Determine the sign of the product of −10.4×−78.2 . Enter + for positive or – for negative.
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32 answers
The sign of the product of -10.4 × -78.2 is + (positive).
Multiply 82×(−13).
The product of 82 × (-13) is -1066
Multiply −1 1/6 by 7. Write the answer as a mixed number.
To multiply -1 1/6 by 7, we first need to convert -1 1/6 to an improper fraction.
-1 1/6 = -6/6 + 1/6 = -7/6
Now, we can multiply -7/6 by 7:
-7/6 × 7 = -49/6
To write this answer as a mixed number, we divide the numerator (-49) by the denominator (6) and write the remainder as a fraction:
-49 ÷ 6 = -8 remainder 1
Therefore, the answer is -8 1/6.
-1 1/6 = -6/6 + 1/6 = -7/6
Now, we can multiply -7/6 by 7:
-7/6 × 7 = -49/6
To write this answer as a mixed number, we divide the numerator (-49) by the denominator (6) and write the remainder as a fraction:
-49 ÷ 6 = -8 remainder 1
Therefore, the answer is -8 1/6.
Of the cars in a used-car lot, 2/5 are the color gray. 1/3 of the gray cars are electrically powered vehicles. What fraction of the cars on the lot are both gray and electrically powered? Leave your answer in simplified fraction form
To find the fraction of cars on the lot that are both gray and electrically powered, we need to multiply the fractions representing the proportion of gray cars and the proportion of electrically powered gray cars.
Fraction of gray cars: 2/5
Fraction of electrically powered gray cars: 1/3
To find the fraction of cars that are both gray and electrically powered, we multiply (2/5) × (1/3):
(2/5) × (1/3) = 2/15
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.
Fraction of gray cars: 2/5
Fraction of electrically powered gray cars: 1/3
To find the fraction of cars that are both gray and electrically powered, we multiply (2/5) × (1/3):
(2/5) × (1/3) = 2/15
Therefore, the fraction of cars on the lot that are both gray and electrically powered is 2/15.
Lake Profondo has a depth of 84 feet. Lake Segundo is 5/6 as deep. What is the elevation at the bottom of Lake Segundo? (Remember, the elevation is below sea level. Account for this in your answer.)
If Lake Profondo has a depth of 84 feet, and Lake Segundo is 5/6 as deep, we can calculate the depth of Lake Segundo as follows:
Depth of Lake Segundo = (5/6) * 84 = 70 feet
Since the elevation at the bottom of Lake Segundo is below sea level, we can state that the elevation at the bottom of Lake Segundo is -70 feet.
Depth of Lake Segundo = (5/6) * 84 = 70 feet
Since the elevation at the bottom of Lake Segundo is below sea level, we can state that the elevation at the bottom of Lake Segundo is -70 feet.
Divide −72 by −4. Then divide the quotient by −9. What is the final quotient?
To divide -72 by -4, the quotient is 18.
Next, we divide the quotient of 18 by -9. The final quotient is -2.
Therefore, the final quotient is -2.
Next, we divide the quotient of 18 by -9. The final quotient is -2.
Therefore, the final quotient is -2.
What is the quotient of 100÷(−10)÷5?
To calculate the quotient of 100 ÷ (-10) ÷ 5, we follow the order of operations:
First, we divide 100 ÷ (-10), which gives us -10.
Then, we divide -10 ÷ 5, which gives us -2.
Therefore, the quotient of 100 ÷ (-10) ÷ 5 is -2.
First, we divide 100 ÷ (-10), which gives us -10.
Then, we divide -10 ÷ 5, which gives us -2.
Therefore, the quotient of 100 ÷ (-10) ÷ 5 is -2.
What is the quotient of 842.4 ÷ −0.6?(1 point)
Responses
1,404
1,404
−14.04
negative 14.04
−1,404
negative 1,404
−140.4
Responses
1,404
1,404
−14.04
negative 14.04
−1,404
negative 1,404
−140.4
The quotient of 842.4 ÷ -0.6 is -1,404.
