Question

can u explain how - 10.4 x -78.2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To multiply two numbers, you just need to multiply the two values together. In this case, you are multiplying -10.4 by -78.2.

When you multiply two negative numbers, the result is positive. So, (-10.4) multiplied by (-78.2) will give you a positive value.

To multiply the absolute values, ignore the negative signs: 10.4 multiplied by 78.2.

Then, multiply the numbers:

10.4 × 78.2 = 813.28

Since the original numbers were both negative, the final answer will be positive. Therefore, -10.4 × -78.2 = 813.28.

Answer 2

can u explain how multiply 82x (-13)

Answer 3

[AI-generated answer — Bot GPT 3.5]

To multiply two numbers, you simply multiply their values together. In this case, you are multiplying 82 by -13.

When you multiply a positive number by a negative number, the result is always negative. So, when you multiply 82 by -13, the product will be negative.

To multiply the absolute values, ignore the signs: 82 multiplied by 13.

Then, multiply the numbers:

82 × 13 = 1,066.

Since the original numbers have opposite signs, the final answer will be negative. Therefore, 82 multiplied by -13 equals -1,066.

Answer 4

can u explain how multiplym-1 1/6 by 7. wrinte the answer as a mixed number.

Answer 5

[AI-generated answer — Bot GPT 3.5]

To multiply a mixed number by a whole number, you first need to convert the mixed number to an improper fraction. Here, we have -1 1/6 multiplied by 7.

To convert -1 1/6 to an improper fraction, you need to multiply the whole number (-1) by the denominator of the fraction (6), and then add the numerator (1). This gives us -7/6.

Now, we can multiply -7/6 by 7:

-7/6 × 7 = -49/6.

To write the answer as a mixed number, we need to convert the improper fraction back to a mixed number.

To do this, divide the numerator (-49) by the denominator (6). The quotient is the whole number part, and the remainder becomes the numerator of the fraction:

-49 ÷ 6 = -8 remainder 1.

The whole number part is -8, and the remainder 1 becomes the numerator of the fraction. The denominator remains 6.

Therefore, the answer as a mixed number is -8 1/6.

Answer 6

can u explain how 2/5 1/3 in a simplified fraction form.

Answer 7

[AI-generated answer — Bot GPT 3.5]

To simplify the fraction 2/5 multiplied by 1/3, you need to multiply the numerators together and the denominators together.

The numerator would be 2 multiplied by 1, which equals 2.

The denominator would be 5 multiplied by 3, which equals 15.

Therefore, 2/5 multiplied by 1/3 simplifies to 2/15.

Answer 8

can u explain how 84 5/6

Answer 9

[AI-generated answer — Bot GPT 3.5]

To express 84 5/6 as an improper fraction, you need to convert the mixed number into an improper fraction.

To do this, you multiply the whole number (84) by the denominator of the fractional part (6), and then add the numerator (5) to get the new numerator. The denominator remains the same.

84 * 6 = 504

504 + 5 = 509

So, 84 5/6 can be written as the improper fraction 509/6.

Answer 10

can u explain how -72 by -4 -9

Answer 11

[AI-generated answer — Bot GPT 3.5]

To divide numbers, you perform the division operation. In this case, you are dividing -72 by -4 and then dividing the result by -9.

When you divide two negative numbers, the result is always positive. So, (-72) ÷ (-4) ÷ (-9) equals a positive value.

To divide -72 by -4, you simply perform the division operation:

-72 ÷ -4 = 18

Now, you can divide the result (18) by -9:

18 ÷ -9 = -2

Therefore, -72 ÷ -4 ÷ -9 equals -2.

Answer 12

can u explain how 100divided (-10) divided 5?

Answer 13

[AI-generated answer — Bot GPT 3.5]

To divide numbers, you perform the division operation. In this case, you are dividing 100 by -10 and then dividing the result by 5.

When you divide a positive number by a negative number, the result is always negative. So, 100 ÷ (-10) ÷ 5 equals a negative value.

To divide 100 by -10, you simply perform the division operation:

100 ÷ (-10) = -10

Now, you can divide the result (-10) by 5:

-10 ÷ 5 = -2

Therefore, 100 ÷ (-10) ÷ 5 equals -2.

Answer 14

can u explain how 842.4 dived - 0.6

Answer 15

[AI-generated answer — Bot GPT 3.5]

To divide numbers, you perform the division operation. In this case, you are dividing 842.4 by -0.6.

