Answer:
in five years.
Step-by-step explanation:
I'm not good at explaining this but you can keep adding years to your equation until you get the answer to be 3. For example your starting equation is 85/25 which = 3.4 years, you can keep going like 86/26 = 3.3 years, 87/27 =3.2 years until you get to 3. When the terracotta bust is 90 years old and the marble bust is 30, it will be three times as old. (90/30 is simplified to 9/3 then to 3.)
15 percent of 760 is 114
760 - 114 = 646
Hope this helps :D
Answer:
[See Below]
Step-by-step explanation:
Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).
So we work out the sum of missing fractions: ![\frac{1}{12} + \frac{1}{4} = \frac{1}{12} + \frac{3}{12} = \frac{4}{12} = \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B1%7D%7B12%7D%20%2B%20%5Cfrac%7B3%7D%7B12%7D%20%3D%20%5Cfrac%7B4%7D%7B12%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
And so we know the fractions in the missing boxes must add up to
.
This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so
.
So if there are 24 beads in the bag, then the red beads are 1/12th of 24 which is 2 and the other beads are 1/4 of 24 which is 6.
Finally to complete the missing fractions: there are 12 blue beads and 24 in total so the fraction of blue beads is 12/24 = 1/2. Similarly, there are 4 green beads so the fraction of green beads is 4/24 = 1/6.
(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)