Answer:
I'll setup the problem, then you can do the calculations
Step-by-step explanation:
Perimeter = 2width(W) + 2length (L)
Area = LW
L = 2.5 + 2W
LW = 62.5
substitute L in equation for area
a = 2; b = 2.5; c = 62.5
send a comment if you have a question
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:
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.)
Answer:
Both will be at the same page after 6.5 days and the page number will be 180.
Step-by-step explanation:
Let after x days Nora and Lila will be at the same page.
Nora is on page 128 and plans to read 8 pages per day until the next club meeting.
After x days Nora will be at the page number = 128 + 8x
Similarly, Lila is on page 102 and she reads 12 pages per day.
After x days Lila will be on page number = 102 + 12x
Since after x days they will be at the same page
Therefore, 128 + 8x = 102 + 12x
12x - 8x = 128 - 102
4x = 26
x =
x = 6.5 days
Page number they will be on = 128 + 8(6.5)
= 128 + 52
= 180
Both will be at the same page after 6.5 days and the page number will be 180.