The data set has no association.
Answer:
A
Step-by-step explanation:
1/2r +1/2= -2/7r -29/7 Subtracting 1/2 from both sides
1/2r +1/2 - 1/2= -2/7r -29/7- 1/2
1/2r = -2/7r - 29(2)-7/14
1/2r = -2/7r -65/14
Answer:
- 12 gallons 84%
- 8 gallons 4%
Step-by-step explanation:
I like to use an "X-diagram" to solve mixture problems. On the left side are the constituents of the mix; in the middle is the result of the mix; and on the right side are the differences between the numbers on each diagonal. These differences are the ratio numbers for the mix.
Here, that means the ratio of 84% solution to 4% solution is ...
48 : 32 = 12 : 8
Note that the last two "ratio numbers" were chosen so their sum is 20, hence they represent the number of gallons of the corresponding constituent in the mix. (The sum of the first two ratio numbers is 48+32=80, so to get a sum of 20, we divide each by 4.)
Mary must use ...
- 12 gallons of 84% acid solution
- 8 gallons of 4% acid solution
You may note that this solution takes much longer to explain than to do. The math here can all be done without a calculator.
_____
<em>Check</em>
12 × 84% + 8 × 4% = 10.40 = 20 × 52%
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<em>Usual Solution</em>
A more conventional approach would be to assign x to the amount of 84% solution needed. Then the number of gallons of acid in the mix is ...
0.84x + 0.04(20 -x) = 0.52(20)
0.80x + 0.8 = 10.4 . . . . simplify
0.80x = 9.6 . . . . . . . . . . subtract 0.8; next, divide by 0.8
x = 9.6/0.8 = 12 . . . . gallons of 84% acid
20-x = 8 . . . . . . . . . . gallons of 4% acid
The expression 3/16 of 200 expression as a percentage is; 6.25%.
<h3>What is the value of 3/16 of 200 written as a percentage?</h3>
The value of the expression given in the task content can be evaluated as follows;
3/16 × 200 = 12.5
Hence, the value 12.5 expressed as a percentage of 200 is;
(12.5/200) × 100%.
= 6.25%.
Read more on percentages;
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It’s letter C.
If you start at point (0,0) and go up two over one (rise over run) to the left, you’ll be at (-1,2). Go up two over one again to the left to get to (-2,4). Your equation would be: y=-2x+0 (0 because you started at 0 so your y-intercept is 0) though since it’s +0 you can leave that out and have y=-2x. It’s a negative slope because the line would be going down to the right.