Step-by-step explanation:
for some reason the equation at the top says 7(x+2) but both of the equations at the bottom say 7(x-2)... I'm just going to do 7(x-2)
Emmanuels Work:
7(x-2)=91
distribute the 7 by multiplying both x and -2 by it
7x-14=91
add 14 to both sides
7x=105
divide both sides by 7
x=15
Mauricio's Work:
7(x-2)=91
to get rid of the 7 multiplication, divide both sides by 7
x-2=13
add 2 to both sides
x=15
Here we have to know the conversion between feet and inches.
1 Feet = 12 inches (This is given and is to be known)
So the 5 feet wide footbridge when converted to inches would be about 5*12 = 60 inches
The width of the footbridge in inches = 60 inches
Each wooden plank is 6 inches,
So the number of wooden planks that are required to build the foot bridge of 60 inches = 60/6 = 10 planks
Hence, the path path is 10 planks wide
Answer:
The solution to the system of equations will be:

Step-by-step explanation:
Given the system of equations

Multiply 2x-9y=-36 by 7

so the system of equations becomes

Adding both equations




solve -45y = -270 for y

divide both sides by -45

Simplify

For 14x-63y = -270 plug in y = 6


Add 378 to both sides

Simplify

Divide both sides by 14

Simplify

Therefore, the solution to the system of equations will be:

Answer:
Step-by-step explanation:
you have a special triangle 30-60-90
the ration in this traingle is x, x
, 2x, where 2x is the hypothenuse
the hypothenuse is 12
x=12/2=6
the other leg is 6
=10.39