Answer:
Juliet collect 35 cans
Step-by-step explanation:
Let
x ------> number of cans collected by Juliet
y ------> number of cans collected by Rosana
z ------> number of cans collected by Santiago
we know that
-----> equation A
---->
----> equation B
-----> equation C
Substitute equation B and equation C in equation A and solve for x
![x+(x-10)+2x=130](https://tex.z-dn.net/?f=x%2B%28x-10%29%2B2x%3D130)
Combine like terms
![4x-10=130](https://tex.z-dn.net/?f=4x-10%3D130)
Adds 10 both sides
![4x=130+10](https://tex.z-dn.net/?f=4x%3D130%2B10)
![4x=140](https://tex.z-dn.net/?f=4x%3D140)
Divide by 4 both sides
![x=35\ cans](https://tex.z-dn.net/?f=x%3D35%5C%20cans)
therefore
Juliet collect 35 cans
Answer:
16 square units
Step-by-step explanation:
The area of a triangle is given by the formula ...
A = 1/2bh
Here, it is convenient to choose the base as the vertical segment between y=-5 and y=3. Its length is 3 -(-5) = 8 units.
The height of the triangle is the difference in x-coordinates between that segment and the opposite vertex: 6 -2 = 4.
Then the area is ...
A = 1/2(8)(4) = 16 . . . square units
the x-intercept of the line 3x - 5y = 7. is (7/3,0)