Add all and divide by how many there is
answer is 5.08
Answer:
Infinite number of solutions.
Step-by-step explanation:
Y=5x+1
-5x+Y=1
substitute value of y in first equation (5x+1) into 2nd equation
-5x+5x+1=1
0+1=1
1=1
since answer equals on both sides of the equatio, the answer is determined to be infinite.
The number of $5 notes is 10 and $50 notes is 6
Step-by-step explanation:
Let x be the number of $5 notes
and
y be the number of $50 notes
Then according to given statements
"The total number of notes used was 16."
x+y=16 Eqn 1
"A restaurant bill of $350 was paid using $5 notes and $50 notes."
5x+50y=350 Eqn 2
![From\ Eqn\ 1\\x+y=16\\y=16-x\\Putting\ y=16-x\ in\ equation\ 2\\5x+50(16-x)=350\\5x+800-50x=350\\-45x+800=350\\Subtracting\ 800\ from\ both\ sides\\-45x+800-800=350-800\\-45x=-450\\Dividing\ both\ sides\ by\ -45\\\frac{-45x}{-45}=\frac{-450}{45}\\x=10](https://tex.z-dn.net/?f=From%5C%20Eqn%5C%201%5C%5Cx%2By%3D16%5C%5Cy%3D16-x%5C%5CPutting%5C%20y%3D16-x%5C%20in%5C%20equation%5C%202%5C%5C5x%2B50%2816-x%29%3D350%5C%5C5x%2B800-50x%3D350%5C%5C-45x%2B800%3D350%5C%5CSubtracting%5C%20800%5C%20from%5C%20both%5C%20sides%5C%5C-45x%2B800-800%3D350-800%5C%5C-45x%3D-450%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%20-45%5C%5C%5Cfrac%7B-45x%7D%7B-45%7D%3D%5Cfrac%7B-450%7D%7B45%7D%5C%5Cx%3D10)
Putting x=10 in equation 1
![10+y=16\\y=16-10\\y=6](https://tex.z-dn.net/?f=10%2By%3D16%5C%5Cy%3D16-10%5C%5Cy%3D6)
So,
The number of $5 notes is 10 and $50 notes is 6
Keywords: Linear Equations, Variables
Learn more about linear equations at:
#LearnwithBrainly
Answer: 4.15 units
Explanation:
1) You must find the solution to this system:
y = -0.3x² + 3x
-2x + 5.5y = 19.5
2) replace y from the first equation into the second equation:
-2x + 5.5 [-0.3x² + 3x] = 19.5
3) use distributive property: -2x - 1.65x² + 16.5x = 19.5
4) combine like terms: - 1.65x² + 14.5x = 19.5
5) transpose terms: 1.65x² - 14.5x + 19.5 = 0
6) use quadratic formula to find the solution:
x ≈ 1.66 and x ≈ 7.13.
To find which is the lower point, you replace the two values and find which has smaller y value:
y = -0.3x² + 3x
x = 1.66 ⇒ y = -0.3(1.66)² + 3(1.66) = 4.15
x = 7.13 ⇒ y = -0.3(7.13)² + 3(7.13) = 6.14
Therefore, the answer is y = 4.15.