Answer:
8/27 cups
Step-by-step explanation:
Nima uses 2/3 cups of peanuts to make a recipe of 2 1/4 = 9/4 cups of trail mix. If we want to find how many cups of peanuts are there per cup of trail mix, we can do a rule of three:
If 9/4 cups of trail mix need 2/3 cups of peanuts, 1 cup of trail mix need X cups of peanuts:
9/4 cups of trail mix -> 2/3 cups of peanuts
1 cup of trail mix -> X cups of peanuts
9/4 / 1 = 2/3 / X
9/4 = 2/(3*X)
3*X*9 = 4*2
27*X = 8
X = 8/27 cups
Answer:
5
Step-by-step explanation:
41 - 32 = 9
5/9 x 9 = 5
It should be an obtuse triangle
(hope this helps)
The value of the composite function f(g(x)) is 2x^2 + 15
<h3>How to evaluate the composite function f(g(x))?</h3>
The functions are given as:
f(x) = 2x + 1
g(x) = x^2 + 7
We have the function f(x) to be
f(x) = 2x + 1
Substitute g(x) for x in the equation f(x) = 2x + 1
So, we have
f(g(x)) = 2g(x) + 1
Substitute g(x) = x^2 + 7 in the equation f(g(x)) = 2x + 1
f(g(x)) = 2(x^2 + 7) + 1
Open the brackets
f(g(x)) = 2x^2 + 14 + 1
Evaluate the sum
f(g(x)) = 2x^2 + 15
Hence, the value of the composite function f(g(x)) is 2x^2 + 15
Read more about composite function at
brainly.com/question/10687170
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<u>Complete question</u>
if f(x) = 2x + 1 and g(x) = x^2 + 7
which of the following is equal to f(g(x))
Okay, so if it leaks out a pint every hour, and a gallon is 8 pints, it will take 8 hours to leak out 1 gallon. Since there are 24 hours in a day, it would leak out 3 gallons every day. Now, assuming the month we are talking about is 31 days, then we multiply 31 with 3, giving us 93 gallons in a month.
Do you need help with the third too?