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Vanyuwa [196]
2 years ago
13

Solve for the value of R. SOMEONE PLEASE HELP ILL GIVE YOU POINTS AND BRAINLIST ANSWER !!!

Mathematics
1 answer:
lord [1]2 years ago
7 0

Step-by-step explanation:

(3r + 4)  + (8r - 2) = 90

3r + 4 + 8r - 2= 90

11r = 88

r =  \frac{88}{11} \\

r = 8

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For the equation 21+3x=3x+k, which value of K will create a false equation with no solution
Nitella [24]

Answer:

OPTION B: K = 15

Step-by-step explanation:

The given equation is: 21 + 3x = 3x + K

Substitute K = 3x

we get: 21 = 3x + 3x + 3x

⇒ 21 + 3x = 6x

⇒ 21 = 3x

This gives the value of x = 7. That means K = 3x gives us a solution. So, OPTION A is eliminated.

Now, K = 15

The equation becomes 21 + 3x = 3x + 15

Subtracting 3x on both the sides, we get:

⇒ 21 + 3x - 3x = 15 + 3x - 3x

⇒ 21 = 15 which can not be correct. So, K = 15 renders the equation meaningless and hence with no solution.

So, OPTION B is the answer.

Note that K = 21 will give the equation with infinitely many solutions.

8 0
3 years ago
1. (x - 2)/ 4 - (3x + 5)/7 = - 3, x = ?
Reika [66]

Answer:

  1. x = 10
  2. B.  3/7

Step-by-step explanation:

1. (x - 2)/ 4 - (3x + 5)/7 = - 3

  7(x -2) -4(3x +5) = -84 . . . . . . . multiply by 28

  7x -14 -12x -20 = -84 . . . . . . . . eliminate parentheses

  -5x -34 = -84 . . . . . . . . . . . . . . collect terms

  -5x = -50 . . . . . . . . add 34

  x = 10 . . . . . . . . . . . divide by -5

__

2. 1/(1 + 1/(1 - 1/x)) = 4

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  -3 = 4/(1 -1/x) . . . . . . . eliminate outer parentheses, subtract 4

  -3(1 -1/x) = 4 . . . . . . . multiply by the denominator

  -3 +3/x = 4 . . . . . . . . eliminate parentheses

  3/x = 7 . . . . . . . . . . . add 3

  x = 3/7 . . . . . . . . . . . multiply by x/7

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3 years ago
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Answer:

Step-by-step explanation:

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