Question

lake profondo has a depth of 84 feet. lake segundo is 5/6 as deep. what is the elivation at the bottom of the lake segundo?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the depth of lake segundo, we can multiply the depth of lake profondo by 5/6.

Depth of lake segundo = (5/6) * 84 feet

Depth of lake segundo = (5/6) * 84

Depth of lake segundo = (5 * 84)/6

Depth of lake segundo = 420/6

Depth of lake segundo = 70 feet

Therefore, the elevation at the bottom of lake segundo is 70 feet.

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.

Answer 3

[AI-generated answer — Bot GPT 3.5]

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

Rate of change in altitude = Change in altitude / Time taken

Rate of change in altitude = 4000 feet / 3.5 minutes

Rate of change in altitude ≈ 1142.86 feet per minute.

Therefore, the rate of change in the plane's altitude is approximately 1142.86 feet per minute.

Answer 4

solve the following word problem. a fish is swimming at -10.8 meters, or 10.8 meters below sea level. every 2 minutes it descends another 1.5 meters. how long will it take for the fish to reach a depth of -37.8 meters? show your work and write a sentance to explain what your answer means.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the time it takes for the fish to reach a depth of -37.8 meters, we can subtract the current depth (-10.8 meters) from the desired depth (-37.8 meters) and divide it by the rate of descent (1.5 meters per 2 minutes).

Time = (Desired depth - Current depth) / Rate of descent

Time = (-37.8 meters - (-10.8 meters)) / (1.5 meters per 2 minutes)

Time = (-37.8 meters + 10.8 meters) / (1.5 meters per 2 minutes)

Time = -27 meters / (1.5 meters per 2 minutes)

Time = -27 meters / 1.5 meters * (2/1) minutes

Time = -27 meters / 1.5 meters * 2 minutes

Time = -27 meters / 3 meters

Time = -9 minutes

Since time cannot be negative in this context, we take the absolute value of the answer, giving us:

Time = 9 minutes

Therefore, it will take the fish 9 minutes to reach a depth of -37.8 meters.

This means that after 9 minutes, the fish will be 37.8 meters below sea level.

Answer 6

solve the following word problem. a fish is swimming at -10.8 meters, or 10.8 meters below sea level. every 2 minutes it descends another 1.5 meters. how long will it take for the fish to reach a depth of -37.8 meters?

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the time it takes for the fish to reach a depth of -37.8 meters, we can subtract the current depth (-10.8 meters) from the desired depth (-37.8 meters) and divide it by the rate of descent (1.5 meters per 2 minutes).

Change in depth = Desired depth - Current depth
Change in depth = -37.8 meters - (-10.8 meters)
Change in depth = -37.8 meters + 10.8 meters
Change in depth = -27 meters

Rate of descent = 1.5 meters per 2 minutes

Time = Change in depth / Rate of descent
Time = -27 meters / (1.5 meters per 2 minutes)

Simplifying the units:

Time = -27 meters / (1.5 meters / 2 minutes)
Time = -27 meters * (2 minutes / 1.5 meters)
Time = -54 minutes / 1.5 meters

Simplifying the fraction:

Time = -36 minutes

Since time cannot be negative in this context, it means that the fish will not reach a depth of -37.8 meters.

Answer 8

divide -72 by -4. then divide the quotion by -9. what is the final quotient?(1 point)

Answer 9

[AI-generated answer — Bot GPT 3.5]

When we divide -72 by -4, we get a quotient of 18:

Quotient = -72 / -4
Quotient = 18

Then, when we divide the quotient (18) by -9, we get the final quotient:

Final quotient = 18 / -9
Final quotient = -2

Therefore, the final quotient is -2.

Answer 10

multiply 82 x (-13).(1 point)

Answer 11

[AI-generated answer — Bot GPT 3.5]

The product of 82 multiplied by -13 is -1066.

Answer 12

multiply -1 1/6 by 7. write the answers as a mixed number.(1 point)

Answer 13

[AI-generated answer — Bot GPT 3.5]

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

-1 1/6 as an improper fraction:

-1 1/6 = -7/6

Now, let's multiply -7/6 by 7:

-7/6 * 7 = -49/6

To write the result as a mixed number, we divide the numerator (-49) by the denominator (6) and express the remainder as a proper fraction:

Dividing -49 by 6, we have a quotient of -8 with a remainder of -1.

So, the mixed number is -8 -1/6.

Answer 14

of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the cars are electrically powered vehicles. what fraction of the cars on the lot are both gray and electrically powered? leave your answer in simplified from.(1 point)

Answer 15

[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 each individual characteristic.

Fraction of cars that are gray = 2/5
Fraction of cars that are electrically powered = 1/3

To find the fraction that has both characteristics, we multiply these fractions:

Fraction of cars that are both gray and electrically powered = (2/5) * (1/3)

Multiplying the numerators and denominators:

= (2 * 1) / (5 * 3)

= 2/15

Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.

Answer 16

solve the following word problem. a fish is swimming at -10.8 meters, or 10.8 meters below sea level. every 2 minutes it descends another 1.5 meters. how long will it take for the fish to reach a depth of -37.8 meters? show your work and write a sentence to explain what your answer means.(4 points)