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artcher [175]
3 years ago
10

20% of a is 11, what is a

Mathematics
2 answers:
Nina [5.8K]3 years ago
7 0

Answer:

2.2

Step-by-step explanation:

11÷5 because 20 goes into 100 5 tines hope this helps!:)

MrRa [10]3 years ago
7 0

Answer:

a = 55

Step-by-step explanation:

1. Set up the equation: 0.2a = 11 (20% is equal to 0.2 because to convert a percentage to a decimal you divide it by 100. In math, "of" means "times" and "is" means "equals" so the equation is 0.2 x a = 11, which can be shortened to 0.2a = 11).

2. Divide both sides by 0.2. You will be left with a = 55.

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write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9
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Answer:

\large\boxed{y=\dfrac{7}{2}x-18}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

3x+4x=2y-9

7x=2y-9             <em>add 9 to both sides</em>

7x+9=2y       <em>divide both sides by 2</em>

\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}

Parallel lines have the same slope. Therefore we have the equation:

y=\dfrac{7}{2}x+b

Put the coordinates of the point (4, -4) to the equation:

-4=\dfrac{7}{2}(4)+b

-4=7(2)+b

-4=14+b       <em>subtract 14 from both sides</em>

-18=b\to b=-18

Finally we have the equation:

y=\dfrac{7}{2}x-18

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Step-by-step explanation:

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