Question

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

4 6/5

4 13/20

4/65

4 65/100

Answer 1

[AI-generated answer — Bot GPT 3.5]

The answer is: 4 13/20

Answer 2

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

2.716

2.4375

2.2857

0.4375

Answer 3

[AI-generated answer — Bot GPT 3.5]

To convert 2 7/16 to a decimal using long division, you would proceed as follows:

0.4375
-------------
16 | 2.7000
- 2.560
------
1.400
- 1.280
----
0.120
- 0.096
----
0.024
- 0.016
----
0.008

After the long division, we can see that the remainder 0.008 goes on indefinitely. Hence, 2 7/16 as a decimal is approximately 2.4375.

Therefore, the correct answer is 2.4375.

Answer 4

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

O \approx 6.47

O \approx 6.14285

6.715

approx 0.46

Answer 5

[AI-generated answer — Bot GPT 3.5]

To convert 6 7/15 to a decimal using long division, you would proceed as follows:

0.4666...
-------------
15 | 6.70000
- 6.60000
-----
1.00000
- 0.97500
-------
0.02500
- 0.02250
--------
0.00250

After the long division, we can see that the remainder 0.00250 goes on indefinitely. Hence, 6 7/15 as a decimal is approximately 6.4666... or 6.47 rounded to two decimal places.

Therefore, the correct answer is approximately 6.47.

Answer 6

A pilot is flying an airplane.

the plot 3.5 minutes to make

your answer to the nearest

The quotient that best

Due to strong winds, the pilot decides to fly 4,000 feet lower to avoid excessive this adjustment. Interpret the quotient to describe the rate of change hundredth, and remember the plane is descending. (1 point) feet/minute.

represents the rate of change in the plane's altitude is

turbulence. It takes

in the plane's altitude. Give

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the rate of change in the plane's altitude, we can use the given information that it takes 3.5 minutes to descend 4,000 feet lower.

The rate of change can be calculated by dividing the change in altitude by the time taken:

Rate of change = Change in altitude / Time taken

Rate of change = 4000 feet / 3.5 minutes

Rate of change ≈ 1142.857 feet/minute (rounded to the nearest hundredth)

Therefore, the interpretation is that the plane is descending at a rate of approximately 1142.857 feet/minute.

Answer 8

Multiply & Divide Rational Numbers Unit Test

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)

O-15

O-50

O 15

50

Answer 9

[AI-generated answer — Bot GPT 3.5]

To find the change in the amount of water in gallons per minute, we can divide the amount of water removed in 5 minutes by 5.

Change in amount of water = Amount of water removed / Time taken

Change in amount of water = 250 gallons / 5 minutes

Change in amount of water = 50 gallons/minute

Therefore, the change in the amount of water in one minute is 50 gallons per minute.

The correct answer is 50.

Answer 10

Multiply - 1 1/6 by 7. Write the answer as a mixed number. (1 point)

Answer 11

[AI-generated answer — Bot GPT 3.5]

To multiply -1 1/6 by 7, we can first convert -1 1/6 to an improper fraction:

-1 1/6 = -(6/6 + 1/6) = -7/6

Now we multiply -7/6 by 7:

-7/6 * 7 = -(7 * 7) / 6 = -49/6

To write the answer as a mixed number, we divide the numerator (-49) by the denominator (6). The quotient is the whole number, and the remainder is the fraction:

-49 divided by 6 is -8 remainder -1

So the mixed number is -8 1/6.

Therefore, the answer as a mixed number is: -8 1/6.

Answer 12

Of the cars in a used-car lot, 2/3 are the color 1/1 the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form. (1 point)

Answer 13

[AI-generated answer — Bot GPT 3.5]

To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fractions representing the proportion of gray cars and electrically powered cars.

Given that 2/3 of the cars are gray (2/3) and all gray cars are electrically powered (1/1), we can multiply these fractions:

(2/3) * (1/1) = 2/3

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/3 in simplified form.