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Alekssandra [29.7K]
3 years ago
13

Find the value of 4w +1 given that -3w-7=2. Simplify your answer as much as possible.

Mathematics
2 answers:
vazorg [7]3 years ago
8 0

Answer:

4w + 1 = -11

Step-by-step explanation:

Solving -3w - 7 = 2

By adding 7 to both sides of the equation  we get -3w = 9

to get to w = ... we need to divide both sides with -3, which gives us

w = -3. You can check this answer by putting it back into the original equation ( -3 * -3 - 7 does equal 2,  which means our solution for w is correct.

Now all we have to do is put our solution for w into the remaining equation:

4 * -3 + 1 = -12 + 1 = -11

ivolga24 [154]3 years ago
4 0

Answer:

-11

Step-by-step explanation:

-3w - 7 = 2

-3w (- 7 + 7) = 2 + 7

-3w = 9

-3w/-3 = 9/-3

w = -3

4w + 1

4(-3) + 1

-12 + 1

-11

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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
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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}

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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
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