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 = 5x
A = 2x+2(x+5)
A = x(x+5)
A = x+(x+5)
Correct Answer : C
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).
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Correct Answer is C
Explanation
We are asked to make x the subject of the formula.
First, we add z to both sides of the equation


Multiply both sides by y


The above equation can be rearranged into

Thus, the formula for finding the value of x is y(z+rw).
Correct Answer is D
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.
Correct Answer is C
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.
Correct Answer is C
Explanation
We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.
Monday’s price was $50.33
Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68
Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61
Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36
Therefore, the price of the stock on Thursday was $52.36.
Correct Answer is B
Explanation
By inspection, we find the corresponding values of the given denominations in the following manner.
Correct Answer is B
Explanation
We need to find the circumference of the circle from the given area.
To find the circumference, we need to find the radius of the circle from the given area.
Let r be the radius of the circle, and the area of the circle is given by

Substituting the value of area in the above equation becomes

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle is 7 in. and the circumference of the circle is given by the relation:
 
Correct Answer is C
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.
Correct Answer is C
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.
Correct Answer is C
Explanation
To calculate the percentage increase in client volume, use the formula:
PercentageIncrease×100
Step 1: Identify values
- Old Value (Year 1): 841 clients
- New Value (Year 2): 1,072 clients
Step 2: Compute the increase
1,072−841=231
Step 3: Calculate the percentage increase
×100 ≈ 27.47%
Step 4: Choose the closest answer
The closest option is 27%.
Correct Answer is B
Explanation
We use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator, 
Multiplying the square root above with 10 becomes

The approximate value is 44.7.
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