What is the quotient of 100÷(−10)÷5?(1 point)
Responses
−50
negative 50
2
2
−200
negative 200
−2
negative 2
−2
What is the quotient of 842.4 ÷ −0.6?(1 point)
Responses
−1,404
negative 1,404
−14.04
negative 14.04
−140.4
negative 140.4
1,404
-1,404
negative 1,404
What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
465100
4 Start Fraction 65 over 100 End Fraction
41320
4 Start Fraction 13 over 20 End Fraction
465
Start Fraction 4 over 65 End Fraction
465
4 Start Fraction 6 over 5 End Fraction
4 Start Fraction 13 over 20 End Fraction
Use long division to convert 2716 to a decimal.(1 point)
Responses
2.4375
2.4375
2.2857
2.2857
2.716
2.716
0.4375
0.4375
2.4375
Use long division to convert 6715 to a decimal.(1 point)
Responses
≈6.47
approximately equals 6.47
≈6.14285
approximately equals 6.14285
6.715
6.715
≈0.46
≈6.14285
approximately equals 6.14285
Multiply & Divide Rational Numbers Unit Test
12 of 1512 of 15 Items
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
−15
negative 15
15
15
50
50
−50
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)×(75)×(−34)÷(715)
(1 point)
Responses
−14775
negative Start Fraction 147 over 75 End Fraction
14775
Start Fraction 147 over 75 End Fraction
−9
negative 9
9
−14775
negative Start Fraction 147 over 75 End Fraction
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)
To solve the word problem, we can subtract the initial depth of the fish from the target depth and then divide that difference by the rate at which the fish descends.
Difference in Depth: -37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
Rate of Descent: 1.5 meters per 2 minutes
Time taken to reach the target depth: (-27 meters) ÷ (1.5 meters per 2 minutes) = -27 meters × (2 minutes per 1.5 meters) = -18 minutes
Therefore, it will take the fish approximately 18 minutes to reach a depth of -37.8 meters.
Explanation: This means that after 18 minutes of descending at a rate of 1.5 meters every 2 minutes, the fish will reach a depth of -37.8 meters below sea level.