The width of a rectangle is 4 inches (in) and the area of the rectangle is 32 in2. Which of the following is the length of the rectangle?
8 in
28 in
36 in
128 in
Correct Answer : A
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.
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Explanation
We are given that 1 teaspoon=4.93 mL, we can interpret it as:

Or

Since we are to find the amount in mL, we look for an option that will cancel teaspoon and remain with mL. The second option is the required conversion, and we proceed as follows:

Therefore, 2.5 teaspoons hold about 12.325 mL.
Correct Answer is A
Explanation
A whole pizza is equivalent to 1. Then
One friend eats half of the pizza=1/2 of 1=1/2*1=1/2
Remaining amount of pizza to be shared=1-1/2=2/2-1/2=1/2
Now, three friends share ½ equally and each friend will get,
           
Thus, the three friends each share 1/6.
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Explanation
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Explanation
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.

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Explanation
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Correct Answer is C
Explanation
We extrapolate the values of a line between 10 and 15 on y-axis to meet the curve and drop another line from the intersection of the curve to meet the x-axis and read off the age of the car.
Now, let’s extrapolate in the following diagram

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Explanation
The whole pie chart represents 100%, which we use together with the given percentages to find the respective different sports. Note that 100% is equal to 500 surveyed students. The, the number of teenagers who prefer:
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Hockey

Football

Basketball

Other

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

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Correct Answer is D
Explanation
A teaspoon can approximately hold 5 mL.
Although the capacity of a teaspoon could be more or less, choice D remains the most correct answer as the other choices have amounts too much for a small teaspoon.
Correct Answer is D
Explanation
We use the properties of exponent with the same base to solve for above expression.
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Division of exponents with same base, we subtract the exponents

Using these two properties, we can solve the expression:


Now we use the following properties:
y0 =1, and
, thus

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