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lesya692 [45]
4 years ago
12

One-half of the sum of a number and 6 is less than 25. What is the number

Mathematics
1 answer:
Leno4ka [110]4 years ago
4 0

Answer:

44

Step-by-step explanation:

1/2(n + 6) < 25         Distribute

1/2n + 3 < 25

       - 3     - 3           Subtract 3 from both sides

1/2n < 22                  Multiply both sides by 2 or divide by 1/2

n < 44

If this answer is correct, please make me Brainliest!

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Use the drop-down menus to choose steps in order to correctly solve 5(z + 6) – 2 = 9z for z.
shusha [124]
Solve for z:
5 (z + 6) - 2 = 9 z

5 (z + 6) = 5 z + 30:
5 z + 30 - 2 = 9 z

Add like terms. 30 - 2 = 28:
5 z + 28 = 9 z

Subtract 9 z from both sides:
(5 z - 9 z) + 28 = 9 z - 9 z

5 z - 9 z = -4 z:
-4 z + 28 = 9 z - 9 z

9 z - 9 z = 0:
28 - 4 z = 0

Subtract 28 from both sides:
(28 - 28) - 4 z = -28

28 - 28 = 0:
-4 z = -28

Divide both sides of -4 z = -28 by -4:
(-4 z)/(-4) = (-28)/(-4)

(-4)/(-4) = 1:
z = (-28)/(-4)

The gcd of 28 and -4 is 4, so (-28)/(-4) = (-(4×7))/(4 (-1)) = 4/4×(-7)/(-1) = (-7)/(-1):
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(-7)/(-1) = (-1)/(-1)×7 = 7:
Answer:  z = 7
5 0
3 years ago
Read 2 more answers
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