A large pizza has a diameter of 12 inches. Which of the following is the area of the pizza in terms of pi (
)?
24 πi n2
48 π in2
18π in2
36 π in2
Correct Answer : D
Before finding the area of the pizza, we need to find the radius of the pizza.
Find radius of the pizza in terms of diameter

Next, find area of the pizza using the radius of 6 inches

Substituting r=6 in the equation of the area of a circle

Thus, the pizza has an area of 36 π in2.
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Explanation
To change between L and mL, the following two options are used.

Correct Answer is D
Explanation
Here we convert between feet and yards. We know 1 yard =3 feet. Then, 27 feet to yards will be:

Thus, 9 yards is equal to 27 ft.
Correct Answer is A
Explanation
We solve for the value of x by following the order of operations
3(x-2)=15
Divide both sides of the equation by 3


Add 2 to both sides of the equation


Thus, the value of x is 8.
Correct Answer is C
Explanation
To convert 514 to a percentage:
Step 1: Convert the mixed number to a decimal
514=5+14=5+0.25=5.255
Step 2: Convert to a percentage
Multiply by 100:
5.25×100=525%
Correct Answer is D
Explanation
Scatter plots can depict three correlations: positive, negative and no correlation. A positive correlation scatter plot reveals that as one variable increases, the other variable also increases as shown below

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Explanation
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected.

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Explanation
We are required to find the percent equivalent of the given fraction.
We multiply 7/8 by 100 to convert it to percent. You convert fraction to percent.

Thus 7/8 is equal to 87.5%.
Correct Answer is C
Explanation
Let x be the original price of the recliner.
Step 1: Apply the 30% discount
The recliner is on sale for 30% less than the original price:
SalePrice=x−0.3x=0.7x
Step 2: Apply the 25% coupon discount
The consumer gets an additional 25% off the sale price:
FinalPrice=0.7x−0.25(0.7x) = 0.525x
Step 3: Solve for x
The consumer paid $237, so:
0.525x=237
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Rounding to the nearest dollar, the original price is $451.
Correct Answer is A
Explanation
We analyze the given statement with the graph given as follows:
For option a: the points per game decreased five times between 1996 and 2015. So, the statement is true.
For option b: the lowest points scored per game was in 1998-99 season. So, the statement is false.
For option c: 2008-09 was the season the chargers scored the greatest number of points per game and not 2002-03 as claimed in the statement. So, this statement is not true.
Correct Answer is B
Explanation
To solve this problem, we need to have all options in fraction form.
74
95 = 
7/8 = 3/8
0.72 = 72/100
74% = 74/100
Now, find the least common denominator of 95, 8, and 100. The least common denominator is 3800, which we multiply by each fraction as follows:
74/95*3800=2960
7/8*3800=3325
72/100*3800=2736
74/100*3800=2812
We can see that the fraction 7/8 is the greatest among the given options.
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