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blsea [12.9K]
3 years ago
8

the strength of students in a school when increased by 8% becomes 2160. find the original strength of students in the school.

Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

1987.2

Step-by-step explanation:

We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the strength of students increased by 8% to 2160 then the original was 92%.

\frac{92}{100}=\frac{y}{2160}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

92(2160)=100(y)

198720=100y

y=1987.2

There are 1987.2 as the original strength of students.


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Answer:

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Given the following data;

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Tax = 13%

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Write, in slope intercept form, the equation of the line that passes through (8, -9) and has a slope of -5/4.
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Answer:

The equation in the slope-intercept form will be:

y=-\frac{5}{4}x+1

Step-by-step explanation:

Given

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As we know that the equation of a line in point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -5/4 and point = (8, -9)

y-\left(-9\right)=\frac{-5}{4}\left(x-8\right)

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Writing the equation in slope-intercept form

y=mx+b

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subtract 9 from both sides

y+9-9=\frac{-5}{4}\left(x-8\right)-9

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y=-\frac{5}{4}x+1

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