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PtichkaEL [24]
3 years ago
7

It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impa

tient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?
+ 5r = 8
+ 5r = 1
5() = r
= 5r
Mathematics
2 answers:
Mnenie [13.5K]3 years ago
7 0

Answer:

correct answer is option;B

Step-by-step explanation:

horsena [70]3 years ago
5 0
We
let r be the rate in parts per minute at which the lawn sprinkler would fill the pool if use alone then

If the handheld hose and the lawn sprinkler are used together, we have this equation:
5/r + 5/8 = 1

Simplifying this expression,
5(8) + 5r = 1
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What is the value of x in the following equation 1/5x=5^8 <br> A)-8 B) 8 C)40 D)-40
Monica [59]
The correct question is
What is the value of x in the following equation (1/5)^x=5^8 

Applying logarithms both members
log(1/5)^x=log(5^8) 
x*log(1/5)=8*log(5)
x=8*log(5)/log(1/5)

we know that
log (1/5)----> log (1)-log (5)----> 0-log (5)-----> -log (5)
so
x=8*log(5)/-log (5)------> x=-8

the answer is
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Find the sum of the convergent series 7 0.7 0.007
mafiozo [28]
7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)

Let S_n denote the nth partial sum of the series, i.e.

S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}

Then

\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}

and subtracting from S_n we get

S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}
\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)

As n\to\infty, the exponential term vanishes, leaving us with

\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9

and so

7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9
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3 years ago
I need the help on this
Salsk061 [2.6K]

Answer:

Go catipiller

Step-by-step explanation:

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2 years ago
An explanation would be appreciated!!
sweet-ann [11.9K]

Answer:

Answer: l = 82.5

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11/2 x 15 = 82.5.

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