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strojnjashka [21]
3 years ago
9

If a machine requires an output of 5,000 joules of work to put out 4,000joules of work, what is the machines efficieny? (Hint: t

he formula for efficiency is below):
Efficiency= Output work/
/Input work X 100%

Answers:
100%
40%
80%
60%
Mathematics
1 answer:
stira [4]3 years ago
5 0

Answer:

The  machines efficiency is 80% .

Step-by-step explanation:

Formula

Efficiency = \frac{W_{out}\times 100}{W_{in}}

Where W_{out} represented the output work .

W_{in} represented the input work .

As given

If a machine input of 5,000 joules of work to put out 4,000 joules of work .

Input work = 5000 joules

Output work = 4000 joules

Putting the values in the formula

Efficiency = \frac{4000\times 100}{5000}

Efficiency = \frac{400000}{5000}

Efficiency = 80%

Therefore the  machines efficiency is 80% .

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Someone help and please answer it fully
IRINA_888 [86]

Answer:

No, Matt did not solve the equation correctly

Correct Answer: x = 8

Step-by-step explanation:

4(x + 2) = 30

Step 1: Distribute

4x + 2 = 30      =>     This is his mistake, he should completely distribute 4    

                                  to x and 2

Step 2: Subtract 2 from both sides/Isolate x

4x = 28           =>      This part is done correctly, but wrong because of Step 1

Step 3: Divide both sides by 4

x = 7                =>      This is correct, but again, he messed up on Step 1

<h3>Let's find the correct answer to this equation:</h3><h3>4(x +2) = 30</h3>

Step 1: Distribute

Remember to distribute 4 to all terms in the parenthesis.

4(x + 2) = 4(x) + 4(2)

            = 4x + 8

4x + 8 = 30

Step 2: Subtract 8 from both sides/Isolate x

Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides  => (opposite operation of adding 8)

4x + 8 = 30

4x = 30 - 8

4x = 32

Step 3: Divide both sides by 4/Isolate x

Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself

4x = 32

4(x) = 32

x = 32 ÷ 4

x = 8

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