Answer:
- 273 mL of 5%
- 117 mL of 15%
Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
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<em>Additional comment</em>
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
The scale factor is what u multiply the first image by to get the second image. So by dividing the second image by the first image will give u the scale factor.
6 / 1.5 = 4....so there is a scale factor of 4 because 1.5 * 4 = 6
Answer:
(2x-1)(2x+1)
Step-by-step explanation:
the answer is c
Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
7 + 11x + 60 = -13 + 3x
Step 2: Solve for <em>x</em>
- Combine like terms: 11x + 67 = -13 + 3x
- Subtract 3x on both sides: 8x + 67 = -13
- Subtract 67 on both sides: 8x = -80
- Divide both sides by 8: x = -10
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
7 + 11(-10) + 60 = -13 + 3(-10)
67 - 110 = -13 - 30
-43 = -43
