Lucas scored 75, 78, 82, and 84 on his four algebra tests. There is one test remaining in the grading period. Lucas's homework average is 95. His teacher will count each test score and the homework average as one-sixth of Lucas's final grade. • Write an equation to determine the score that Lucas must attain on his remaining test to have a final grade of exactly 80. • Solve the equation and justify the answer by showing your work. • Write a sentence explaining what your answer means.

Lucas scored 75, 78, 82, and 84 on his four algebra tests. There is one test remaining in the grading period. Lucas's homework average is 95. His teacher will count each test score and the homework average as one-sixth of Lucas's final grade. • Write an equation to determine the score that Lucas must attain on his remaining test to have a final grade of exactly 80. • Solve the equation and justify the answer by showing your work. • Write a sentence explaining what your answer means.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Bob paid $152 to get his car repaired. The total cost for the repairs is the sum of the amount paid for parts and the amount paid for labor. Bob was charged $56 for parts and $24 per hour for labor. Construct and solve an equation to find the number of hours it took to repair the car. Show all of your work and prove your answer to be correct. Use the paperclip button below to attach files. MacBook Air
If you work one day, you earn $100. Then you get a raise of $50 each day you work. So if you work two days, you make a total of 250 ($100+150). If you work three days, you a total of $450. Write an equation.
Translate the following sentence into an equation. Then solve the equation. Four times a number, added to 6, is 38. Find the number. Translate the sentence into an equation. |(Type an equation using x as the variable. Do not simplify.) The unknown number is Enter your answer in each of the answer boxes F8 AA F9 F10 F12 & D F
The noontime temperature was 29°F. This was 4°F lower than predicted. Write and solve an equation to determine the predicted noontime temperature. Show that your answer is reasonable.
A one-day admission ticket to a park costs $42.85 for adults and $16.95 for children. Two families purchased nine tickets and spent $333.85 for the tickets. Fill in a chart that summarizes the information in the problem. Do not solve the problem. Let a represent the number of adult tickets sold, and let c represent the number of children's tickets sold. Fill in the chart below. Number • Cost per person = a Adults Children Total (Use integers or decimals for any numbers in the expression.) an example Textbook (1211) Amount 131227 Hinn Clear all
How many gallons of milk containing 4% fat are mixed with milk containing 1% fat to obtain a 15 gallon mixture containing 2% fat? Formulate an equation and then solve it in order to determine how many gallons of milk containing 4% fat. Show all of your work. Use the paperclip button below to attach files. BIU DD 000 םחה. F19
What’s the answer
You fill a box with 6 more apples than pears. Create an equation that represents the number of fruit inside the box. First label the unknowns: Let a be the number of apples in the box. Let p be the number of pears.
find the smaller of 2 consecutive integers, x, if the sum of the two integers is -29. write an equation to determine the consecutive integers. variable? Equation?
A dance academy charges $28 per class and a registration fee of $20. A student paid a total of $1000 to the dance academy. Construct and solve an equation to find the number of classes the student took. Show all of your work and prove your answer to be correct. Use the paperclip button below to attach files. BIU MacBook Air ..
A car rental service charges a one-time fee of $19.99 in addition to $0.29 per mile drive. If the final total for renting the car is $73.93, select which equation best represents the situation. Let m represent the number of miles driven. answer chocies 19.99m + 0.29 = 73.93 (19.99 + 0.29)m = 73.93m 19.99 + 0.29m = 73.93 19.99m + 0.29m = 73.93
Write the following as an equation. Then solve. Twice the sum of a number and 9 is equal to three times the difference of the number and 3. Find the number. The equation is. (Type an equation using x as the variable. Use integers or fractions for any numbers in the equation. Do not simplify.) The number is. (Simplify your answer. Type an integer or a decimal.)