Answer:
Randall=68 pounds, Seth's=40, Joanna's=52
Step-by-step explanation:
Randall's = 3x-7
Seth's = 2x-10
Joanna's = 2x+2
Randall's + Joanna's = 3 (Seth's)
Find X:
- Form into an equation (add parentheses)
- (3x-7) + (2x+2) = 3 (2x-10)
- REmove parentheses on left side
- 3x-7+2x+2 = 3 (2x-10)
- Distribute right side
- = 6x-30
- 3x-7+2x+2 = 6x-30
- Combine like terms
- 5x-5=6x-30
- subtract 5x from BOTH sides (always subtract, add, multiply, and divide both sides at the same time)
- -5=x-30
- Add 30 to BOTH sides
- 25=x
Find how many pounds of trash each friend picked up:
Randall's:
- 3x-7
- plug in x
- 3(25)-7
- Distribute
- 75-7
- = 68
Seth's:
- 2x-10
- 2(25)-10
- 50-10
- = 40
Joanna's:
- 2x+2
- 2(25)+2
- 50+2
- =52
Double check your answers:
Randall's+Joanna's= Seth's(3)
68+52=40(3)
120=120
You're good to go!
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 1 ← is in slope- intercept form
with slope m = 5
Rearrange 2y - 10x + 3 = 0 into this form
Add 10x to both sides
2y = 10x ( subtract 3 from both sides )
2y = 10x - 3 ( divide all terms by 2 )
y = 5x -
← in slope- intercept form
with slope m = 5
Since both lines have a slope of 5 then they are parallel.
Is it multiple choice? If not I would say 215=5(x)-29
Answer:
Component form of the vector will be (-1, 2).
Step-by-step explanation:
When
translates to
vector V formed after the translation will be,
V = ![](https://tex.z-dn.net/?f=%3C%28x_2-x_1%29%2C%20%28y_2-y_1%29%3E)
If we draw this vector on a graph,
Vector will start from origin and the terminal point will be at ![[(x_2-x_1), (y_2-y_1)]](https://tex.z-dn.net/?f=%5B%28x_2-x_1%29%2C%20%28y_2-y_1%29%5D)
Therefore, component form of the vector that translates from P(-3, 6) and P'(-4, 8) will be,
V = ![](https://tex.z-dn.net/?f=%3C%28-4%2B3%29%2C%288-6%29%3E)
V = ![](https://tex.z-dn.net/?f=%3C%28-1%2C2%29%3E)
Answer: I believe that the answer is all of the above
Step-by-step explanation: