When dividing by a negative number, the quotient is also negative. So, 100÷(−10) is equal to -10.
Then we divide -10 by 5 to get a quotient of -2.
Therefore, the quotient of 100÷(−10)÷5 is -2.
What is the quotient of 100÷(−10)÷5 ?
19 answers
What is 4.65 converted to a fraction
To convert 4.65 to a fraction, we need to determine the place value of the decimal part.
The decimal part, 0.65, is in the hundredth place.
To convert this decimal to a fraction, we can write it as a fraction over 100:
0.65 = 65/100
Since 65 and 100 share a common factor of 5, we can simplify the fraction:
65/100 = 13/20
Therefore, 4.65 can be written as the fraction 13/20.
The decimal part, 0.65, is in the hundredth place.
To convert this decimal to a fraction, we can write it as a fraction over 100:
0.65 = 65/100
Since 65 and 100 share a common factor of 5, we can simplify the fraction:
65/100 = 13/20
Therefore, 4.65 can be written as the fraction 13/20.
What is 4.65 converted to a fraction? The answer should be given in simplest form
A: 4/65
B: 4 13/20
C: 4 6/5
D: 4 65/100
A: 4/65
B: 4 13/20
C: 4 6/5
D: 4 65/100
To convert 4.65 to a fraction in simplest form, we start by noting that 4 is the whole number part of the decimal.
Now, we focus on the decimal part, which is 0.65. Since there are two decimal places, we can write it as 65/100.
To simplify this fraction, we can divide the numerator and denominator by 5 to get:
65/100 = (65 ÷ 5) / (100 ÷ 5) = 13/20
So, the correct answer is B: 4 13/20.
Now, we focus on the decimal part, which is 0.65. Since there are two decimal places, we can write it as 65/100.
To simplify this fraction, we can divide the numerator and denominator by 5 to get:
65/100 = (65 ÷ 5) / (100 ÷ 5) = 13/20
So, the correct answer is B: 4 13/20.
use long division to convert 2 7/16 to a decimal
A: 0.4375
B: 2.2857
C: 2.716
D: 2.4375
A: 0.4375
B: 2.2857
C: 2.716
D: 2.4375
To convert 2 7/16 to a decimal using long division, we divide the numerator (23) by the denominator (16).
2. 7
________________
16 | 23.00
We start by dividing 23 by 16. The quotient is 1, so we write 1 above the line.
2. 7
________________
16 | 23.00
- 16
70
Next, we bring down the next digit (0) and divide 70 by 16. The quotient is 4, so we write 4 above the line.
2. 7
________________
16 | 23.00
- 16
70
- 64
6
Finally, we bring down the final digit (0) and divide 6 by 16. The quotient is 0.375, so we add a decimal point and a zero to continue the division.
2. 7
________________
16 | 23.00
- 16
70
- 64
6
__
60
- 48
12
- 0
The final result is 2.4375, so the correct answer is D: 2.4375.
2. 7
________________
16 | 23.00
We start by dividing 23 by 16. The quotient is 1, so we write 1 above the line.
2. 7
________________
16 | 23.00
- 16
70
Next, we bring down the next digit (0) and divide 70 by 16. The quotient is 4, so we write 4 above the line.
2. 7
________________
16 | 23.00
- 16
70
- 64
6
Finally, we bring down the final digit (0) and divide 6 by 16. The quotient is 0.375, so we add a decimal point and a zero to continue the division.
2. 7
________________
16 | 23.00
- 16
70
- 64
6
__
60
- 48
12
- 0
The final result is 2.4375, so the correct answer is D: 2.4375.
use long division to convert 6 7/15 to a decimal
A ~~6.14285
B ~~6.47
C 6.715
D ~~0.46
A ~~6.14285
B ~~6.47
C 6.715
D ~~0.46
To convert 6 7/15 to a decimal using long division, we need to divide the numerator (97) by the denominator (15).
6. 7
______________
15 | 97.00
We start by dividing 97 by 15. The quotient is 6, so we write 6 above the line.
6. 7
______________
15 | 97.00
- 90
7
Next, we bring down the next digit (0) and divide 70 by 15. The quotient is 4, so we write 4 above the line.
6. 7
______________
15 | 97.00
- 90
7
- 60
7
Finally, we bring down the final digit (0) and divide 70 by 15. The quotient is 4.66666667, so we add a decimal point and continue the division.
6. 7
______________
15 | 97.00
- 90
7
- 60
7
__
70
- 60
10
Since the division is not ending, and the remainder is 10, we can place a bar over the repeating part (6.7).
