Answer:
x= - 1/35. I'm pretty sure this is right.
Step 1
<u>First situation</u>
when a ladder is leaning against a wall
Let
x-------> the distance of the bottom of the ladder from the wall
L-------> the length of the ladder
<u>Find the length of the ladder</u>
Applying the Pythagorean Theorem
------> equation 
Step 2
<u>Second situation</u>
when the ladder will be lying flat on the ground
<u>Find the length of the ladder</u>
In this situation the length of the ladder is equal to

square both sides
------> equation 
Step 3
equate equation
and equation 

therefore
<u>the answer is</u>
the length of the ladder is 
see the attached figure to better understand the problem
Hello from MrBillDoesMath!
Answer: 1/12
Discussion:
We solve 5/12 + x = 1/2 for x. Begin by subtracting 5/12 from each side
5/12 - 5/12 + x = 1/2 - 5/12
0 +x = 6/12 - 5/12 (as 1/2 = 6/12)
So x = 1/12
Regards, MrB
5 shirts for $21
the 6 deal would be $4.25 for each shirt
4 deal would be $4.50 for each shirt
and the 5 deal is the cheapest because its $4.20 for each shirt
A = fruit juice 40%
B= 90% juice
then
30 gallons + A = 55• C/100
30 gallons + N • (40/100) = (30 + N)• (55/100)
Now solve this equation, for N
3000 + 40N = (30+N) •55
then
3000 - 1650 = 55N - 40 N = 15N
1350 = 15 N
then
N= 1350/15 = 90
Then answer is
Should be mixed 90 gallons of 40% fruit punch