Answer:
1. 4; 2. 32; 3. 9; 4. 8; 5. 12; 6. 16; 7. 6; 8. 8; 9. 8; 10. 8
Answer:
no solution
Step-by-step explanation:
5x - 8(x + 5) = 6 - 3x
Remember to follow PEMDAS. Note the equal sign, what you do to one side, you do to the other.
First, distribute -8 to all terms within the parenthesis
-8(x + 5) = (-8)(x) + (-8)(5) = -8x - 40
5x - 8x - 40 = 6 - 3x
Isolate the variable (x). Add 3x & 40 to both sides
5x - 8x (+3x) - 40 (+40) = 6 (+40) - 3x (+3x)
5x - 8x + 3x = 6 + 40
Simplify. Combine like terms
(5x - 8x + 3x) = (6 + 40)
0 = 46 ; False 0 ≠ 46 ∴ no solution is your answer
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The given equation is
m = ak/n
We want to solve for k
The first step is to multiply both sides of the equation by n. We have
m * n = ak/n * n
mn = ak
The next step is to divide both sides of the equation by a. We have
mn/a = ak/a
mn/a = k
k = mn/a
The correct option is the second one
Answer:
Question D.
Pretty simple if you know what the distributive property is. In this equation, you notice 2 fractions outside the parenthesis. This means you must multiply this fraction by every number within its corresponding parenthesis. So, if you distribute the new equation would be
. After this isolate the variable y and solve. I'll leave that to you so you can get something out of it, because my entire explanation would be useless if you just looked at the answer and left, not knowing how to do it in the future. :)
To start, first distribute 8 to (y+11) which would look something like this:
9y=8y+88
Now, subtract 8y from both sides in order to solve for and isolate the y value. This would result in your answer, y=88.