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Nookie1986 [14]
3 years ago
14

5/8 of the staff are male. 5/12 of the staff works part time at the aquarium. What is the fraction of the staff being a female?

Mathematics
1 answer:
mestny [16]3 years ago
5 0

Answer:3/8

Step-by-step explanation:

5/8 of the staff are male.  The entire staff is represented by the fraction 8/8.  Taking 5/8 from this, what we have left is

8/8-5/8 = 3/8 of the staff are female.

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Solve for x. −5(x−4)=−30
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Let's solve your equation step-by-step.<span><span>−<span>5<span>(<span>x−4</span>)</span></span></span>=<span>−<span>30

</span></span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>5<span>(<span>x−4</span>)</span></span></span>=<span>−30</span></span>
<span>Simplify: (Show steps)</span><span><span><span>−<span>5x</span></span>+20</span>=<span>−<span>30

</span></span></span>Step 2: Subtract 20 from both sides.<span><span><span><span>−<span>5x</span></span>+20</span>−20</span>=<span><span>−30</span>−20</span></span><span><span>−<span>5x</span></span>=<span>−<span>50

</span></span></span>Step 3: Divide both sides by -5.<span><span><span>−<span>5x</span></span><span>−5</span></span>=<span><span>−50</span><span>−5</span></span></span><span>x=<span>10

</span></span>Answer:<span>x=<span>10</span></span>
8 0
3 years ago
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The value of a house depreciates by 8% per year. Work out the current value of a house bought 2 years ago for £180000
Diano4ka-milaya [45]

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Find the ratio a:b, if 2a−b/6 = b/3
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Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

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Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

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Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

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4 years ago
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Answer:

Step-by-step explanation:

if we have a right triangle,

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