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 −10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is negative 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 negative 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.
37 answers
Responses
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 negative 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 negative 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.
Responses
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −3.47 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 3.47 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is negative 0.49 meters/second.
The quotient that describes the average rate of change for the diver’s depth is −0.99 meters/second
Responses
$333.33
$333.33
−0.003
negative 0.003
−$333.33
negative 333.33 dollars
0.003
0.003
$4000 ÷ 12 = $333.33
Therefore, the value decreases by $333.33 per month.
Responses
−0.4 ounces
negative 0.4 ounces
−4 ounces
negative 4 ounces
0.4 ounces
0.4 ounces
4 ounces
24 ounces ÷ 6 = 4 ounces
Therefore, the amount of water in the canteen should change by 4 ounces every 10 minutes.
(9)÷(5/4)×(7/9)×(−5)÷(7/2)
(1 point)
Responses
−8
negative 8
8
8
1,225/8
Start Fraction 1,225 over 8 End Fraction
−1,225/8
First, we can simplify the division of fractions:
(9) ÷ (5/4) = 9 * (4/5) = 36/5
Next, we can multiply the remaining fractions:
36/5 * (7/9) = (36 * 7) / (5 * 9) = 252/45
Finally, we can divide by another fraction:
252/45 * (-5)/(7/2) = (252/45) * (-5) * (2/7) = (252 * (-5) * 2) / (45 * 7) = -2520/315 = -8
Therefore, the value of the expression is -8.
Responses
1/8 mile
Start Fraction 1 over 8 End Fraction mile
2 1/2 miles
2 Start Fraction 1 over 2 End Fraction miles
160 miles
160 miles
1 1/0 mile
(1/4 mile) / (8 minutes) = x / 16 minutes
Cross-multiplying, we get:
(1/4) * 16 = 8 * x
4 = 8x
Dividing both sides by 8, we find:
x = 1/2 mile
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
The runner completes 1/4 of a 5-mile race every 8 minutes. To find out how far the runner can go in 16 minutes at the same pace, we can set up a proportion:
(1/4 mile) / (8 minutes) = x / 16 minutes
Cross-multiplying, we get:
8 * x = (1/4) * 16
8x = 4
x = 4/8
x = 1/2
Therefore, the runner can go 1/2 mile in 16 minutes at the same pace.
The runner completes 1/4 of a 5-mile race every 8 minutes. To find out how far the runner can go in 16 minutes at the same pace, we need to determine how many fractions of the race the runner completes in 16 minutes.
In 8 minutes, the runner completes 1/4 of the race. Therefore, in 16 minutes, the runner would complete 2 times the fraction of the race.
2 * 1/4 = 1/2
Thus, the runner can go 1/2 mile in 16 minutes at the same pace.
Therefore, the correct answer is:
1/2 mile
Start Fraction 1 over 2 End Fraction miles
2 * 1/4 = 2/4 = 1/2
Since the total race is 5 miles and the runner completes 1/2 of the race in 16 minutes, the distance the runner can go in 16 minutes is:
5 miles * 1/2 = 2 1/2 miles
Therefore, the correct answer is:
2 1/2 miles
Responses
480 gallons
480 gallons
80 gallons
80 gallons
−80 gallons
negative 80 gallons
−480 gallons
The tank decreases by 10 gallons every 3 hours. There are 24 hours in a day, so there are 8 sets of 3 hours in a day (24 / 3 = 8).
Therefore, the tank loses 10 gallons * 8 sets = 80 gallons every day.
Multiplying this loss by the number of days (6), we get the total change in the amount of water in the tank:
80 gallons * 6 days = 480 gallons
Therefore, the correct answer is:
480 gallons
Responses
1/3×150÷4
Start Fraction 1 over 3 End Fraction times 150 divided by 4
1/3×150×4
Start Fraction 1 over 3 End Fraction times 150 times 4
1/3×150÷1/4
Start Fraction 1 over 3 End Fraction times 150 divided by Start Fraction 1 over 4 End Fraction
1/3÷150÷4
Therefore, the correct set of calculations would be:
1/3 × 150 ÷ 4.
(−3)÷(3/4)×(2/7)×(−5/16)÷(5/7)
(1 point)
First, we can simplify the division of fractions:
(−3) ÷ (3/4) = −3 * (4/3) = −12/3 = -4
Next, we can multiply the remaining fractions:
-4 * (2/7) * (-5/16) * (5/7) = (-4 * 2 * (-5) * 5) / (7 * 16 * 7) = 200 / 784
Finally, let's simplify the fraction:
200 / 784 = 25 / 98
Therefore, the value of the expression is 25/98.
To solve the given expression:
First, we can simplify the division of fractions:
(−3) ÷ (3/4) = −3 * (4/3) = -12/3 = -4
Next, we can multiply the remaining fractions:
-4 * (2/7) * (-5/16) * (5/7) = (-4 * 2 * (-5) * 5) / (7 * 16 * 7) = 400 / (7840) = 1/19.6
Therefore, the value of the expression is 1/19.6.
1/2 * 1/5 * 10
First, let's simplify the fractions:
1/2 * 1/5 = 1/10
Now, we can multiply the fractions and the whole number:
1/10 * 10 = 1
Therefore, there is 1 ounce in 1/2 of 1/5 of a 10-ounce block of cheese.
The group of 9 people won 1/5 of a $4,500 prize. To find the amount each person won, we can calculate:
(1/5) * $4,500 = $900
Therefore, each person in the group won $900.
To find out how much money each person in the group won, we need to divide the total prize by the number of people in the group.
The group of 9 people won 1/5 of a $4,500 prize. To find the amount each person won, we can calculate:
(1/5) * $4,500 = $900
Since there are 9 people in the group, we can divide the total prize evenly among them:
$900 / 9 = $100
Therefore, each person in the group won $100.
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Which letter represents the country with Europe's largest economy?
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Population is concentrated on the coast and in river valleys.
Most people live in southern Europe.
Population is concentrated in the mountainous central region.
Most people live in northern Europe.
"Population is concentrated on the coast and in river valleys."