MATHEMATICS HIGH SCHOOL

If you give me 70 coins I will have three times as much money as you, but if I give you 70 coins, then you will have five times as much as me. How many coins do we each have?

Answers

Answer 1

Answer:

Answer:

I have 110 coins, you have 130 coins

Step-by-step explanation:

I have x coins and you have y coins.

According to question we set the following equations.

If you give me 70 coins I will have three times as much money as you:

x + 70 = 3(y - 70) ⇒ x + 70 = 3y - 210 ⇒ x = 3y - 280

If I give you 70 coins, then you will have five times as much as me:

y + 70 = 5(x - 70) ⇒ y + 70 = 5x - 350 ⇒ y = 5x - 420

Solve by substitution:

y = 5(3y - 280) - 420
y = 15y - 1400 - 420
15y - y = 1820
14y = 1820
y = 1820/14
y = 130

Find the value of x:

x = 3*130 - 280
x = 390 - 280
x = 110

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Answers

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here is a picture of the previous question

Answers

$2m-\frac { 1 }{ 2 } =\frac { m }{ 7 } +\frac { m }{ 2 } \n \n \frac { 1 }{ m } \left( 2m-\frac { 1 }{ 2 } \right) =\frac { 1 }{ m } \left( \frac { m }{ 7 } +\frac { m }{ 2 } \right)$

$\n \n \frac { 2m }{ m } -\frac { 1 }{ 2m } =\frac { m }{ 7m } +\frac { m }{ 2m } \n \n 2-\frac { 1 }{ 2m } =\frac { 1 }{ 7 } +\frac { 1 }{ 2 } \n \n 2-\frac { 1 }{ 7 } -\frac { 1 }{ 2 } =\frac { 1 }{ 2m }$

$\n \n \frac { 28 }{ 14 } -\frac { 2 }{ 14 } -\frac { 7 }{ 14 } =\frac { 1 }{ 2m } \n \n \frac { 19 }{ 14 } =\frac { 1 }{ 2m } \n \n { \left( 2m \right) }^( -1 )={ \left( \frac { 14 }{ 19 } \right) }^( -1 )$

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What is 68,642 rounded to the nearest thousand?

Answers

68,642 rounded to the nearest thousand is 69,000.

It's because 68,642 is closer to 69,000 than to 68,000.

I hope it will help you and give a clue for rounding numbers in the future ;)

The rule of rounding numbers up is if it's 5 or up, round it. Since your number is 68,642, it would round to 69,000. Because the 6 in the hundreds place is greater than 5.

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pyramid
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Answers

Answer:

pyramid

hope this helped! :)

Answer:

Your answer is a pyramid.

Step-by-step explanation:

While a cone also only has one base, it's base is a circle, which is not considered a polygon. The other two choices have two bases.

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Answers

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