Question

What is 78÷34 ?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

2.2941

Answer 2

oh sorry heres the real problem

What is 7/8÷3/4 ?(1 point)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To divide two fractions, you multiply the first fraction by the reciprocal of the second fraction.

7/8 ÷ 3/4

= 7/8 x (4/3)

= (7*4) / (8*3)

= 28/24

Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4.

= (28/4) / (24/4)

= 7/6

Therefore, 7/8 ÷ 3/4 equals 7/6.

Answer 4

Sierra is driving her truck across the country. Today she drove 32512 miles and used 1512 gallons of gas. What is her unit rate of miles per gallon?(1 point)

miles per gallon

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the unit rate of miles per gallon, we divide the total miles driven by the total gallons of gas used.

Unit rate = Total miles driven / Total gallons of gas used

Unit rate = 32512 miles / 1512 gallons

Calculating this, we get:

Unit rate ≈ 21.48 miles per gallon

Therefore, Sierra's unit rate of miles per gallon is approximately 21.48.

Answer 6

Sierra is driving her truck across the country. Today she drove 325 1/2 miles and used 15 1/2 gallons of gas. What is her unit rate of miles per gallon?(1 point)

miles per gallon

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the unit rate of miles per gallon, we divide the total miles driven by the total gallons of gas used.

First, let's convert the mixed numbers into improper fractions:
325 1/2 = 325 + 1/2 = 325 * 2/2 + 1/2 = 650/2 + 1/2 = 651/2
15 1/2 = 15 + 1/2 = 15 * 2/2 + 1/2 = 30/2 + 1/2 = 31/2

Unit rate = Total miles driven / Total gallons of gas used

Unit rate = (651/2) miles / (31/2) gallons

Next, let's simplify the fractions:
Unit rate = (651/2) / (31/2)

Dividing fractions is the same as multiplying by the reciprocal:
Unit rate = (651/2) * (2/31)

Canceling out the common factor of 2:
Unit rate = (651/1) * (1/31)

Unit rate = 651/31

Therefore, Sierra's unit rate of miles per gallon is 651/31.

Answer 8

Use the table to answer the question.

Raspberry Lemonade
1 2.5
2 5
4 10
6 15
Rosie is planning to make raspberry lemonade for a party. She needs to add 2 scoops of raspberry to every 5 cups of lemonade. The data table shows the ratios needed. At what ratio does the constant of proportionality appear?

(1 point)

Answer 9

[AI-generated answer — Bot GPT 3.5]

To determine the ratio at which the constant of proportionality appears, we can compare the ratio between the number of raspberry scoops and the number of cups of lemonade.

Looking at the table, we can see that as the number of raspberry scoops doubles (from 1 to 2), the number of cups of lemonade also doubles (from 2.5 to 5). This means that the ratio of raspberry scoops to cups of lemonade remains constant at 1:2.5.

Therefore, the constant of proportionality appears at the ratio 1:2.5.

Answer 10

Use the table to answer the question.

# of Trees # of Apples
2 26
3 39
6 78
10 130
12 156
Determine if the quantities in the data table are in a proportional relationship. If they are not in a proportional relationship, indicate why.

(1 point)

Answer 11

[AI-generated answer — Bot GPT 3.5]

To determine if the quantities in the data table are in a proportional relationship, we need to see if the ratio between the number of trees and the number of apples remains constant.

Let's calculate the ratios for each pair of values:

Ratio between 2 and 26: 26/2 = 13
Ratio between 3 and 39: 39/3 = 13
Ratio between 6 and 78: 78/6 = 13
Ratio between 10 and 130: 130/10 = 13
Ratio between 12 and 156: 156/12 = 13

As we can see, the ratio between the number of trees and the number of apples is always 13. This means that the quantities in the data table are in a proportional relationship.

Therefore, the quantities in the data table are in a proportional relationship with a ratio of 13:1.

Answer 12

Unit Rates & Proportions Unit Test

7 of 157 of 15 Items

Question
Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis 4 comma 9 right parenthesis, left parenthesis 5 comma 0 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find the slope of a line, we use the formula:

slope = change in y / change in x

In this case, we can see that the line passes through the points (4, 9) and (5, 0).

The change in x is equal to the difference in their x-coordinates:

change in x = 5 - 4 = 1

The change in y is equal to the difference in their y-coordinates:

change in y = 0 - 9 = -9

Now, we can calculate the slope:

slope = (-9) / 1 = -9

Therefore, the slope of the line given its graph is -9.