Question 1

In a school fund-raiser, 10 students in class A sold an average (arithmetic mean) of 4 boxes of cookies. In class B, 15 students sold an average of 9 boxes. What was the average number of boxes of cookies sold by the 25 students?

Accepted Answer

7

Question 2

The remainder when a number n is divided by 7 is 2. Which of the following is the remainder when 2 n + 1 is divided by 7 ?

Accepted Answer

5.

Question 3

What are all values of x such that x2 + 7 x + 6 = 0 ?

Accepted Answer

x = -6 or x = -1

Question 4

A particular flu vaccine is effective for 90 percent of the patients who receive it. What is the probability that it will be effective for both of the next two randomly selected patients?

Accepted Answer

0.81

Question 5

The number of bacteria present in a laboratory sample after t days can be represented by 500(2 t). What is the initial number of bacteria present in this sample?

Accepted Answer

500

Question 6

Yvonne has studied the cost of tickets over time for her favorite sports team. She has created a model to predict the cost of a ticket in the future. Let C represent the cost of a ticket in dollars and y represent the number of years in the future. Her model is as follows.C = 2.50 y + 13Based on this model, how much will the cost of a ticket increase in two years?

Accepted Answer

$5

Question 7

Cos 2(3 x) + sin 2(3 x) =

Accepted Answer

1

Question 8

The population of the United States is approximately 250 million, and the national debt is approximately 4 trillion dollars. If this debt were divided equally among the population, what would be the debt, in dollars, per person?

Accepted Answer

16,000

Question 9

A rectangular pool 24 feet long, 8 feet wide, and 4 feet deep is filled with water. Water is leaking from the pool at the rate of 0.40 cubic foot per minute. At this rate, how many hours will it take for the water level to drop 1 foot?

Accepted Answer

8

Question 10

It takes 28 minutes for a certain bacteria population to double. If there are 5,241,763 bacteria in this population at 1:00 p.m., which of the following is closest to the number of bacteria in millions at 2:30 p.m. on the same day?

Accepted Answer

40

Question 11

For what value of x is 8 12 = 16 x?

Accepted Answer

9

Question 12

What is the distance between the points (2,10) and (-4,2) in the xy-plane?

Accepted Answer

10

Question 13

In the xy-plane, a line parallel to the x-axis intersects the y-axis at the point (0, 4). This line also intersects a circle in two points. The circle has a radius of 5 and its center is at the origin. What are the coordinates of the two points of intersection?

Accepted Answer

(3, 4) and (-3, 4)

Question 14

Suppose 4 r = 3 s = 10 t, where r, s, and t are positive integers. What is the sum of the least values of r, s, and t for which this equality is true?

Accepted Answer

41

Question 15

3 3 + 4(8-5) ?=

Accepted Answer

29

Question 16

In a group of 1,200 adults, there are 300 vegetarians. What is the ratio of nonvegetarians to vegetarians in the group?

Accepted Answer

3 to 1

Question 17

A certain company keeps a list of 50 employees and their annual salaries. When the salary of the very highly paid president is added to this list, which of the following statistics is most likely to be approximately the same or nearly the same for the original list and the new list?

Accepted Answer

The median

Question 18

The least common multiple of 8, 12, and a third number is 120. Which of the following could be the third number?

Accepted Answer

15

Question 19

The length of a rectangle is 3 more than its width. If L represents the length, what is an expression for the width?

Accepted Answer

L = W + 3
To find an expression for the width (W) in terms of the length (L), we need to isolate W. We can do this by subtracting 3 from both sides of the equation:
L - 3 = W
Therefore, the expression for the width in terms of the length is:
W = L - 3
So the correct answer is:
C) L - 3

Question 20

A circle with diameter 10 centimeters is to be cut from a square of paper 10 centimeters on a side. Of the following, which is closest to the amount of paper left over after the circle is cut out?

Accepted Answer

21 square centimeters.

Quiz 4: (ICE): Mathematics: Part C