All practice questions

Question 3481Question →

A military training exercise lasts for exactly 2 hours and 45 minutes. What is the total duration of the exercise in minutes?

Show answer & explanation

Answer: 165

Answer

165

The correct total is found by converting the 2 hours into 120 minutes and adding the extra 45 minutes, resulting in a total of 165 minutes.

Step-by-Step Solution

1

Convert the hours portion of the duration to minutes.

2 hours × 60 minutes/hour = 120 minutes.

Time is based on a base-60 system, meaning each hour contains exactly 60 minutes.

2

Add the remaining minutes to the converted hour total.

120 minutes + 45 minutes = 165 minutes.

To find the total duration in a single unit, all partial time units must be combined.

Key Concept

Converting mixed time units (hours and minutes) into a single unit (minutes).

Question 3482Question →

Match each vocabulary word containing key prefixes and suffixes on the left to its most accurate synonym on the right based on morphological analysis.

Click a left item, then click its matching right item

Show answer & explanation

Answer

Circumspect pairs with Prudent; Dispassionate pairs with Impartial; Immutable pairs with Unchangeable; Retroactive pairs with Backdated.

Each word's precise meaning is determined by its constituent affixes and root: "Circumspect" means looking around prudently, "Dispassionate" means without bias or passion (impartial), "Immutable" means not capable of change (unchangeable), and "Retroactive" means acting backward in time (backdated).

Step-by-Step Solution

1

Analyze the word parts of "Circumspect".

The prefix "circum-" signifies "around" and the root "spect" means "to look or observe."

A word meaning "looking around with caution" corresponds directly to "Prudent".

2

Analyze the word parts of "Dispassionate".

The negative prefix "dis-" indicates "without or free from," modifying "passion."

Operating without emotional bias or personal passion describes being "Impartial".

3

Analyze the word parts of "Immutable".

The prefix "im-" indicates negation, "mut" relates to change, and "-able" indicates capacity.

An adjective describing something that cannot undergo change matches "Unchangeable".

4

Analyze the word parts of "Retroactive".

The prefix "retro-" denotes "backward in time," combined with "act" and suffix "-ive."

An action or measure taking effect prior to its creation matches "Backdated".

Key Concept

Prefix and Suffix Analysis in Synonym Determination

Estimated Time:1m 0s

Question 3483Question →

The word EXCULPATE most nearly means which of the following?

excavate

exonerate

incriminate

forgive

Show answer & explanation

Answer: exonerate

Answer

The word 'exonerate' is the precise synonym for EXCULPATE.

To exculpate means to clear someone from alleged fault, guilt, or liability. The term 'exonerate' is its direct synonym, conveying the exact meaning of freeing someone from accusation or blame.

Step-by-Step Solution

1

Analyze the morphological components of the target word EXCULPATE

The prefix 'ex-' indicates 'out of' or 'away from', and the Latin root 'culpa' means 'blame' or 'guilt'.

Etymological analysis reveals the foundational meaning of clearing away blame.

2

Define the formal meaning of EXCULPATE

To exculpate means to officially free from blame, prove guiltless, or clear of a formal accusation.

Establishing the precise denotation enables accurate comparison against the choices.

3

Evaluate the answer choices to identify the equivalent term

The verb 'exonerate' (from Latin 'ex' + 'onus' / burden/charge) identically means to clear from an accusation or blame.

Matching both grammatical part of speech and exact semantic definition confirms the synonym.

Key Concept

Isolated vocabulary identification using Latin roots and precise semantic matching

Estimated Time:30s

Question 3484Question →

A surveillance drone has a maximum flight endurance of 345 minutes before its battery is completely depleted. If the drone is launched at 21:40 for a continuous mission, at what time will the drone's battery be completely depleted?

01:25

03:15

03:25

03:55

Show answer & explanation

Answer: 03:25

Answer

03:25

To find the completion time, you must add the total duration to the start time. First, convert 345 minutes into hours and minutes by dividing by 60, which gives 5 hours with a remainder of 45 minutes. Next, add 5 hours and 45 minutes to the launch time of 21:40. Adding the hours gives 26:40. Adding the 45 minutes gives 26:85. Since 85 minutes is equivalent to 1 hour and 25 minutes, this shifts the time to 27:25. Finally, subtract 24:00 to account for crossing midnight, resulting in the correct time of 03:25.

