2.66
i need to write 20 characters so im typing this
What is the question? What do I do with this information
Answer:
1 1/3 bags of chocolate chips
Step-by-step explanation:
If Alana has 2 1/4 bags of chocolate chips that she wants to use in 3 batches of chocolate chip cookies, then we can say;
2 1/4 bags of cookies = 3 batches of chips
To determine how much of the chocolate chips will she use in each batch of cookies, we can say;
1 bag of cookies = x batches of chips
Equating both expressions
2 1/4 bags of cookies = 3 batches of chips
1 bag of cookies = x batches of chips
Cross multiply
2 1/4 x = 3
9/4 x = 3
9x/4 = 3
9x = 12
x = 12/9
x = 4/3
x = 1 1/3
Hence Alana will need 1 1/3 bags of chocolate chips
Answer:
domain: x>3/5
Step-by-step explanation:
First we need to derive our function g(x) to get a new function g'(x)
To do this we will have to apply chain rule because we have an inner and outer functions.
Our G(x) = square root(3-5x)
Chain rule formula states that: d/dx(g(f(x)) = g'(f(x))f'(x)
where d/dx(g(f(x)) = g'(x)
g(x) is the outer function which is x^1/2
f(x) is our inner function which is 3-5x
therefore f'(x)= 1/2x^(-1/2) and f'(x) = -5
g'(f(x)) = -1/2(3-5x)^(-1/2)
Applying chain rule then g'(x) = 1/2 (3-5x)^(-/1/2)*(-5)
But the domain is the values of x where the function g'(x) is not defined
In this case it will be 3-5x > 0, because 3-5x is a denominator and anything divide by zero is infinity/undefined
which gives us x >3/5
To answer this all you need to do is divide 120 by 50
120/50
2.4
So it will take 2 hours and 24 minutes (.4 of 60 to get the 24)