Answer:
7 chocolate bars will cost $35
Step-by-step explanation:
if 3 cost $15 then 1 bar would cost 5 dollars and 5x7=35
here is a ratio:
<u>3</u> = <u>7</u>
15 = 35
Answer:
21.70
Step-by-step explanation:
First find the discount
31 * 30%
31 *.30
9.3
Subtract from the original amount
31 - 9.3
21.70
ANSWER: x=12
EXPLANATION:
9+x/6=11
(54+x)/6=11 (finding common denominator)
x/6=11-54/6 (rearranging terms)
x/6=(66-54)/6 (finding common denominator so 6 gets cancelled from both the sides)
x=12
Answer:
z = x^3 +1
Step-by-step explanation:
Noting the squared term, it makes sense to substitute for that term:
z = x^3 +1
gives ...
16z^2 -22z -3 = 0 . . . . the quadratic you want
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<em>Solutions derived from that substitution</em>
Factoring gives ...
16z^2 -24z +2z -3 = 0
8z(2z -3) +1(2z -3) = 0
(8z +1)(2z -3) = 0
z = -1/8 or 3/2
Then we can find x:
x^3 +1 = -1/8
x^3 = -9/8 . . . . . subtract 1
x = (-1/2)∛9 . . . . . one of the real solutions
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x^3 +1 = 3/2
x^3 = 1/2 = 4/8 . . . . . . subtract 1
x = (1/2)∛4 . . . . . . the other real solution
The complex solutions will be the two complex cube roots of -9/8 and the two complex cube roots of 1/2.
Answer:
A) zero; cannot
Step-by-step explanation:
In line with the principle of rational expectations, expectation errors are unpredictable. The expectations of all available information will not differ from the optimal projections.The word optimal projection is inexorably intertwined with the best guess in rational expectations theory.
