Answer:
2.28 miles
Step-by-step explanation:
1 foot = 0.00019miles
12000 feet = x miles
Cross multiply
x = 12000 x 0.00019
x = 2.28 miles
Answer:
11.666666-repeated on and on
Step-by-step explanation:
but you can probably round to 11.7
Answer:
6:8
6/8 or 3/4
Step-by-step explanation:
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.
Ok, to show that she is incorrect we can use any other number in both equations and they will not be equal. the number she used does turn out equal but that does not mean the equations are equal.
for example
2 times 3=6
3 to the power of 2 is 9
that shows the expressions are not equal
