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scoundrel [369]
3 years ago
11

4x-10=30 2n-7=30 S/3+2=4

Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

Answer:

x=10 n=18.5 s=6

Step-by-step explanation:

4x-10=30

Add 10 to both sides

4x-10+10=30+10

4x=40

Divide by 4 on both sides

(4x)/4=40/4

x=10

2n-7=30

Add 7 to both sides

2n-7+7=30+7

2n=37

Divide by 2 on both sides

(2n)/2=37/2

n=18.5

(s/3)+2=4

Subtract 2 from both sides

(s/3)+2-2=4-2

(s/3)=2

Multiply by 3 on both sides

3s/3=2*3

s=6

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Answer:

11.7647059 % gain

Step-by-step explanation:

To find the gain, take the new amount and subtract the original amount

9500-8500 = 1000

Divide by the original amount

1000/8500=.117647059

Multiply by 100% to get in percent form

11.7647059 % gain

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3 years ago
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3 years ago
Factor completely 81x8 − 1. (9x4 − 1)(9x4 + 1) (3x2 − 1)(3x2 + 1)(9x4 − 1) (3x2 − 1)(3x2 + 1)(9x4 + 1) (3x2 − 1)(3x2 + 1)(3x2 +
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Answer:

(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Step-by-step explanation:

Using the identity for the difference of 2 squares;

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we put a^2 = 81x^8 and b^2 = 1  giving

a = 9x^4 and b = 1, so:

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2 years ago
The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?
Kobotan [32]

Answer:

The equation which expresses the ratio of the circumference to the diameter of a circle is  \frac{C}{30}=\pi ⇒ D

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

\frac{C}{d}=\pi , where

  • C is the circumference of the circle
  • d is the diameter of the circle

∵ The circumference of the circle is C

∵ The radius of the circle is 15 units

∴ r = 15 units

- Find the diameter of the circle

∵ The diameter of the circle d = 2 r

∴ d = 2(15) = 30 units

∴ The diameter of the circle is 30 units

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∵ d = 30 units

∴ \frac{C}{30}=\pi

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6 0
3 years ago
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