Tüm alıştırma soruları

Soru 3481Soru →

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

Cevabı ve açıklamayı göster

Cevap: 165

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

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

Soru 3482Soru →

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

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

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).

Adım Adım Çözüm

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".

Anahtar Kavram

Prefix and Suffix Analysis in Synonym Determination

Tahmini Süre:1m 0s

Soru 3483Soru →

The word EXCULPATE most nearly means which of the following?

excavate

exonerate

incriminate

forgive

Cevabı ve açıklamayı göster

Cevap: exonerate

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Isolated vocabulary identification using Latin roots and precise semantic matching

Tahmini Süre:30s

Soru 3484Soru →

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

Cevabı ve açıklamayı göster

Cevap: 03:25

Cevap

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.

Adım Adım Çözüm

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).

Anahtar Kavram

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

Soru 3485Soru →

What is the closest synonym for the word FRUGAL?

fragile

wasteful

thrifty

fruitful

Cevabı ve açıklamayı göster

Cevap: thrifty

Cevap

thrifty

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

Adım Adım Çözüm

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.

Anahtar Kavram

Direct synonym identification for isolated vocabulary adjectives

Tahmini Süre:30s

Soru 3486Soru →

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

Cevabı ve açıklamayı göster

Cevap: lessen

Cevap

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'.

Adım Adım Çözüm

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.

Anahtar Kavram

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

Tahmini Süre:35s

Soru 3487Soru →

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

Cevabı ve açıklamayı göster

Cevap: misleading

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Using contrast and descriptive context clues to deduce contextual synonyms

Tahmini Süre:45s

Soru 3488Soru →

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

Cevabı ve açıklamayı göster

Cevap: thrifty

Cevap

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'.

Adım Adım Çözüm

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.

Anahtar Kavram

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

Tahmini Süre:35s

Soru 3489Soru →

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?

Cevabı ve açıklamayı göster

Cevap: 6600

Cevap

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.

Adım Adım Çözüm

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

.

Anahtar Kavram

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

Soru 3490Soru →

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

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

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).

Adım Adım Çözüm

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'.

Anahtar Kavram

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

Tahmini Süre:1m 0s

Soru 3491Soru →

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

Cevabı ve açıklamayı göster

Cevap: $\$400\pi$

Cevap

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

.

Adım Adım Çözüm

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.

Anahtar Kavram

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.

Tahmini Süre:2m 0s

Soru 3492Soru →

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

Aşağıdaki boşlukları doldurun

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

Cevabı ve açıklamayı göster

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Prefix Analysis ('bi-' meaning two)

Tahmini Süre:30s

Soru 3493Soru →

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?

Soldaki öğeye tıklayın, sonra eşleşen sağdaki öğeye tıklayın

Cevabı ve açıklamayı göster

Cevap

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'.

Adım Adım Çözüm

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.

Anahtar Kavram

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

Tahmini Süre:1m 15s

Soru 3494Soru →

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

Cevabı ve açıklamayı göster

Cevap: 354 miles

Cevap

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}

.

Adım Adım Çözüm

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.

Anahtar Kavram

Calculating distance using mixed time units across multiple journey segments

Soru 3495Soru →

What is the closest synonym for the word EQUANIMITY?

equality

agitation

composure

indifference

Cevabı ve açıklamayı göster

Cevap: composure

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Identifying isolated vocabulary synonyms through semantic precision and root analysis

Tahmini Süre:45s

Soru 3496Soru →

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?

Aşağıdaki boşlukları doldurun

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

Cevabı ve açıklamayı göster

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

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

Tahmini Süre:45s

Soru 3497Soru →

What word most accurately reflects the meaning of EQUANIMITY?

composure

fairness

animosity

agitation

Cevabı ve açıklamayı göster

Cevap: composure

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Isolated Word Synonyms

Soru 3498Soru →

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

Cevabı ve açıklamayı göster

Cevap: $\$1,440$

Cevap

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

).

Adım Adım Çözüm

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.

Anahtar Kavram

Rectangular Area Applications

Tahmini Süre:2m 30s

Soru 3499Soru →

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

Cevabı ve açıklamayı göster

Cevap: malleable

Cevap

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'.

Adım Adım Çözüm

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.

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Context Clues for Synonyms (Contrast and Restatement)

Soru 3500Soru →

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 $1 \text{ mile} = 5,280 \text{ feet}$ .)

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Cevap: 1080

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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.

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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.

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

Tahmini Süre:2m 0s

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