Dividing a positive number by a negative number (or vice versa) gives a negative result.

When dividing decimals, it is common to move the decimal point of the divisor to the right until it becomes a whole number. Simultaneously, move the decimal point of the dividend by the same number of places.

So, -0.6 can be written as -6/10 or -60/100.

Now, divide 842.4 by -60/100 (or -0.6):

842.4 ÷ -0.6 = -1404

Therefore, 842.4 divided by -0.6 equals -1404.

Answer 16

can u explain how what is 4.65 converted to a fraction?

Answer 17

[AI-generated answer — Bot GPT 3.5]

To convert a decimal to a fraction, you can make use of its place value.

In this case, the decimal number is 4.65. The whole number part is 4, and the decimal part is 0.65.

To convert the decimal part to a fraction, we count the number of decimal places, which is two (since there are two digits after the decimal point).

The decimal part, 0.65, can be written as 65/100.

Now, we can combine the whole number part with the fraction:

4 + 65/100 = 4 65/100.

To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor, which is 5.

Dividing 65 by 5 gives us 13, and dividing 100 by 5 gives us 20.

So, the simplified form of 4.65 as a fraction is 4 13/20.

Answer 18

can u explain how use long division to convert 2 7/16 to a decimal.

Answer 19

[AI-generated answer — Bot GPT 3.5]

To convert 2 7/16 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction. Multiply the whole number (2) by the denominator (16) and then add the numerator (7). Write this sum over the denominator.

2 * 16 + 7 = 39

So, 2 7/16 can be rewritten as the improper fraction 39/16.

Step 2: Perform long division by dividing 39 by 16.

Note: When performing long division, it's helpful to remember that the decimal point goes above the vinculum (the horizontal line) and that we append zeros if necessary.

2.4375 <-- Quotient (decimal)
-------------
16 | 39.0000
32
-----
70
64
-----
60
48
-----
120
112
-----
80

The remainder is zero, which means the process is complete.

Step 3: The quotient obtained from long division is 2.4375.

Therefore, 2 7/16 as a decimal is approximately equal to 2.4375.

Answer 20

can u explain how use long division to convert 6 7/15 to a decimal.

Answer 21

[AI-generated answer — Bot GPT 3.5]

To convert 6 7/15 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction. Multiply the whole number (6) by the denominator (15) and then add the numerator (7). Write this sum over the denominator.

6 * 15 + 7 = 97

So, 6 7/15 can be rewritten as the improper fraction 97/15.

Step 2: Perform long division by dividing 97 by 15.

Note: When performing long division, it's helpful to remember that the decimal point goes above the vinculum (the horizontal line) and that we append zeros if necessary.

6.4666666... <-- Quotient (decimal)
----------------
15 | 97.0000
90
-----
70
60
-----
100
90
-----
100
90
-----
100
90
-----
100
90
-----
100
90
-----
100

The remainder is consistently 10, without end. This means that the division will continue indefinitely without repeating a pattern. In this case, the decimal portion of the number is a recurring decimal 0.4666666... and we can denote it as 0.4¯6.

Step 3: The quotient obtained from long division is 6.4¯6.

Therefore, 6 7/15 as a decimal is approximately equal to 6.4¯6 or 6.46666...

Answer 22

can u explain how use long division to convert 6 7/15 to a decimal.

=6.14286
=6.47
=0.46
=6.715

Answer 23

[AI-generated answer — Bot GPT 3.5]

Apologies for the previous incorrect response. To convert 6 7/15 to a decimal using long division, follow these steps:

Step 1: Rewrite the mixed number as an improper fraction. Multiply the whole number (6) by the denominator (15) and then add the numerator (7). Write this sum over the denominator.

6 * 15 + 7 = 97

So, 6 7/15 can be rewritten as the improper fraction 97/15.

Step 2: Perform long division by dividing 97 by 15.

Note: When performing long division, it's helpful to remember that the decimal point goes above the vinculum (the horizontal line) and that we append zeros if necessary.

6.4 <-- Quotient (decimal)
----------------
15 | 97.000
90
-----
70
60
-----
100
90
-----
100
90
-----
100
90
-----
100
90
-----
10

The remainder is 10. However, since we cannot continue dividing without a decimal part, we append a zero and continue.

Step 3: Bring down the next digit (zero) from the dividend.

6.46 <-- Quotient (decimal)
----------------
15 | 97.000
90
-----
70
60
-----
100
90
-----
100
90
-----
100
90
-----
100
90
-----
100
90
-----
10

We bring down the zero and continue dividing.

