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.)
To solve for the total amount that Alice paid for the 3 yards cloth, multiply the cost per yard with the additional 5% to number of yards. 5% of 93 is 4.65. The total cost per yard of cloth is 97.65. Multiplying the total cost with 3 will give 292.95. Thus, Alice paid 292.95 dollars in total.
Answer:
1) 
2) 
Step-by-step explanation:
Assuming that our function is 
for the first case and 
for the second case.
Part 1
We can rewrite the expression like this:
And we can reorder the terms like this:
Now if we apply integral in both sides we got:
And after do the integrals we got:
Now we can use the initial condition 
And the final solution would be:
Part 2
We can rewrite the expression like this:
And we can reorder the terms like this:
Now if we apply integral in both sides we got:
And after do the integrals we got:
Now we can use the initial condition 
And the final solution would be:
Answer:
Step-by-step explanation:
Range from - infinite to - 2
The domain from - infinite to 5
Answer:25/5 or 25/1.
Step-by-step explanation: 125 feet in 5 seconds as a unit rate would be 125/5 or 25/1.