Step-by-Step Solution

1

Convert the total flight duration from minutes to hours and minutes.

345 minutes ÷ 60 = 5 hours with a remainder of 45 minutes.

Converting to hours and minutes makes it easier to add to the given start time.

2

Add the flight hours to the launch time.

21:40 + 5 hours = 26:40.

This finds the hour of completion before adjusting for the 24-hour clock.

3

Add the remaining flight minutes to the result from Step 2.

26:40 + 45 minutes = 26:85.

This incorporates the remaining minutes of the flight time.

4

Format the resulting time into a standard 24-hour clock format.

26:85 becomes 27:25 (since 85 minutes is 1 hour and 25 minutes). 27:25 on a 24-hour clock is calculated as 27:25 - 24:00 = 03:25.

Time must be expressed in a standard 24-hour format, properly accounting for crossing midnight (24:00).

Key Concept

Converting minutes into hours and minutes, and accurately adding elapsed time across the midnight boundary on a 24-hour clock.

Question 3485Question →

What is the closest synonym for the word FRUGAL?

fragile

wasteful

thrifty

fruitful

Show answer & explanation

Answer: thrifty

Answer

thrifty

The adjective 'frugal' characterizes someone or something that is prudent, economical, and careful to avoid waste. The term 'thrifty' expresses this exact meaning.

Step-by-Step Solution

1

Identify the definition and grammatical form of the target word FRUGAL.

FRUGAL is an adjective meaning economical, sparing, or prudent with money, food, or resources.

Establishing the precise dictionary definition provides the exact standard for evaluating synonyms.

2

Evaluate the answer choices to identify the term with an equivalent meaning.

The word 'thrifty' means practicing economy and avoiding waste, which directly mirrors the meaning of 'frugal'.

A direct synonym must share the same core meaning and part of speech as the target word.

Key Concept

Direct synonym identification for isolated vocabulary adjectives

Estimated Time:30s

Question 3486Question →

During the severe winter storm, highway crews spread salt and gravel across the roadways to mitigate hazardous travel conditions.

In this sentence, what does the word "mitigate" most nearly mean?

intensify

lessen

eliminate

prosecute

Show answer & explanation

Answer: lessen

Answer

lessen

In the provided sentence, road maintenance crews apply salt and gravel to decrease the danger of winter driving. Therefore, the word 'mitigate' most nearly means 'lessen'.

Step-by-Step Solution

1

Examine the surrounding context clues and the action performed in the sentence.

Highway crews are spreading salt and gravel on roads during a storm to deal with hazardous driving conditions.

Understanding why road crews spread salt and gravel clarifies the intent to reduce risk and make the roadway safer.

2

Determine the precise synonym that matches the contextual goal.

The word 'mitigate' means to make something less severe, painful, or harmful, which corresponds directly to 'lessen'.

Replacing 'mitigate' with 'lessen' preserves the logical flow and intended meaning of the sentence.

Key Concept

Using cause-and-effect contextual clues in a sentence to determine word meaning and identify synonyms.

Estimated Time:35s

Question 3487Question →

Although the vendor's presentation offered specious arguments that seemed plausible at first glance, a detailed technical audit revealed fundamental architectural flaws and deceptive benchmarks. In this sentence, the word specious most nearly means:

genuine

spacious

misleading

elaborate

Show answer & explanation

Answer: misleading

Answer

misleading

The correct answer is 'misleading' because the context contrasts arguments that 'seemed plausible at first glance' with the audit's discovery of 'deceptive benchmarks.' In vocabulary usage, 'specious' means superficially plausible but fundamentally wrong or deceptive.

Step-by-Step Solution

1

Analyze the sentence structure and identify contextual transition markers.

The subordinating conjunction 'Although' sets up a contrast between how the arguments appeared ('seemed plausible at first glance') and what they actually were.

Contrast clues signal that the true quality of the arguments is the opposite of superficial plausibility.

2

Examine the restatement and consequence clues in the main clause.

The technical audit uncovered 'fundamental architectural flaws and deceptive benchmarks.'

