Determine the sign of the product of −10.4×−78.2 . Enter + for positive or – for negative.
35 answers
The sign of the product of −10.4×−78.2 is + for positive.
Multiply 82×(−13).
Multiplying 82 by -13 gives -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, multiplying -7/6 by 7, we get:
(-7/6) * 7 = -49/6
To express the answer as a mixed number, we divide the numerator (-49) by the denominator (6):
-49 ÷ 6 = -8 remainder 1
Thus, the answer is -8 1/6.
-1 1/6 = -6/6 - 1/6 = -7/6
Now, multiplying -7/6 by 7, we get:
(-7/6) * 7 = -49/6
To express the answer as a mixed number, we divide the numerator (-49) by the denominator (6):
-49 ÷ 6 = -8 remainder 1
Thus, the answer is -8 1/6.
Of the cars in a used-car lot, 25 are the color gray. 13 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 divide the number of cars that meet both criteria (13) by the total number of cars on the lot (25).
So, the fraction is 13/25.
So, the fraction is 13/25.
Lake Profondo has a depth of 84 feet. Lake Segundo is 56 as deep. What is the elevation at the bottom of Lake Segundo?
The elevation at the bottom of Lake Segundo would be 56 feet below the surface.
Divide −72 by −4. Then divide the quotient by −9. What is the final quotient?
When we divide −72 by −4, we get a quotient of 18.
18 ÷ −9 is equal to -2.
Thus, the final quotient is -2.
18 ÷ −9 is equal to -2.
Thus, the final quotient is -2.
What is the quotient of 100÷(−10)÷5?(1 point)
Responses
2
2
−50
negative 50
−2
negative 2
−200
Responses
2
2
−50
negative 50
−2
negative 2
−200
The quotient of 100 ÷ (−10) ÷ 5 is -2.
What is the quotient of 842.4 ÷ −0.6?(1 point)
Responses
−140.4
negative 140.4
−1,404
negative 1,404
−14.04
negative 14.04
1,404
Responses
−140.4
negative 140.4
−1,404
negative 1,404
−14.04
negative 14.04
1,404
The quotient of 842.4 ÷ −0.6 is -1404.
What is 4.65 converted to a fraction? The answer should be given in simplest form.(1 point)
Responses
4.65
Start Fraction 4 over 65 End Fraction
4 6/5
4 Start Fraction 6 over 5 End Fraction
4 65/100
4 Start Fraction 65 over 100 End Fraction
4 13/20
Responses
4.65
Start Fraction 4 over 65 End Fraction
4 6/5
4 Start Fraction 6 over 5 End Fraction
4 65/100
4 Start Fraction 65 over 100 End Fraction
4 13/20
To convert 4.65 to a fraction, we can write it as 4 + 0.65.
Since 0.65 is equivalent to 65/100, we have:
4 + 65/100 = 4 65/100.
Simplifying the fraction 65/100 gives us 13/20.
Therefore, 4.65 is equal to 4 13/20 in simplest form.
Since 0.65 is equivalent to 65/100, we have:
4 + 65/100 = 4 65/100.
Simplifying the fraction 65/100 gives us 13/20.
Therefore, 4.65 is equal to 4 13/20 in simplest form.
Use long division to convert 2 7/16 to a decimal.(1 point)
Responses
0.4375
0.4375
2.716
2.716
2.2857
2.2857
2.4375
Responses
0.4375
0.4375
2.716
2.716
2.2857
2.2857
2.4375
To convert 2 7/16 to a decimal using long division, we divide 7 by 16:
```
0.4375
--------------
16 | 7.0000
- 0
-----
70
- 64
-----
60
- 48
-----
120
- 112
-----
80
- 80
-----
0
```
The decimal answer is 0.4375.
Therefore, 2 7/16 is equal to 2.4375 as a decimal.
```
0.4375
--------------
16 | 7.0000
- 0
-----
70
- 64
-----
60
- 48
-----
120
- 112
-----
80
- 80
-----
0
```
The decimal answer is 0.4375.
Therefore, 2 7/16 is equal to 2.4375 as a decimal.
Use long division to convert 6 7/15 to a decimal.(1 point)
Responses
≈6.14285
approximately equals 6.14285
6.715
6.715
≈0.46
approximately equals 0.46
≈6.47
Responses
≈6.14285
approximately equals 6.14285
6.715
6.715
≈0.46
approximately equals 0.46
≈6.47
To convert 6 7/15 to a decimal using long division, we divide 7 by 15:
```
0.46666...
_______________
15 | 7.00000
60
_______
40
30
_____
100
90
_____
10
```
The decimal answer is approximately 0.46666..., which can be rounded to 0.47.
Therefore, 6 7/15 is approximately equal to 6.47 as a decimal.
```
0.46666...
_______________
15 | 7.00000
60
_______
40
30
_____
100
90
_____
10
```
The decimal answer is approximately 0.46666..., which can be rounded to 0.47.
Therefore, 6 7/15 is approximately equal to 6.47 as a decimal.
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 the adjustment (3.5 minutes).
Rate of change in altitude = Change in altitude / Time
Rate of change in altitude = 4,000 feet / 3.5 minutes
Calculating this quotient, we get approximately 1142.86 feet/minute.
