All you have to do is make ratios so in class 701 you have to do chicken nuggets to pasta then chicken nuggets to the total then pasta to the total so the first class would be 5:6,6:11,and 5:11
Answer:
x=4, y=1
Step-by-step explanation:
x + 3y = 7
x - 3y = 1
Add the equations together to eliminate y
x + 3y = 7
x - 3y = 1
---------------------
2x = 8
Divide by 2
2x/2 = 8/2
x = 4
Subtract the two equations to eliminate x
x + 3y = 7
-x + 3y = -1
----------------------
6y = 6
Divide by 6
6y/6 = 6/6
y =1
Yes this is true. For every problem-solving activity it's crucial that no less than five alternatives be considered.
Answer:
f(3x) - 2g(x+1) = 12x - 5
Step-by-step explanation:
You've got f[g(x)] and g[f(x)] correct
However, f(3x) means substitute 3x for x in f(x):
f(3x) = 2(3x) - 3
⇒ f(3x) = 6x - 3
2g(x+1) = 2[4 - 3(x + 1)]
⇒ 2g(x+1) = 2[4 - 3x -3]
⇒ 2g(x+1) = 2[1 - 3x]
⇒ 2g(x+1) = 2 - 6x
f(3x) - 2g(x+1) = (6x - 3) - (2 - 6x)
⇒ f(3x) - 2g(x+1) = 12x - 5
Answer:
4
Step-by-step explanation:
g(n) varies inversely with n.
This can be expressed alternatively as \[g(n) = \frac{k}{n}\] where k is a constant value.
Given that when n = 3, g(n) = 8.
This implies, \[8 = \frac{k}{3}\]
Simplifying the equation to solve for k, k = 8 * 3 = 24
Now when g(n) = 6, \[g(n) = \frac{k}{n}\]
\[6 = \frac{24}{n}\]
Calculating the value of n, \[n = \frac{24}{6}\] = 4
So the required value of n is 4.
