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

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Question 473048: the amount of rice cake mix to be used varies directlywith the number of people who partakes of this food. suppose that it takes 7 cups of mix to serve 10 people
a.) write the function expressing the number of cups of cake mix in relation to the number of people
b.) how many cups of cake mix must be prepared fo people
c.)about how many people can be served with 12 cups of cake mix
Click here to see answer by stanbon(75887)

Question 473001: two circular flower beds have a combined area of 29/2pie metre. the sum of the circumferences of the two flower beds is 10pie metre. determine the radius of each flower bed.
Click here to see answer by ankor@dixie-net.com(22740)

Question 473204: x(x+1)-5(x+1)
Click here to see answer by rfer(16322)

Question 473197: 7x+9y=21
3x-9y= -81
Click here to see answer by jim_thompson5910(35256)

Question 473502: In chemistry class, 5 liters pf a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution . How many liters of the 10% solution are needed ?
Thank you for the help!
Click here to see answer by stanbon(75887)

Question 473506: The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If 3-kg object stretches a spring 57 cm , how far will a 14-kg object stretch the spring ?
Click here to see answer by jorel1380(3719)

Question 473625: A boat takes 5 hours to go 300 km downstream and it takes same time to go 150 km upstream. calculate the speed of boat in still water and speed of stream.
Click here to see answer by Alan3354(69443)

Question 473694: how do you write a linear equation in two variables for this situation. Cost of cell phone is $34.99/month plus $.09/long distance minute used?
Click here to see answer by stanbon(75887)

Question 473706: The gas mileage, M, of a compact car is a linear function of the speed,s, at which the car is driven, for 40 <-s90<-(not sure how to get the line under the <). From the graph we see that the gas mileage for the compact car is 45 miles per gallwon if the car is driven at a speed of 40 mph and the gas mileage for the compact car is 20 miles per gallon if the car is friven at a speed of 90 mph. find the linear function M(s) in sleop intercept form. Interpret the slope found in a. Find and interpret M(60).
Click here to see answer by stanbon(75887)

Question 474088: If r=5z and 15z=3y, then in terms of y, what does r=?
Click here to see answer by rfadrogane(214)

Question 474474: the distance measured on a map varies directly with the actual distance. If 1 cm represents 25 km,how many kilometers are represented by 7 cm?
Click here to see answer by Alan3354(69443)

Question 474934: the smaller of the two consecutive even integer is less than or equal to 4 more than twice the larger

Click here to see answer by mananth(16949)

Question 474986: a spring stretches to 22cm with a 70g weight attached to the end. with a 105g weight attached, it stretches to 27cm. which equation models the distance y the spring stretches with weight x attached to it?

Click here to see answer by htmentor(1343)

Question 475233: A town's population increase in one year from 100,000 to 120,000. If the population is growing linearly at a steady rate, what will the town's population be at the end of three years?
Click here to see answer by stanbon(75887)

Question 475543: Number Problem: The sum of two numbers is 70.
The larger number is two more than three times the
smaller number. Find the two numbers.
Click here to see answer by rfer(16322)

Question 476003: Lisa invested $8000, part at 4% and the rest at 5% per year. How much did she invest at each rate if her total return per year on the investments was $380?
Click here to see answer by josmiceli(19441)

Question 476000: A gas station owner has 30 gallons of gasoline for which he charges $3.03 per gallon and
some for which he charges $3.74 per gallon. How many gallons of the $3.74 brand must the owner mix in to produce gasoline that costs $3.28 per gallon?
Click here to see answer by josmiceli(19441)

Question 476013: 2y+3x=7 and 8y+12x=28
Use either elimination or substitution to find the solutions (if any).
Graph the two lines, and list the x-intercepts, y-intercepts, and points of intersection.
In order to earn credit for the slope and intercepts, you must explicitly write each of these sentences, filling in the blanks with the correct values for that problem:
A. For equation ___________
1. The x-intercept is ___.
2. The y-intercept is ___.
3. The slope is ___.
B. For equation ___________
1. The x-intercept is ___.
2. The y-intercept is ___.
3. The slope is ___.

Click here to see answer by jorel1380(3719)

Question 476029: A mechanic charged $45 an hr , plus $225 for the parts if the total bill was 450, how long did the job take ?
Click here to see answer by jorel1380(3719)

Question 476031: A mechanic charged $45 an hr , plus $225 for the parts if the total bill was 450, how long did the job take ?
Click here to see answer by Tatiana_Stebko(1539)

Question 476008: 3x +7y=3 and 12x +28y =16
Here is what they want.
Use either elimination or substitution to fine the solutions (if any).
Graph the two lines, and list the x-intercepts. y-intercepts, and points of intersection.
In order to earn credit for the slope and intercepts, you must explicitly write each of these sentences, filling in the blanks with the correct values for that problem.
A. For equation______
1. The x-intercept is_____
2. The y-intercept is _____
3.The slope is_______
B. For equation______
1. The x-intercept is_____
2. The y-intercept is _____
3.The slope is_______
Please help me to do this and understand how its done.
Thank you

Click here to see answer by MathLover1(20855)

Question 476131: C=m h + b One company charges an initial fee of $200 plus $50 per hour for labor. The other company fee is $300 plus $25 per hour.
Click here to see answer by rfer(16322)

Question 476499: An investor deposits $1500 in a mutual fund that returns 11% annually. Determine the time required for the investment to double in value.

