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

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Question 380437: A truck has a full tank of gas. It uses 1/3 of the gas on the first part of the journey, 10 gallons on the second journey, and 9 gallons on the third part of the journey.
There are 13 gallons left in the tank at the end. How many gallons does a full tank hold?
the answer is 48 but I don't know how to solve it Please Help!
Click here to see answer by richard1234(5390)

Question 380060: A car traveled 262 miles on a trip. During 90 miles of the trip, the car traveled through the city and had gas mileage that was 13 fewer miles per gallon than the gas mileage on the highway. If the total amount of gasoline used for the trip was 7 gallons, find the gas mileage of the car on the highway.
Click here to see answer by ankor@dixie-net.com(15649)

Question 380522: The sum of two numbers is -12.43 and their difference is 117.77

(I tried adding two negative numbers to equal -12.43, but nothing large enough to have a difference of 117.77.
Click here to see answer by mananth(12270)

Question 380549: A store mixes Kenyan coffee worth $10 per kilogram and Venezuelan coffeee worth $12 per kilogram. The mixture is to sell for $11 per kilogram. Find how much of each should be used to make a 420-kilogram mixture.
Click here to see answer by stanbon(57323)

Question 380564: At the beginning of a walk, Roberto and Juanita are 6.6 miles apart. If they leave at the same time and walk in the same direction, Roberto overtakes Juanita in 11 hours. If they walk towards each other, they meet in 1 hour. What are their speeds?
Click here to see answer by stanbon(57323)

Question 380608: draw L1 through (-4,0) and (0,6). what is the slope of any line parallel to L1? Draw L2 through the origin and parallel to L1.
Click here to see answer by ewatrrr(10682)

Question 380649: The difference of two numbers are 40. Six times the smaller one minus the larger one is 5. Find the larger number.
I really need help with this problem thank you much.
Click here to see answer by stanbon(57323)

Question 380854: When soft drinks sold for $0.80 per can at football games, approximately 6500 cans were sold. When the price was raised to $1.00 a can, the demand dropped to 4000. Assume that the relationship between the price p and the demand y is linear.
Write a linear function giving the demand y as a function of p.
Click here to see answer by Theo(3460)

Question 380667: The sum of two nubers is 20. Their difference is 4.
A. Write a system of equations that describes this situation

B. Solve by elimination to find the two numbers.
If you could just do A, and set it up that would be amazing
Click here to see answer by ankor@dixie-net.com(15649)

Question 381158: Please help me!!!!
one number is 3 less than a second number. Twice the second number is 3 less than 3 times the first. Find the two numbers.
Thank you very much for your assistance.
gloria
Click here to see answer by Jk22(389)

Question 381279: given 300 meters, what is the maximum rectangular area that can be fenced off?
Click here to see answer by richard1234(5390)

Question 381398: Brianna's family spent $134 on 2 adults tickets and 3 youth tickets at an amusement park. Max's family spent $146 on 3 adult ticktes and 2 youth tickets. What is the price of a youth ticket?
Click here to see answer by richard1234(5390)

Question 381428: a ceramics class has 75% girls and 25% boys.If there are 21 girls in the class how many boys are there in the class?

Click here to see answer by edjones(7569)

Question 381738: 5) Cable: A new 1,000 mile system of Comcast cable costs an average of $15,000/mile or $15 million to build. Basic cable with monthly service charges is$30 per month. How many homes are needed to break even? How many homes are needed to return a 10 % profit? Answer and explain.
Click here to see answer by stanbon(57323)

Question 381739: One cellular phone carrier charges $26.50 a month plus $.15 a minute for local calls. Another carrier charges $14.50 a month and $.25 a minute for local calls. For how many minutes is the cost of the plans the same?
Click here to see answer by lar(3)

Question 381781: 2/3+5/8+1/2=

Click here to see answer by Fombitz(13828)

Question 382027:
A long-distance telephone call between two cities cost $1.74 for 20 minutes. What is the rate in cents per minute?
Click here to see answer by rfer(12657)

Question 382260: I need help with Linear Equation with two variables
A rectangular lot whose perimeter is 480 feet is fenced along three sides. An expensive fencing along the lotʹs
length costs $16 per foot , and an inexpensive fencing along the two side widths costs only $9 per foot. The total
cost of the fencing along the three sides comes to $4040. What are the lotʹs dimensions?
Click here to see answer by stanbon(57323)

Question 382379: I need help with Problems Using Systems in Three Variables
A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 2 hot dogs, 3 bags of potato
chips, and 2 soft drinks for $5.50. The price of a hot dog is $0.75 more than the price of a bag of potato chips.
The cost of a soft drink is $1.75 less than the price of two hot dogs. Find the cost of each item.
Thank you soooo Much!!! =)
Click here to see answer by scott8148(6628)

Question 382453: i cant figure out to do this problem.
the instrustions say : tell whether the given ordered pairs satisfy a funtion. if so is it a funtion ?
the question : { ( 2,5 ) , (2,4) , (2,3) , (2,2) , (2,1) }
Click here to see answer by solver91311(16877)

Question 383457: The sum of two angles is 137 degrees. One angle is 25 degrees less than twice the other.
Click here to see answer by rfer(12657)

Question 383914: A new parking lot has lot spaces for 450 cars. The ratio of spaces for full-sized cars to compact cars is 11 to 4. How many spaces are for full-sized cars? how many are for compact cars?
Click here to see answer by rfer(12657)

