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.
The quotient the best represents the rate of change in the air plane's altitude is ____ feet/minute.
To find the quotient that represents the rate of change in the airplane's altitude, we divide the change in altitude by the time it took to make the adjustment.
The change in altitude is 4,000 feet (since the pilot decided to fly 4,000 feet lower).
The time it took to make the adjustment is 3.5 minutes.
Therefore, the quotient that represents the rate of change in the airplane's altitude is 4000 feet / 3.5 minutes.
Calculating this quotient, we find that the rate of change in the airplane's altitude is approximately 1142.86 feet/minute to the nearest hundredth.
A fire engine's tank holds 750 gals of water. if the pump removes 250 gals of water every 5 minutes, what is the change in the amount of water in gals in 1 minute?
1. 50
2. 15
3. -15
4.-50
To find the change in the amount of water in gallons in 1 minute, we need to divide the amount of water removed in 5 minutes by 5.
The amount of water being removed in 5 minutes is 250 gallons.
Therefore, the change in the amount of water in 1 minute is 250 gallons / 5 minutes = 50 gallons.
Therefore, the correct answer is 1. 50 gallons.
A fire engine's tank holds 750 gals of water. if the pump removes 250 gals of water every 5 minutes, what is the change in the amount of water in gals in 1 minute?
1. 50
2. 15
3. -15
4. -50
To find the change in the amount of water in gallons in 1 minute, we can determine the rate at which water is being removed by dividing the amount of water removed in 5 minutes by 5.
The amount of water being removed in 5 minutes is 250 gallons.
Therefore, the rate of water removal is 250 gallons / 5 minutes = 50 gallons/minute.
Because the question is asking for the change in the amount of water in gallons in 1 minute, the correct answer is 1. 50 gallons.
negative or positive 50?
Apologies for the confusion. The change in the amount of water in gallons in 1 minute would be -50 gallons, as the pump removes water from the tank.
Use the order of operation to solve:
(-4) x (7/5) x (-3/4) / (7/15)
A) 9
B) -9
C) 147/75
D) -147/75
To solve this expression using the order of operations, we follow the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, let's simplify the expression inside the parentheses:
(-4) x (7/5) x (-3/4) / (7/15)
= (-28/5) x (-3/4) / (7/15)
Next, let's perform the multiplication:
= (28/5) x (3/4) / (7/15)
= (84/20) / (7/15)
Now, let's perform the division:
= (84/20) x (15/7)
= (12/5) x (15/7)
= 180/35
Finally, let's simplify the fraction:
= 36/7
The simplified expression is 36/7, which is not one of the given answer choices. Therefore, none of the provided answer choices is correct.
To find the rate of change in the airplane's altitude, we divide the total change in altitude by the time it took to make the adjustment.
In this case, the airplane descended 4,000 feet, and it took 3.5 minutes to make this adjustment.
We can now calculate the rate of change by dividing the change in altitude (4,000 feet) by the time (3.5 minutes).
Rate of change = Change in altitude / Time
Rate of change = 4,000 feet / 3.5 minutes
To find the answer in feet/minute, we divide 4,000 by 3.5.
Rate of change = 1,142.857 feet/minute
Rounding this to the nearest hundredth gives us the final answer:
Rate of change ≈ 1,142.86 feet/minute.
Therefore, the quotient that best represents the rate of change in the airplane's altitude is approximately 1,142.86 feet/minute.