These descriptive phrases define the underlying nature of the arguments as false and invalid.

3

Select the option that matches the meaning of appearing correct on the surface while being deceptively flawed.

'Misleading' accurately captures the definition of 'specious' in this context.

Replacing 'specious' with 'misleading' preserves the logical flow and meaning of the sentence.

Key Concept

Using contrast and descriptive context clues to deduce contextual synonyms

Estimated Time:45s

Question 3488Question →

Because the municipal budget was tight, the committee adopted a frugal approach, spending money only on essential repairs and avoiding any wasteful purchases.

In this sentence, frugal most nearly means which of the following?

generous

thrifty

careless

wealthy

Show answer & explanation

Answer: thrifty

Answer

thrifty

The context clues 'spending money only on essential repairs' and 'avoiding any wasteful purchases' directly describe an economical, prudent approach to managing money. Therefore, 'thrifty' is the synonym that most nearly matches the meaning of 'frugal'.

Step-by-Step Solution

1

Analyze the sentence for definition and explanatory context clues.

The sentence states that the budget was tight, funds were spent only on essential repairs, and wasteful purchases were strictly avoided.

Surrounding phrases explain the exact practical behavior associated with the target word.

2

Select the option that matches the meaning of practicing strict financial economy and avoiding waste.

The word 'thrifty' directly means being economical and spending money with caution.

Matching the contextual definition to the correct synonym identifies the precise intended meaning.

Key Concept

Using definition and example context clues to determine the meaning of an unfamiliar word

Estimated Time:35s

Question 3489Question →

A facility manager is replacing the flooring in a rectangular open-plan office that measures $60\text{ ft}$ in length and $46\text{ ft}$ in width. The office contains two identical rectangular utility columns, each measuring $6\text{ ft}$ by $5\text{ ft}$ , which will not be covered with the new flooring. If the new flooring material costs $\$22.00$ per square yard, what is the total cost of the flooring material required for the office in dollars?

Show answer & explanation

Answer: 6600

Answer

6600

The correct calculation correctly subtracts the area of the utility columns to find the net area in square feet, correctly converts this area to square yards by dividing by 9, and then multiplies by the price per square yard to find the final total cost.

Step-by-Step Solution

1

Calculate the gross area of the office.

2760 sq ft

The total rectangular area without accounting for the utility columns is

60 \times 46

.

2

Calculate the total area of the two utility columns.

60 sq ft

Each column is

6 \times 5 = 30\text{ sq ft}

, and there are two of them, so

30 \times 2 = 60\text{ sq ft}

.

3

Subtract the column area from the gross area.

2700 sq ft

This provides the net area that requires new flooring.

4

Convert the net area from square feet to square yards.

300 sq yd

The flooring cost is given per square yard, and there are

9\text{ sq ft}

in

1\text{ sq yd}

. Therefore,

2700 \div 9 = 300

.

5

Calculate the total cost of the flooring material.

6600

Multiply the area in square yards by the cost per square yard:

300 \times 22 = 6600

.

Key Concept

Calculating subtractive rectangular area and applying square unit conversions to determine total cost.

Question 3490Question →

Match each capitalized vocabulary term on the left with its most accurate isolated synonym on the right.

Click a left item, then click its matching right item

Show answer & explanation

Answer

OBDURATE matches Unyielding; TACITURN matches Reticent; SPURIOUS matches Inauthentic; PRODIGAL matches Extravagant.

Each vocabulary term is paired with its precise semantic equivalent: OBDURATE corresponds to Unyielding (obstinate), TACITURN corresponds to Reticent (uncommunicative), SPURIOUS corresponds to Inauthentic (counterfeit), and PRODIGAL corresponds to Extravagant (wasteful).

Step-by-Step Solution

1

Analyze OBDURATE

Identified as meaning stubbornly unyielding or inflexible.

Direct semantic pairing matches with 'Unyielding'.

2

Analyze TACITURN

Identified as meaning silent, reserved, or speaking very little.

Direct semantic pairing matches with 'Reticent'.

3

Analyze SPURIOUS

Identified as meaning false, bogus, or not genuine.

Direct semantic pairing matches with 'Inauthentic'.

4

Analyze PRODIGAL

Identified as meaning wastefully lavish or spendthrift.

