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3 years ago

14

10. What is the stope of the line shown in the graph Express your answer as an improper fraction or as an integer as appropriate

. Show your work
f

1 answer:

FinnZ [79.3K]3 years ago

5 0

Step-by-step explanation:

slope is y2-y1/x2-x1

formula is

y=mx+b where m is the slope

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June who is 45 years old, is three times older than her son, James. James is five years older than his sister Rachel. How old is

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Step-by-step explanation:

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15-5=10

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If 10 pens cost 60 rupees, then the cost of 13 such pens will be rs.

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Next-door neighbors Bob and Jim use hoses from both houses to fill Bob's swimming pool. They know that it takes 12 h using both

Leokris [45]

Answer:

Jim's hose: 27 hours.

Bob's hose: 21.6 hours.

Step-by-step explanation:

Let t represent hours taken by Jim's hose.

Part of pool filled by Jim's hose in 1 hour would be $\frac{1}{t}$ .

We have been given that Bob's hose, used alone, takes 20% less time than Jim's hose alone. This means that Bob's hose take will take 80% time of Jim's hose that is $0.8t$ .

Part of pool filled by Bob's hose in 1 hour would be $\frac{1}{0.8t}$ .

We are also told that it takes 12 hours using both hoses. Part of pool filled by both hoses in 1 hour would be $\frac{1}{12}$ .

Now, we will add rates of both hoses and equate with $\frac{1}{12}$ as:

$\frac{1}{t}+\frac{1}{0.8t}=\frac{1}{12}$

$\frac{0.8}{0.8t}+\frac{1}{0.8t}=\frac{1}{12}$

$\frac{0.8+1}{0.8t}=\frac{1}{12}$

$\frac{1.8}{0.8t}=\frac{1}{12}$

Cross multiply:

$0.8t*1=1.8(12)$

$0.8t=21.6$

$\frac{0.8t}{0.8}=\frac{21.6}{0.8}$

$t=27$

Therefore, it will take 27 hours for Jim's hose to fill the pool alone.

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Therefore, it will take 21.6 hours for Bob's hose to fill the pool alone.

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4 years ago