Answer:
let t = number of three-point shots
let f = number of free throw shots
Step-by-step explanation:
t + f = 9 (he made a total of 9 shots altogether)
3t + 1f = 23 (number of shots multiplied by their point value)
substitution method: t = 9 - f
3(9 - f) + f = 23
27 - 3f + f = 23
-2f = -4
f = 2
find 't': t + 2 = 9
t = 7
Answer:
455 or 680, depending
Step-by-step explanation:
If we assume the three choices are different, then there are ...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to make the pizza.
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If two or three of the topping choices can be the same, then there are an additional ...
2(15C2) +15C1 = 2·105 +15 = 225
ways to make the pizza, for a total of ...
455 + 225 = 680
different types of pizza.
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There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.
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nCk = n!/(k!(n-k)!)
Answer:
Your answer will be D. He knows that 30 × 16 is 5 then multiples 5 by 5 to get 25.
The easiest way to find this answer is to work through it step by step.
She starts with 75 pieces.
She eats 5 pieces, so the # of pieces goes down from 75 to 75-5 = 70.
So she has 70 pieces left to put in the bags.
She puts the same amount in each of 10 bags... so we divide 70 by 10 to find the # of pieces in each bag.
70 divided by 10 is 7.
She put 7 pieces in each bag.
