Answer: 210
Step-by-step explanation:
We know that the number of combinations of n things taken r at a time is given by :-
So, number of ways to select 3 plants out of 7 =
Also number of ways to arrange them in 3 positions = 3! = 6
Now , total number of arrangements with 1 plant in each spot = (number of ways to select 3 plants out of 7) x (number of ways to arrange them in 3 positions)
= 35 x 6
=210
Hence, required number of ways = 210
For this case we have to rewrite the given expression algebraically:
the cube of a, is represented as:
the square of b, is represented as:
Thus, the product of both expressions is:
And twice the product is represented as:
Answer:
Let x = number of batches.
So for every batch, you need 2 cups of flour, and you have 20 cups of flour. You cannot make a batch if you don't have the sufficient amount. So using our information, our inequality is . However, this can be further simplified.
For this inequality, divide both sides by 2, and <u>your inequality is .</u> <u>In context, you can make up to 10 batches of cookies.</u>