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IceJOKER [234]
3 years ago
11

after 12 girls left the school assembly the ratio of the number of boys to girls is 3 to 4. if there were w boys at the assembly

, write an algebraic expression for the number of girls at the beginning of the assembly in terms of w
Mathematics
1 answer:
son4ous [18]3 years ago
3 0
Let g = original # of girls at the assembly.
Let w = # of boys at the assembly.

Equation of ratios:

w                 3         boys
-------    =    ---- = --------------------------------------------
g-12             4      girls after 12 have left assembly
                                                                                     4w + 36
Cross-mult., 4w = 3g - 36, so 4w + 36 = 3g, and g = ---------------  (answer)
                                                                                           4

This is "original # of girls at the assembly in terms of w, the # of boys at the assembly."
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soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

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P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

\frac{13}{2} = L + W

So that;

W = \frac{13}{2} - L

The required formula for the width as a function of L is: W = \frac{13}{2} - L

b. Area of a rectangle can be expressed as;

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substitute the expression for width in that of area to have

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A = \frac{13L - L^{2} }{2}

The expression for the area A is: A = \frac{13L - L^{2} }{2}

Visit: brainly.com/question/10452031

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