Answer:
First one: x = 3, and y = 2
Second: 5
Third: Yes because he will have $37.50
Fourth: The numbers 2.5 and 3 will make it true
Step-by-step explanation:
1. 4(3) + 2(2) + 3 = 12 + 4 + 3 = 19
2. 4x + 2 = 22, 4x = 20, x = 5
3. 2.25y + 7.25z + 11.25, 2.25(2) + 7.25(3) + 11.25 = 4.5 + 21.75 + 11.25 = 37.5
He will get $37.50, which is enough.
4. The numbers 2.5 and 3 will make it true: 2(2.5) + 3 = 5 + 3 = 8, 2(3) + 3 = 6 + 3 = 9, the numbers below it won't make it true.
Answer:
-71
Step-by-step explanation:
let 'n' = a number
2(143 + 2n) = 0n + 2
2(143 + 2n) = 2
143 + 2n = 1
2n = -142
n = -71
Answer:
Yes, the relationship can be described by a constant rate of $18.75 per dog
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x ----> the number of dogs
y ---> the amount of money earned
we have the points
![(6,112,50), (8,150), (11,206.25)](https://tex.z-dn.net/?f=%286%2C112%2C50%29%2C%20%288%2C150%29%2C%20%2811%2C206.25%29)
step 1
Find the slope with the first and second point
![(6,112,50), (8,150)](https://tex.z-dn.net/?f=%286%2C112%2C50%29%2C%20%288%2C150%29)
![m=(150-112.50)/(8-6)=18.75](https://tex.z-dn.net/?f=m%3D%28150-112.50%29%2F%288-6%29%3D18.75)
step 2
Find the slope with the first and third point
![(6,112,50), (11,206.25)](https://tex.z-dn.net/?f=%286%2C112%2C50%29%2C%20%2811%2C206.25%29)
![m=(206.25-112.50)/(11-6)=18.75](https://tex.z-dn.net/?f=m%3D%28206.25-112.50%29%2F%2811-6%29%3D18.75)
Compare the slopes
The slopes are the same
That means, that the three points lies on the same line
therefore
Yes, the relationship can be described by a constant rate of $18.75 per dog
c=8
Step-by-step explanation:
13-5=c, c=8
Answer:
x + 3
Step-by-step explanation:
Given
(8x - 6) - (7x - 9)
Distribute the first parenthesis by 1 and the second by - 1
= 8x - 6 - 7x + 9 ← collect like terms
= x + 3