Click here to see answer by jorel1380(3719)

Question 476465: a candy store wishes to mix two types of candy to get 5 pounds of $2 per pound candy. if candy A costs $3.20 per pound and candy B costs $1.70 per pound, how much of each type should they use?
Click here to see answer by robertb(5830)

Question 476439: A student inherited $5000. She invested part of it at 10% and the rest at 8%. If her
total interest amounted to $460, how much did she invest at each rate?
Click here to see answer by mananth(16949)

Question 476700: i need help with factoring because i forgot it my 8th grade year and this is my homework over the summer. 33. 5a to the second power b o the second power c-15abc to the second power. 34. x to the second power -7x+6. 35. 2r to the second power -3r-20. -Thanks
Click here to see answer by stanbon(75887)

Question 476964: A ship travels between two ports. The cost of fuel depends on its speed as follows:
C= $100(ax+ b + 10)
-
x
where x is the average speed of the ship in knots (x > 0) and a and b are constants. If the ship travels at 4 knots the cost of fuel is $9000 but at 6 knots it is $7000.
a)From two linear equations consist of a and b.
b)Find the values of a and b.
c)If it speed is 10 knots, what is the cost of the fuel?
Click here to see answer by josmiceli(19441)

Question 476963: A coffee powder manufacturer works out the variable cost of each kilogram of coffee powder is $2.50 with a fixed cost of $30. He sells it to his distributors at price of $3 per kilogram.
a) If the amount of coffee powder is x kg,in the answer sheet, write the cost function (C) and the revenue (R) for the manufacturer.
b)What is the breakeven point for the manufacturer?
Click here to see answer by Theo(13342)

Question 476972: it took the pilot an hour and a half to make a flight of 240 miles when flying a against headwind. The return trip took an hour and twelve minutes(the wind had not shifted nor changed its speed.) What it the speed of the wind?
Click here to see answer by mananth(16949)

Question 477048: Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 13% protein ?
Click here to see answer by stanbon(75887)

Question 477122: Suppose that the width of a rectangle is 5inches shorter than the length and that the perimeter of the rectangle is 50 inches. The formula for the perimeter of a rectangle is p=2L+2W. set up an equation invlving L, the length if the rectangle and slove this linear equation algebricallt to find the lenght and width.
Click here to see answer by ankor@dixie-net.com(22740)

Question 477289: Evaluate 2 � x(9 + x2) for x = -2. Please show all of your work.
Click here to see answer by richard1234(7193)

Question 477481: how do you get the answer of "six more than a number divided by five is seven?"
Click here to see answer by josmiceli(19441)

Question 477653: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have?
For the equation I got D+N=5.65 and D^2+N^8=10.45
Am I any were close? I still am not sure how to find the number of dimes.
Click here to see answer by stanbon(75887)

Question 477893: Half of the cows are grazing grass .Three-fourth of the remaining are sleeping and 9 cows are drinking water from the pond.Find the total number of cows.
Click here to see answer by mangopeeler07(462)

Question 477895: Walt made an extra $9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at 8% annual rate of interest. At the end of the year, he made a total of $770 in interest. How much was invested at 8%?

Click here to see answer by mangopeeler07(462)

Question 477912: What does "two times as many apples than there are oranges" look like in equation format?
Click here to see answer by ewatrrr(24785)

Question 477900: On the first day of school, the percentage of boys in a particular class is 60%. During the school year,six girls move away, and are replaced in the class by six boys, this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day.

I am completely lost on this one.
Click here to see answer by mangopeeler07(462)

Question 478031: This week in class we are dealing with negative exponents and solving radical expressions. These are commonly used in many different formulas.
Part a: Solve for x:
a=bx^(-2)
Part B:
Given the following information, solve for b: a = 1000, x = 2325
Also: a = 1000, x = 245
2.
The Pythagorean Theorem is a^2+b^2=c^2.
Solve the equation for b.
Part 2: If c = 225, and a = 121, solve for b.

Click here to see answer by stanbon(75887)

Question 478304: Tom's home is 1,800 m from his school. One morning he walked part of the way to school and then ran the rest. If it took him 20 minutes or less to get school, and he walks at 70m/min. and runs 210m/min how far did he run?
Click here to see answer by lwsshak3(11628)

Question 478665: In 1960, the life expectancy in the UK was 71.1 years. In 2008, it was 79.9 years. Let F(t) = life expectancy and t = the number of years since 1960.
a) Find a linear function that fits the data.
b) Use the function of Part (a) to estimate the life expectancy in 2010.

Click here to see answer by mananth(16949)

Question 478703: Simplify.
y � 11 � 8y + 2
Click here to see answer by Alan3354(69443)

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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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