Answer:
Collette had 6 manicures done last year.
Step-by-step explanation:
Since Collette's mom has 67% more manicures than Collette (2 more for every 3), and that difference represented 4 manicures in total, then:
let x be the number of manicures that Collette had during last year.
4 / x = 2/3
2x = 12
x = 6
Answer:
14
f(x) = 7
-7^2 + 9(7)= -49 + 63 = 14
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and ![y_{m} = \frac{y_{1} + y_{2} }{2}](https://tex.z-dn.net/?f=y_%7Bm%7D%20%20%3D%20%5Cfrac%7By_%7B1%7D%20%2B%20y_%7B2%7D%20%20%7D%7B2%7D)
where
and
= coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 =
and -1 = ![\frac{1 + y_{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B%20y_%7B2%7D%20%7D%7B2%7D)
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3
Your equation should be 1.50x + 13 = 35.50
first, subtract 13 from both side leaving you with 1.50x = 22.50
now divide 1.50 from both sides
x = 15 (greatest number of rides)