Question

Drag the tiles to the correct boxes to complete the pairs.

Match the descriptions of dividing rational numbers to the correct answers.


-2.20

-22

22

440


the average rate of elevation change in feet per second If

a submarine dives 440 feet in 20 seconds

the number of boys if the total height of the boys is 26.4

meters and their average height is 1.2 meters

the average distance in miles traveled in 1 hour if 660 miles

can be covered in 1.5 hours

the average temperature change in degrees Fahrenheit

per hour if the temperature fell 22 degrees Fahrenheit in 10 hours

Answer 1

(a) -22

(b) 22

(c) 440

(d) -2.20

I hope this helps

Answer 2

(a) -22

(b) 22

(c) 440

(d) -2.20

Explanation:

(a)

We need to find the average rate of elevation change in feet per second, if a submarine dives 440 feet in 20 seconds.

Change in position = -440

Change in time = 20

Rate of elevation change is the ratio of change in position and change in time.

Rate of elevation change
`=(-440)/(20)=-22`

Therefore, the average rate of elevation change is -22 feet per second.

(b)

We need to find the number of boys if the total height of the boys is 26.4 meters and their average height is 1.2 meters.

Let n be the number of students.

`\text{Average height}=\frac{\text{Total height}}{\text{No. of students}}`

`1.2=(26.4)/(n)`

`n=(26.4)/(1.2)`

`n=22`

Therefore, the number of boys is 22.

(c)

We need to find the average distance in miles traveled in 1 hour if 660 miles can be covered in 1.5 hours.

1.5 hours = 660 miles

Divide both sides by 1.5 to find the average distance in miles traveled in 1 hour.

1 hours =
`(660)/(1.5)` miles

1 hours = 440 miles

Therefore, the average distance in miles traveled in 1 hour is 440.

(d)

We need to find the average temperature change in degrees Fahrenheit per hour if the temperature fell 22 degrees Fahrenheit in 10 hours.

Average temperature change is the ratio of change in temperature and change in time.

`\text{Average temperature}=\frac{\text{Change in temperature}}{\text{Change in time}}`

`\text{Average temperature}=(-22)/(10)=-2.20`

Therefore, the average temperature change is -2.20 degrees Fahrenheit per hour.