Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 112003: Sue Flay and Cassa Roll obtain a franchise to operate a hamburger stand for a well-known national hamburger chain. They pay $20,000 for the franchise, and have additional expenses of $250 per thousand hamburgers they sell. They sell the hamburgers for $.75 each, so they take in a revenue of $750 per thousand burgers.
Let r(x) be the number of dollars revenue they take in by selling x thousand burgers. Write the particular equation for function r.
Let c(x) be the total cost of woning the hamburger stand, including the $20,000 franchise fee. Write the particular eaquation for function c.
Click here to see answer by stanbon(57953)

Question 112164: PLS SHOW THE GRAPHICAL SOLUTION
the acme class ring co. designs and sells two types of rings: the VIP and the SST. they can produce up to 24 rings each day using up to 60 total man-hours of labor. it takes 3 man-hrs to make one VIP ring and 2 man-hrs to make one SST ring. how many of each type of ring should be made daily to maximize the co's profit, if the profit on a VIP ring is $20 and on an SST ring is $50?
A)12 VIP and 12 SST
B) 0 VIP and 20 SST
C) 4 VIP and 20 SST
D) 0 VIP and 24 SST

Click here to see answer by stanbon(57953)

Question 112143: which of the ordered pairs (-3,3) (9,0) (-3,-3)(-23,8)are solutions for the equations x+4y=9?
which graph would represent 3x+2y=6

divide write the results in simplest form 9/10 divided 12/5 =
divude write tge results in simplest form 31/5 divided 2 2/3 =
add 4 1/3+5 1/3 =
Click here to see answer by elima(1433)

Question 112148: PLEASE SHOW ME A GRAPH FOR 3X+2Y =6
GRAOH USING THE INTERCEPT METHOD 2X-5Y=10
FIND THE SLOPE OF THE LINE PASSING THROUGH THE POINTS (-5,5) AND (-3,5)
FIND THE SLOPE AND THE Y INTERCEPTS Y=-5X-4
Click here to see answer by elima(1433)

Question 112292: hey hi,
A theatre seats 2000 people and charges $10 for a ticket. At this price, all the tickets can be sold. A survey indicates that if the ticket price is increased, the number sold will decrease by 100 for every dollar of increase. what ticket price would result in the greatest revenue?
And thank you.
i will be waiting!
Click here to see answer by scott8148(6628)

Question 112455: Please help.
Solve the following system by addition. If a unique solution does not exist, state whether the system is inconsistent or dependent.
x + 5y = 10
- 2x - 10y = - 20
Thanks
JMS
Click here to see answer by Fombitz(13828)

Question 112484: You invited 56 people to your graduation party. You can afford to rent 5 tables, round and/or rectangular(each costing the same). Each round table can seat 8 people and each rectangular table can seat 12 people. How many round and rectangular tables should you rent?
....
I just dont know where to start, i'm pretty sure i need to use linear combination.
it would help if you showed me how to do it, it is killing me not knowing waht to do.

thank you very much
hopefully you get it
Click here to see answer by scott8148(6628)

Question 112550: the difference between two number is 834. If the larger number is 4 times as much as the smaller number, what is the sum of the two numbers?
Click here to see answer by ilana(307)

Question 112647: The perimeter of a rectanngle is 160ft. One fourth the length is the same as twice the width. Find the dimensions of the rectangle.
Click here to see answer by edjones(7569)

Question 112780: Anne and Nancy use a metal alloy that is 24.9% copper to make jewelry. How many ounces of a 20% alloy must be mixed with a 27% alloy to form 100 ounces of the desired alloy?
Click here to see answer by SHUgrad05(58)

Question 112778: Karin biked at 13 mph for a time but got a flat tire. She then walked at 5 mph. She traveled a total of 93 miles. Had she biked the whole time, she would have gone 117 miles. How many hours did she walk?

Click here to see answer by checkley71(8403)

Question 112779: A cruise boat travels 48 miles downstream in 3 hours and returns upstream in 6 hours. Find the rate of the stream.
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Question 112776: Marty leaves the airport in his private plane and flies due east at 186 mph. Two hours later, a jet leaves the same airport and flies due east at 434 mph. When will the jet overtake Marty's plane?
Click here to see answer by checkley71(8403)

Question 113234: I just need help setting up the equations and I can do the rest. Word problems have never been easy for me!
Substitution method or addition method from system of equations
George has two investments that yield a total of $185.60 in annual interest. The amount invested at 8% is $320 less than twice the amount invested at 6%. How much is invested at each rate?
Amount invested at 8%?
Amount invested at 6%?
Click here to see answer by bucky(2189)

Question 113313: Two angles are complementary. The sum of the measures of the first angle and half the second angle is 64 degrees. Find the measures of the angles.
Click here to see answer by stanbon(57953)

Question 113482: determine the correct half plan in each case, and complete the graph/
y>3
Click here to see answer by MathLover1(6806)

Question 113508: A father is 7 times as old as his son.2 years ago the father was 13 times as old as his son, how old are they now.
Click here to see answer by checkley71(8403)

Question 113583: Translate the following statement into an algebraic equaion. Let x represent the number. 6 times a number is 14 more than that number.

Click here to see answer by stanbon(57953)

Question 113709: A contractor uses 42 workers on a job. For every 2 electricians he needs 5 carpenters. What is the total number of carpenters that he has employed on the job?
Click here to see answer by checkley71(8403)

Question 113966: Suppose that the cost C, in dollars, of producing x chairs

is given by C= 2x^2 - 40x + 2400. How many chairs can be produced for $4650?

