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Tutors Answer Your Questions about Linear Equations And Systems Word Problems (FREE)
Question 66585: I just like someones opinion if you can check them for me to see if I am correct. thanks.
Directions: Complete the ordered pairs so that each is a solution for the given equation.
(0, ), ( ,3/4 ), ( ,0), ( 8/3, )
Pair:(0, ) = 3(0) + 4y = 12
4y = 12
4y / 4= 12/4
y = 3
Pair:( , 3/4)= 3x + 4(3/4) = 12
3x +3 = 12
-3 -3
3x = 9
3x/3 = 9/3
x = 3
Pair: ( , 0)= 3x + 4(0) = 12
3x =12
3x/3 = 12/3
x = 4
Pair: (8/3, )= 3 (8/3) + 4y = 12
8 + 4y =12
-8 -8
4y = 4
4y/4=4/4
y = 1
My answer:
All solutions are: (0,3), (3, 3/4),(4,0), (8/3,1)
Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula F=9/5C + 32 . What is the Fahrenheit temperature that corresponds to each of the following Celsius temperatures:
-10, 0,15, 100?
My answers For:
-10 is F=14
0 is F=32
15 is F=59
100 is F=212
Business and finance. When x number of units are sold, the price of each unit (in dollars) is given by p=-x/2 + 75. Find the unit price when
the following quantities sold: 2, 7, 9, 11
My answers for:
2 is P=$74
7 is P=$71.50
9 is P=$70.50
11 is P=$69.50
Find the slope of the line through the following pairs of points.
(-5, -3) and (-5,2)
My answer is:
The slope is undefined.
Find the slope of the line through the given points.
Points are: (2,4) and (6,3)
MY answer: slope is = -1/4
Points are: (2,1) and (2,7)
My answer: Slope is=undefined.
find the slope of
Points are: (0,5) and (-3, -1)
My answer: Slope is=2
find the constant of variation k.
m varies directly with n; m=144 when n = 8
m = kn
144 = k (8)
144/8=k(8)/8
k= 18
Business and finance. The revenue for a sandwich shop is directly proportional to its advertising budget. When the owner spent $2000 a month on advertising, the revenue was $120,000. If the revenue is now $180,000, how much is the owner spending on advertising?
Formula: rev = k (ad bud)
120,000 = k(2000)
k = 60
Equation: rev = 60 (ad bud)
180,000 = 60(ad bud)
Advertising budget = $3000 this is how much the owner is spending on advertising budget.
Click here to see answer by funmath(2873)   |
Question 66815This question is from textbook 
: I am having trouble figuring out how to go about creating an equation or inequality representing a linear graph of a smoker age 29 that has smoked for 12 years showing the slope in a graph. Is this possible?
Can you help me with this. Thanks for your any assistance it is appreciated!This question is from textbook
Click here to see answer by stanbon(26259) |
Question 67116: Business and finance. In planning for a new item, a manufacturer assumes that
the number of items produced x and the cost in dollars C of producing these items
are related by a linear equation. Projections are that 100 items will cost $10,000 to
produce and that 300 items will cost $22,000 to produce. Find the equation that
relates C and x.
Click here to see answer by funmath(2873) |
Question 67820: my problem is: Luke has $5.00 more than Sam, together they have $73.00. How much does each have. Explain the equation.
I know the answer is $34.00 and $39.00, but i don't know how to write it out.
Thank you
Click here to see answer by stanbon(26259) |
Question 67820: my problem is: Luke has $5.00 more than Sam, together they have $73.00. How much does each have. Explain the equation.
I know the answer is $34.00 and $39.00, but i don't know how to write it out.
Thank you
Click here to see answer by Earlsdon(4898) |
Question 67702: Draw the appropriate graphs in each of the following:
A small frim produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant's capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which X is the number of AM radios and Y is the number of AM/FM radios.
Thanks
Click here to see answer by ankor@dixie-net.com(6691)  |
Question 67658: The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 278 people entered the park, and the admission fees collected totaled 792 dollars. How many children and how many adults were admitted?
A man invests his savings in two accounts, one paying 6 percent and the other paying 10 percent simple interest per year. He puts twice as much in the lower-yielding account because it is less risky. His annual interest is 5500 dollars. How much did he invest at each rate?
Your answer is
Country Day's scholarship fund receives a gift of $ 130000. The money is invested in stocks, bonds, and CDs. CDs pay 3.25 % interest, bonds pay 3.6 % interest, and stocks pay 11.9 % interest. Country day invests $ 15000 more in bonds than in CDs. If the annual income form the investments is $ 7445 , how much was invested in each vehicle?
Click here to see answer by baseball35(2) |
Question 68164: The cost of producing a number of items x is given by C=mx+b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item)
a.) if the fixed cost is $40 and the variable cost is $10, write the cost equaton
Click here to see answer by funmath(2873) |
Question 68750: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities.
Thanks for any help you can provide.
Click here to see answer by stanbon(26259) |
Question 69242: Question:
Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest a different rates?
So far, I have:
x(.12) + y(.10)= $130
x + y = $134
Click here to see answer by stanbon(26259) |
Question 69242: Question:
Jane invested some amount at the rate of 12% simple interest and some other amount at the rate of 10% simple interest. She received yearly interest of $130. Randy also invested in the same scheme, but he interchanged the amounts invested, and received $4 more as interest. How much amount did each of them invest a different rates?
So far, I have:
x(.12) + y(.10)= $130
x + y = $134
Click here to see answer by checkley75(3666) |
Question 69241: HELP!!
Question:
A professor started a project with a group of students, 60% of whom were boys. Due to some unavoidable reasons, six girls couldn't turn up, so the professor had to make some changes in the group. He admitted six boys. In doing so, the percentage of boys in the project increased to 75%. Find the number of boys and girls involved in the project initially.
So far, I have:
x(.60) + y(x-6)= ?
Click here to see answer by stanbon(26259) |
Question 69240: Please help! I don't know where to begin.
Question:
An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork.
So far, this is what I have:
x + y = $1520
x(.25) + y(.10)= $1520
Click here to see answer by stanbon(26259) |
Question 69240: Please help! I don't know where to begin.
Question:
An art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25% on the other artwork. Find the actual cost of each artwork.
So far, this is what I have:
x + y = $1520
x(.25) + y(.10)= $1520
Click here to see answer by ankor@dixie-net.com(6691) |
Question 69403: In 1980 the population for VA increased by 34% totaling 273.1 million residents than in 1969, what was the population in 1969?
I tried the following equation to solve, but, it's not correct according to the answer in my book:
.34x=273.1
Click here to see answer by stanbon(26259) |
Question 69566: The problem is:
You have purchased a flower shop. The previous owner's records for the past three years show the average monthly cost was $5400. The average monthly revenue was $8600. You paid $153,600 for the shop.
Write an equation for the revenue of the shop after m months.
Click here to see answer by josmiceli(3003) |
Question 69856: the table below shows the average yearly income, in dollars of individuals based on years of schooling
Years of schooling, x - average income, I
8 - $16000
10 - $19000
12 - $25000
14 - $28000
Model the data with a linear function using 10 years and 14 years and estimate the average yearly income for an individual with 16 years of schooling using this function. I would like to know, how do I set this problem up.
Click here to see answer by ankor@dixie-net.com(6691) |
Question 70072: please explain...adult tickets for a play cost $20 and child ticket cost $1...if there were 26 people at a performance and the theater collected $349 from ticket sales, how many children attended the play?
x=adult ticket for the play
y=child ticket for the play
20x + 1y = 26
is this the correct way to set up equation because I am getting rather confused.
Click here to see answer by stanbon(26259) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240
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