Question 384068: The body mass index, i can used to determin an individuals risk heart disease. An index less that 25 indicates a low risk. The body in mass index is given by the formula, or model, I=700W/h2, where w= weight, in pounds and H=height, in inches. Francis weights 161 pounds and stands 76 inchs tall. What is the approimate body mass index?
Click here to see answer by mananth(12270)

Question 383959: Hello! I am needing help on a word problem.
Macro Manufacturing estimates that its profit P in hundreds of dollars is P= -2x^2 + 20x-2 where x is the number of units produced in thousands. How many units must be produced to obtain maximum profit?
Thanks so much!
Denise
Click here to see answer by Fombitz(13828)

Question 384103: Another word problem that has stumped me.
You recently started the paperwork to purchase your new home, and were just notified that you can move into the house in 2 weeks. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies. Heavy lifting and quick move, to discuss their rates. Heavy lifing chrges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additonal fees.
A. which mover provides a better deal for 2 hours of work? How did I arrive at my answer. (clueless)
B. Which mover provided a better deal for 15 hour of work? How did I arrive at that answer?
C. For what values H(hours) does quick Move offer the better deal? Express my answer as an Inequality. Explain hou I reach that answer.
I seem to get mixed up on how to use the right formulas. can you explain each step so I can understand how to do this!
Click here to see answer by Earlsdon(6287)

Question 384262: Good evening! I am trying to figure out a word problem, I hope you can help!
An enclosed gas exerts a pressure P on the walls of its container. This pressure is directly proportional to the temperature of the gas. If the pressure is 2 pounds per square inch when the temperature is 280K, identify the appropriate direct variation equation.
Thanks,
Denise
Click here to see answer by mananth(12270)

Question 384440: Swimming downstream, a swimmer can cover 0.5 mile in 6 minutes. It takes the swimmer 30 minutes to swim back up the stream. Find the speed of the swimmer in still water and the speed of the current.
Click here to see answer by ewatrrr(10682)

Question 384470: At one point, Yellowstone’s Beartooth Highway rises 315 ft over a horizontal distance of 4500 ft. Find the grade of the road.
Click here to see answer by rfer(12657)

Question 384504: Investments. An executive nearing retirement made
Two investments totaling $45,000. In one year, these
Investments yielded $2430 in simple interest. Part of
the money was invested at 4% and the rest at 6%.
How much was invested at each rate?

Click here to see answer by rfer(12657)

Question 384545: I have worked on this all day and seem not to understand where to put what to where, can you please help me?
the lumber company can convert logs into lumber or plywood, in a given day, the mill turns out twice as much units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $40 on plywood. How many of each unit must be produced and sold in order to make a profit of $12520.
Click here to see answer by rfer(12657)

Question 384592: If X units of a product cost C dollars to manufacture and ear revnue for of R dollars, the value of X where the expressions for C and R are equal is called the break-even quanity, the number of that produce zero profit. Find the break even quantity when C=12x+7200 and R=18x
How many units must be produced and sold in order to break even?
Click here to see answer by stanbon(57323)

Question 384595: y=-1/4x-2
3x-4y=24
Click here to see answer by mananth(12270)

Question 384672: If the cost of each hat is x dollars, what is the cost of y hats?
Click here to see answer by rfer(12657)

Question 384693: this is actually a digit problem.
1. the units digit of a two digit number is 6. The number with the digit in reverse order is 6 less than twice the original number. Find the number.
Click here to see answer by richard1234(5390)

Question 384766: A man is 5 times as old as his grandson. If he is sixty years older than the grandson, find their ages?
Click here to see answer by stanbon(57323)

Question 384090: a preshcool class consists of 25 children. For every 2 students who can recite the alphabet, 3 students cannot. How many students can recite the alphabet?

Click here to see answer by mtmorro(23)

Question 385284: A candy store has two types of jelly beans, one selling for $2 per pound and the other selling for $4 per pound. The beans are to be mixed to provide 100 lb of a mixture selling for $2.50 per pound. How much of each type of jelly bean should be used to form 100 lb of the mixture?
Click here to see answer by mananth(12270)

Question 385266: one pan pizza and two cheesburgers provide 2860 claories. two pan pizzas and one cheeseburger provide 2990 calories. find the caloric content of each item
Click here to see answer by mananth(12270)

Question 385320: solve
x+4y=19
5x+y+0

solve
a-b=25
3a+4b=4
Click here to see answer by texttutoring(324)

Question 385318: the sum of a number plus half of itself is 12.75 find the number.
Click here to see answer by mananth(12270)

Question 385316: roger studied for x hours. her sister studied five more than roger. between both of them, they studied 30 hours. how much did each study?
Click here to see answer by mananth(12270)

Question 385352: betsy and sheila are selling holiday wreaths to raise money for their senior trip to the grand cayman. customers can buy small wreaths and large wreaths. Betsy sold 11 small wreaths and 11 large wreaths for a total of 220. sheila sold 3 small wreaths and 14 large wreaths for a total of 203. what would be my total if i purchase 3 small and 5 large wreaths from sheila or betsy
Click here to see answer by mananth(12270)

Question 385905: Write the equation of the line perpendicular to y=4/3x-5 passing through (8,0). Write the equation in standard form Ax+By=C.
Click here to see answer by mananth(12270)

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