A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi (
)?
11.25 πin2
29.57 πin2
18.35 πin2
20.25 πin2
Correct Answer : D
We need to find the radius in order to find the area of the pizza.
Radius of pizza

The area of the pizza

But r=4.5

Thus, the area of the pizza is 20.25
in2.
NOTE:
is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize.
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Related Questions
Correct Answer is A
Explanation
In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.

It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.
Correct Answer is C
Explanation
In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:
- Is means equals
- Of means multiply
- What means unknown (variable)
If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:

So, the value of x=9.376 and to the nearest cent, x=9.38
There, a couple will leave a gratuity of $9.38.
Correct Answer is D
Explanation
The babies' measured weights change over time and depend on the time interval after birth. Since weight is the outcome being measured, it is the dependent variable in the study.
Correct Answer is A
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Thus, the correct statement is a.
Correct Answer is D
Explanation
We need to find the radius in order to find the area of the pizza.
Radius of pizza

The area of the pizza

But r=4.5

Thus, the area of the pizza is 20.25
in2.
NOTE:
is used as is since values of pi may vary e.g. 3.14, 3.142, 22/7. Hence we use pi symbol to generalize.
Correct Answer is C
Explanation
We know that 1 L =1000 mL, which we use to convert between the two units. The conversion fractions of interconverting are:

And

Since we want to end up with millimeters, the second conversion is used in converting L to mL as:

Thus, 3.2 L is equivalent to 3200 mL.
Correct Answer is C
Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
Correct Answer is A
Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
43÷
55=43/55
5/7
0.729=729/1000
73%=73/100
Now, we need to find the least common denominator of 55, 7, 1000, and 100, which is 77000. We multiply each fraction by 77000 as follows:
43/55*77000=60200
5/7*77000=55000
729/1000*77000=56133
73/100*77000=56210
From the calculated values, it can be noted that 43/55 is the greatest value among the given options.
Correct Answer is B
Explanation
: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:

The fraction above reduces into

In ratio form, girls: boys=13:11
Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.
Correct Answer is C
Explanation
Explanation: We know that 1 L=1000 mL and to change between L and mL we use the following two options

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