9. If possible, change each comparison of red paint
to white paint to a percent comparison. If it is
not possible, explain why.
a. The fraction of a mix that is red paint is
b. The ratio of red to white paint in a different
mix is 2 to 5.
10. If possible, change each comparison to a fraction
comparison. If it is not possible, explain why.
a. The nut mix has 30% peanuts.
b. The ratio of almonds to other nuts in the mix is 1 to 7.
These kind of questions are often done incorrectly
9 a) missing information
b) if the ratio of red paint to white paint is 2 : 5
that means there are 2parts red and 5 parts white for a total of 7 parts
so the fraction of the paint which is red is 2/7
and 2/7 (100%) is appr 28.86%
10
a)30% or 30/100 or 3/10 of the mixture is peanuts
b) ratio of almonds to other nuts = 1 : 7
so the percentage of almonds in the mixture = 1/8(100%) = 12.5%
check:
suppose we have a 1000 g mixture
then amount of almonds = .125(1000) = 125 g
then amount of other nuts = 1000-125 = 875 g
so the ratio of almonds : other nuts
= 125 : 875
= 1 : 7
In 1970, the total enrollment in public universities and colleges in a country was 5.7 million students. By 2004, enrollment had risen to 13.1 million students. Assume enrollment can be modeled by exponential growth.
(a) Estimate the total enrollments in 1980, 1990, and 2000. (Round your answers to one decimal place.)
1980 million
1990 million
2000 million
(b) How many years after 1970 until the enrollment doubles from the 2004 figure? (Round your answer to one decimal place.)
years
(c) By what percent is the enrollment increasing each year? (Round your answer to two decimal places.)
%
The fraction of a mix that is red paint 1/4
9. To change the comparison of red paint to white paint to a percent comparison, we need to know the total amount of paint in the mix. Without this information, it is not possible to determine the fraction of the mix that is red paint or the ratio of red to white paint. The comparison provided does not give us enough information to convert it to a percent comparison.
10. To change each comparison to a fraction comparison, we can use the given information:
a. The nut mix has 30% peanuts. To express this as a fraction, we can write it as 30/100 or simplify it to 3/10.
b. The ratio of almonds to other nuts in the mix is 1 to 7. This ratio does not provide information in terms of percentages or fractions. It simply tells us the relative proportion of almonds to other nuts in the mix. Therefore, it is not possible to convert this particular comparison to a fraction comparison.