Answer:
Step-by-step explanation:
Scale factor:
1:2
a. Factorize the denominator:
Then we're looking for such that
If , then ; if , then . So we have
as required.
b. Same setup as in (a):
We want to find such that
Quick aside: for the second term, since the denominator has degree 2, we should be looking for another constant such that the numerator of the second term is . We always want the polynomial in the numerator to have degree 1 less than the degree of the denominator. But we would end up determining anyway.
If , then ; if , then . Expanding everything on the right then gives
which tells us and ; in both cases, we get . Then
as required.
The number is either 14 or 28. This is because 1x4=4 and 2x4=8
Answer:
a. 15L will last the cafe 3 days if they're using 4L every day
b. 15L will last them 7 days if they're using 2L every day
Step-by-step explanation:
division.
Answer:
58.5 mg
Step-by-step explanation:
Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5
So, this new drink has 58.5 mg of vitamin