MATHEMATICS MIDDLE SCHOOL

Use the figure to find each ratio in simplest form.PO/PS=

2/5
3/5
3/8

Answers

Answer 1

Answer:

Answer:

3/5

Step-by-step explanation:

PO/OS=6/10=(3*2)/(5*2)=3/5

Answer 2

Answer:

Answer:

The answer is 3/5

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A pile of newspapers in Ms. McGrath’s art class was 17 3/4 inches high. Each consecutive week, for the next 5 weeks, the height of the pile of newspapers increased by 8 7/12 inches. What was the height, in inches, of the pile after 3 weeks?

Answers

If you would like to know what was the height, in inches, of the pile after 3 weeks, you can calculate this using the following steps:

17 3/4 inches + 3 * 8 7/12 inches = 71/4 + 3 * 103/12 = 213/12 + 309/12 = 522/12 = 87/2 = 43 1/2 inches

The correct result would be 43 1/2 inches.

Let

x--------> the number of weeks

y--------> the height of a pile of newspapers in inches

we know that

$17(3)/(4)=(17*4+3)/(4) =(71)/(4)$

$8(7)/(12)=(8*12+7)/(12) =(103)/(12)$

$y=(103)/(12)x+(71)/(4)$

To find the height after $3$ weeks

Let

$x=3\ weeks$ and substitute in the equation

$y=(103)/(12)*3+(71)/(4)$

$y=(174)/(4)$

$y=43.5\ in$

$y=43(1)/(2) \ in$

therefore

the answer is

the height, in inches, of the pile after $3$ weeks is $43(1)/(2) \ in$

7 less than 3 times a number m

Answers

3x-7 is the answer...

Answer:

3x-7

Step-by-step explanation:

How do you do equations on both sides.

Answers

If you give an example of a problem you are having trouble with, I can help walk you through it.

hello , to do equation on bother sides; these are the steps i use personally
e.g.
5x-4=2x+14
you would subtract 2x from both sides so it will simply to...
3x-4=14 (do the opposite to the 4 in this case it is subtract and the opposite is add so you would add 4 to the 14 as following)
3x=14+4
3x=18
(divide 18 by 3 )
x=6
hope this helps it is quite confusing but once you practise a few questions you will get the hang of it.

I need help with this

Answers

Answer:

Option B

Option C

Step-by-step explanation:

$x^(2) +2x=4$

we need to divide the coefficient of x by half since it is required for completing square, this term is added and subtracted at the same time to keep the equation intact, so we have

$x^(2) +2x+1-1=4$

later we have

$(x+1)^(2) -1=4$

$(x+1)^(2)= 4+1$

$(x+1)^(2) = 5$

$\sqrt{(x+1)^(2)} =√(5)$

we know

$\sqrt[2]{a^(2)} = abs (a)$

$abs(x+1)=√(5)$

we have

$x+1=√(5)$

$x+1= -√(5)$

so we have

$x=√(5)-1$

$x=-√(5)-1$

finally

$x=+- √(5)-1$

The second is obtained by summing the two given equations

f(x)=8x-10

g(x)=3x+5

-----------------

f(x)+g(x)=11x-5

How many 2/3 pieces can you cut from a 10 foot long board

Answers

I told you in my answer that I was writing that you have to remember that in math any whole number converted to a fraction is over 1. So make the 10 a 10/1.

10/1 divided by 2/3 copy change flip.

10/1 x 3/2 multiple across 30/2 divide that answer is 15. You can cut 15 boards that are 2/3 in length from a 10 foot long board.

before a race,you start 4 5/8 behind your friend . At the halfway point,you are 3 2/3 feet ahead of your friend. What is the change in distance between you and your friend from beginning of the race?