First substitute .5x in for y to get a solvable equation. You should get 6x+8(.5x)=30. Then multiply 8 times .5 to get 6x+4x=30. Then combine like terms (6x+4x) to get 10x=30 and divide both sides by 10 to get x=3. Then plug this x value (3) into the other equation (y=.5x) to find the value of y. Y=.5(3) so y=1.5. Therefore the answer is B.
Answer:
From what we know about percentages and unit rates, the correct options are:
1) 100
2) 1
What is a percent?
Suppose we have an amount A, this would be the 100%.
If we want to know how much a quantity B represents, compared to A, we have:
A = 100%
B = x
where x is a percentage, to find the value of x we compute:
x = (B/A)*100%
While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100
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Answer:
4. a) kilometer
b) liter
5. a) gram
b) meter
I'm not totally sure if I'm right
Answer:
Correct
Step-by-step explanation:
E = some event
C = complement of event E
Since the events are complementary, this means P(E)+P(C) = 1
We know that P(E) = 3*P(C) since "an event is three times as likely as its complement"
So we can replace P(E) with 3*P(C) and then isolate P(C)
P(E) + P(C) = 1
3*P(C) + P(C) = 1
4*P(C) = 1
P(C) = 1/4
The probability of the complementary event is 1/4
So the probability of the original event is 3/4 (three times 1/4)
Answer: 3/4
note: in decimal form, 3/4 = 0.75