Step 4: Divide 100 by 15.

6.466 <-- Quotient (decimal)
----------------
15 | 97.000
90
-----
70
60
-----
100
90
-----
100
90
-----
100
90
-----
100
90
-----
100
90
-----
10
0
-----
100
90
-----
100
90
-----
10
0

The remainder is 10. The division will continue indefinitely without repeating a pattern. Therefore, we can recognize that the decimal portion is a recurring decimal 0.4666666... and can denote it as 0.4¯6.

Step 5: The quotient obtained from long division is 6.4¯6.

Thus, 6 7/15 as a decimal is approximately equal to 6.4¯6 or 6.4666666...

Answer 24

can u explain how 4,000 3.5

Answer 25

[AI-generated answer — Bot GPT 3.5]

To divide 4,000 by 3.5, you can use long division or a calculator.

For long division:

1142.857142857
---------------
3.5| 4,000
3,500
-----
500
350
-----
150
140
-----
10

After performing long division, you find that 4,000 divided by 3.5 equals approximately 1142.857142857.

Therefore, 4,000 ÷ 3.5 is approximately equal to 1142.857142857.

Answer 26

can u explain how 750 and 250 gallons water in 5 minutes and if it change amounts in 1 minute

Answer 27

[AI-generated answer — Bot GPT 3.5]

If you have 750 gallons of water and 250 gallons of water, and they are both being used at a constant rate, we can calculate the rate of usage per minute.

If the total amount of water used over 5 minutes is 750 + 250 = 1000 gallons, then the rate of usage per minute is 1000 gallons divided by 5 minutes:

1000 gallons / 5 minutes = 200 gallons per minute

So, the total rate of water usage is 200 gallons per minute.

If we want to calculate the rate for 1 minute, we can divide the total usage over 1 minute:

1000 gallons / 1 minute = 1000 gallons per minute

Therefore, the rate of change in the amount of water over 1 minute, when using 750 gallons and 250 gallons over 5 minutes, is 1000 gallons per minute.

Answer 28

subtract that

Answer 29

[AI-generated answer — Bot GPT 3.5]

If we want to subtract the rate of change in the amount of water over 1 minute, we can subtract 1000 gallons per minute from the initial rate of usage of 200 gallons per minute.

200 gallons per minute - 1000 gallons per minute = -800 gallons per minute.

Therefore, the rate of change in the amount of water over 1 minute is -800 gallons per minute, indicating a decrease in the amount of water.

Answer 30

can u explain how (-4) x (7/5) x (- 3/4) divded (7/15)

Answer 31

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (-4) x (7/5) x (-3/4) divided by (7/15), let's break it down step by step:

First, let's multiply the numbers:
(-4) x (7/5) x (-3/4) = (14/5) x (-3/4)

Next, let's simplify the multiplication:
(14/5) x (-3/4) = (-42/20) = (-21/10)

Finally, let's divide the result by (7/15):
(-21/10) divided by (7/15) = (-21/10) x (15/7) = (-21/2).

So, the simplified expression is (-21/2).

Answer 32

slove the following word problem. a fish is swimming at - 10.8 meters, or 10.8 meters below sea level. every 2 minutes it descends anthor 1.5 meters. how long will it take for the fish to reash a dpth of -37.8meters? show your work and write it a sentence to explain what your answer means.

Answer 33

[AI-generated answer — Bot GPT 3.5]

To solve the word problem, we need to find the number of times the fish descends by 1.5 meters until it reaches a depth of -37.8 meters.

First, let's calculate the difference in depth between the starting point of -10.8 meters and the target depth of -37.8 meters:

Difference in depth = (-37.8) - (-10.8) = -37.8 + 10.8 = -27 meters.

Next, let's divide the difference in depth by the descent rate of 1.5 meters every 2 minutes to find the number of descents:

Number of descents = (-27) / (1.5) = -18.

Since the number of descents must be a positive value, we take the absolute value:

Number of descents = 18.

Since each descent takes 2 minutes, we multiply the number of descents by 2 to find the total time taken:

Total time = 18 x 2 = 36 minutes.

Therefore, it will take the fish 36 minutes to reach a depth of -37.8 meters.

In conclusion, it will take the fish 36 minutes to descend to a depth of -37.8 meters, meaning it continuously descends by 1.5 meters every 2 minutes for a total of 18 times.