Box = b
Parrots = p
b/p = number of days it can support the parrots
Half a dozen = 6 (A dozen is 12)
1/6 = 15
To work out the percentage of '6' '5' is, use the equation
(5/6)*100 = 83.333....
Meaning that with one less bird, the box will support the birds for 16.666... (100 - 18.333...) longer
(15/100)*116.666... = 17.4999....
The box will sustain the parrots for 17.5 days
Answer:
Step-by-step explanation:
Let h bet the # of hours worked
If Cynthia earns $13 per hour then her equation would be:
C = $13h
If Amy makes $1.5 more per hour then her equation would be:
A = $14.5x
Now lets plug in some numbers:)
A = $14.5(43.5)
A = $630.75
Answer:
Step-by-step explanation:
To find Carys' earnings in one hour, fill in h=1 in the formula:
E = 10·1 = 10
Carys earns 10 dollars per hour.
__
To find the number of hours required to earn 1 dollar, fill in E=1 in the formula:
1 = 10h
0.1 = h . . . . . divide by 10
It takes 0.1 hours for Carys to earn 1 dollar.
There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
