A squirrel has stored its acorns in a hole that is 45 feet from the ground in a tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to its stored acorns in 5.25 seconds. Interpret the quotient to describe the rate of change in the squirrel’s height above the ground. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the squirrel’s height above the ground is -19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
Question 2
2. A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water. It went from its highest point above the water to its lowest depth in 12.5 seconds. Interpret the quotient to describe the average rate of change in the dolphin’s position. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
Question 3
3. The scuba diver was at a depth below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver’s depth. Give your answer to the nearest hundredth.
(1 point)
Responses
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.49 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.49 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.
Question 4
4. Solve using division of rational numbers. If a car’s value decreases by $4000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)(1 point)
Responses
$333.33
$333.33
$0.003
$0.003
-$0.003
-$0.003
-$333.33
-$333.33
Question 5
5. It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?(1 point)
Responses
-0.4 ounces
-0.4 ounces
4 ounces
4 ounces
0.4 ounces
0.4 ounces
-4 ounces
A1:−178.1
A2:15.35
A3:2 3/11
A4:-2
A5:-3 1/4
Conexes
-4 ounces
A squirrel has stored its acorns in a hole that is 45 feet from the ground in a tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to its stored acorns in 5.25 seconds. Interpret the quotient to describe the rate of change in the squirrel’s height above the ground. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the squirrel’s height above the ground is -19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
Question 2
2. A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water. It went from its highest point above the water to its lowest depth in 12.5 seconds. Interpret the quotient to describe the average rate of change in the dolphin’s position.
Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
Question 3
3. The scuba diver was at a depth below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver’s depth. Give your answer to the nearest hundredth.
(1 point)
Responses
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.49 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.49 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second
.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.
Question 4
4. Solve using division of rational numbers. If a car’s value decreases by $4000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)(1 point)
Responses
$333.33
$0.003
$0.003
-$0.003
-$0.003
-$333.33
-$333.33
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the diver’s depth is -0.99 meters/second.
The value of the car decreases by $333.33 per month.
Joshua is sharing half of a pizza with three friends. Which expression can be used to find the fraction of a whole pizza each person will get, if they sprint what they have evenly?(1 point)
Responses
2⋅4
2 times 4
12⋅4
1 half times 4
2⋅14
2 times 1 fourth
12⋅14
1 half times 4
Which quotient is between -4 and -5?
Hint: Use your calculator for this problem.
(1 point)
Responses
−913÷2
negative 9 and 1 third divided by 2
−512÷(−112)
negative 5 and 1 half divided by open paren negative 1 and 1 half close paren
256÷(−12)
2 and 5 sixths divided by open paren negative 1 half close paren
123÷(−12)
−513 ÷ (−112)
Convert 31625
to a decimal.(1 point)
Responses
1.92
1.92
0.64
0.64
12.64
12.64
3.64
3.64
31625 as a decimal is 31.625.
Convert 3 16/25
to a decimal.(1 point)
Responses
1.92
1.92
0.64
0.64
12.64
12.64
3.64
3.64
3 16/25 as a decimal is 3.64.
What is the quotient of −37.44 ÷−0.9?(1 point)
The quotient of -37.44 ÷ -0.9 is 41.6.
What is the quotient of −163.5 ÷ 1.5?(1 point)
The quotient of -163.5 ÷ 1.5 is -109.
What is the quotient of 48.4 ÷−0.8?(1 point)
The quotient of 48.4 ÷ -0.8 is -60.5.
What is the quotient of −58÷−23?(1 point
The quotient of -58 ÷ -23 is 2.5.
What is the quotient of −5/8÷−2/3?(1 point
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The quotient of -5/8 ÷ -2/3 is equal to (-5/8) * (3/-2).
When multiplying fractions, we multiply the numerators and the denominators separately.
(-5 * 3) / (8 * -2) = -15 / -16.
Simplifying the resulting fraction, we get:
-15 / -16 = 15/16.
So, the quotient of -5/8 ÷ -2/3 is 15/16.
What is the quotient of −5/9÷1/5? Write the answer as a mixed number.(1 point)
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The quotient of -5/9 ÷ 1/5 is equal to (-5/9) * (5/1).
