Question

I Really need help with 5 questions can someone please help me and can you show me your work so i could have a better understanding Thank You:)
1.Juan can clean a typical pool in 5 hours. Carl can clean a typical pool in 4 hours. How long should it take Juan and Carl working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction.
2. Simplify 5 * sqrt(8) / sqrt(40) by rationalizing the denominator
3. Simplify (3sqrt(5) + 2sqrt(6))^2.
4. Simplify the radical expression. Show all your steps.
sqrt(192) – 4sqrt(27)
I'd really appreci

Answer 1

@ShadowLegendX

Answer 2

time = 5 hrs/typical pool ; rate = 1/5 , typical pool/hr

time = 4 hrs/typical pool ; rate = 1/4 , typical pool/hr

Answer 3

could you walk me through the problem Please

Answer 4

time = x hrs/typical pool ; 1/x , typical pool/hr

Answer 5

Our equation is rate + rate = together rate

Answer 6

So i just add the 2 rates and thats my answer?

Answer 7

1/5 + 1/4 = 1/x

Multiply whole equation by x

1/5x + 1/4x = 1

Multiply whole equation by 5

x + 5/4x = 5

Multiply whole equation by 4

4x + 5x = 20

9x = 20

x = 20/9

or 2.22222222222 = x

x = how many hours it would take

Answer 8

Proof the above is correct,

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Answer 9

Thank you very much

Answer 10

2.

\[ 5 * \sqrt(8) / \sqrt(40) = 5 \times \frac{ \sqrt 8 }{ \sqrt 40 }\]

\[5 \times \frac{ \sqrt 8 }{ \sqrt 40 } \rightarrow 5 \times \frac{ \sqrt 8 }{ \sqrt 40 } \times \frac{ \sqrt 40 }{ \sqrt 40 }\]

Answer 11

I've got to go somewhere in 10 minutes so i will be back for sure and will medal and fan. Thank you for your help. There are only 4 more questions i would like help with

Answer 12

\[5 \times \frac{ \sqrt 320 }{ 40 }\]

Answer 13

We know that 8 x 40 = 320, we can start there with breaking down the sqrt of 320



\[5 \times \frac{ 8 \sqrt 5 }{ 40 }\]