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kaheart [24]
3 years ago
11

1/2s=4s-21 please show steps

Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

s = 6

Step-by-step explanation:

Goal is to isolate the variable (s)

1/2s = 4s - 21

Subtract 4s from both sides - this cancels out the 4s on the right side and moves it to the left side

1/2s - 4s = -21

To add or subtract fractions, they must have a common denominator

Convert 4s to a fraction over 2

1/2s - 8/2s = -21

Subtract the numerators and keep the denominators

-7/2s = -21

Remember the goal is to isolate the variable

In order to get rid of the -7/2, we multiply by its reciprocal (which is -2/7)

What we do to one side, we must do to the other (this means multiply by -2/7 on both sides

-7/2s × -2/7 = -21 × -2/7

s = -21 × -2/7

Negative × negative = positive

s = 42/7

Divide 42 by 7

s = 6

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What is X ? <br> 9(x−1)−8x=−3(x+5).
musickatia [10]

Answer:

x = - 3 / 2 ( in decimal form = - 1.5)

Step-by-step explanation:

9(x - 1) - 8x = -3(x + 5)

left side: 9(x - 1) - 8x

Expand... 9x - 9 - 8x

             = (9x - 8x) - 9

             = 1x - 9 or <em>x - 9</em>

right side: -3(x + 5)

Expand... <em>-3x - 15</em>

         

combine :

x - 9 = -3x - 15

Add 9 to both sides to get x alone

x - 9 + 9 = -3x - 15 + 9

x = -3x - 15 + 9

x = -3x - 6

Add 3x to both sides

x + 3x  = -3x - 6 + 3x

simplified, 4x = -6

Now divided 4 from both sides

4x / 4 = -6 / 4

simplify, x = -6 / 4

You can reduce the fraction by dividing it by 2

(-6 / 2) / (4 / 2) = -3 / 2

Hope this helps, Let me know if you have any questions !

Have a nice day :)

5 0
2 years ago
The radius of a circle is 18 yards. What is the circle's area?<br> Use 3.14 for ​.
IrinaVladis [17]

Solution:

<u>We know that:</u>

  • Radius: 18 yards
  • πr² = Area of circle
  • π = 3.14

<u>Finding the area of the circle:</u>

  • (π)(r²) = Area of circle
  • => (3.14)(18²) = Area of circle
  • => (3.14)(324) = Area of circle
  • => Area of circle = 3.14 x 324 = 1017.36 yards²
3 0
2 years ago
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(If this question is easy, I am just horrible with percentages, lol :p)
Sati [7]
55% of 20 is 11. the answer is 20
5 0
3 years ago
7)
saul85 [17]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
What is 4.16 repeating as a fraction
strojnjashka [21]
4.16=416/100
416/100=4•104/4•25
=104/25
4.16=104/25
8 0
3 years ago
Read 2 more answers
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