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Systems of Equations

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Please show all work for the attached questions.

8. A cellular phone company offers a contract for which the cost c, in dollars, of t minutesof telephoning is given by C= 0.259t-300)+79.95, where it is assumed that >300 minutes. What time will keep cost between $129.95 and $167.20? -

For the cost to be between $129.95 and $167.20, the telephoning time must be between ______minutes and _____minutes.

9. One canned juice drink is 15% orange juice: another is 5 % orange juice. How many liters of each should be mixed together in order to get 10L that is 14% orange juice?

How many liters of the 15% orange juice should be in the mixture? ___ L

How many liters of the 5% orange juice should be in the mixture? ____ L

10. Hockey team receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 67 points. They won 11 more games than they tied. How many wins and how many ties did the team have?

Wins=
Ties=

11. 5(r-7)+3 > 6(r=2)-28

The solution set is { r/r __ __ } (Type and inequality symbol, then answer)

14. Solve by the elimination method.
X+ 5y = 33
-x + 7y =27
The solution is ______

16. Solve by the elimination method.
0.3x - 0.2y = 4
0.5x+0.5y= 85/19
The solution set is _____

21. The perimeter of a rectangle is 190 inches. The length exceeds the width by 77 inches. Find the length and width.
The length is ____ inches ( Type an integer or decimal)
The width is _____ inches ( Type an integar or decimal)

22. Solve 2y -1 < 5y-2
The set builder { y/y __ __} ( Type and inequality symbol, then an integer or simplified fraction)

24. Solve by substitution method 5x+ 5y =15 -9x + y =33 The solution is ____

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This solution shows the steps for how to solve the given linear algebra problems.

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