The answer is D) (-1,0) and (0,6). when you solve by substitution, all you need to do is solve for the variable in one equation and plug the answer into the other equation.
Answer:
Yellow Paint: 0.44736842105%
Red Paint: 0.19736842105%
Water: 0.35526315789%
Step-by-step explanation:
Yelow:
30 x 0.3 = 9
8 + 9 = 17
30 + 8 = 38
17/38 = 0.44736842105%
Red:
30 x 0.25 = 7.5
7.5/38 = 0.19736842105%
Water:
30 x 0.45 = 13.5
13.5/38 = 0.35526315789%
C the point would lie on the x axis and c is the only one that does
The sequences with a common ratio of 1/4 are:
512, 128, 32, 8, ...
256, 64, 16, 4, ...
320, 80, 20, 5, ...
768, 192, 48, 12, ...
560, 140, 36, 9, ...
The others have a common ratio of 4.
The common ratio is found by dividing the second term by the first term. For instance, in the first sequence, we would have 28/7 = 4. In the second sequence, we have 128/512 = 1/4.
Answer:
b = 10
Step-by-step explanation:
a) Solve by inspection. b=10 makes both fractions equal to 1.
Both the numerator and denominator of the fraction on the right are 2 greater than those of the fraction on the left. The fractions will be equal when numerator and denominator are equal.
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b) Multiply by 60 and solve in the usual way.
6b = 5(b+2)
b = 10 . . . . . . . . . . subtract 5b
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c) Expand the fraction on the right, subtract the variable term.
b/10 = b/12 + 2/12
b(1/10 - 1/12) = 1/6
b/60 = 1/6 . . . . simplify
b = 60/6 = 10 . . . . multiply by 60
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<em>Comment on the question</em>
There is no "y", so you cannot solve for y. This is another example of poor quality control (editing) of math curriculum materials. It is my sincere wish that you not have to put up with that. Math is tough enough without this added confusion.