Answer:
16/35
Step-by-step explanation:
Add up all of your marbles. 16 + 8 + 11 = 35. 16/35.
Answer:
y = 3x + 7.
To graph the line mark off the 2 points and draw a line through them.
Step-by-step explanation:
The slope = (-2-7) / (-3-0)
= -9/-3
= 3.
The value of b is found using the point-slope form of a line:
y - y1 = m(x - x1)
using m = 3, (x1, y1) = (0, 7):
y - 7 = 3(x - 0)
y = 3x + 7.
Answer:
x = 17 $20 bills
y = 30 $5 bills
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Multivariable Systems
Step-by-step explanation:
<u>Step 1: Define variables</u>
x = # of $20 bills
y = # of $5 bills
<u>Step 2: Set up systems of equations</u>
<u />
<u />
<u />
<u>Step 3: Solve for </u><em><u>x</u></em>
- Rewrite:
![\left \{ {{y=47-x} \atop {20x+5y=490}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7By%3D47-x%7D%20%5Catop%20%7B20x%2B5y%3D490%7D%7D%20%5Cright.)
- Substitute:
![20x+5(47-x)=490](https://tex.z-dn.net/?f=20x%2B5%2847-x%29%3D490)
- Distribute 5:
![20x+235-5x=490](https://tex.z-dn.net/?f=20x%2B235-5x%3D490)
- Combine like terms:
![15x+235=490](https://tex.z-dn.net/?f=15x%2B235%3D490)
- Subtract 235 on both sides:
![15x=255](https://tex.z-dn.net/?f=15x%3D255)
- Divide both sides by 15:
![x=17](https://tex.z-dn.net/?f=x%3D17)
By solving for <em>x</em>, we now know that we have 17 $20 bills.
<u>Step 4: Solve for </u><em><u>y</u></em>
- Define: x + y = 47
- Substitute: 17 + y = 47
- Subtract 17 on both sides: y = 30
Now we know that we have 30 $5 bills.