**Which of the following is the correct conversion of 2 3/4 yards into inches?**

33 inches

11 inches

75 inches

99 inches

*Correct Answer : D*

we use the US customary system of units’ equivalent to convert from yards to inches. We know that 1yard=3 ft, and 1 ft =12 inches.

First, convert 2 ¾ into an improper fraction.

Then,

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Related Questions

### Correct Answer is D

#### Explanation

Percentages always add up to 100%. If we let x be the percent of graduates working for jobs unrelated to law, then

74%+3%+2%+x=100%

79%+x=100%

Subtract 79% from both sides of the equation

79%-79%+x=100%

x=100%-79%

x=21%

So, the number of graduates working for jobs unrelated to law is 21%.

### Correct Answer is D

#### Explanation

We can interpret ‘cannot exceed” as less than ‘<’. Therefore, in our inequality, the symbol < must be included. Now let’s convert the word problem into a mathematical inequality.

Money spent on supplies=s

Money spent on textbooks=t

Total money spent=money spent on supplies + money spent on textbooks

Total money spent = s+t

But the money spent cannot exceed $12,000. Then,

s+t <$12,000.

However the money spent can still be equal to $12000, as it has not exceeded it.

Therefore, therequired inequality is s + t <= $12,000.

### Correct Answer is D

#### Explanation

Round trip means to and from, which is twice the distance from home to a medical facility.

In one day, the round trip=19+19=38 miles

So, in 22 days, the round trip=38*22=836 miles.

The patient will cover 836 miles in 22 days.

### Correct Answer is A

#### Explanation

We need to find the length of the rectangle from the given area and width of the rectangle. Let L be length if the rectangle. Then,

Area of rectangle=Length*width

Substituting area=32 in2 and w=4 inches

32=L*4

32=4L

Divide both sides by 4

32/4=4L/4

8=L

The length of the rectangle is 8 inches.

### Correct Answer is C

#### Explanation

When dividing fractions, the division sign is changed into multiply sign and the first fraction is multiplied by the inverse of the second fraction.

Change division to multiply sign and find invers of 5/8. The inverse of a fraction is inverting the given fraction. The denominator becomes the numerator and the numerator becomes the denominator.

* *

### Correct Answer is B

#### Explanation

we are asked to change 400 mg to g. We use the conversion 1g=1000mg, which we can write as:

So, 400 mg to g becomes

### Correct Answer is A

#### Explanation

From the given problem,

49.5 pounds of fertilizer is needed to farm 1 acre of land. This can be interpreted as:

Or

Now we are needed to find the acres of land that will be farmed using 2000 pounds of fertilizers. To solve this, we use the second option as follows:

2000 pounds of fertilizers can farm approximately 40 acres of land.

### Correct Answer is D

#### Explanation

To answer this question, we need to observe the trend of the number of days with dollars. On day 2, the dollars were 8, after 5 days, the dollars decreased to 3, after 13 days, the dollars increased to 10. After 14 days, the dollars declined to 6 and again rose to 16 dollars after 19 days.

From this observation, we cannot be able to establishany correlation between days and dollars.

### Correct Answer is A

#### Explanation

In this problem, we take the triangle as a right-angled triangle and label it as follows:

From the Pythagoras theorem A2 + B2= C2, we can look for a combination of A and B that when the squares of A and B are summed give a square of 13. Mathematically,

But C=13 inches

If we take A=5 inches and B=12 inches, then

Next, we take A=2.5 inches, B=6 inches

Next, we take A=2.5 inches, B=4 inches

*6.25+16=169*

*22.25≠169*

Taking A=5 inches and B=8 inches

From the above computation, the combination of A=5 inches and B=12 inches give a triangle with a hypothenuse of 13 inches.

### Correct Answer is D

#### Explanation

We solve the problem by first finding the amount of gallons needed for the whole trip then find the cost of the gallon.

The car uses 1 gallon to cover 25 miles, which is same as:

Now, in 3000 miles, the car will use how many gallons of gasoline?

A trip of 3000 miles will need 120 gallons. And to find the cost of 120 gallons, we proceed as follows:

The family will spend $199.20 to drive for 3000 miles.

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