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Olin [163]
3 years ago
7

A service station checks Mr. Smith's radiator and finds it contains only 40% antifreeze. If the radiator holds 20 quarts and is

full, how many quarts must be replaced with pure antifreeze in order to bring it up to a required 80% antifreeze?
Mathematics
1 answer:
storchak [24]3 years ago
7 0

Answer:

8 quarts

Step-by-step explanation:

<u>Step One: Figure out how much 40% is by making an equation:</u>

<em>Since we are looking for a percentage, we use cross multiplication to find X.</em>

\frac{x}{20} = \frac{40}{100}

<u>Step Two: multiply 20 by 40 to start cross multiplying:</u>

<em>20 times 40 is 800, so replace the 40 by 800 in the equation.</em>

\frac{x}{20} = \frac{800}{100}

<u>Step Three: divide 800 by 100, and we will have X:</u>

<em>800/100=8</em>

<em><u>X=8 aka 8 quarts</u></em>

I hope this helps!

pls give thx and brainliest :D

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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
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Answer:

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Step-by-step explanation:

Please find the attached file for a clearer understanding.

SOHCAHTOA

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