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When z is divided by 8, the remainder is 5. what is the remainder when 4z is divided by 8?

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Answer from: RogueDragon707

The remainder when 4z is divided by 8 is 4

From the question, when z is divide by 8, the remainder is 5. But we do not know the quotient.

From the formula

$\frac{Dividend}{Divisor}= Quotient + \frac{Remainder}{Divisor}$

Here, the dividend is z, divisor is 8, and the remainder is 5.

Let the quotient be x, then we can write that

$\frac{z}{8} = x + \frac{5}{8}$

Now, to determine the remainder when 4z is divided by 8,

Multiply both sides of the equation by 4

$4 \times\frac{z}{8} =4\times( x + \frac{5}{8})$

$\frac{4z}{8} = 4x + \frac{20}{8}$

Then,

$\frac{4z}{8} = 4x +2+ \frac{4}{8}$ (NOTE: $\frac{Remainder}{Divisor}$ must be a proper fraction)

$\frac{4z}{8} = (4x +2)+ \frac{4}{8}$

Compare this to the formula $\frac{Dividend}{Divisor}= Quotient + \frac{Remainder}{Divisor}$

The remainder is 4

Hence, the remainder when 4z is divided by 8 is 4.

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Answer from: bluebug7316

The question states that z divided by 8, or z/8 has a remainder of 5. That means that 8 goes into z 5 times, but has a remainder of 5, meaning that 8*5+5=z=45. To find 4z, we multiply 45 by 4 to get 180. Next, we use long division to divide that by 8.

22

8 | 180
-160

20
-16
___
4. This can be done due to that 8 does not go into 1, but 8*2=16, and 8*3=24. Keep in mind that since 8 doesn't go into 1, the 1 moves over with the 8 to form 18. Next, we have 18-16=2, and we add a 0 at the end because 180 has 3 digits. We repeat the process for 20, and at the end, since 8 does not go into 4, we have a remainder of 4

Answer from: Quest

part a

x y

0 8

1 7.5

2 7

3 6.5

4 6

5 5.5

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part c

for every x value there is only one y value

x y

0 8

1 7.6

2 7.2

3 6.8

step-by-step explanation:

Answer from: Quest

25 questions , because they start with 100.

350-100=250 .

. 250/10=25

step-by-step explanation:

first take off 100, then what x 10 = 250? that is your answer. (25)

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