Solve for x. 13 =(5x+ 6)/8 + (5x+4)/4

Mathematics

1 answer:

valkas [14]2 years ago

3 0

Answer: x=6

Step-by-step explanation:

To solve for x, we want to isolate the variable.

$\frac{5x+6}{8} +\frac{5x+4}{4} =13$ [get common denominator]

$\frac{5x+6}{8} +\frac{2(5x+4)}{8} =13$ [add fractions]

$\frac{5x+6+10x+8}{y} =13$ [combine like terms]

$\frac{15x+14}{8} =13$ [multiply both sides by 8]

$15x+14=104$ [subtract both sides by 14]

$15x=90\\$ [divide both sides by 15]

$x=6$

Now, we know that x=6.

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Bonnie planted a garden in her backyard. Both the garden and the backyard are right triangles. The garden is proportional to the

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You can find the area of Bonnue's backyard by comparing the hypotenuse of the garden to the hypotenuse of the back yard. If the hypotenuse of the garden is 10 (with the side lengths being 6, 8 and 10 - the longest is always the hypotenuse) and the hypotenuse of the back yard is 30, this is a scale factor of 3 (3 times longer).

This means the other two sides would also be 3 times longer.

6 yards x 3 = 18
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To find the area using these dimensions, you will use the formula for finding the area of a triangle.

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