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Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 144627: 1. In a Chinese restaurant the menu list 8 items in column A and 6 items in column B.
a. To order a dinner, the diner is told to select 3 items from column A and 2 from column B. How many dinners are possible?
b. How many dinners are possible if the diner can select up to 3 from column A and up to 2 from column B? Assume at least one item must be included from either A or B.
2. The average resident of a certain East Coast suburb spends 42 minutes per day commuting, with a standard deviation of 12 minutes. Assume a normal distribution. Find the percent of all residents of this suburb who have no more than 35 minutes per day commuting time.
Please HELP
Click here to see answer by Edwin McCravy(2920)   |
Question 144660: A rectangle has a diagonal that is 3.6 feet longer than the length and 7.1 feet longer than the width. What are the dimensions of the rectangle? I would appreaciate it if someone could help me solve this problem. This is what I've done so far but I know its not correct. Thank you for your time.
X^2 + (X+7.1)^2 = (X+3.6)^2
X^2 + X^2 + 14.2 + 50.41 = X^2 + 2X + 3.6
X^2+16.2X + 52.6=0
(X=13.15)(X=4.05)
Click here to see answer by scott8148(3382)  |
Question 144660: A rectangle has a diagonal that is 3.6 feet longer than the length and 7.1 feet longer than the width. What are the dimensions of the rectangle? I would appreaciate it if someone could help me solve this problem. This is what I've done so far but I know its not correct. Thank you for your time.
X^2 + (X+7.1)^2 = (X+3.6)^2
X^2 + X^2 + 14.2 + 50.41 = X^2 + 2X + 3.6
X^2+16.2X + 52.6=0
(X=13.15)(X=4.05)
Click here to see answer by solver91311(5072)  |
Question 144849: a group of 80 people attend a ball game. there were four times as many children as adults in the group. write a system of equations that you could use to set up this problem, where a is the number of adults and c is the number of children in the group. solve the system of equations for c, the number of childern in the group
Click here to see answer by shahid(44) |
Question 145017: Problem: The mainsail on a sailboat is a right triangle in which the hypotenuse is called the leech. A 12-foot tall mainsail has a leech of 13 feet. If sailcloth costs $10.00 per square foot, what is the cost of a new mainsail?
Click here to see answer by nerdybill(2446)  |
Question 145291: The 6th graders from an elementary school are going to celebrate the end of the year by going to the local pizza parlor. There are 120 in the whole group and there are 2 times as many children as adults in the group. How many children are there?
Click here to see answer by nerdybill(2446) |
Question 145304: an alloy of tin and copper contains 14 pounds of tin and 26 pounds of copper.
a second alloy of tin and copper contains 8 pounds of tin and 24 pounds of copper. How many pounds of each alloy must be taken to form a third alloy
containing 15 pounds of tin and 35 pounds of copper.
Click here to see answer by ankor@dixie-net.com(6691)  |
Question 145396: How to solve this word problem?
2 cars started off in the same direction at the same time, but the first car was going twice as fast as the second car. In 5 hrs, the first car was ahead of the second car by 275 miles. How fast was going the second car?
Click here to see answer by checkley77(7035) |
Question 145506: Problem: Hooke’s Law states that the distance, d, a string is stretched varies directly with the force, F, applied to the spring. If a force of 12 pounds stretches a spring 3 inches, how far will the spring stretch when a force of 30 pounds is applied?
Click here to see answer by ankor@dixie-net.com(6691) |
Question 145512This question is from textbook College Algebra
: Scott and Laura have both invested some money. Scott invested $3,000 more than Laura and at a 4% higher interest rate. If Scott received $750 annual interest and Laura received $250, how much did Scott invest? (There are two possibilities for how much Scott invested. Enter the smaller value first. Round your answer to the nearest cent.) This question is from textbook College Algebra
Click here to see answer by stanbon(26259) |
Question 145581: In 1920, the record for a certain race was 45.9 sec. In 1950, it was 45.0 sec. Let R(t)= the record in the race and t= the number of years since 1920.
Find a linear function that fits the data.
R(t)=
(round to the nearest hundredth)
What is the predicted record for 2003?
(Round to the nearest 10th)
What is the predicted record for 2006?
(Round to the nearest 10th)
Thank you.
Click here to see answer by stanbon(26259) |
Question 145883: For a recent major league baseball game, a total of 52,000 tickets were sold. Tickets were sold in three categories: Box seats for $90 each, Bleacher seats for $40 each, and Balcony seats for $60 each. A total of $3,320,000 was collected from the sale of the tickets. The combined number of Box and Balcony seats exceeded twice the number of Bleacher seats by 10,000. Find the number of each of the three types of tickets sold.
Click here to see answer by nerdybill(2446) |
Question 145884: A bank wishes to invest a $100,000 trust fund in three sources: bonds paying an 8% annual return, certificates of deposit paying 7%, and mortgages paying 10%. The bank wishes to realize an $7800 annual return from the investment. A condition of the trust is that three times as much money must be invested in CDs as in mortgages. How much should the bank invest in each category?
Click here to see answer by nerdybill(2446) |
Question 145989This question is from textbook Thinking Mathematically
: A thief steals a number of rare plants from a nursery. On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. Finally, the thief leaves the nursery with 1 lone palm. How many plants were originally stolen? I did this one, but I am not sure if it was done correctly. My answer is 76. Sometimes I think I over think the problem.
