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:
Step-by-step explanation:
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that a regular dodecagon is a 12 sided regular polygon with each side equal.
We know that measure of each angle of n-sided regular polygon can be found using formula:
Upon substituting in above formula, we will get:
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
Answer:
14 is the simplified answer, but the whole answer is 17 + -18/6
Step-by-step explanation:
Divide
−
18 by 6. h (−18) = 17 − 3 Subtract 3 from 17. h (−18)= 14
The final answer is 14.
Answer:
10 / 9
Step-by-step explanation:
Let's suppose the other fraction is x. We are given 3 / 5 * x = 2 / 3
We can divide by 3 / 5 on both sides, which is the same as multiplying 5 / 3 on both sides:
5 / 3 * 3 / 5 * x = 2 / 3 * 5 / 3
This simplifies to:
x = 10 / 9
Answer:(5,3)
Step-by-step explanation:
solve for the first variable in one of the equations then substitute the result into the other equation
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