Write and solve a system of equations that represents each situation. interpret the solution.
10. money neil has a total of twelve $5 and $10 bills in his wallet. he has 5 times as many $10 bills as $5 dollar bills. how many of each does he have?
11. hayride hillary and 23 of her friends went on a hayride. there are 8 more boys than girls on the ride. how many boys and girls were on the ride?
12. driving winston drove a total of 248 miles on monday. he drove 70 fewer miles in the morning than he did in the afternoon. how many miles did he drive in the afternoon?

In δabc, if the length of side b is 3 centimeters and the measures of ∠b and ∠c are 45° and 60°, respectively, what is the length of side c to two decimal places?

Before simplifying, how many terms are there in the expression 2x - 5y + 3 + x?

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.