Please see attached file for full problem description.

1. Two cars leave a restaurant at the same time and travel in opposite directions. One averages 50 miles per hour and the other averages 40 miles per hour. After how long will they be 216 miles apart?

2. How many gallons of a 4% acid solution should be mixed with 20 gallons of a 10% acid solution to obtain a mixture that is 5% acid?

3. Complete the table of values for

x | | (x,y)
0 | |
3 | |
6 | |

4. Determine if the ordered pair (0, 2) is a solution of -3x + y = 2.

5. Determine whether the lines through each pair of points are parallel. Tell how you determined the answer.
(0, 1) and (3, 7)
(1, 1) and (2, 3)

Systems of Equations Word Problems are solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Jill, Karen, and Betsy studied a total of 93 hours last week. Jill's and Karen's study time totaled only one-half as much as Betsy's. If Jill studied 3 hours more than Karen, then how many hours did each one of the girls spend studying?

1. Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes was doubled and the number of nickels was increased by 8, the value of the coins would be $10.45. How many dimes does he have?
2. An express train and a local train leave GraysLake at 3 P.M. and head for Chicago 50 miles away. The express

1. What systems of equations can be solved by graphing or using substitution or elimination? Which method do you like best and why would it be different method. How would you answer this question?
2.Why graphing gives more visual of the problem and the elimination makes it easier to come up with the answer?

The financial institution was very pleased with your presentation and has asked you to place the advertising ads. You have found out the best way to ensure the best outcome for your customer is through the use of systems of equations. After reading up on systems of equations, you have found out how powerful they can be for solvi

A total of 200 tickets were sold for the carnival to adults and children. Children tickets were $6 and adult tickets were $8. If the total revenue for the carnival is $550 dollars, then how many tickets of each type were sold?

One serving of Cornie breakfast cereal contains 2 grams of protein and 25 grams of carbohydrate. One serving of Oaties breakfast cereal contains 4 grams of protein and 20 grams of carbohydrate. How many servings of each would provide exactly 24 grams of protein and 210 grams of carbohydrate? please show calculation

Solve for x and y in the following two sets of simultaneous equations:
4x-2y = 1 ......(i)
8x-4y = 1 ......(ii)
y = 2x + 3.......(i)
2y - 4x = 6 .....(ii)

In a family there are two cars. In a given week, the first car gets an average of 40 miles per gallon, and the second car gets 25 miles per gallon. The two cars combined drive a total of 1775 miles in that week, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

1. What is a system of equations?
2. Solve for X and Y in the following problems. Show all your work.
a. X + Y= 10 , 3X + Y = 12
b. 2X + 5Y = 19 , 3X + 3Y = 15
c. 4X + Y = 22 , 2X + 3Y = 16
d. 12X + Y = 174 , 8X - 2Y = 36
3. Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y

Flying against the jetstream, a jet travels 1890km in 3 hours. Flying with the jetstream, the same jet travels 4650km in 5 hours. What is the speed of the jet in still air, and what is the speed of the jetstream?