90+(3x-14)+x=180
(3x-14)+x=90
3x+x=104
4x=104
x=26
When you multiply/divide by a negative number while solving the inequality, you reverse the symbol.
A.) 4(5 - y) ≥ 80 To solve this, isolate/get the variable "y" by itself in the inequality. Divide 4 on both sides

5 - y ≥ 20 Subtract 5 on both sides
5 - 5 - y ≥ 20 - 5
-y ≥ 15 Divide -1 on both sides to get "y" by itself
Because you are dividing by a negative number, you need to reverse the sign
y ≤ -15
B.) 2(y - 3) ≥ 8 Isolate "y", divide 2 on both sides
y - 3 ≥ 4 Add 3 on both sides to get "y" by itself
y ≥ 7
C.) 3y - 4 > 1 Add 4 on both sides
3y > 1 Divide 3 on both sides to get "y" by itself

D.)
Isolate "y", add 3/4 on both sides
6y > 1 Divide 6 on both sides to get "y" by itseld

Answer:
Length of the roof line is
. And depth of the shed is 
Step-by-step explanation:
Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at 30° angle from the front wall.
Let
be the length of the roof line. And
the depth of the shed.
We can see it is a right angle triangle with opposite
(see the attachment)
Now,

Also,

So, Length of the roof line is
. And depth of the shed is 
Answer:
s≤4 cm.
Step-by-step explanation:
Let s be side of cube.
As we know that the volume of cube=side×side×side
Here, it is given that the volume of cube = 64 cubic centimeters.
or we can write
side×side×side=64 cubic centimeters
Taking cube root both sides
side= 4 cm
In order to build a cube with a minimum of 64 cubic centimeters,
we can take the value of s≤4 cm.
Hence, the reasonable range for s, the side length is s≤4 cm.
Answer:
There it gose
Step-by-step explanation: