Answer:
m = 16
Step-by-step explanation:
2(4m - 5) - (6m - 11) = 33 (Given)
8m - 10 - 6m + 11 = 33 (Distribute)
2m + 1 = 33 (Combine like terms)
2m = 32 (Subtract 1 on both sides)
m = 16 (Divide 2 on both sides)
You can check by substituting your answer into the equation:
2(4(16) - 5) - (6(16) - 11) = 33
2(64 - 5) - (96 - 11) = 33
2(59) - (85) = 33
118 - 85 = 33
33 = 33
Answer:
The value of x is -6
Step-by-step explanation:
Let us equate the fraction by its equivalent
∵
= -22
→ Multiply both sides by (x - 10) to cancel the denominator of the left side
∴
× (x - 10) = -22 × (x - 10)
∴ 352 = -22(x - 10)
→ Simplify the right side by multiplying -22 by the bracket (x - 10)
∵ 352 = -22(x) - 22(-10)
∴ 352 = -22x + 220
→ Add 22x to both sides
∵ 22x + 352 = -22x + 22x + 220
∴ 22x + 352 = 220
→ Subtract 352 from both sides
∴ 22x + 352 - 352 = 220 - 352
∴ 22x = - 132
→ Divide both sides by 22 to find x
∴ 
∴ x = -6
∴ The value of x is -6
Answer:
-12, -11, 4, 12
Step-by-step explanation:
A negative number is less the higher it is, and a positive number is more the higher it is
The GCF of 12, 21, and 30 is 3.
The factors of 12 are: 1, 2, 3, 4, 6, 12
<span>The factors of 21 are: 1, </span>3, 7, 21
<span>The factors of 30 are: 1, 2, </span>3, 5, 6, 10, 15, 30
<span>Then the greatest common factor is 3.
</span>
The GCF of 11, and 44 is 11.
The factors of 11 are: 1, 11
The factors of 44 are: 1, 2, 4, 11, 44
Then the greatest common factor is 11.
Hope this helps.