Question

Use long division to convert 6 to a decimal. 15
A 6.14285
B 6.47
C 6.715
D ≈ 0.46

Answer 1

Use long division to convert 6 7/15 to a decimal.
A 6.14285
B 6.47
C 6.715
D ≈ 0.46

Answer 2

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 ANSWER is feet/minute.

Answer 3

To convert 6 to a decimal using long division, divide 6 by 15:

0.4
------------------
15 | 6.0
6. (subtract: 6 - 6 = 0)

The decimal representation of 6 ÷ 15 is 0.4. Therefore, the correct answer is D) ≈ 0.46.

Answer 4

To convert 6 7/15 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction.
6 7/15 = (6 * 15 + 7)/15 = 97/15

Step 2: Divide 97 by 15 using long division:

6.4
---------------
15 | 97
90 (subtract: 97 - 90 = 7)
75 (subtract: 90 - 75 = 15)
0

Step 3: Place the decimal point and write the remainder as a decimal. The quotient (the number outside the division bar) is the whole number part of the mixed number.

Therefore, the decimal representation of 6 7/15 is approximately 6.4. Thus, the correct answer is B) 6.47

Answer 5

To find the rate of change in the plane's altitude, we need to divide the change in altitude (4,000 feet) by the time it took to make that adjustment (3.5 minutes).

Rate of change = Change in altitude / Time

Rate of change = 4,000 feet / 3.5 minutes

To find this quotient to the nearest hundredth, we divide 4,000 by 3.5:

Rate of change = 1142.86 feet/minute (rounded to the nearest hundredth)

Therefore, the quotient that best represents the rate of change in the plane’s altitude is approximately 1142.86 feet/minute.