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3 years ago

Four times the larger of two numbers is equal to seven times the smaller the sum of the numbers is 22 find the numbers

Mathematics

1 answer:

Alexus [3.1K]3 years ago

4 0

Answer:

8 and 14

Step-by-step explanation:

X + Y = 22

X= 22-Y

4X= 7Y

4(22-Y) = 7Y

88-4Y=7Y

88= 11Y

8=Y

X= 22-Y= 22-8=14

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In the western region about many more l200 models were sold than l100 models?

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3 years ago

Simplify. 32 + 1 x 2 (1).8 (2).20 (3).14 (4).11

pshichka [43]

Answer:

31.11

Step-by-step explanation:

simplify the expression

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3 years ago

8/x-5 - 9/x-4 = 5/x^2-9x+20

adelina 88 [10]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2752942

_______________

Solve the equation:

$\mathsf{\dfrac{8}{x-5}-\dfrac{9}{x-4}=\dfrac{5}{x^2-9x+20}\qquad\qquad(x\ne 5~and~x\ne 4)}$

Reduce the fractions at the left side so that they have the same denominator:

$\mathsf{\dfrac{8(x-4)}{(x-5)(x-4)}-\dfrac{9(x-5)}{(x-4)(x-5)}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-4x-5x+20}-\dfrac{9x-45}{x^2-4x-5x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32}{x^2-9x+20}-\dfrac{9x-45}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}\\\\\\
\mathsf{\dfrac{8x-32-(9x-45)}{x^2-9x+20}=\dfrac{5}{x^2-9x+20}}$

Numerators must be equal:

$\mathsf{8x-32-(9x-45)=5}\\\\
\mathsf{8x-32-9x+45=5}\\\\
\mathsf{8x-9x=5+32-45}\\\\
\mathsf{-x=-8}\\\\
\mathsf{x=8}\quad\longleftarrow\quad\textsf{this is the solution.}$

I hope this helps. =)

Tags: <em>rational equation fraction solution algebra</em>

7 0

3 years ago

The length of a rectangular book is 2 times its width. The perimeter of the book is 42 inches. Write a system of

wel

Answer:

Mark me as brainlist

Step-by-step explanation:

P = Perimeter

L = Length

W = Width

Perimeter of rectangle = L + L + W + W

or P = 2L + 2W

You know:

P = 36 inches

L = 2W [length is(=) 2 times it's width]

W = ?

P = 2L + 2W

Substitute/plug in what you know, plug in 2W for L since L = 2W

36 = 2(2W) + 2W Simplify

36 = 4W + 2W

36 = 6W Divide 6 on both sides

6 = W Now that you know the width, you can find the length:

L = 2W

L = 2(6)

L = 12

L = 12 in

W = 6 in

PROOF

P = 2(12) + 2(6)

P = 24 + 12

P = 36

7 0

3 years ago