The final result is approximately 6.7, so the correct answer is C: 6.715.
6. 7
______________
15 | 97.00
We start by dividing 97 by 15. The quotient is 6, so we write 6 above the line.
6. 7
______________
15 | 97.00
- 90
7
Next, we bring down the next digit (0) and divide 70 by 15. The quotient is 4, so we write 4 above the line.
6. 7
______________
15 | 97.00
- 90
7
- 60
7
Finally, we bring down the final digit (0) and divide 70 by 15. The quotient is 4.66666667, so we add a decimal point and continue the division.
6. 7
______________
15 | 97.00
- 90
7
- 60
7
__
70
- 60
10
Since the division is not ending, and the remainder is 10, we can place a bar over the repeating part (6.7).
The final result is approximately 6.7, so the correct answer is C: 6.715.
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 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_______ feet/minute.
To find the rate of change in the plane's altitude, we need to 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 flew 4,000 feet lower).
The time it took to make the adjustment is 3.5 minutes.
To find the rate of change, we divide the change in altitude (4,000 feet) by the time (3.5 minutes):
Rate of change = 4,000 feet / 3.5 minutes
Simplifying this division gives:
Rate of change ≈ 1142.86 feet/minute
Therefore, the quotient that best represents the rate of change in the plane's altitude is approximately 1142.86 feet/minute (rounded to the nearest hundredth).
The change in altitude is 4,000 feet (since the pilot flew 4,000 feet lower).
The time it took to make the adjustment is 3.5 minutes.
To find the rate of change, we divide the change in altitude (4,000 feet) by the time (3.5 minutes):
Rate of change = 4,000 feet / 3.5 minutes
Simplifying this division gives:
Rate of change ≈ 1142.86 feet/minute
Therefore, the quotient that best represents the rate of change in the plane's altitude is approximately 1142.86 feet/minute (rounded to the nearest hundredth).
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
A: -15
B: 50
C: 15
D: -50
A: -15
B: 50
C: 15
D: -50
To find the change in the amount of water in one minute, we divide the change in water (250 gallons) by the time (5 minutes):
Change in water per minute = 250 gallons / 5 minutes
Simplifying this division gives:
Change in water per minute = 50 gallons/minute
Therefore, the change in the amount of water in one minute is 50 gallons.
The correct answer is B: 50.
Change in water per minute = 250 gallons / 5 minutes
Simplifying this division gives:
Change in water per minute = 50 gallons/minute
Therefore, the change in the amount of water in one minute is 50 gallons.
The correct answer is B: 50.
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
To find out how long it will take for the fish to reach a depth of -37.8 meters, we need to determine how many times the fish descends by 1.5 meters until it reaches that depth.
First, we calculate the difference between the starting depth (-10.8 meters) and the target depth (-37.8 meters):
-37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
Next, we divide the difference by the rate at which the fish descends:
-27 meters ÷ 1.5 meters = -18
The fish needs to descend 18 times by 1.5 meters to reach a depth of -37.8 meters.
Since the fish descends 1.5 meters every 2 minutes, to find the total time it takes for the fish to reach the target depth, we multiply the number of descents (18) by the time per descent (2 minutes):
18 descents × 2 minutes/descent = 36 minutes
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
This means that after 36 minutes, the fish will be swimming at a depth of -37.8 meters, 37.8 meters below sea level.
First, we calculate the difference between the starting depth (-10.8 meters) and the target depth (-37.8 meters):
-37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
Next, we divide the difference by the rate at which the fish descends:
-27 meters ÷ 1.5 meters = -18
The fish needs to descend 18 times by 1.5 meters to reach a depth of -37.8 meters.
Since the fish descends 1.5 meters every 2 minutes, to find the total time it takes for the fish to reach the target depth, we multiply the number of descents (18) by the time per descent (2 minutes):
18 descents × 2 minutes/descent = 36 minutes
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.
This means that after 36 minutes, the fish will be swimming at a depth of -37.8 meters, 37.8 meters below sea level.
could you make that a short sentence
The fish will take 36 minutes to reach a depth of -37.8 meters below sea level.
Divide −72 by −4 . Then divide the quotient by −9 . What is the final quotient
When dividing a negative number by a negative number, the quotient is positive.
So, −72 ÷ −4 is equal to 18.
Then, dividing 18 by −9 gives a final quotient of -2.
Therefore, the final quotient is -2.
So, −72 ÷ −4 is equal to 18.
Then, dividing 18 by −9 gives a final quotient of -2.
Therefore, the final quotient is -2.