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svetlana [45]
3 years ago
12

Solve for the base. Round to hundredths when necessary.

Mathematics
1 answer:
Elena-2011 [213]3 years ago
6 0

Answer:

  1. 2730.54
  2. 18.8%
  3. 62.5% (decrease)

Step-by-step explanation:

The applicable formula is ...

  rate = portion/base

so ...

  base = portion/rate

Of course, a percentage is a fraction that has been multiplied by 100%.

__

1. base = portion/rate = 456/0.167 ≈ 2730.54

The base is about 2730.54.

__

2. rate = portion/base = 50/266 ≈ 0.18797 ≈ 18.8%

The rate is about 18.8%.

__

3. The decrease can be figured from ...

  rate of change = (new amount)/(original) -1 = 33/88 -1

     = -5/8 = -0.625 = -62.5%

The rate of decrease is 62.5%.

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\boxed{\sf B)\: x=\sqrt{17}}

Step-by-step explanation:

<u>Use the Pythagorean Theorem</u>

The equation for the Pythagorean Theorem is \tt a^2+b^2=c^2

* a and b are the lengths of the legs, and c is the hypotenuse.*

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___________________________

5 0
2 years ago
Read 2 more answers
Can someone please help me with this question?
liq [111]
To get the solution we are looking for we need to point out what we know.
1. We assume that 55 is 100% because its the output value of the task.
2. We assume that the x is the value we are looking for. 
3. If 100% = 55 so we can write it down as 100%=55 
4. We know that x% = 44 of the output value so we can write it as x%=44.
5. Now we have two simple equations: 1) 100%=55 2) x%=44 where left sides of both of them have the same units and both right sides have the same units so we can do something like that 100%/x%=55/44.
6. Now we just have to solve the simple equation and we will get the answer.
7. Solution for 44 is what percent of 55 100%/x%=55/44 (100/x)*x=(55/44)*x we multiply both sides of the equation by x 100= 1.25*x we divide both sides of the equation by (1.25) to get x 100/1.25=x 80=x now we have: 44 is 80% of 55! 

Quick answer = 44 is 80% of 55
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