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VARVARA [1.3K]
3 years ago
9

What is the value of a? 14 – 2a = 4a – 16

Mathematics
2 answers:
VladimirAG [237]3 years ago
3 0
14 - 2x = 4a - 16

First, add 2a to both sides. / Your problem should look like: 14 = 4a - 16 + 2a
Second, simplify 4a - 16 + 2a to get 6a - 16. / Your problem should look like: 14 = 6a - 16
Third, add 16 to both sides. / Your problem should look like: 14 + 16 = 6a
Fourth, add 14 + 16 to get 30. / Your problem should look like: 30 = 6a
Fifth, divide both sides by 6. / Your problem should look like: \frac{30}{6}  = a
Sixth, 6 goes into 5 to get 30, so simplify \frac{30}{6} to 5. / Your problem should look like: 5 = a
Seventh, switch your sides. / Your problem should look like: a = 5

Answer: a = 5
fiasKO [112]3 years ago
3 0

14−2a=4a−16

14+−2a=4a+−16

−2a+14=4a−16

Subtract 4a from both sides.

−2a+14−4a=4a−16−4a

−6a+14=−16

Subtract 14 from both sides.

−6a+14−14=−16−14

−6a=−30

Divide both sides by -6.

−6a/−6=−30/−6

a=5

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51°,51°,78°

Step-by-step explanation:

The sum of angles in a triangle add up to 180°

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7th time’s a charm I genuinely just want to understand how to do this :( please! If f(x) is a linear function, what is the value
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Solve the equation -3k+6=15
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Answer:

K= -3

Step-by-step explanation:

-3k+6=15

     -6   -6

-3k=9

/-3  /-3

k=-3

subtract 6 from both sides.

divide each side by -3 to get K alone

-3 is your answer.

8 0
3 years ago
Three dice are rolled. Let the random variable x represent the sum of the 3 dice. By assuming that each of the 63 possible outco
tamaranim1 [39]
<h3>Answer:  1/8</h3>

In decimal form, 1/8 = 0.125 which converts to 12.5%

==================================================

Work Shown:

The 63 should be 6^3. There are 6 choices per slot, and 3 slots, so 6^3 = 216 different outcomes.

Here are all of the ways to add to 11 if we had 3 dice

  1. sum = 1+4+6 = 11
  2. sum = 1+5+5 = 11
  3. sum = 1+6+4 = 11
  4. sum = 2+3+6 = 11
  5. sum = 2+4+5 = 11
  6. sum = 2+5+4 = 11
  7. sum = 2+6+3 = 11
  8. sum = 3+2+6 = 11
  9. sum = 3+3+5 = 11
  10. sum = 3+4+4 = 11
  11. sum = 3+5+3 = 11
  12. sum = 3+6+2 = 11
  13. sum = 4+1+6 = 11
  14. sum = 4+2+5 = 11
  15. sum = 4+3+4 = 11
  16. sum = 4+4+3 = 11
  17. sum = 4+5+2 = 11
  18. sum = 4+6+1 = 11
  19. sum = 5+1+5 = 11
  20. sum = 5+2+4 = 11
  21. sum = 5+3+3 = 11
  22. sum = 5+4+2 = 11
  23. sum = 5+5+1 = 11
  24. sum = 6+1+4 = 11
  25. sum = 6+2+3 = 11
  26. sum = 6+3+2 = 11
  27. sum = 6+4+1 = 11

There are 27 ways to add to 11  using 3 dice. This is out of 216 total outcomes of 3 dice being rolled.

So, 27/216 = (1*27)/(8*27) = 1/8 is the probability of getting 3 dice to add to 11.

7 0
3 years ago
What is the domain and range of f(x)= |x+6|
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as the function is polynomial domain exist for all real number ie (-infinity to + infinity) but range exist (0 to +infinity ) due to modulus negetive range do not exist

4 0
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Read 2 more answers
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