Direct semantic pairing matches with 'Extravagant'.

Key Concept

Identifying precise semantic equivalences for isolated, advanced-tier adjectives without contextual cues.

Estimated Time:1m 0s

Question 3491Question →

A city is designing a circular park with a diameter of $60$ meters. In the center of the park, there will be a circular concrete plaza with a diameter of $20$ meters. The rest of the park will be covered in grass. If the cost to plant grass is $\$0.50$ per square meter, what will be the total cost to plant the grass, expressed in terms of $\pi$ ?

\$20\pi

\$400\pi

\$800\pi

\$1,600\pi

Show answer & explanation

Answer: $\$400\pi$

Answer

The correct total cost is

\$400\pi

.

The correct answer is found by first calculating the area of the entire circular park and subtracting the area of the concrete plaza. Using the formula

Area = \pi r^2

, the park's area is

\pi(30)^2 = 900\pi

and the plaza's area is

\pi(10)^2 = 100\pi

. The difference is

800\pi

square meters. Multiplying this by the cost of

\$0.50

per square meter results in a total cost of

\$400\pi

.

Step-by-Step Solution

1

Find the radii of the entire park and the central plaza.

Park radius =

30

m. Plaza radius =

10

m.

The area formula for a circle requires the radius, which is half of the diameter.

2

Calculate the total area of the park and the area of the plaza in terms of

\pi

.

Total Area =

\pi(30)^2 = 900\pi

. Plaza Area =

\pi(10)^2 = 100\pi

.

We must determine the individual areas to find the space remaining for the grass.

3

Subtract the plaza area from the total park area to find the area to be covered in grass.

Grass Area =

900\pi - 100\pi = 800\pi

square meters.

The grass will cover the portion of the park that is not occupied by the concrete plaza.

4

Multiply the grass area by the unit cost to plant the grass.

Total Cost =

800\pi \times \$0.50 = \$400\pi

.

The final question asks for the total cost, which is the area multiplied by the price per square meter.

Key Concept

Calculating the area of an annulus (a ring shape) by subtracting the area of an inner circle from an outer circle, and applying unit rates.

Estimated Time:2m 0s

Question 3492Question →

Which word containing the prefix meaning 'two' correctly completes the sentence?

Fill in the blanks below

A person who is fluent in two distinct languages is described as .

Show answer & explanation

Answer

bilingual

The prefix 'bi-' means 'two,' and the root 'lingual' refers to language or tongue. Combining these affixes produces 'bilingual,' which precisely describes someone who speaks two languages.

Step-by-Step Solution

1

Analyze the prefix requirement and sentence context.

The sentence describes an individual who can speak two languages fluently.

The prefix 'bi-' directly signifies 'two' or 'double'.

2

Combine the prefix with the root word related to language.

The root 'lingual' pertains to language or speech, producing the complete word 'bilingual'.

Morphological analysis confirms 'bilingual' accurately defines the ability to use two languages.

Key Concept

Prefix Analysis ('bi-' meaning two)

Estimated Time:30s

Question 3493Question →

Read the following sentences and analyze the context clues around each bolded word. Which definition correctly matches each bolded word as used in its sentence?

Click a left item, then click its matching right item

Show answer & explanation

Answer

Expedient matches 'Practical and suitable for immediate needs'; Meticulous matches 'Extremely thorough, precise, and attentive to details'; Resolute matches 'Firm, unwavering, and steadfast in purpose'; Hampered matches 'Obstructed, slowed down, or hindered'.

Each pair is matched based on explicit syntactic and semantic clues: prioritizing quick action over a permanent fix defines 'expedient', double-checking components demonstrates 'meticulous', refusing to yield under setbacks defines 'resolute', and weather-induced delays illustrate 'hampered'.

Step-by-Step Solution

1

Analyze the context clues for 'expedient' in the first sentence.

The contrast between a rapid patch and a permanent fix reveals a focus on immediate practicality and speed.

Contextual contrast isolates the practical, short-term meaning of the word.

2

Evaluate the behavioral description associated with 'meticulous' in the second sentence.

Verifying every single connection twice demonstrates extreme thoroughness and care.

Descriptive action clues directly demonstrate the underlying definition.