Rounded to the nearest hundredth, the rate of change in the plane's altitude is 1142.86 feet/minute.
Rate of change in altitude = Change in altitude / Time
Rate of change in altitude = 4,000 feet / 3.5 minutes
Calculating this quotient, we get approximately 1142.86 feet/minute.
Rounded to the nearest hundredth, 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
−50
negative 50
15
15
50
50
−15
Responses
−50
negative 50
15
15
50
50
−15
To find the change in the amount of water in 1 minute, we divide the amount of water removed (250 gallons) by the time it took to remove it (5 minutes):
Change in water in 1 minute = Amount of water removed / Time
Change in water in 1 minute = 250 gallons / 5 minutes
Calculating this quotient, we get 50 gallons.
Therefore, the change in the amount of water in 1 minute is 50 gallons.
Change in water in 1 minute = Amount of water removed / Time
Change in water in 1 minute = 250 gallons / 5 minutes
Calculating this quotient, we get 50 gallons.
Therefore, the change in the amount of water 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
−147/75
negative Start Fraction 147 over 75 End Fraction
9
9
−9
negative 9
147/75
(−4)×(75)×(−34)÷(715)
(1 point)
Responses
−147/75
negative Start Fraction 147 over 75 End Fraction
9
9
−9
negative 9
147/75
To solve the expression (-4) × (75) × (-34) ÷ (715), we perform the multiplication first, then the division:
(-4) × (75) × (-34) ÷ (715) = (-4) × (-2550) ÷ (715) = 10200 ÷ 715
Evaluating the division, we get:
10200 ÷ 715 ≈ 14.265
Therefore, the result of the expression is approximately 14.265.
(-4) × (75) × (-34) ÷ (715) = (-4) × (-2550) ÷ (715) = 10200 ÷ 715
Evaluating the division, we get:
10200 ÷ 715 ≈ 14.265
Therefore, the result of the expression is approximately 14.265.
that is not one of the answers
Apologies for the mistake. Let's re-evaluate the expression.
(-4) × (75) × (-34) ÷ (715)
First, we simplify the multiplication:
(-4) × (75) × (-34) = 10200
Then, we divide the result by 715:
10200 ÷ 715 ≈ 14.265
Therefore, the correct answer is approximately 14.265.
(-4) × (75) × (-34) ÷ (715)
First, we simplify the multiplication:
(-4) × (75) × (-34) = 10200
Then, we divide the result by 715:
10200 ÷ 715 ≈ 14.265
Therefore, the correct answer is approximately 14.265.
se the properties of operations and rules for multiplying and dividing signed numbers to solve:
(−4)×(7/5)×(−3/4)÷(7/15)
(−4)×(7/5)×(−3/4)÷(7/15)
To solve the expression (-4) × (7/5) × (-3/4) ÷ (7/15), we apply the rules for multiplying and dividing signed numbers.
First, we simplify the multiplication:
(-4) × (7/5) × (-3/4) = (4/1) × (7/5) × (3/4) = (4 × 7 × 3) / (1 × 5 × 4) = 84/20
Next, we simplify the division:
(84/20) ÷ (7/15) = (84/20) × (15/7) = (84 × 15) / (20 × 7) = 1260/140
Simplifying the fraction, we have:
1260/140 = 9
Therefore, the result of the expression is 9.
First, we simplify the multiplication:
(-4) × (7/5) × (-3/4) = (4/1) × (7/5) × (3/4) = (4 × 7 × 3) / (1 × 5 × 4) = 84/20
Next, we simplify the division:
(84/20) ÷ (7/15) = (84/20) × (15/7) = (84 × 15) / (20 × 7) = 1260/140
Simplifying the fraction, we have:
1260/140 = 9
Therefore, the result of the expression is 9.
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 problem, we need to determine the time it will take for the fish to go from a depth of -10.8 meters to a depth of -37.8 meters, descending 1.5 meters every 2 minutes.
First, we calculate the difference in depth: -37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters.
Next, we divide the difference in depth by the rate at which the fish descends: -27 meters ÷ 1.5 meters/2 minutes = -27 meters × 2/1.5 meters/minute
Simplifying the expression, we have: -27 meters × 2/1.5 meters/minute = -36 minutes
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.
This means that after 36 minutes, the fish will have descended to a depth of -37.8 meters, or 37.8 meters below sea level.
First, we calculate the difference in depth: -37.8 meters - (-10.8 meters) = -37.8 meters + 10.8 meters = -27 meters.
Next, we divide the difference in depth by the rate at which the fish descends: -27 meters ÷ 1.5 meters/2 minutes = -27 meters × 2/1.5 meters/minute
Simplifying the expression, we have: -27 meters × 2/1.5 meters/minute = -36 minutes
Therefore, it will take the fish approximately 36 minutes to reach a depth of -37.8 meters.
This means that after 36 minutes, the fish will have descended to a depth of -37.8 meters, or 37.8 meters below sea level.
Put all the answers pls!!!
Determine the sign of the product of -10.4 x -78.2 Enter + for positive or - for negative.