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Question 114414: There is a linear relationship between the wind speed at a given temperature and what that temp. "feels like". A higher wind speed will make the temp. feel colder. The table below shows what an unknown temperature t "feels like" at different wind speeds.
WIND SPEED (mi/h) 5 10 15
"FEELS LIKE" (F) 36 34 32
Write an equation in slope-intercept form relating the wind speeds to the unknown temperature.
Please show work and explain process. I have no idea what to do.
Thanks.
Click here to see answer by stanbon(57953)

Question 114489: There were only two candidates who participated in an election. One contestant got 62% votes and was elected by a margin of 144 votes. The total number of votes were:

Click here to see answer by kit_canlas(1)

Question 114488: In a two digit number, unit’s digit is 3 more than the ten’s digit. The number formed by interchanging the digits and the original number are in the ratio 7 : 4. Find the number
Click here to see answer by stanbon(57953)

Question 114486: Make u as the subject in 1/u+ 1/v = 1/f

Click here to see answer by bucky(2189)

Question 114486: Make u as the subject in 1/u+ 1/v = 1/f

Click here to see answer by MathLover1(6806)

Question 114485: ‘n’ litres of oil was poured into a tank and it was still e% empty. How much oil must be poured into the tank in order to fill it to the brim.

Click here to see answer by stanbon(57953)

Question 114639: A 17 foot ladder leans against a building and reaches a height of 14 feet on the building. The bottom of the ladder is how far away from the bottom of the building?
Click here to see answer by edjones(7569)

Question 114797: Hi, I'm having trouble with this particular math problem and it would be very helpful if you can help me. The problem is: John and Mary leave their house at the same time and drive in opposite directions. John drives at 60 mi/h and travels 35 mi farther than Mary, who drives at 40 mi/h. Mary's tyip takes 15 min longer than John's. For what length of time does each of them drive?
Click here to see answer by ankor@dixie-net.com(15746)

Question 115462: Fifi and Maxx together weigh 72 pounds
Maxx and Sparky have a combined weight of 86 pounds
Sparky and Fifi have a combined weight of 35 pounds
So how much does each dog weigh?
Click here to see answer by MathLover1(6806)

Question 115833: Ronald wants to sell his car through a broker who charges a commission of 10% of the selling price. Ronald still owes $11,025 on the car. Ronald must get enought to at least pay off the loan. What is the range of the selling price?
Click here to see answer by checkley71(8403)

Question 115878: Solve the formula for the specified variable.
c= square root of a^2+b^2 for p
Click here to see answer by checkley71(8403)

Question 115873: Solve. Round results to the nearest thousandth.

7x2 - 6x + 3 = 0
Click here to see answer by checkley71(8403)

Question 115628: one week she bought 1 pound of cashews and 2 pounds of pecans and paid $2.40
the next week she bought 4 pounds of almonds and one pound of cashews paying $3.60
a week later she bought 3 pounds of walnuts 1 pound of cashews and 1 pound of almonds for $2.10
how much would she have to pay on her next trip to the grocery store if she were to buy 1 pound of each 4 types of nuts? [hint: using the initial letter of the name oeach type of nut(i.e:c,p,a,and w)will ditinguish the unknown values in the equation that you form]
Click here to see answer by ankor@dixie-net.com(15746)

Question 116269: The larger of the two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller, the result is 40. Find the numbers?
2.The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and the ice cream together have 500 calories. How many calories are in each?

The teacher din't get it from our text book. at bottom of paper it says objective 6-e: to solve word problems using systems of equations. Alegbra with pizzazz
Click here to see answer by edjones(7569)

Question 116533: 1. If the fixed cost is $210.00 and the variables cost $30.00.
The cost equation is: C=30x + 210--- is this correct?
2. What is the cost of producing 37 items? ___________ (fill in the blank.)
3. If the budget is limited to $3589.42 how many items can be made?_______ items. Fill in the blanks.
For question 2 & 3 use the numbers thats on the 1st question. My answer for the 2nd, I got $1320.00? is this correct? and 3rd is 113 items? is this correct?
Thank you...

Click here to see answer by stanbon(57953)

Question 116609: Three towns a b c lie in a straight road in the order. The distance from B to C is 6 miles more than twice the distance from A to B. The distance from A to C is 2 miles more than 4 times the distance from A to B. What is the distance from A to b?
Click here to see answer by josmiceli(9817)

Question 116829: The Randolphs used 12 more gal of fuel oil in October than in September and twice as much oil in November as in September. If they used 132 gal for the 3 months, how much was used during each month?
Click here to see answer by josmiceli(9817)

Question 116826: Yuri has a board that is 98 in. long. He wishes to cut the board into two pieces so that one piece will be 10 in. longer that the other. What should the length of each piece be?
Click here to see answer by josmiceli(9817)

Question 116831: Number Problem. The sum of two consecutive integers is 145. Find the two intergers.
Click here to see answer by josmiceli(9817)

Question 116899: Rose's garden is in the shape of a trapezoid. If the height of the trapezoid is 16m, one base is 20m, and the area is 224m second power, find the length of the other base.
Click here to see answer by checkley71(8403)

Question 116922: three times the width of a certain rectangle exceeds twice its length by three inches and four times its length is twelve more than its perimeter.Find the dimensions of a rectangle.
Click here to see answer by edjones(7569)

Question 117168: The standard equation of a line is represented by the equation Ax+By+C=0. What can be used to determine the slope of the line?
Click here to see answer by jim_thompson5910(28699)

Question 117169: The point-slope form of an equation of a line is represented by y-y1=m(x-x1). What can be used to determine the slope?
Click here to see answer by checkley71(8403)

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