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1. Five people enter a racquetball tournament in which each person must play every other person exactly once. Determine the total number of games that will be played.
2. When two pieces of rope are placed end to end, their combined length is 130 feet. When the two pieces are placed side by side, one is 26 feet longer than the other. What are the lengths of the two pieces?
3. There are 560 third- and fourth-grade students in King Elementary School. If there are 80 more third- graders than fourth-graders, how many third- graders are there in the school?
Use Method of undetermined coefficient to find a particular solution. Then write the general solution.
The marked price of a color tv is ksh 20000. A dealer charges 20% more on hire purchase. Calculate the amount of monthly instalments if the deposit is ksh 6000 and there are 12 equal instalments.
The density of the limestone is about 150 pounds per cubic feet. Estimate the total work done in building the pyramid, in Newtons. You will want to begin by converting your units.
A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answ..
What does the final row of the augmented matrix in echelon form (the above description) tell you about the solution to the system of 5 linear equations?
Vectors are used in physics to estimate how much tension is in the cables holding a weight. Suppose a 100 lb weight is hung from the ceiling using 2 steel cables. We want to calculate the tension that will be needed so we can use a cable which is..
For a craft activity at a daycare, each child will need 1.75 yards of ribbon adn 2.8 yards of fabric. there are 25 yards of ribbon and 30 yards of fabric available. Estimate the number of children that can participate in the activity
What is the equation of the vertical line through P? What is the equation of the horizontal line through P?
A company was charged $40 to ship 150 pounds and $70 to ship 300 pounds. Use the ordered pairs (150,40) and (300,70) to find the average cost to ship per pound.
Perform the indicated operations and simplify: (3x - 2)(6x - 3) - (2x - 4)2 . Show work. Solve the equation x(x - 6) = -9. Show work. Solve the equation 7(x - 1) = 9 - 2(6 - x). Show work.
To avoid creating a backlog, all cases must be handled by the end of December. Formulate a linear program that can be used to determine how many udges the city needs.
1. Compare fractions and rational expressions. What do they have in common? What is different? Support your answer with examples. 2. Compare the operation of taking a root and the operation of rising to a power. Support this with your own examples.
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