3

Identify the attitude described by 'resolute' in the third sentence.

Refusing to abandon the protocol under adverse conditions signals steadfast determination.

Reaction to adversity indicates an unwavering mindset.

4

Examine the cause-and-effect relationship involving 'hampered' in the fourth sentence.

A storm causing significant operational delays shows that the movement was obstructed.

Cause-and-effect clues clarify how an external obstacle impedes progress.

Key Concept

Using contrast clues, descriptive behaviors, and cause-and-effect relationships within sentences to deduce precise contextual synonyms.

Estimated Time:1m 15s

Question 3494Question →

A high-speed passenger train travels between two major cities. It covers the first segment of the journey at an average speed of $120\text{ mph}$ for $1\text{ hour and } 45\text{ minutes}$ . Due to track maintenance, it reduces its speed to $40\text{ mph}$ for $36\text{ minutes}$ . After clearing the maintenance zone, it accelerates and travels at $150\text{ mph}$ for $48\text{ minutes}$ to reach its final destination. What is the total distance of the trip?

354 miles

260.4 miles

325.5 miles

330 miles

Show answer & explanation

Answer: 354 miles

Answer

354 miles

The total distance is found by calculating the distance of each leg separately and adding them together. First, convert all minute values into hours by dividing by 60 (

1\text{ hr } 45\text{ min} = 1.75\text{ hr}

;

36\text{ min} = 0.6\text{ hr}

;

48\text{ min} = 0.8\text{ hr}

). Then, multiply each time by its corresponding speed to find the distances:

120 \times 1.75 = 210\text{ miles}

;

40 \times 0.6 = 24\text{ miles}

; and

150 \times 0.8 = 120\text{ miles}

. Adding these together gives

210 + 24 + 120 = 354\text{ miles}

.

Step-by-Step Solution

1

Convert the travel time for the first segment into hours.

45\text{ minutes} = \frac{45}{60}\text{ hours} = 0.75\text{ hours}

. Total time

= 1.75\text{ hours}

.

Speed is given in miles per hour (mph), so time must be in hours to calculate distance correctly.

2

Calculate the distance covered in the first segment.

Distance

= 120\text{ mph} \times 1.75\text{ hours} = 210\text{ miles}

.

Applying the formula Distance = Rate × Time for the first leg of the journey.

3

Convert the time and calculate the distance for the second (maintenance) segment.

Time

= \frac{36}{60}\text{ hours} = 0.6\text{ hours}

. Distance

= 40\text{ mph} \times 0.6\text{ hours} = 24\text{ miles}

.

The second segment has a different speed and time that must be evaluated independently.

4

Convert the time and calculate the distance for the final segment.

Time

= \frac{48}{60}\text{ hours} = 0.8\text{ hours}

. Distance

= 150\text{ mph} \times 0.8\text{ hours} = 120\text{ miles}

.

The final segment has its own rate and duration to calculate.

5

Sum the distances of all segments to find the total distance.

210 + 24 + 120 = 354\text{ miles}

.

The total distance of a multi-leg journey is the sum of the distances of the individual legs.

Key Concept

Calculating distance using mixed time units across multiple journey segments

Question 3495Question →

What is the closest synonym for the word EQUANIMITY?

equality

agitation

composure

indifference

Show answer & explanation

Answer: composure

Answer

Composure is the closest synonym for equanimity.

Equanimity refers to steady calmness, mental poise, and even-tempered control, especially under stress. 'Composure' is its direct semantic equivalent, expressing self-possession and calm dignity.

Step-by-Step Solution

1

Analyze the denotation of the target word

Equanimity originates from the Latin roots for 'even' (aequus) and 'mind/spirit' (animus), denoting mental calmness, evenness of temper, and poise under difficult circumstances.

Establishing the precise denotation is necessary to distinguish exact synonyms from near-misses and false cognates.

2

Evaluate the answer choices against the target definition

Composure signifies the state of being calm and in control of oneself, precisely reflecting the emotional equilibrium defined by equanimity.

Comparing each option's semantic scope eliminates antonyms, root-confusion distractors, and tonal mismatches.

