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nordsb [41]
3 years ago
5

How can I divide decimals and fin the correct quotient and remainder.?

Mathematics
1 answer:
sesenic [268]3 years ago
4 0

Answer:

Add a zero to the remainder and a decimal point in the quotient. Then we can continue to divide decimals. We divide 64 by 5 and obtain 12 as a quotient and 4 as a remainder. Since the remainder is not zero, we can continue to get a decimal answer by adding a decimal point in the quotient and a zero to the remainder

Step-by-step explanation:

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Susan and her family took a trip during their vacation. They travelled a total of 3982 miles. They averaged 24 miles per gallon
ExtremeBDS [4]

Answer:

The gasoline cost $411.47.

Step-by-step explanation:

This problem can be solved using rules of three.

The first step is finding how many gallons were used.

They travelled a total of 3982 miles. They averaged 24 miles per gallon of gasoline.

So

1 gallon = 24 miles

x gallons - 3982 miles

24x = 3982

x = \frac{3982}{24}

x = 195.9

195.9 gallons were used.

How much did the gasoline cost is the price per gallon was $2.48?

Each gallon costs $2.48. 195.9 gallons were used. So

$2.48*195.9 = $411.47

The gasoline cost $411.47.

7 0
3 years ago
Given z1= sqrt 2 (cos(3pi/4)+ i sin (3pi/4)) and z2= (cos(pi/2)+ i sin (pi/2)), what is the value of z1-z2?
Kaylis [27]

Answer:

Answer is B

Step-by-step explanation:

6 0
2 years ago
Help please!! I'm very confused
lawyer [7]

Answer:

6

Step-by-step explanation:

it goes by two so I think it'll be six , not so sure tho :)

4 0
2 years ago
If you invest $4000 at 9% interest compounded annually, in how many years will you have $20,000. Give your answer the nearest te
Masteriza [31]

Answer:

18.7 years

Step-by-step explanation:

This is a compound interest problem and the following variables have been given;

Principal = 4000; this is the amount o be invested

APR = 9%; this is the compound interest to be earned

Accumulated amount = 20,000

We are required to determine the duration in years. We apply the compound interest formula;

A=P(1+r)^{n}

20000=4000(1+\frac{9}{100})^{n}\\20000=4000(1.09)^{n}\\5=(1.09)^{n}

The next step is to introduce natural logarithms in order to determine n;

ln5=nln(1.09)\\n=\frac{ln5}{ln(1.09)}\\n= 18.675

The number of years required is thus 18.7 years

6 0
3 years ago
1. (5,8) m= 3<br> It wants me to write this in slope intercept form
ikadub [295]

Answer:

The answer is: y = 3x - 7

Step-by-step explanation:

Given point: (5, 8).

Slope m = 3

Use the point slope form and solve for y:

y - y1 = m(x - x1)

y - 8 = 3(x - 5)

y - 8 = 3x - 15

y = 3x - 15 + 8

y = 3x - 7

Proof:

f(x) = 3x - 7

f(5) = 3(5) - 7

= 15 - 7 = 8, giving (5, 8)

3 0
2 years ago
Read 2 more answers
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