Question
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.
The quotient that best represents the rate of change in the plane's altitude is -1142.86 feet/minute.
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
15
50
50
−15
The change in the amount of water in the fire engine's tank in 1 minute is -50 gallons.
Use the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7 1/5)
(1 point)
Responses
−9
negative 9
−147 7/5
negative Start Fraction 147 over 75 End Fraction
9
9
147 7/5
To solve the expression (−4)×(7/5)×(−3/4)÷(7 1/5), we can simplify it step by step:
First, let's multiply the numbers: (-4) × (7/5) × (-3/4) equals 84/20.
Next, let's divide by the mixed number: 84/20 ÷ (7 1/5).
To divide by a mixed number, we need to convert it to an improper fraction. (7 1/5) is equal to 36/5.
So, 84/20 ÷ (7 1/5) becomes 84/20 ÷ (36/5).
To divide fractions, we multiply by the reciprocal of the divisor. In this case, the reciprocal of 36/5 is 5/36.
So, 84/20 ÷ (36/5) is equal to 84/20 × (5/36).
Now, let's multiply: 84/20 × 5/36 equals 420/720.
Finally, we can simplify this fraction: 420/720 is equal to 7/12.
Therefore, the value of the expression (−4)×(7/5)×(−3/4)÷(7 1/5) is 7/12.