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Arturiano [62]
2 years ago
6

When dividing 250,000 by 100, the digits in the quotient move how many places to the right?

Mathematics
1 answer:
Zanzabum2 years ago
6 0

When dividing 250,000 by 100, the digits in the quotient move by 2 places to the right.

<u>Step-by-Step explanation:</u>

Here we have , to find out that When dividing 250,000 by 100, the digits in the quotient move how many places to the right . Let's find out:

⇒  dividing 250,000 by 100

⇒  250,000 / 100

⇒  \frac{250000}{100}

⇒  \frac{2500(100)}{100}

⇒  2500

Initially we had 250,000 of 6 digits and now after dividing 250,000 by 100,  we have 2500 of 4 digits ! So , Number of places quotient shift to right is:

⇒ 6-4

⇒ 2

Therefore, When dividing 250,000 by 100, the digits in the quotient move by 2 places to the right.

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Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
Oksanka [162]

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

x - y = 25

2x + 3y = 180  

(2)

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(3)

x - y = 19

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Solutions

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Required

Match equations with solutions

(1) x - y = 25 and 2x + 3y = 180

Make x the subject in: x - y = 25

x = 25 + y

Substitute x = 25 + y in 2x + 3y = 180

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Collect like terms

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Solve for y

y =26

Recall that: x = 25 + y

x = 25 + 26

x = 51

So:

(x,y) = (51,26)

(2)  2x - 3y = -5 and 11x + y = 550

Make y the subject in 11x + y = 550

y = 550 - 11x

Substitute y = 550 - 11x in 2x - 3y = -5

2x - 3(550 - 11x) = -5

2x - 1650 + 33x = -5

Collect like terms

2x  + 33x = -5+1650

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y = 550 - 11 * 47

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So:

(x,y) = (47,33)

(3)

x - y = 19  and -12x + y = 168

Make y the subject in -12x + y = 168

y = 168 + 12x

Substitute y = 168 + 12x in x - y = 19

x - 168 - 12x = 19

Collect like terms

x -12x = 168 + 19

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Solve for x

x = -17

Solve for y in y = 168 + 12x

y =168-12 *17

y =-36

So:

(x,y) = (-17,-36)

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