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Nesterboy [21]
3 years ago
9

A sofa is on sale for 27% off. The sale price is $511. What is the regular price?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0
700 dollars, what you do is divide 511 by 73 then multiply the number by 100.
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This is a polygon and I need help finding the missing angle ?
allsm [11]
First, you need to know that the total (degrees) of the interior angles is 360 because this is a quadrilateral.

The unnumbered angle is 109 degrees. We know this because the angle labeled 71 degrees and the unnumbered angle are supplementary. So you subtract 180 from 71 to get 109. 
180-71=109

To solve for x, we need to realize the other numbers playing into the angles' values. To make solving this easier, I'm gonna assign letters to the angles. 

(10x+6) is angle A. 

(13x-2) is angle B. 

(8x-1) is angle C.

and 109 (the one we solved) is angle D. 

We know that the total of the interior angles is 360, so we can add the 2 from angle B and the 1 from angle C to 360. This is because these numbers are subtracted from the other values. 
360+2+1=363

Now, we have to subtract the 6 from angle A from 363, because the 6 is added to the other values. 
363-6=357

Now we have to subtract 109 from 357 because you want to get the x's by themselves. Since you're solving for x. 
357-109=248

That leaves you with 248. Now you add all the x's up to get the total number of x's. You have 10x from angle A, 13x from angle B, and 8x from angle C. 
10x+13x+8x=31x

You get 31x. To get what x is, you divide 248 by 31. 
\frac{248}{31} =8

That equals 8. So now that you know that x equals 8, if you need to find the values of the angles, you just plug in the numbers into the formulas. 

(10(8))+6= 86
(13(8))-2=102
(8(8))-1=63
109

Check your work by plugging your answers in and seeing if they add up to 360. 
86+102+63+109=360

Which they should:)

So...
angle A= 86
angle B=102
angle C=63
angle D=109

and x=8



Hope this helped!!!
4 0
3 years ago
What is the difference between the average and the geometric mean?
sveticcg [70]
The difference between the two is: Your Mom!
3 0
3 years ago
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an
Mrrafil [7]

Answer:

10.14 years

Step-by-step explanation:

The following equation describes the percentage of all eligible voters that are registered to vote as a function of time:

V=100-30e^{-0.04t}

The time 't' for which V(t) = 80 is the amount of years required for the percentage of registered voters to reach 80%:

80=100-30e^{-0.04t}\\\frac{20}{30}= e^{-0.04t}\\ln(\frac{2}{3})=-0.04t*ln(e)\\ t=10.14\ years

It will take 10.14 years until 80% of all eligible voters in your county are registered to vote

8 0
3 years ago
Read 2 more answers
461 divided by 3 place the digit
Gekata [30.6K]
I believe it's 153.. 
3 0
3 years ago
Read 2 more answers
Can someone help me I can't remember how to do ratios
omeli [17]

3 casseroles feeds 15 people

The ratio is 3:15

If you divide each of those by 3, youll find that 1 casserole feeds 5 people

1 : 5 is the ratio.

Divide 30 by 5 = 6

6 casseroles feeds 30 people.

6 : 30

35 divided by 5 = 7

7 casseroles feed 35 people

7 : 35

5 0
3 years ago
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