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enyata [817]
3 years ago
11

70% of what number is 21 and how do you do it

Mathematics
2 answers:
tester [92]3 years ago
4 0
The answer is 30 because you put 21/x= 70/100
you cross multiply 100 and 21 you get 2100 and you divide it by 70 you should get 30 cause you take out one 0 from both numbers and end up with 210 divided by 7 then you get 30

Katen [24]3 years ago
3 0
70 % of unknown number = 21
We multiply the percentage by a variable and make it = to the given value.
70% of n = 21
Change percent to decimal
70% = \frac{70}{100} = 0.7
0.7n = 21
divide either sides by 0.7 to isolate n

\frac{0.7n}{0.7} = \frac{21}{0.7}
0.7 and 0.7 cancels out
n = 30

0.7 × 30 = 21
70 % of 30 is 21
An example has been attached below

% of a number = multiply % by number
value is the % of a number = divide % by value

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Okay. so I'm gonna assume you know what factor out means--were gonna take out 5/6. what we need to know is, how does that affect our ending number 2/3? well, we're gonna have 5/6 times some stuff first off, right?

5/6 ( )

so what's in the parenthesis? well, if we distribute in our mind, S would just have to be by itself for it to work out. so we have

5/6 ( s )

but what about 2/3? well, if we're multiplying everything on the inside by 5/6, how can be get it to cancel and leave 2/3 alone? we could divide 2/3 by 5/6, right?

5/6 ( s + (2/3) / (5/6) )

now, when we distribute our 5/6, we'll have just 2/3 at the end. now let's simplify that end term so it looks a little better. if we divide by a fracion, that's the same as multiplying by the flipped version, so let's do that.

2/3 / 5/6 = 2/3 × 6/5 = 2 (6) / 5 (3) = 12/15

we can reduce 12/15 by dividing the top and bottom by three.

= 4/5

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6 0
3 years ago
15 points!!! GEOMETRY help please!!<br> Questions attached!
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3. Look at the picture.

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Answer:\ \boxed{47^o}

4.
Look at the picture.

Use Pythagorean theorem:

x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8

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Answer:

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Step-by-step explanation:

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