Thank you for your help!! This question is from textbook Thinking Mathematically
Click here to see answer by ankor@dixie-net.com(6691) |
Question 145987This question is from textbook Thinking Mathematically
: Suppose that we agree to pay you 8 cents for every problem in this chapter that you solve correctly and fine you 5 cents for every problem done incorrectly. If at the end of 26 problems we do not owe each other any money, how many problems did you solve correctly? My problem with this problem is I cannot figure out how to translate it into an equation. Thank you for your help!!This question is from textbook Thinking Mathematically
Click here to see answer by ankor@dixie-net.com(6691) |
Question 146508: I am having a problem trying to solve this linear equation word problem.
Velocity of a bullet.
A gun is fired straight upward. The bullet leaves the gun at 100 feet per second (time t=0). After 2 seconds the velocity of the bullet is 36 feet per second. There is a linear equation that gives the velocity v in terms of the time t. Find the equation and find the velocity after 3 seconds.
Click here to see answer by scott8148(3382) |
Question 146521:
Ticket Sales: Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold?
Thank you
Click here to see answer by checkley77(7035) |
Question 146527This question is from textbook
: Please help me with this problem:
The sum of three numbers is 14. The largest is 4 times the smallest, while the sum of the smallest and twice the largest is 18. Use a linear system in three variables to find the three number. This question is from textbook
Click here to see answer by stanbon(26259) |
Question 146525This question is from textbook Algebra For college students
: Can anyone help??
A chair manufacturing factory determines that the cost (y) to make x number of chairs in a month equals $25,000 + $80x. The $25,000 are fixed costs that the company pays to keep the factory open whether they make chairs or not. Then in addition, the materials and direct labor to produce a chair are $80 per chair. The $80 figure is called variable costs.
The company sells the chairs for $205 each. How many chairs does the company have to sell each month to break even? The total monthly revenue from chair sales in y (dollars)=$205x.
You have two equations: one for cost and one for revenue. Break even occurs when revenue and cost are equal. Plot the two equations and determine what number of chairs makes the company break even (where the lines cross). I need to figure out the number of chairs to break even and the revenue at this number of chairs.
Please help if possible!!! I'm lost! Thank you so much.This question is from textbook Algebra For college students
Click here to see answer by fairydust1729@comcast.net(1) |
Question 146528This question is from textbook
: Five Cities Garbage charges a flat monthly fee for their services plus a certain amount for each bag of trash they pick up. A customer notices that the January bill for picking up 5 bags of trash was $25.60, while the February bill for 7 bags of trash was $27.10. Assume the relationship between the total monthly charges (C) and the number of bags of trash picked up (X) is a linear relationship. Use the data to find the formula that gives (C) in terms of (X) . Then use the formula to predict the cost for picking up 12 bags of trash in one month.This question is from textbook
Click here to see answer by stanbon(26259) |
Question 146686: using the y=mx +b equation
a runner runing at 9 mph burns 14 calories per minute. write an equation for the numberof calories burned by the runner n terms of the minutes run. use the equation to find the number of calories burned ater runing 32 minutes.
I dont thnk the 9 mph factors into this equation. I came up with y=14(32)+ 0
448 calories burned. Is this incorrect?
Click here to see answer by nerdybill(2446) |
Question 146766: Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40 miles per hour and train B is traveling at 50 miles per hour.
Train A passes a station at 2:20 pm. If Train B passes the same station at 2:32 pm, at what time will Train B catch up to train A?
Click here to see answer by stanbon(26259) |
Question 146885: Problem: To save the environment, the Lion’s Den Cafeteria sells an empty reusable 24-ounce plastic mug to students for $2.99. Using the mug, a student can get a 24-ounce soft drink for a reduced price of 69 cents.
(1) If a student buys the mug and uses it only once, then what is the cost for that one drink?
(2) If a student buys the mug and uses it twice, then what is the average cost per drink?
(3) Does the average cost per drink increase or decrease as the mug is used more and more?
(4) If the regular price of a 24-ounce soft drink is 89 cents, then when does the student start saving money?
(5) Write a rational expression for which the value of the expression is the average cost per drink and n is the number of times the mug is used.
Click here to see answer by Fombitz(2113)  |
Question 147200: In market for domestic cars in 1993 was 73%, 1996,72%, 1999,69%. Data points (3,73),(6,72),(9,69),find two linear equation for the line segments and write it as a piecewise function. Find f(7) and what f(7)means in real world terms.I tried using m=y^2-4y-x but I am doing something wrong? Any ideas.
Click here to see answer by stanbon(26259) |
Question 147210: Martha wants to buy a digital camera from her 3 month savings. To do this she needs to maintain an average saving of 300.00 in each month. She saves 450.00 in the first month and 200.00 in the second month. Find the amount she should save in the third month to buy a digital camera at the end of three months.
Click here to see answer by josmiceli(3003) |
Question 147209: Jason had to submit 5 animation projects as per his syllabus in the fina semesters. He scored 82,85,78,and 88 points out of 100 in four projects. What should be his score in the fifth project so that the average of a projects is atleast 85?
Click here to see answer by nerdybill(2446) |
Question 147506: The largest angle in a triangle is twice the degree measure of the second largest angle. One-third of the largest angle is 10 degrees larger than the difference of the other two. What is the measure in degrees of the smallest angle?
Click here to see answer by aswathytony(47) |
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