Which of the following is the decimal equivalent of 7/25?

A. 0.28

B. 3.4

C. 3.57

D. 0.18

Answer Explanation:

7/25 is the same as 7÷25. The value becomes 0.28.

Thus, 0.28 is the decimal equivalent of 7/25.

Therefore, the Correct Answer is A.

Q #1: Which of the following is the appropriate unit of a measure to express the weight of a spoon?

A. Liter

B. Milliliter

C. Gram

D. Kilogram

Answer Explanation

We required to find the units of finding the weight of a spoon. The mass is measured in kilogram and grams. Kilograms are used to measure the mass of heavier objects while grams for small and lighter objects.

Thus, gram is the appropriate unit for measuring weight of a spoon.
Q #2: A person weighed themselves at 180 lb. Three months later they weighed themselves at 160 lb. Which of the following is the percent of weight the person lost over 3 months? (Round to the nearest percent.)

A. 20%

B. 13%

C. 11%

D. 9%

Answer Explanation

The question requires us to find the percentage change in weight of a person.

First, we need to find the change in weight over the 3 months

Change in weight= 180-160=20 lb

Percent change in weight is change of original weight *100. Thus

The percent change in weight is 11% to the nearest whole number.
Q #3: The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?

A. A = 5x

B. A = 2x+2(x+5)

C. A = x(x+5)

D. A = x+(x+5)

Answer Explanation

We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.

Length of rectangle=(x+5)

Width of the rectangle= x

Area of the rectangle, A= Length*width=(x+5)*x

A=x(x+5)

Thus, the area of the rectangle is x(x+5).
Q #4: The American with Disabilities Act (ADA) requires that the slope of a wheelchair ramp be no greater than 1:12. Which of the following is the minimum length of a ramp needed to provide access to a door that is 2.5 feet above the sidewalk?

A. 25 feet

B. 145 feet

C. 32.5 feet

D. 30 feet

Answer Explanation

The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,

Cross-multiply to find the value of x

Thus, the minimum length of the ramp needed is 30 feet to access to a door that is 2.5 feet above the sidewalk.
Q #5: -2/3, -0.7, -1.3, -4/3 Of the number listed above, which number is the greatest?

A. -2/3

B. -0.7

C. -1.3

D. -4/3

Answer Explanation

To find the greatest number from the given options, we first convert the decimal numbers into fractions.

-0.7 becomes 7/10

-1.3 becomes 13/10

Then, we find the LCM for the denominators of the given fractions. The LCM of 3 and 10 is 30. Now we can multiply each fraction with the LCM.

-2/3*30=-20

-7/10*30=-70

-13/10*30=-39

-4/3*30=-40

Comparing the obtained values from above, -20 is the greatest followed by -39, -40, -70 in that order. The fraction -2/3 gave a value of -20, which was the greatest value. Thus, -2/3 is the greatest value from the given option.
Q #6: Which of the following is the value of x in the equation below

A. x= -1/2 or x=3/2

B. x= -1 or x=2

C. x =-2 or x= 1

D. x= -3/2 or x= 1/2

Answer Explanation

We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

Add 10 to both sides of the equation

Next, we apply the absolute rule:

, a>0, then u=a or u=-a

In this case a=12, which is greater 0. Then, the first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -1 or 2.
Q #7: Which of the following is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)

A. 72 cm

B. 180 cm

C. 36 cm

D. 90 cm

Answer Explanation

We convert the given value in yard to the cm using the following set up.

The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.
Q #8: Which of the following is the decimal form of 87.5%?

A. 8,750

B. 875

C. 8.75

D. 0.875

Answer Explanation

Percentages are fractions with denominator equal to 100. The given percent is divided by 100. To convert it to a decimal form, we move the decimal point two points to the left from the current position. Thus

The decimal form of 87.5% is 0.875.
Q #9: Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?

A. 1/6

B. 1/3

C. ¼

D. 1/5

Answer Explanation

What fraction of the pizza the other three friends get is what is asked to find.

First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:

First friend eats =1/2 of 1=1/2

Remaining fraction of the pizza=1-1/2=1/2

Now, the three friends share ½ amongst themselves equally. Then, each friend gets

The three friends each gets 1/6 of the pizza.
Q #10: A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water is in one fully filled bucket?

A. 14/15

B. 2 7/15

C. 8 2/5

D. 6 4/5

Answer Explanation

We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.

First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.