A problem is given below. Instead of trying to solve that​ problem, state a simpler problem and solve it instead.   A car comes with nine options. You may buy the car with any combination of these options​ (including none). How many different choices do you​ have?       Which of the following is a simpler version of the given​ problem?     A. A car comes with three options. You may buy the car with any combination of these options​ (including none). How many different choices do you​ have?   B. A car comes with nine options. You may buy the car with any combination of these​ options, but it must include at least two of the options. How many different choices do you​ have?   C. A car comes with three options. In how many ways can you choose exactly one of​ them?   D. A car comes with nine options. In how many ways can you choose exactly four of​ them?

A quiz has two problems. The first problem has 13 choices, out of which one is correct. The second problem has 3 choices, out of which one is correct. How many possible ways are there to answer the quiz?

You are going to a party with a friend. Both of you are supposed to take packets of chips and bottles of soft drink for the party. You shop together and buy the same brand of chips & drink. You spend $47.5 to buy 5 packets of chips and 10 bottles of soft drink. Your friend spends $64.5 to buy 3 packets of chips and 15 bottles of soft drink. Given this information determine the following: How much does the shop charge for a packet of chips? Please calculate this answer in dollars (enter the unit "$" with the answer) and round the final value to the nearest cent. Answer: How much does the shop charge for a bottle of soft drink? Please calculate this answer in dollars (enter the unit "$" with the answer) and round the final value to the nearest cent. Answer:

Consider the following problem: "You and a friend go to dinner with four couples. Before dinner, everyone shakes hands with each person that they've never met. During dinner, you ask everyone how many hands they shook. You get the following answers: 0, 1, 2, 3, 4, 5, 6, 7, 8. How many hands did your friend shake?" Which of these problems below represent a simpler problem that could help you solve this one? O You and a friend go to dinner with two couples, and everyone shakes each othes person's hand. How many handshakes did your friend give? O You and a friend go to dinner with one couple, and everyone shakes hands with each person they've never met. During dinner, you ask everyone how many hands they shook. You get the following answers: 1, 1, 1. How many hands did you shake? O You go to dinner with two couples, and everyone shakes each other person's hand. How many handshakes total happened? O You and a friend go to dinner with one couple, and everyone shakes hands with each person…

. A preschool field trip required 7 buses. Thirteen children rode in cars with their parents and the rest rode on a bus. If there were 258 children on the trip altogether, how many were on each bus? Equation Solution 8-49-8 + 4

Lin bought 4 bags of apples..Each bag had the same number of apples.  After eating  1 apple from each bag, she has 28 apples.   For each of the following problems, create a tape diagram, define the variable, write the corresponding equation, solve and write a sentence.   Btw this math is not advancd there was no normal math on tape diagrams

Word Problem Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake that she sells. Sandy wants to sell at least 5 cups of lemonade and at least 5 cupcakes per day. She wants to earn at least $25 per day. Show and describe all the possible combinations of lemonade and cupcakes that Sandy needs to sell to meet her goals. List two possible combinations.

Cycling Race Three friends, Xavier, Yolanda, and Zeke, want to have a race on their stationary bikes. Aware that he is the fastest rider, Xavier claims he can ride n3 miles faster than Yolanda can ride n miles and Zeke can ride log3 n miles, for any value of n. Suppose Xavier's speed is 60 miles per hour, Yolanda's speed is 20 miles per hour, and Zeke's speed is 3 miles per hour. We will show that Xavier is incorrect (he has never taken a Discrete Structures course, evi- dently!). (a) How large must n be to ensure that Yolanda finishes before Xavier? Justify the answer. (b)How large must n be to ensure that Zeke finishes before Xavier? Justify the answer. (c) As n gets increasingly large, who completes their ride first, Zeke or Yolanda? Justify The answer. Answer:

Please show all work for this problem

Please help me solving this question using combination:- Sam goes to a restaurant with the entire family, where he has the option of 7 starters, 11 main course dishes, 8 mocktails and 6 dessert items. He thinks he will need 3 starters, between 3 to 5 main course dishes, between 2 to 3 mocktails and 3 dessert items. How many options does he have to make the order to the waiter?