What is the quotient of 842.4 ÷ −0.6?(1 point)

Responses

−14.04
negative 14.04

−1,404
negative 1,404

−140.4
negative 140.4

1,404
1,404

The correct answer is -1404

What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)

Responses

4 65/100
4 Start Fraction 65 over 100 End Fraction

4 6/5
4 Start Fraction 6 over 5 End Fraction

4 13/20
4 Start Fraction 13 over 20 End Fraction

4/65

The correct answer is 4 13/20.

Use long division to convert 2 7/16 to a decimal.(1 point)

Responses

2.4375
2.4375

0.4375
0.4375

2.2857
2.2857

2.716

To convert 2 7/16 to a decimal using long division, you would divide 7 by 16:

0.4375
____________
16 | 7.0000

The quotient is 0.4375. So the correct answer is 0.4375.

Use long division to convert 6 7/15 to a decimal.(1 point)

Responses

≈6.14285
approximately equals 6.14285

6.715
6.715

≈6.47
approximately equals 6.47

≈0.46

To convert 6 7/15 to a decimal using long division, you would divide 7 by 15:

0.46666...
____________
15 | 7.00000...

The quotient is 0.46666..., which approximates to 0.47. So the correct answer is approximately 6.47.

A pilot is flying an airplane. Due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive turbulence. It takes the pilot 3.5 minutes to make this adjustment. Interpret the quotient to describe the rate of change in the plane’s altitude. Give your answer to the nearest hundredth, and remember the plane is descending.(1 point)

The quotient that best represents the rate of change in the plane’s altitude is
feet/minute.

To find the rate of change in the plane's altitude, we divide the change in altitude (4,000 feet) by the time taken to make the adjustment (3.5 minutes):

Rate of change = Change in altitude / Time taken
Rate of change = 4,000 feet / 3.5 minutes

Simplifying this division, we find that the rate of change in the plane's altitude is approximately 1142.86 feet/minute (rounded to the nearest hundredth).

A fire engine’s water tank holds 750 gallons of water. If the pump removes 250 gallons of water in 5 minutes, what is the change in the amount of water in gallons in 1 minute?(1 point)

Responses

−50
negative 50

−15
negative 15

50
50

15