Key Concept

Identifying isolated vocabulary synonyms through semantic precision and root analysis

Estimated Time:45s

Question 3496Question →

Based on morphological analysis using the negative prefix 'in-' (meaning 'not') and the adjective suffix '-ible' (meaning 'capable of'), which derived word correctly completes the statement below?

Fill in the blanks below

Due to the loud machinery on the factory floor, the supervisor's spoken warning was completely to the nearby workers.

Show answer & explanation

Answer

inaudible

The word 'inaudible' is constructed from the negative prefix 'in-' (meaning 'not'), the Latin root 'aud' (meaning 'to hear'), and the suffix '-ible' (meaning 'capable of being'). Combined, the term denotes something impossible to hear, perfectly completing the scenario where loud ambient noise obscures spoken communication.

Step-by-Step Solution

1

Break down the required word into its morphological components based on the context of sound and hearing.

Identify the negative prefix 'in-' (not), the root 'aud' (to hear), and the suffix '-ible' (capable of being).

The sentence describes spoken words that could not be heard over machinery noise.

2

Combine the prefix, root, and suffix to form the target word.

in- + aud + -ible = inaudible.

The combined word 'inaudible' means 'incapable of being heard', which accurately fits the grammatical and contextual demands of the sentence.

Key Concept

Prefix and Suffix Analysis (Negative prefix 'in-' and suffix '-ible')

Estimated Time:45s

Question 3497Question →

What word most accurately reflects the meaning of EQUANIMITY?

composure

fairness

animosity

agitation

Show answer & explanation

Answer: composure

Answer

composure

The target word refers to a state of mental calmness, evenness of temper, and emotional balance, especially in difficult situations. The correct option is a direct synonym that encapsulates this exact state of being composed and balanced.

Step-by-Step Solution

1

Analyze the root structure of the isolated target word.

The word contains the Latin roots 'aequus' (meaning even or equal) and 'animus' (meaning mind or spirit).

Breaking down complex, high-tier vocabulary into roots helps deduce precise meaning without relying on context.

2

Determine the exact definition based on the combined roots.

The combined roots translate literally to 'evenness of mind', referring to mental calmness, especially under stress.

Establishing a firm definition prevents confusion from misleading answer choices that share similar roots or letters.

3

Evaluate the provided options against the established definition.

The option meaning 'mental calmness' perfectly aligns with the target word, while the others represent opposites, unrelated concepts, or root misinterpretations.

Selecting the correct direct synonym requires eliminating highly plausible but factually incorrect distractors.

Key Concept

Isolated Word Synonyms

Question 3498Question →

An agricultural company is installing a weed-blocking fabric on the dirt floor of a rectangular greenhouse that is $120 \text{ feet}$ long and $45 \text{ feet}$ wide. Inside the greenhouse, there are three identical rectangular planting beds, each measuring $30 \text{ feet}$ by $12 \text{ feet}$ , which will not be covered by the fabric. The fabric is sold in rolls that cover $15 \text{ square yards}$ each, and each roll costs $\$45$ . Assuming partial rolls cannot be purchased and the company must buy whole rolls, what is the total cost of the fabric rolls needed to cover the designated floor area?

\$990

\$4,320

\$1,440

\$12,960

Show answer & explanation

Answer: $\$1,440$

Answer

The total cost of the fabric rolls needed is

\$1,440

.

The correct total cost is found by determining the subtractive area in square feet (

5,400 - 1,080 = 4,320

), converting that area to square yards by dividing by

9

(

480 \text{ sq yd}

), determining the number of

15

-square-yard rolls needed (

32

), and multiplying by the price per roll (

\$45

).

Step-by-Step Solution

1

Calculate the total area of the greenhouse floor.

120 \text{ feet} \times 45 \text{ feet} = 5,400 \text{ sq ft}

This establishes the maximum possible area to be covered before accounting for the exclusions.

2

Calculate the total area of the three planting beds.

3 \times (30 \text{ feet} \times 12 \text{ feet}) = 3 \times 360 \text{ sq ft} = 1,080 \text{ sq ft}

The planting beds are not getting covered, so their combined area must be subtracted.

3

Subtract the area of the planting beds from the total greenhouse area.

5,400 \text{ sq ft} - 1,080 \text{ sq ft} = 4,320 \text{ sq ft}

This provides the net area of the floor that requires the weed-blocking fabric.

