Mathematics, 31.01.2020 10:48 smartperraorwhateva

A6 foot tall football player casts a 16 inch shadow at the same time the stadium bleachers cast a 6 foot shadow how tall are the bleachers

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Answer from: bks53

27 foot or 324 inches

Step-by-step explanation:

Given: A 6 foot tall football player casts a 16 inch shadow. At the same time the stadium bleachers cast a 6 foot shadow.

To find: how tall are the bleachers

Solution:

It is given that a 6 foot tall football player casts a 16 inch shadow.

So, the height of the footballer in inches is $12\times6=72$ inches.

we have the ratio of the height of football player to the shadow is $\frac{72}{16}$

Length of shadow in inches is $12\times6=72$ inches.

Now, let the height of the bleachers be h.

So, the ratio of bleachers height to the shadow is $\frac{h}{72}$

Since, at the same time the stadium bleachers cast a 6 foot shadow. So, the ratio of height of bleachers to the shadow is same as the ratio of the height of football player to the shadow.

On solving,

$\frac{h}{72} =\frac{72}{16}$

$\implies h=\frac{72\times72}{16}$

$\implies h=36\times9$

$\implies h=324$ inches or $\frac{324}{12}=27$ foot

Hence, the height of bleachers is 324 inches or 27 foot.

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Answer from: Quest

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25

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