What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
41320
4 Start Fraction 13 over 20 End Fraction
465
4 Start Fraction 6 over 5 End Fraction
465
Start Fraction 4 over 65 End Fraction
465100
4 Start Fraction 65 over 100 End Fraction
Responses
41320
4 Start Fraction 13 over 20 End Fraction
465
4 Start Fraction 6 over 5 End Fraction
465
Start Fraction 4 over 65 End Fraction
465100
4 Start Fraction 65 over 100 End Fraction
To convert 4.65 to a fraction, we can observe that the decimal part, 0.65, can be expressed as a fraction by using the decimal place value. Since there are two decimal places in 0.65, the fraction will have a denominator of 100.
0.65 can be written as 65/100.
Now, we can combine the whole number 4 and the fraction 65/100 to get:
4 + 65/100 = 400/100 + 65/100 = (400 + 65)/100 = 465/100.
Therefore, 4.65 as a fraction in simplest form is 465/100.
0.65 can be written as 65/100.
Now, we can combine the whole number 4 and the fraction 65/100 to get:
4 + 65/100 = 400/100 + 65/100 = (400 + 65)/100 = 465/100.
Therefore, 4.65 as a fraction in simplest form is 465/100.
Use long division to convert 2 7/16 to a decimal.
2.716
2.716
0.4375
0.4375
2.2857
2.2857
2.4375
2.716
2.716
0.4375
0.4375
2.2857
2.2857
2.4375
To convert 2 7/16 to a decimal using long division, we follow these steps:
1. Convert the whole number and fraction to an improper fraction.
2 7/16 can be written as 35/16.
2. Perform long division: Divide 35 by 16.
```
2._________________
16 | 35
-32
-----
3
```
3. Bring down the 0 and continue the division process:
```
2.__________
16 | 35.00
- 32
-----
3 00
32
-----
18
```
4. Since the 18 can be divided by 16, we continue the division:
```
2.______________
16 | 35.0000
- 32
-----
3 00
32
-----
18 00
16
-----
20
```
5. We can bring down another 0 and continue dividing:
```
2.______________
16 | 35.0000
- 32
-----
3 00
32
-----
18 00
16
-----
20 00
16
-----
40
```
6. We can bring down the last 0 and continue dividing:
```
2.______________
16 | 35.0000
- 32
-----
3 00
32
-----
18 00
16
-----
20 00
16
-----
40 00
32
-----
8
```
7. The remainder is 8. Since we reached the end of the decimal places, we can stop the division.
Therefore, 2 7/16 as a decimal using long division is 2.4375.
1. Convert the whole number and fraction to an improper fraction.
2 7/16 can be written as 35/16.
2. Perform long division: Divide 35 by 16.
```
2._________________
16 | 35
-32
-----
3
```
3. Bring down the 0 and continue the division process:
```
2.__________
16 | 35.00
- 32
-----
3 00
32
-----
18
```
4. Since the 18 can be divided by 16, we continue the division:
```
2.______________
16 | 35.0000
- 32
-----
3 00
32
-----
18 00
16
-----
20
```
5. We can bring down another 0 and continue dividing:
```
2.______________
16 | 35.0000
- 32
-----
3 00
32
-----
18 00
16
-----
20 00
16
-----
40
```
6. We can bring down the last 0 and continue dividing:
```
2.______________
16 | 35.0000
- 32
-----
3 00
32
-----
18 00
16
-----
20 00
16
-----
40 00
32
-----
8
```
7. The remainder is 8. Since we reached the end of the decimal places, we can stop the division.
Therefore, 2 7/16 as a decimal using long division is 2.4375.
Use long division to convert 6715 to a decimal.(1 point)
Responses
≈0.46
approximately equals 0.46
≈6.47
approximately equals 6.47
6.715
6.715
≈6.14285
Responses
≈0.46
approximately equals 0.46
≈6.47
approximately equals 6.47
6.715
6.715
≈6.14285
To convert 6715 to a decimal using long division, we follow these steps:
1. Start by dividing 6715 by 1. This is the first decimal place in the answer.
```
0._________________
1 | 6715
```
2. The quotient is 6715, so the first decimal place is 1.
```
0.1_________________
1 | 6715
- 1
-----
6
```
3. Bring down the next digit, which is 7, and continue the division.
```
0.1_________________
1 | 6715
- 1
-----
6 7
6
-----
10
```
4. Bring down the next digit, which is 1.
```
0.10_________________
1 | 6715
- 1
-----
6 7 1
6
-----
10 0
1
-----
0
```
5. Since there is no remainder and we have reached the end of the number, the division is completed.
Therefore, 6715 as a decimal using long division is 6.715.
