Answer:
1. 33.39
2. 164.29%
3. 6,400
4. X = 4
5. X = 150
Step-by-step explanation:
1. The answer to question number one is 33.39
When you are trying to find a percentage of some number, you turn the percent part (in this case 63%) into it's decimal form, which is 0.63. Then you take that decimal and multiply it by the whole (which is 53.) That is 33.39.
2. The answer to question number 2 is 164.29%.
For this question you can set up an expression :
The question is 23 is what percent of 14. In expression form, using x as the "what percent" part the equation would look like this :
23 = x · 14
The equal sign means "is" and "of" means multiply. So, to solve for x, we divide. 23 divided by 14 is 1.6429, and now you just turn that into a percentage. The answer to this is 164.29%.
3. The answer to question number 3 is 6,400.
This question is really asking 128 is 2% of what? Again, you can turn this into an expression.
128 = 0.02 · x
We need to solve for x, so we divide. 128 divided by 0.02 is 6,400. So the answer to this one (question 3) is 6,400.
4. X = 4
Eight times a number, increased by 6 (which means add 6) is 62. We need to turn this into an algebraic equation to solve. Our mystery number can be "x", so let's try that.
8x + 6 = 62
That is our algebraic equation, now we solve for x.
Subtract 6 on both sides of the equation :
8x + 6 - 6 = 62 - 6
8x = 56
Now that the 6 is gone, you divide by 8 on both sides to get x.
56 divided by 8 is 7. X is 7 for question number 4.
5. X = 150
Again, turn this question into an algebraic equation.
X ÷ 6 = 25
That is the algebraic equation, now you solve for x. We want to get rid of the "divide by 6" part, and the opposite of dividing is multiplying. We multiply that "divide by 6" by 6, so that cancels out. We must multiply by 6 on the other side too, so 25 · 6 is 150. X is 150.
Please comment below if you are confused and want more detail. Good luck!
