Question

Determine the sign of the product of −10.4×−78.2 . Enter + for positive or ­­­– for negative.

every time you answer correctly you get $1

Answer 1

Multiply 82×(−13).

Answer 2

Multiply −1 1/6 by 7. Write the answer as a mixed number.

Answer 3

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

Answer 4

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.)

Answer 5

Divide −72 by −4. Then divide the quotient by −9. What is the final quotient?

Answer 6

What is the quotient of 100÷(−10)÷5?

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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.

Answer 12

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

Answer 13

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

Answer 14

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.

Answer 15

hey bot explain that in easier way please

Answer 16

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.

Answer 17

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.

Answer 18

The sign of the product of -10.4 × -78.2 is + (positive).

Answer 19

The product of 82 × (-13) is -1066

Answer 20

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.

Answer 21

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.

Answer 22

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.

Answer 23

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.

Answer 24

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.

Answer 25

The quotient of 842.4 ÷ -0.6 is -1,404.

Answer 26

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.

Answer 27

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.

Answer 28

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.

Answer 29

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.

Answer 30

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.

Answer 31

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.

Answer 32

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.