1. Start by dividing 6715 by 1. This is the first decimal place in the answer.
```
0._________________
1 | 6715
```
2. The quotient is 6715, so the first decimal place is 1.
```
0.1_________________
1 | 6715
- 1
-----
6
```
3. Bring down the next digit, which is 7, and continue the division.
```
0.1_________________
1 | 6715
- 1
-----
6 7
6
-----
10
```
4. Bring down the next digit, which is 1.
```
0.10_________________
1 | 6715
- 1
-----
6 7 1
6
-----
10 0
1
-----
0
```
5. Since there is no remainder and we have reached the end of the number, the division is completed.
Therefore, 6715 as a decimal using long division is 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.(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 ____
feet/minute.
To find the rate of change in the plane's altitude, we divide the change in altitude (4,000 feet) by the time it takes to make this adjustment (3.5 minutes).
Rate of change = Change in altitude / Time taken
Rate of change = 4000 feet / 3.5 minutes
Rate of change ≈ 1142.86 feet/minute (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the plane's altitude is approximately 1142.86 feet/minute.
Rate of change = Change in altitude / Time taken
Rate of change = 4000 feet / 3.5 minutes
Rate of change ≈ 1142.86 feet/minute (rounded to the nearest hundredth)
Therefore, the quotient that best represents the rate of change in the plane's altitude is approximately 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
15
50
50
−50
negative 50
−15
Responses
15
15
50
50
−50
negative 50
−15
To find the change in the amount of water in gallons per minute, we divide the change in water (250 gallons) by the time taken (5 minutes).
Change in water per minute = Change in water / Time taken
Change in water per minute = 250 gallons / 5 minutes
Change in water per minute = 50 gallons/minute
Therefore, the change in the amount of water in gallons per minute is 50 gallons.
Change in water per minute = Change in water / Time taken
Change in water per minute = 250 gallons / 5 minutes
Change in water per minute = 50 gallons/minute
Therefore, the change in the amount of water in gallons per 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
−9
negative 9
9
9
−14775
negative Start Fraction 147 over 75 End Fraction
14775
(−4)×(75)×(−34)÷(715)
(1 point)
Responses
−9
negative 9
9
9
−14775
negative Start Fraction 147 over 75 End Fraction
14775
To solve (-4) × (75) × (-34) ÷ (715), we follow the order of operations, which states that we should perform the multiplication and division operations before addition and subtraction.
First, we multiply -4 and 75:
(-4) × (75) = -300.
Then, we multiply -300 by -34:
(-300) × (-34) = 10200.
Finally, we divide 10200 by 715:
10200 ÷ 715 ≈ 14.238.
Therefore, the solution to (-4) × (75) × (-34) ÷ (715) is approximately 14.238.
First, we multiply -4 and 75:
(-4) × (75) = -300.
Then, we multiply -300 by -34:
(-300) × (-34) = 10200.
Finally, we divide 10200 by 715:
10200 ÷ 715 ≈ 14.238.
Therefore, the solution to (-4) × (75) × (-34) ÷ (715) is approximately 14.238.
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 calculate the number of 1.5 meter descents it will take for the fish to reach that depth.
Given that the fish descends 1.5 meters every 2 minutes, we can calculate the number of descents needed:
Depth difference = (-37.8 meters) - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
Number of descents = Depth difference / Descent rate = -27 meters / 1.5 meters = -18.
Since each descent takes 2 minutes, to reach a depth of -37.8 meters, it will take the fish 18 * 2 = 36 minutes.
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters. This means that after swimming for 36 minutes, the fish will be 37.8 meters below sea level.
Given that the fish descends 1.5 meters every 2 minutes, we can calculate the number of descents needed:
Depth difference = (-37.8 meters) - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters
Number of descents = Depth difference / Descent rate = -27 meters / 1.5 meters = -18.
Since each descent takes 2 minutes, to reach a depth of -37.8 meters, it will take the fish 18 * 2 = 36 minutes.
Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters. This means that after swimming for 36 minutes, the fish will be 37.8 meters below sea level.
hey bot explain that in easier way please
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.
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.
1 answer