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Serhud [2]
3 years ago
11

Can u please show the work on how to do the problem 5(6-4v)=v+21

Mathematics
2 answers:
Svetllana [295]3 years ago
6 0
Remember, you can do anything to an equation as long as you do it to both sides
remember the distributive property: a(b+c)=ab+ac

first, distribute

5(6-4v)=5(6)+5(-4v)=30-20v
so we gots

30-20v=v+21
add 20v to both sides
30+20v-20v=20v+v+21
30+0=21v+21
30=21v+21
minus 21 from both sides
30-21=21v+21-21
9=21v+0
9=21v
divide both sides by 21
\frac{9}{21}=\frac{21v}{21}
\frac{3}{7}=v
v=\frac{3}{7}
Minchanka [31]3 years ago
3 0
5(6 - 4v)=v+21
30 - 20v=v+21
30-21=v+20v
9=21v both side divided by 21
9÷21=v
0,428=v
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An electrical heating element produces heat depending on the resistance of the element and the current passed through it. The he
vredina [299]
The heat produced by current I is
H = I²R
where
R =  resistance.
According to the formula, heat produced is proportional to the square of the current.

When a current of I = 2 amps is applied, the heat produced is 
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.

Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)

The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².

The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².

Answer:
The variable current is  10x.
6 0
4 years ago
-5(x+7)&lt;-10<br> solve for x
olga2289 [7]
-5(x+7)<-10.
You need to use the distributive property.
-5x - 35 < -10.
You need to cancel out -35, so you add it to itself, & -10.
-5x < 25.
You need to divide -5 by itself & 25.
x>-5.
3 0
4 years ago
Read 2 more answers
Substitution method. <br> 2x+8y=20 <br> y=2 <br> pls help lol
Shalnov [3]

Hey there!

2x + 8y = 20

2x + 8(2) = 20

2x + 16 = 20

SUBTRACT 16 to BOTH SIDES

2x + 16 - 16 = 20 - 16

CANCEL out: 16 - 16 because it give you 0

KEEP: 20 - 16 because it help solve for the x-value

NEW EQUATION: 2x = 20 - 16

SIMPLIFY IT!

2x = 4

DIVIDE 2 to BOTH SIDES

2x/2 = 4/2

CANCEL out: 2/2 because it give you 1

KEEP: 4/2 because it give you the x-value

NEW EQUATION: x = 4/2

SIMPLIFY IT!

x = 2

Therefore, your answer is: x = 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

5 0
2 years ago
Can somebody who knows this answer all these correct plz thank you!!!!
EleoNora [17]

7. 0.4

8. 0.55

9. 0.125

10. 3.5

11. 11.8

12. 7.625

13. 0.556 rounded nearest 10th = 0.6

14. 0.455 rounded nearest 10th = 0.5

15. 6.714 rounded nearest 10th = 6.7

Hope this helps :)

3 0
3 years ago
1/2 divided by 3/4 = 1/a times b/c = d/e
Vinvika [58]

Step-by-step explanation:

1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6

a = 2

b = 4

c = 3

d = 4

e = 6

6 0
3 years ago
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