We use the Pythagorean theorem here, because we have the two sides and a right angle between them, so we calculate the hypotenuse like this:
x^2 = 6^2 + 8^2
x^2 = 36 + 64
x^2 = 100
x = square root of 100
x = 10
The correct answer is B.10.
678899_778886282882
Step-by-step explanation:
hehw
9514 1404 393
Answer:
18.98 pounds
Step-by-step explanation:
Let 'e' represent the number of pounds of expensive candy Ellen should use. Then 27-e is the number of pounds of less expensive candy. Her total cost is ...
1.45(27 -e) +3.74e = 27(3.06)
(3.74 -1.45)e = 27(3.06 -1.45) . . . . subtract 1.45(27)
e = 27(3.06 -1.45)/(3.74 -1.45) = 27(1.61/2.29) ≈ 18.98
Ellen should use about 18.98 pounds of the expensive candy.
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<em>Additional comment</em>
We showed the solution this way because it is the generic solution to any mix problem. The fraction of the mix that is the highest-value contributor is the ratio of the difference between the mix value and the lowest contributor to the difference between contributors. Here, that fraction is ...
(3.06 -1.45)/(3.74 -1.45) = (1.61/2.29)
