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3 years ago

Variations problem Help please

Mathematics

1 answer:

Zolol [24]3 years ago

6 0

Answer:

Step-by-step explanation:

12-5=7 so...

2+7 = 9

y = 9

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Stacey scored 8 out of 12 on her lastest math test. what percentage did Stacy score on her test?

skelet666 [1.2K]

8/12 is .67, when rounded. In order to find her percentage, multiply .67 by 100 to get it. She got 66.7%, when rounded, on the test.

5 0

4 years ago

Which fraction has a value greater than 0.4? A one over three B four over ten C three over eight D five over nine

satela [25.4K]

Hi,

Fractions:

$\frac{1}{3} = 0.33 \\ \frac{4}{10} = 0.4 \\ \frac{3}{8} = 0.375 \\ \frac{5}{9} = 0.55 \\\\ 0.55 > 0.4$

Answer: | 5 over 9 | 0.55 |

Hope this helps.
r3t40

4 0

3 years ago

Find the solution to the system of equations.

VARVARA [1.3K]

Answer:

(2,3)

Step-by-step explanation:

use the equal values method.

set y equal to itself.

y = -2x+7 but also 5x-7

-2x+7=5x-7 ............................. solve the equation

7x=14

x=2

Now substitute the x value into one of the equations given. for example i'll do -2x+7.

-2(2) +7 =y

-4+7=y

3=y

so thats your answer

x=2, y=3

(2,3)

6 0

4 years ago

Given GHI G (4,-3), H (-4,2), and I (2,4), find the perpendicular bisector of HI in standard form.

Olin [163]

Answer:

$3x+y=0$

Step-by-step explanation:

step 1

Find the slope of segment HI

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

H (-4,2), and I (2,4)

substitute the given points

$m=\frac{4-2}{2+4}$

$m=\frac{2}{6}$

simplify

$m=\frac{1}{3}$

step 2

Find the slope of the perpendicular line to segment HI

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=\frac{1}{3}$

$m_2=-3$

step 3

Find the midpoint segment HI

we know that

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

H (-4,2), and I (2,4)

substitute

$M(\frac{-4+2}{2},\frac{2+4}{2})$

$M(-1,3)$

step 4

we know that

The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI

Find the equation of the perpendicular bisector of HI in point slope form

$y-y1=m(x-x1)$

we have

$m=-3$

$M(-1,3)$

substitute

$y-3=-3(x+1)$

step 5

Convert to slope intercept form

$y=mx+b$

Isolate the variable y

$y-3=-3x-3$

$y=-3x-3+3$

$y=-3x$

step 6

Convert to standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

$y=-3x$

Adds 3x both sides

$3x+y=0$

see the attached figure to better understand the problem

3 0

4 years ago

What is the simplified form of the following expression (5/4)^3

Vlad [161]

★ EXPONENTIALLY RESOLVED ★

(5/4)^3

= 5 ( 5 ) ( 5 ) / 4 ( 4 ) (4 )

= 25 ( 5 ) / 16 ( 4 )

= 125 / 64

★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★

3 0

3 years ago