1746prepresents the number ofpoints Mark's teammates scored.YOUR TURNWrite an equation to represent each situation.5. The sum of a number f and 9 isequal to 38.6. The product of 17 and a numbern is equal to 102.7. Craig is c years old. His12-year-old friend Kaitlin isyear younger than Craig.8. Kim rented skates for h hours.The rental fee was $2.50 perhour. She paid a total of $20.ersonalh Trainerne Practicend Helpny.hrw.comI Unit 5Writing an Equation gndO Houghton ifin Hamgut D Reflect9. What If? Suppose Sarah had $12 left on her gift card. How would thischange the equation and the final answer?YOUR TURN10.On Saturday morning, Owen earned $24. By the end of the afternoonhe had earned a total of $62. Write an equation to represent thesituation. Tell what the variable represents. Determine whether Owenearned $38 or $31 on Saturday afternoon.MaOnlLesson 1Guided PracticeDetermine whether the given value is a solution of the equation. (Example 1)O Houghion iffin Harcourt Publishing Company

Name: 1746prepresents the number ofpoints Mark's teammates scored.YOUR TURN
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Description: 1746prepresents the number ofpoints Mark's teammates scored.YOUR TURNWrite an equation to represent each situation.5. The sum of a number f and 9 isequal to 38.6. The product of 17 and a numbern is equal to 102.7. Craig is c years old. His12-year-ol

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Math

Algebra

5. The sum of a number fand 9 is equal to 38.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.5: Solve Applications Of Quadratic Equations

Problem 228E: Make up a problem involving the product of two consecutive even integers. a. Start by choosing two...

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Make up a problem involving the product of two consecutive even integers. a. Start by choosing two consecutive even integers. What are your integers? b. What is the product of your integers? c. Solve the equation n(n+2)=p, where p is the product you found in part (b). d. Did you get the numbers you started with?
Sarah wants to arrive at her friend’s wedding at3:00. The distance from Sarah’s house to the weddingis 95 miles. Based on usual traffic patterns, Sarahpredicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. (a) How long will it take Sarah to drive the first 15 miles? (b) How long will it take Sarah to drive the next 10 miles? (c) How long will it take Sarah to drive the rest of the trip? (d) What time should Sarah leave her house?
Make up a problem involving the product of two consecutive odd integers. a. Start by choosing two consecutive odd integers. What are your integers? b. What is the product of your integers? c. Solve the equation n(n+2)=p,where p is the product you found in part (b). d. Did you get the numbers you started with?
Sarah wants to arrive at her friend’s wedding at 3:00. The distance from Sarah’s house to the wedding is 95 miles. Based on usual traffic patterns, Sarah predicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour. (a) How long will it take Sarah to drive the first 15 miles? (b) How long will it take Sarah to drive the next 10 miles? (c) How long will it take Sarah to drive the rest of the trip? (d) What time should Sarah leave her house?
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4) The time a basketball player spends in the air when shooting a basket is called the "hang time." The vertical leap L measured in feet is related to the hang time t measured in seconds by the equation L=4t2. Suppose that a basketball player has a vertical leap of 3 feet 7 inches. Find the hang time for this leap.
7. Mr. Smith rides his bike at 6 mph to the bus station. He then rides the bus to work, averaging 30mph. If he spends 20 minutes less time on the bus than on the bike, and the distance from his house to work is 26 miles, what is the distance from his house to the bus station?
The entrepreneurship club is ordering potted plants for all 36 of its sponsors. One store charges $8.50 for each plant plus a delivery fee of $20. The equation 320=x+7.50(36) represents the cost of ordering potted plants at a second store. What does the x represent in this situation? The cost for each potted plant at the second store The delivery fee at the second store The total cost of ordering potted plants at the second store
The cost of renting a car is $42/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=42+0.25x where xx is the number of miles traveled. a.What is your cost if you travel 52 miles? b.If your cost was $60.75, how many miles were you charged for traveling? c.Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?
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Max needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 4 teaspoons and that 1 cup contains 24 tablespoons. a. Complete the missing values in the table: # of teaspoons # of Tablespoons # of Cups 2 48 12 72 3 b. Write an equation that represents the number of teaspoons, t, contained in a cup, C.
1) Write the following statement as an equation and solve. Jake Drewrey, owner of Jake's Landscape Service, knows that one of his fertilizer tanks holds three times as many gallons of liquid fertilizer as a second tank. The two tanks together hold 374 gal. If both tanks are filled to capacity, how many gallons of fertilizer does each tank hold?