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elixir [45]
3 years ago
8

Judy paid $120.96 for carpet for her room that is 144 ft.² Nathan like the carpet she chose but he wasn't sure it would match th

e walls in his living room so he purchased a one square foot sample of the same carpet based on the price Judy paid what was the cost of the sample
Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

$0.84

Step-by-step explanation:

120.96/144= 0.84

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S
Harman [31]
ANSWER

y =  \frac{3}{2} x + 8



EXPLANATION

The line given to us has equation,

2x + 3y = 9

We need to write this equation in the slope intercept form to obtain,


3y =  - 2x + 9



\Rightarrow \: y =  -  \frac{2}{3}x + 3


The slope of this line is

m_1 =  -  \frac{2}{3}
Let the slope of the perpendicular line be

m_2

Then
m_1 \times m_2 =  - 1


-  \frac{2}{3} m_2=  - 1

This implies that,

m_2 =  - 1 \times  -  \frac{3}{2}


m_2 =  \frac{3}{2}



Let the equation of the perpendicular line be,

y = mx + b

We substitute the slope to get,


y =  \frac{3}{2} x + b

Since this line passes through
(-2,5)
it must satisfy its equation.


This means that,

5=  \frac{3}{2} ( - 2)+ b


5 =  - 3 + b



5 + 3 = b


b = 8

Wherefore the slope-intercept form is

y =  \frac{3}{2} x + 8
6 0
4 years ago
The ratio of men to women working for a company is 3 to 4. If there are 112 women working for the company, what is the total num
Andrews [41]
112 / 4 = 28

28 x 3 = 84

There are 84:112 men to women working for the company.
3 0
3 years ago
Read 2 more answers
The area of a rectangle is 200 square feet. Find its length if its width is 10 feet.
bearhunter [10]

Answer:

20        

Step-by-step explanation:

In area you have to multiply so 10 x ? = 200

10 x 20 = 200

5 0
3 years ago
HELP PLEASEWhat is the value of the exponential expression below?
vladimir2022 [97]
Hi, I got C because you just put 1/2 in for an exponent.. so, 16 of an exponent of 1/2.. it would be letter C. 4
6 0
3 years ago
Read 2 more answers
X+2y=8 x-2y=-4 solve by system of equations
Vsevolod [243]

Answer:

Step-by-step explanation:

x + 2y = 8 -----------(I)

x - 2y  = -4 -----------(II)

Add equation (I) & (II) and thus y will be eliminated and we can get the value of 'x'

(I)           x + 2y = 8

(II)          <u>x - 2y  = -4</u><u>      </u>{Now add}

           2x         = 4

                   x   = 4/2

x = 2

Substitute x =  2 in equation (I)

2 + 2y = 8

    2y = 8 - 2

    2y = 6

      y = 6/2

y = 3

3 0
3 years ago
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