Step-by-step explanation:
answer is 1 and 13 over 70
If you have 4 appetizers and you need to choose just 3 of them, it would be the same amount of options as just choosing 1 out of the 4; so there are 4 ways to choose the appetizer. For the main course, you are choosing 2 out of 6. So there are 6 ways to choose the first main course, and assuming there is no repeats, there would be 5 ways to choose the next one. However, there will be some overlap, so you need to divide it by 2. So you have
![\frac{6*5}{2} =15](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%2A5%7D%7B2%7D%20%3D15)
options for main course. Finally for dessert, you have 12 desserts to choose from and 5 desserts to choose. So you do a similar thing to the main courses.
![\frac{12*11*10*9*8}{5*4*3*2*1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%2A11%2A10%2A9%2A8%7D%7B5%2A4%2A3%2A2%2A1%7D%20)
would be the equation you would use. Because there are 12 ways to pick the first dessert, 11 ways for the 2nd and so on until you reach 5 desserts. You divide it by 5*4*3*2*1 or 5! (Factorial) because there are overlaps for each of the 5 so you have to account for those. After solving the equation, there are 792 ways to pick desserts So you now know that you have 4 ways of picking the appetizer, 15 ways for the main course and 972 ways to pick desserts. So for options of the full meal, you need to multiply all these values together:
![4*15*792=47520](https://tex.z-dn.net/?f=4%2A15%2A792%3D47520)
. Therefore, there are 47,520 possible ways this could be done.
1,427 rounded to the nearest ten= 1,430
512,162 rounded to the nearest ten= <span>512,160</span>
Answer: good luck
Step-by-step explanation:
Answer:
The cost of one cricket bat is $370, while the cost of one cricket ball is $185.
Step-by-step explanation:
Let's identify what we already know:
1) Mr. Lenny paid a TOTAL of $1480.00 for 4 cricket balls, and two cricket bats.
2) The cost of one cricket bat is twice as much as a cricket ball.
We can create an initial equation:
(4 times x) + (2 times y) = $1480.00
x is the price of one cricket ball, while y is the price of one cricket bat. Considering how the problem is set up, I know the 4 balls should add up to the same price as two bats.
So, the four balls should equal half of $1480, which is $740, and the two bats should also equal $740.
Calculate it out, and you'll find that one cricket bat equals $370, while one ball equals $185.