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Question 408437: Brenda plans to make blue and purple scarfs in 2 two sizes: medium and large. She has a total of 60 yards of fabric for each color. She will need 1/4 of a yard for medium scarves and will need 1/2 a yard for large scarves. She also wants to add ribbon as a trimming to her scarves. She has a total of 240 yards of ribbon in each color. For the medium scarves, she will need 1 yard of ribbon and for the large, 2 yards. Set up two equations to solve for the number of scarves per color that can be made.
I am unsure of the equation to use.
Thus far, I have:
m=medium scarves and l=large scarves
1/4x+1/2y=60
1x+2y=240
This does not look like the appropriate form. Am I on the right track?

Click here to see answer by ankor@dixie-net.com(15638)

Question 408468: I need to figure out how to put this into an equation form, then I believe I can solve it. Can someone give me a hand, please.

SALES IN MILLIONS
2002 = 4.02
2003 = 5.99
2004 = 9.18
2005 = 12.63
2006 - 14.35
A. Use the information for the years 2002 and 2006 to find an equation that models the data. Let x=2 represent 2002, x=6 represent 2006, and y represent the total sales (in millions of dollars). Write the equation, in slope-intercept form
B. Use the equation from part (a) to approximate total sales for 2004 to the nearest dollar. How does your results compare to the actual value, 9.18 million dollars?

Click here to see answer by graphmatics(170)

Question 408508: I need to lose weight. I figure I can accomplish this by eating less calories per week. By the 4th week I was eating 2700 calories per day. By the 7th week I was eating 2100 calories per day.
a. Let x = week number. Calculate the linear equation that calculates the number of calories per week consumed.
b. In which week will I reach my goal of 1500 calories per day?

Click here to see answer by stanbon(57246)

Question 408711: Tickets to a local movie were sold at $4 for adults and $2.50 for students. If 59 tickets were sold for a total of $222.50, how many student tickets were sold?
Click here to see answer by mananth(12270)

Question 408604: your family goes to a restaurant for dinner.There are 6 people in your family.Some order the chicken dinner for $14.80 and some order the steak dinner for $17.If the total bill was $91, how many people ordered each type of dinner?
Click here to see answer by richard1234(5390)

Question 408886: As a bird flies upward, it drops a berry at a height of 600 feet above the ground. The equation h(t)=-16t^2+8t+600 describes the height "h", of the berry in feet "t" seconds after it is dropped. Ignoring air resistance, how long does it take the berry to hit the ground?
Click here to see answer by nerdybill(6950)

Question 408888: An egg is dropped fron a height of 80 feet. Ignoring air resistance, the velocity of the egg increases at the rate of 32 feet per second each second it falls. The function h(v)=-1/64v^2+80 can be used to find the height, h, of the egg in feet when it has reached a velocity of 'v' feet per second. What is the velocity of the eff to the nearest foot per second when it is 5 feet above the ground?
Click here to see answer by nerdybill(6950)

Question 408890: A batter hits a baseball and runs toward first base. Lorenzo runs toward the ball to catch it before it hits the ground. Ignoring wind resistance, the equation h(t)=-16t^2+42t+3.5 can be used to find h, the height of the ball in feet, using t, the time in seconds after it is hit. How many seconds after the ball is hit does Lorenzo have before the ball hits the ground?
Click here to see answer by nerdybill(6950)

Question 408924: A baseball team has home games on Wednesday and Satuarday. The two games together earn $ 5182.50 for the team. Wednesdays game generates 142.50 less than Saturdays game. How much money was taken in at each game.
How much money did Wednesdays game generate?______________
How much money did Satuardays game generate?________________
Click here to see answer by ewatrrr(10682)

Question 409072: Beth has the following grades 81%, 88%, 90% 86% on her first four math quizzes. What grade would she need on her next math quiz to have an average of a B (87-90)?

Click here to see answer by rfer(12647)

Question 409258: Can you please help my daughter with some homework. It is very late and this is due tomorrow. Thank you so much.
#1 In 1990, the population in a certain town was 45,000 people. In 2003 the same town now has 39,750 people.
a) write an equation that models the number of people, P, in terms of the year, t. Let t = 0. Represent 1990.
b) What does the y-intercept represent?
c) What will the population be in 2005?
#2 In 1999, Hasbro made 4.4 million star wars figures for the release of Episode I. In 2002, they made 3.6 million figures for the release of Episode II.
a) write a linear equation that models the number of figures made, y, in terms of the year x. Let x=0 represent 1990.
b) what does the y-intercept represent?
c) How many Star Wars figures would you expect Hasbro to have released in 2005 for the release of Episode III?
Click here to see answer by josmiceli(9661)

