Answer:
Sheila had $300 at first
Step-by-step explanation:
Given that:
Sheila spent:
for coat = $120
Let the original money be x so,
dress for = $(2/3(x - 120 ))
Now she left with = 1/5x
Now by adding all the amounts we get the original amount x:
x = 120 + (2/3(x - 120)) + 1/5x
By simplifying:
x = 120 + 2/3x - 240/3 + 1/5 x
adding like terms:
x = 120 - 80 + 2/3*5/5x + 1/5*3/3x
x = 40 + (10+3)x/15
x = 40 + 13x/15
x - 13x/15 = 40
Taking LCM
(15x - 13x)/15 = 40
2x/15 = 40
Multiply both sides by 15/2
x = 40*15/2
x = $300
so Sheila had $300 at first
i hope it will help you!
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.
Answer:
attached below
Step-by-step explanation:
d(x)=|x| -4
x≥0 d(x) = x -4
x<0 d(x) = -x -4
Answer: I believe it is c let me know if I’m wrong so I can fix it
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
7+2 = 9
9+2 = 11
11+2 = 13
So, it's an Arithmetic sequence with a common difference of 2