When multiplying fractions, we multiply the numerators and the denominators separately.
(-5 * 5) / (9 * 1) = -25 / 9.
To write the answer as a mixed number, we divide the numerator by the denominator and write the remainder as a fraction over the denominator.
-25 divided by 9 is -2 with a remainder of 7.
So, the mixed number form of the quotient -25/9 is -2 7/9.
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What is the quotient of−71.24 ÷ 0.4?(1 point)
The quotient of -71.24 ÷ 0.4 is -178.1.
What is the quotient of −18.42 ÷ −1.2?(1 point)
Responses
−15.35
negative 15.35
153.5
153.5
1,535
1,535
15.35
The quotient of -18.42 ÷ -1.2 is 15.35.
What is the quotient when you divide −1011 by −25?(1 point)
Responses
−2311
negative 2 Start Fraction 3 over 11 End Fraction
2311
2 Start Fraction 3 over 11 End Fraction
411
Start Fraction 4 over 11 End Fraction
234
The quotient when you divide -1011 by -25 is 40.44.
What is the quotient when you divide −10/11 by −2/5?(1 point)
Responses
−2311
negative 2 Start Fraction 3 over 11 End Fraction
23/11
2 Start Fraction 3 over 11 End Fraction
4 1/1
Start Fraction 4 over 11 End Fraction
2 3/4
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The quotient of -10/11 ÷ -2/5 is equal to (-10/11) * (5/-2).
When multiplying fractions, we multiply the numerators and the denominators separately.
(-10 * 5) / (11 * -2) = -50 / -22.
Simplifying the resulting fraction by dividing both the numerator and denominator by the greatest common divisor, which is 2, we get:
(-50 / -22) ÷ 2 = 25 / 11.
So, the quotient of -10/11 ÷ -2/5 is 25/11.
Simplify 25/11
To simplify 25/11, we can look for the greatest common divisor (GCD) of the numerator and denominator, which is 1 in this case.
Since there is no common factor to divide the numerator and the denominator by, we cannot simplify the fraction further. Therefore, 25/11 is already simplified.
What is the quotient when you divide −3/4 by 3/8?(1 point)
Responses
−3 5/9
negative 3 Start Fraction 5 over 9 End Fraction
2
2
−2
negative 2
−9/32
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
The quotient of -3/4 ÷ 3/8 is equal to (-3/4) * (8/3).
When multiplying fractions, we multiply the numerators and the denominators separately.
(-3 * 8) / (4 * 3) = -24 / 12.
Simplifying the resulting fraction by dividing both the numerator and denominator by the greatest common divisor, which is 12, we get:
(-24 / 12) ÷ 12 = -2/1.
So, the quotient of -3/4 ÷ 3/8 is -2.
What is the quotient when you divide −2 3/5 by 4/5?(1 point)
Responses
To divide mixed numbers, we need to convert them to improper fractions first.
-2 3/5 as an improper fraction is -13/5.
The quotient of -2 3/5 ÷ 4/5 is equal to (-13/5) ÷ (4/5).
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(-13/5) ÷ (4/5) is the same as (-13/5) * (5/4).
When multiplying fractions, we multiply the numerators and the denominators separately.
(-13 * 5) / (5 * 4) = -65 / 20.
Simplifying the resulting fraction by dividing both the numerator and denominator by the greatest common divisor, which is 5, we get:
(-65/20) ÷ 5 = -13/4.
So, the quotient of -2 3/5 ÷ 4/5 is -13/4.
What is the quotient when you divide −2 3/5 by 4/5?(1 point)
Responses
−2 3/4
negative 2 Start Fraction 2 over 25 End Fraction
−3 1/4
3 Start Fraction 1 over 4 End Fraction
−25/52
negative Start Fraction 25 over 52 End Fraction
4/13
To divide mixed numbers, we first convert them to improper fractions.
-2 3/5 as an improper fraction is -13/5.
Then, we divide -13/5 by 4/5.
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
(-13/5) ÷ (4/5) is the same as (-13/5) * (5/4).
When multiplying fractions, we multiply the numerators and the denominators separately.
(-13 * 5) / (5 * 4) = -65/20.
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