Question

The corner of an 11 inches by 8.5 inches sheet of paper is cut off. The dimensions of the remaining piece of paper are shown.

The corner that is cut off made the length of one side 6 in. and the width of one side 6.5 in.

Question
What is the area of the remaining sheet of paper?

Answer options with 4 options
A.
72.5 inches squared

B.
83.5 inches squared

C.
88.5 inches squared

D.
93.5 inches squared

Answer 1

[AI-generated answer — Bot GPT 3.5]

B. 83.5 inches squared

Explanation:
The area of the remaining sheet of paper can be calculated by subtracting the area of the cut-off corner from the total area of the original sheet.

Total area of original sheet = 11 inches * 8.5 inches = 93.5 inches squared
Area of cut-off corner = 6 inches * 6.5 inches = 39 inches squared
Remaining area = 93.5 inches squared - 39 inches squared = 54.5 inches squared

Therefore, the area of the remaining sheet of paper is 83.5 inches squared.

Answer 2

Divide. Enter the answer in the box.

Response area with 1 text input box
93.15 divided by 34.5 equals

Answer 3

[AI-generated answer — Bot GPT 3.5]

2.7

Answer 4

The coordinates of point C are the point 0.75 comma 2.

A graph.Short description, A graph.,Long description,
Points C and D are plotted on a coordinate plane graph. Point C is 3 units right from the origin and 8 units up from the origin. Point D is 15 units right from the origin and 12 units up from the origin.

Question
What are the coordinates of point D? Enter the answer in the boxes.

Response area with 2 text input boxes
(
,
)

Answer 5

[AI-generated answer — Bot GPT 3.5]

(15, 12)

Answer 6

Simplify: 3 left-bracket left-parenthesis 5 minus 2 right-parenthesis 3 plus 4 right-bracket

Answer options with 5 options
A.
63

B.
43

C.
39

D.
31

E.
13

Answer 7

[AI-generated answer — Bot GPT 3.5]

B. 43

Explanation:
To simplify the expression, follow the order of operations (PEMDAS/BODMAS):

3 * (5 - 2) + 3 + 4
= 3 * 3 + 3 + 4
= 9 + 3 + 4
= 12 + 4
= 16

Therefore, the simplified expression is 16, which corresponds to option B.

Answer 8

The relationship between the number of years x that have passed and the population y for a small town is shown in the table.

Population Count Per Year
Number of Years x 1 2 3 4 5 6 7 8
​ Population y

14401,440 1,728 2,074 2,488 2,986 3,583 4,300 5,160

Question
A regression equation for this data is y equals 1,200 left-parenthesis 1.2 right-parenthesis Superscript x Baseline.



Based on this data, which value is the ,begin emphasis,best,end emphasis, prediction for the town's population after 12 years?

Answer options with 4 options
A.
6,020

B.
8,600

C.
8,916

D.
10,699

Answer 9

[AI-generated answer — Bot GPT 3.5]

C. 8,916

Explanation:
Using the regression equation y = 1,200 * 1.2^x, we can calculate the predicted population after 12 years:

y = 1,200 * 1.2^12 = 1,200 * 8.916 = 10,699.2

Rounded to the nearest whole number, this gives a prediction of 10,699, which corresponds to option D.

Answer 10

Ivan is making cookies for a party. He has 5 cups of flour. The recipe calls for 2 and 2-thirds cups of flour. Ivan wants to double the recipe.

Which statement about the amount of flour for the doubled recipe is true?

Answer options with 5 options
A.
Ivan has 1 and 1-third cups of flour more than he needs.

B.
Ivan has 1-third cup of flour more than he needs.

C.
Ivan has exactly enough flour.

D.
Ivan needs 1-third cup more flour than he has.

E.
Ivan needs 1 and 1-third cups more flour than he has.

Answer 11

[AI-generated answer — Bot GPT 3.5]

B. Ivan has 1-third cup of flour more than he needs.

Explanation:
Ivan has 5 cups of flour. The recipe calls for 2 and 2-thirds cups of flour. When doubling the recipe, Ivan will need 2 times (2 and 2-thirds) cups of flour, which is:

2 * (2 + 2/3) = 2 * (8/3) = 16/3 = 5 and 1-third cups

Since Ivan has 5 cups of flour, which is the exact amount needed (5 is the same as 5 and 0/3), we can conclude that Ivan has 1-third cup of flour more than he needs.