Answer:
No, they are not inverses
Step-by-step explanation:
f(g(x)) --> 2x-4
g(f(x)) --> 2x
Answer:
I'm sorry I don't know
Step-by-step explanation:
but maybe next week I'll be able to answer you
Answer:
The largest number of pyramids she can make from 20 bars of chocolate is:
Step-by-step explanation:
Firstly, you must find the volume of the 20 bars of chocolate, remember that each bar contains 6 cubic inches of chocolate (6 in^3), so:
- Volume of the bars = 6 in^3 * 20
- <u>Volume of the bars = 120 in^3</u>
Now, you must find the volume of each pyramid, using the next formula:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the square base.</em>
<em>h = height of the pyramid.</em>
How these values are given in the problem, we only replace the values in the formula:
- Area of a pyramid = 1/3 (1 in^2) * 2 in
- <u>Area of a pyramid = 2/3 in^3</u>
Finally, we divide the volume of the bars in the volume of each pyramid:
- Total number of pyramids = 120 in^3 / 2/3 in^3
- <u>Total number of pyramids = 180</u>
From the information given, each batch of cookies requires 1/6 of a bag of flour.
So how many batches can be gotten from 5/6 of the bag of flour?
We form an equation
1batch = 1/6
x batches = 5/6
Where x is the number of batches from 5/6 bag of flour.
Cross multiplying this equation we get:
x * 1/6 = 1 * 5/6
simplify it:
x * 0.16 = 1 * 0.83
x = 1 * 0.83 / 0.16
x = 0.83 / 0.16
x = 5.2
Therefore factory made approximately 5 batches of cookies yesterday.
