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BabaBlast [244]

2 years ago

13

An inlet pipe can fill an empty swimming pool in 5 hours, and another inlet pipe can fill the pool in 4 hours. How long will it

take both pipes to fill the pool?

1 answer:

Strike441 [17]2 years ago

7 0

It would take appx. 1-2 hours

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Four to the power of three times four to the power of negative six is equal to four to the power of five times four to the power

ivann1987 [24]

The blank is -8

Step-by-step explanation:

Let us revise some rules of indices:

$a^{m}$ × $a^{n}$ = $a^{m+n}$
$a^{m}$ ÷ $a^{n}$ = $a^{m-n}$
$a^{m}$ = $a^{n}$ , them m = n

∵ $4^{3}$ × $4^{-6}$ = $4^{5}$ × $4^{x}$

∵ All bases are equal

∴ Use the first and third rule above to find x

∵ $4^{3}$ × $4^{-6}$ = $4^{3+-6}$

∴ $4^{3}$ × $4^{-6}$ = $4^{-3}$ ⇒ L.H.S

∵ $4^{5}$ × $4^{x}$ = $4^{5+x}$ ⇒ R.H.S

Equate L.H.S and R.H.S

∴ $4^{-3}$ = $4^{5+x}$

Equate the indices of the two sides

∴ -3 = 5 + x

- Subtract 5 from both sides

∴ -8 = x

∵ x represents the blank

∴ The blank = -8

The blank is -8

Learn more:

You can learn more about the indices in brainly.com/question/4419221

#LearnwithBrainly

3 0

3 years ago

As a salesperson, Brittany earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to

svlad2 [7]

Answer:

B) x>28,000

Step-by-step explanation:

if 1,200 + 0.075x >3,300 then

0.075x > 3,300 - 1,200

0.075x > 2,100

x > 2,100/0.075 (<em>the inequality does not change because 0.075>0</em>)

x > 28,000

5 0

3 years ago

Read 2 more answers

A die is tossed 20 times. Find the theoretical probability of landing on 3?

Kitty [74]

Answer:

3.333 repeating

Step-by-step explanation:

7 0

3 years ago

5+5?????????????????????????????????????????/

densk [106]

Answer:

Hello There!!

Step-by-step explanation:

Here is your answer:5+5 eqauls 10.

hope this helps,have a great day!!

~Pinky~

3 0

2 years ago

If q is between 0 degrees and 90 degrees and tan deta =7/8 find cosine deta

sertanlavr [38]

Answer:

question is unclear

Step-by-step explanation:

I dont know

4 0

3 years ago