20+0.15x = 35+0.10x
0.15x=15+0.10x
0.05x=15
x= 15/0.05
x= 300minutes
check:
300*.015 = 45+20=65
300*0.10 = 30 + 35 = 65
they equal
so number of minutes would be 300
<u>Answer:</u>
![f(x) = x^2 , x < 2](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20x%5E2%20%2C%20x%20%3C%202%20)
![f(x) = 5, 2\leq x < 4](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%205%2C%202%5Cleq%20x%20%3C%204%20)
<u>Step-by-step explanation:</u>
We have a parabola and a small line shown in the graph.
The parabola goes upto x = 2 but does not reach that very value. So x = 2 starts on the line above where x = 2 and ends just before x = 4.
Therefore, this function can be modeled by:
![f(x) = x^2 , x < 2](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%20x%5E2%20%2C%20x%20%3C%202%20)
![f(x) = 5, 2\leq x < 4](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%205%2C%202%5Cleq%20x%20%3C%204%20)
Answer:
1650
Step-by-step explanation:
2200*.25=1650 sale price
Answer:
24,150
Step-by-step explanation:
Given that :
Salary earned this year = 23,000
Percentage Raise in salary for the new year = 5%
The new yearly salary can be obtained thus ;
(100% + percentage raise in salary) * salary earned this year
(100% + 5%) * 23,000
105% * 23000
1.05 * 23000
24,150
Answer:
See below.
Step-by-step explanation:
a.
x = cost of adult ticket
y = cost of student ticket
cost of adult ticket is twice the cost of a student ticket
x = 2y
number of adult tickets = 64
number of student tickets = 132
cost of all adult tickets = 64x
cost of all student tickets = 132y
cost of all adult and student tickets combined: 64x + 132y
cost of all adult and student tickets combined: 1040
This gives us the equation:
64x + 132y = 1040
b.
Use substitution to solve the system of equations. Since x = 2y, where you see x in the second equation, substitute it with 2y.
64(2y) + 132y = 1040
128y + 132y = 1040
260y = 1040
y = 1040/260
y = 4
x = 2y = 2(4) = 8
adult ticket: $8
student ticket: $4