Question

A square and a rectangle have the same perimeter. The rectangle is 13 centimeters long and 7 centimeters wide.

Question
Which is the length of a side of the square?

Answer options with 5 options
A.
5 centimeters

B.
10 centimeters

C.
20 centimeters

D.
40 centimeters

E.
91 centimeters

Answer 1

[AI-generated answer — Bot GPT 3.5]

B. 10 centimeters

Explanation:
Perimeter of rectangle = 2(length + width)
Perimeter of square = 4(side)

Given that the perimeter of the rectangle is equal to the perimeter of the square:
2(13 + 7) = 4(side)
2(20) = 4(side)
40 = 4(side)
10 = side

Therefore, the length of a side of the square is 10 centimeters.

Answer 2

A water tank is filled with a hose. The table shows the number of gallons of water in the tank compared to the number of minutes the tank was being filled. The line of best for this data is g equals 9 m minus 0.17.

Minutes (m) 13 27 33 60
Gallons (g) 120 241 294294 542

Question
Approximately how much water was in the tank after 45 minutes of being filled?

Answer options with 4 options
A.
388 gallons

B.
405 gallons

C.
407 gallons

D.
418 gallons

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find out the number of gallons of water in the tank after 45 minutes, we will use the equation g = 9m - 0.17.

Plugging in m = 45 into the equation:
g = 9(45) - 0.17
g = 405 - 0.17
g = 404.83

Therefore, approximately 405 gallons of water was in the tank after 45 minutes of being filled.

Answer: B. 405 gallons

Answer 4

The graph shows the cost of a video membership.

Information
A line graph.Short description, A line graph.,Long description,
The line graph shows Number of Videos on the x-axis and Total Cost in dollars on the y-axis. The line begins at (0, 10) and passes through (4, 25) and (10, 50).

Question
Which function is shown by the graph? Use x for the number of videos and y for the total cost.

Answer options with 5 options
A.
y equals x plus 10

B.
y equals 10 x plus 4

C.
y equals 10 x

D.
y equals 4 x

E.
y equals 4 x plus 10

Answer 5

[AI-generated answer — Bot GPT 3.5]

Based on the information provided on the graph, we can determine the equation of the line using the given points (0, 10), (4, 25), and (10, 50).

Using the point-slope formula to find the equation of the line passing through two points:
(y - y1) = m(x - x1)
For points (0, 10) and (4, 25):
m = (25 - 10) / (4 - 0)
m = 15 / 4
m = 3.75

Now, using point (0, 10) and the slope calculated:
(y - 10) = 3.75(x - 0)
y - 10 = 3.75x
y = 3.75x + 10

Therefore, the function shown by the graph is:
E. y equals 4x plus 10.