Answer:
French=60,History=120,Music=108
Step-by-step explanation:
I think this is trying to represent the degrees of a pie chart.
To find the degree of the pi chart per person you need to 72/12=6
Than to find the amount of degrees per subject multiply 6*amount of students.
Example:
Answer:
Step-by-step explanation:
Applying the chain rule
Then it becomes
In x=0
![\frac{d[tex]f'(0)=-f'(0)\\f'(0)+f'(0)=0\\2f'(0)=0\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Btex%5Df%27%280%29%3D-f%27%280%29%5C%5Cf%27%280%29%2Bf%27%280%29%3D0%5C%5C2f%27%280%29%3D0%5C%5C)
f}{dx} =-\frac{df}{dx}[/tex]
Then
Answer:
A
Step-by-step explanation:
The function is f(x) = 15x + 25 as 25$ is a fixed rate ( it does not change and is always charged) when 15$ for any other service which can be anything, a costumer can have 0 services other than the hair cut which gives f(0). As for the question, it's asking for haircut, shampoo, highlight, and blow dry so that is 3 other services other than the fixed haircut which means f(3). substitute x=3 in the function to get 15(3) + 25 = 45+25 = 70.
Answer:
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
z = number of quarters
Total worth of the coins = $41.45
Total number of coins = 361
x + y + z = 361 (1)
dime = $0.1,
nickel = $0.05
quarter = $0.25
0.05x + 0.1y + 0.25z = 41.45 (2)
twice as many dimes as quarters.
y = 2z
Substitute y = 2z into (1) and (2)
x + 2z + z = 361
0.05x + 0.1(2z) + 0.25z = 41.45
x + 3z = 361
0.05x + 0.2z + 0.25z = 41.45
x + 3z = 361 (3)
0.05x + 0.45z = 41.45 (4)
Multiply (4) by 20
x + 3z = 361 (3)
x + 9z = 829 (5)
Subtract (3) from (5)
9z - 3z = 829 - 361
6z = 468
Divide both sides by 6
z = 468 / 6
= 78
z= 78
Recall,
y = 2z
= 2(78)
= 156
y = 156
Substitute the value of y and z into
x + y + z = 361
x + 156 + 78 = 361
x + 234 = 361
x = 361 - 234
= 127
x= 127
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
