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2 years ago

If at a toy store, 2 board games cost $13.40, what is the unit price of a board game?

Mathematics

1 answer:

olganol [36]2 years ago

7 0

Answer:

The unit price of a board game is $6.70

Step-by-step explanation:

1 board/2boards = x/13.4

Cross multiply:

13.4*1/2x

13.4/2x

x=6.7

Hope this helps plz hit the crown :D

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A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 ite

Charra [1.4K]

Answer:

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

$C_{10,2} = \frac{10!}{2!(10-2)!} = 45$

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Answer:

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2 years ago

What is the average rate of change of the function from x = 0 to x = 2?.

irina1246 [14]

The average rate of change of the function from x = 0 to x = 2 is -2

From the complete question (see attachment), we have the following ordered pair when x = 0 and x = 2

$(x,y) = \{(0,10)\ (2,6)\}$

The average rate of change is calculated using:

$\Delta x = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$\Delta x = \frac{6-10}{2-0}$

Evaluate common terms

$\Delta x = \frac{-4}{2}$

Divide -4 by 2

$\Delta x = -2$

Hence, the average rate of change of the function from x = 0 to x = 2 is -2