I assume you want to solve this equation for b. If that is the case, merely divide both sides of this equation by 5:
5b = -35
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5 5
Then b = -7 (answer)
Answer:
D
Step-by-step explanation:
The answer is option D.
0.19 * 24 = 4.56
The tip is $4.56
Answer: 1699.5 dollars
Step-by-step explanation:
If Alex makes $31,992 per year, then his monthly income will be
31992/12 = 2666 dollars
and he pays about 15% of his gross monthly income. That is
15/100 × 2666 = 399.9
The remaining money will be
2666 - 399.9 = 2266.1
He should able to afford 25% of his monthly income for rent
25/100 × 2266.1 = 567 dollars
The money left after tax and payment for rent will be
2266.1 - 567 = 1699.5 dollars
Answer:
1 ton = 2000 pounds
1 pound = 16 ounces
Step-by-step explanation:
Answer:
![y=2x-5](https://tex.z-dn.net/?f=y%3D2x-5)
Step-by-step explanation:
Find the slope using the two points:
![\frac{y_{2}-y_{1}}{x_{2}-x_{2}}=slope](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B2%7D%7D%3Dslope)
Insert the coordinate points:
![(3_{x1},1_{y1})\\\\(-1_{x2},-7_{y2})\\\\\frac{-7-1}{-1-3}](https://tex.z-dn.net/?f=%283_%7Bx1%7D%2C1_%7By1%7D%29%5C%5C%5C%5C%28-1_%7Bx2%7D%2C-7_%7By2%7D%29%5C%5C%5C%5C%5Cfrac%7B-7-1%7D%7B-1-3%7D)
Simplify:
![\frac{-7-1}{-1-3} =\frac{-8}{-4} =2](https://tex.z-dn.net/?f=%5Cfrac%7B-7-1%7D%7B-1-3%7D%20%3D%5Cfrac%7B-8%7D%7B-4%7D%20%3D2)
The slope is 2.
Now write an equation using point-slope form:
![y-y_{1}=m(x-x_{1})](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29)
- m is the slope
- x and y are the corresponding coordinate points
Insert:
![(3_{x1},1_{y1})\\\\y-1=2(x-3)](https://tex.z-dn.net/?f=%283_%7Bx1%7D%2C1_%7By1%7D%29%5C%5C%5C%5Cy-1%3D2%28x-3%29)
Simplify and convert to slope-intercept form:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
- m is the slope
- b is the y-intercept
- x and y are the corresponding coordinate points
Use the distributive property:
![y-1=2(x)+2(-3)\\\\y-1=2x-6](https://tex.z-dn.net/?f=y-1%3D2%28x%29%2B2%28-3%29%5C%5C%5C%5Cy-1%3D2x-6)
Add 1 to both sides:
![y-1+1=2x-6+1\\\\y=2x-5](https://tex.z-dn.net/?f=y-1%2B1%3D2x-6%2B1%5C%5C%5C%5Cy%3D2x-5)
:Done