4

Convert the net area from square feet to square yards.

4,320 \text{ sq ft} \div 9 \text{ sq ft/sq yd} = 480 \text{ sq yd}

The fabric is sold based on coverage in square yards, so the area units must match. There are

9

square feet in one square yard (

3 \text{ ft} \times 3 \text{ ft}

).

5

Determine the number of rolls needed.

480 \text{ sq yd} \div 15 \text{ sq yd/roll} = 32 \text{ rolls}

Dividing the total square yards by the coverage per roll gives the required number of rolls.

6

Calculate the total cost of the rolls.

32 \text{ rolls} \times \$45/\text{roll} = \$1,440

Multiplying the needed number of rolls by the price per roll provides the final cost.

Key Concept

Rectangular Area Applications

Estimated Time:2m 30s

Question 3499Question →

Contrary to the historically popular belief that the adult human brain is rigid and unchanging, modern neuroscientists have demonstrated that neural pathways remain highly plastic throughout a person's life, constantly rewiring and adapting to new experiences.

Which of the following most nearly means the word plastic as it is used in the sentence above?

artificial

superficial

malleable

static

Show answer & explanation

Answer: malleable

Answer

The correct answer is malleable.

The sentence uses the contrast phrase 'Contrary to' to oppose the idea of a 'rigid and unchanging' brain. Furthermore, it defines the target word by stating the pathways are 'constantly rewiring and adapting'. Therefore, the word describes something that can change shape or function. The word that best matches 'adaptable and changeable' is 'malleable'.

Step-by-Step Solution

1

Analyze the sentence structure for context clues.

The sentence begins with the contrast phrase 'Contrary to', which sets up an opposition to the idea that the brain is 'rigid and unchanging'.

Identifying contrast transitions helps determine whether the target word is a synonym or antonym of surrounding descriptions.

2

Examine the direct defining clues provided after the target word.

The phrase 'constantly rewiring and adapting to new experiences' acts as a direct explanation of what it means for the pathways to be highly 'plastic'.

Authors often provide an explanatory phrase immediately following a difficult or domain-specific vocabulary word.

3

Evaluate the answer choices against the established meaning of 'adaptable and changeable'.

The word 'malleable' means capable of being altered or controlled by outside forces, which perfectly matches the context of a changing, adaptable brain.

Matching the synthesized contextual meaning with the correct synonym eliminates distractors based on secondary meanings.

Key Concept

Context Clues for Synonyms (Contrast and Restatement)

Question 3500Question →

A military supply vehicle is equipped with tires that have a radius of $14$ inches. How many complete revolutions does each tire make if the vehicle travels a straight-line distance of $1.5$ miles? (Use $\pi = \frac{22}{7}$ and $1 \text{ mile} = 5,280 \text{ feet}$ .)

Show answer & explanation

Answer: 1080

Answer

1080

The total distance must be converted into inches (

1.5 \text{ miles} \times 5,280 \text{ ft/mile} \times 12 \text{ in/ft} = 95,040 \text{ inches}

). The tire's circumference (

2 \times \frac{22}{7} \times 14 = 88 \text{ inches}

) represents one revolution. Dividing the total distance by the circumference (

95,040 \div 88

) gives exactly

1,080

complete revolutions.

Step-by-Step Solution

1

Convert the total travel distance from miles to feet.

1.5 \times 5,280 = 7,920

feet

The distance must be in the same units as the tire measurements. It is easier to step down to feet first.

2

Convert the distance from feet to inches.

7,920 \times 12 = 95,040

inches

Since the tire radius is in inches, the total distance must also be in inches to calculate revolutions accurately.

3

Calculate the circumference of the tire.

C = 2 \times \pi \times r = 2 \times \frac{22}{7} \times 14 = 88

inches

One revolution of the tire equals its circumference, representing the distance traveled in a single rotation.

4

Calculate the total number of complete revolutions.

95,040 \div 88 = 1,080

revolutions

Dividing the total distance by the distance per revolution yields the total number of revolutions.

Key Concept

Calculating distance traveled using wheel revolutions requires relating linear distance to circular circumference, while ensuring all units of measurement are consistent.

Estimated Time:2m 0s

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