Platforms
A garden supply store sells two types of lawn mowers.Total sales of mowers for the year were $8379.79. The total number of mowers sold was 30. The small mower costs $249.99. The large mower costs $329.99. Find the number of large mowers sold.a.11c.17b.19d.9
Define variables and write systems of equations for the situation. Solve using substitution.Suppose you want to join a video store. Big video offers a special discount card that costs $9.99 per year. With the discount card, each video rental costs $2.49. A discount card from Main Street Video cost $20.49 per year. With the Main Street Video discount card, each video rental costs $1.79. After how many video rentals is the cost the same?a.17c.9b.15d.10
An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his six nephews and rented five pairs of ice skates. He was charged $32.00. Juanita paid the admission fees for her seven grandchildren and rented five pairs of ice skates. She was charged $35.25. What is the admission fee? What is the rental fee for a pair of skates?a.admission fee: $3.25skate rental fee: $2.50c.admission fee: $3.00skate rental fee: $2.00b.admission fee: $3.50skate rental fee: $3.00d.admission fee: $4.00skate rental fee: $3.50
Solve the system by substitution. Check your solution. a. (15, 15) c. (13, 12) b. (10, 12) d. (7, 9) Please select the best answer from the choices provided
Solve the system of equations.y = 7x + 43y = 2x + 13a.( -6, 1)c.( 6, 1)b.( 6, -1)d.No solution
Solve the system by substitution. Check your solution. a. (36, 72) c. (49, 81) b. (9, 126) d. (21, 9) Please select the best answer from the choices provided
The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimination to find the two numbers.a.x + y = 98x – y = 2255 and 33c.x – y = 98x + y = 2259 and 39b.x + y = 98x – y = 2260 and 38d.x + y = 22y – x = 9855 and 39
Solve the system of equations.y = -5x - 8y = 4x + 1a.( 1, -3)c.( 3, 1)b.( -1, -3)d.No solution
A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water. Let s equal the families paddling speed and c represent the current a. s + c = 2.75 s - c = 1.5 2.125 mi/h c. s + c = 2.75 c - s = 1.5 .60 mi/h b. 2.75s = c 1.5s = c 1.725 mi/h d. 2.75c = s 1.5c = s 30 mi/h Please select the best answer from the choices provided
Solve the system of equations.y = 6x - 27y = 4x - 17a.( -5, 3)c.( 5, 3)b.( -3, -5)d.No solution
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Systems of Equations
Break-Even Points