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Lemur [1.5K]
3 years ago
7

Find the reciprocal of the expression. 10b/2b + 8

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0
Comment
I think you need brackets to clarify what you mean. I think it should be written as 
10b/(2b + 8) 

If that is the case the reciprocal is

(2b + 8)/10b You just turn everything up side down. There are technical ways of doing this, but the easiest way is just to do what I just did. 

Put the numerator in  the denominator,
Put the denominator in the numerator.

You could simplify this a bit.
2b/10b + 8/10b
which reduces further.

1/5 + 4/5b 
Just to make sure you understand where that b is, I will do this in

Latex.\frac{2b + 8}{10b} =  \frac{2b}{10b} +  \frac{8}{10b} =  \frac{2}{10} + \frac{4}{5b} =  \frac{1}{5} +  \frac{4}{5b}

Alternate answer
If you do mean what your wrote then the reciprocal is 2b / 10b + 8 which is 1/5 + 8 = 8 + 0.2 = 8.2 

The 8 has nothing to do with the reciprocal under these conditions.

The answer
I have given you all the choices I can think of without going into decimals. If you have choices, please list them under the comments.
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A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.
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Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

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6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

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