Question 409678: I am needing some help with this word problem.
in solving the equation (x+3)(x+1)=48, Eric stated the solution would be x+3=48=>x=45
or
(x+1)=48=>x+47
However, at least one of these solutions fails to work when substituted back into the original equation. Why? Help Eric; solve the problem and explain. Remember to show all work.
Click here to see answer by edjones(7569)

Question 409681: Please help;
Use the discriminant to determine weather the following equations have solutions that are:
A) two different rational solutions
b) two different irrational solutions
c) exactly one rational solution
D) two different imaginary solutions
25x^2=10x-1
Click here to see answer by edjones(7569)

Question 409767: I have a lemonade stand and charged $1.00 per cup and sold 48 cups. When I raised the price to $2.00 per cup I only sold 27 cups. I need to write an equation for the number of cups I sold as a function of the price I charged. "C" would be for the number of cups and "P" would denote the price I charged. I have to assume the function is linear. I am stumped ---- can you help???
Click here to see answer by stanbon(57246)

Question 409852: The sum of the digits of a two-digit number is 7. The number formed by reversing the digits is two more than double the original number. Find the original number.
Click here to see answer by josmiceli(9661)

Question 410005: In your own words, explain two ways to determine if an equation is linear.

Click here to see answer by richard1234(5390)

Question 410183: the difference of two numbers is 15. Five times the smaller is the same as 9 less than twice the larger. Find the numbers. HELP!!!!
Click here to see answer by josmiceli(9661)

Question 410176: if 3,016 large paper clips are about 6 kilograms,about how much does 1 large paper clip weigh

Click here to see answer by checkley79(3050)

Question 410252: you are traveling to your mothers house that is 234 miles away. if you are currently twice as far as from your house as you are from your mothers house how far have you traveled. round to the nearest tenth mile.
Click here to see answer by rfer(12647)

Question 410272: A dorm room at a college your sister is considering seems small. The room is rectangular and has a perimeter of 42 feet. The room is 4 feet longer than its width. What are the dimensions of the room?
Click here to see answer by rfer(12647)

Question 410485: The difference between two numbers is 6. If you double both numbers, the sum is 36. Find the two numbers

Click here to see answer by rfadrogane(214)

Question 410519: Irene's present age is 1/2 of Michele's present age. In 12 years, Irene's age will be 5/8 of Michele's age. Find their present ages.
Click here to see answer by ankor@dixie-net.com(15638)

Question 410868: the sum of two numbers is 25. their difference is 7.find number
Click here to see answer by armstrkl(28)

Question 410874: cory has $24.00 more than twice as much as stan does. together they have $150. how much money does each have.
Click here to see answer by stanbon(57246)

Question 410978: Hi there,
I was hoping you could help me figure out how to go about solving this problem:
"A B747 aircraft flew 6 hours with the wind. The return trip took 7 hours against the wind. If the speed of the plane im still air is 13 times the speed of the wind, find the wind speed and the speed of the plane in still air."
It was a question my entire math class was stuck on figuring out and it's been bothering me that we still can't get it.
Thanks
-S
Click here to see answer by ankor@dixie-net.com(15638)

Question 411190: Hi can anyone out there please help me with this question.
The second angle of a triangle is four times the first and the third is 5° more than twice the first. Find the measure of the angle.
Click here to see answer by rfer(12647)

Question 411185: Hi can anyone out there please help me with this word problem.
A piece of rope 5 m long is cut into two pieces so that one piece is 3/5ths as long as the other. Find the length of each piece.
Click here to see answer by edjones(7569)

Question 411188: Hi can i get some help with this question.?
The product of 6 and nine times a number is the same as the difference of ten times the number 2. What is the number?
Click here to see answer by stanbon(57246)

Question 410949: ANY HELP WITH THIS WOULD BE MUCH APPRECIATED!!! ENGLISH AND READING ARE MY STRONG SUIT BUT MATH IS NOT, SO I REALLY NEED THE HELP HERE.JUST TRYING TO GET THROUGH THE CLASS. THANK YOU SO MUCH IN ADVANCE FOR ANYONE THAT IS WILLING TO TAKE THE TIME AND TACKLE THIS SINCE IT'S KIND OF LENGTHY. THERE ARE FOUR QUESTIONS TOTAL. THANKS YOU AGAIN. I REALLY APPRECIATE IT!!
BRIDGET

Polynomials
Retail companies must keep close track of their operations to maintain profitability. Often, the sales data of each individual product is analyzed separately, which can be used to help set pricing and other sales strategies.

1. In this problem, we analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose a market research company finds that at a price of p = $20, they would sell x = 42 tiles each month. If they lower the price to p = $10, then more people would purchase the tile, and they can expect to sell x = 52 tiles in a month’s time. Find the equation of the line for the demand equation. Write your answer in the form p = mx + b. Hint: Write an equation using two points in the form (x,p).
A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
b. Substitute the result you found from part a. into the equation R = xp to find the revenue equation. Provide your answer in simplified form.
The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s cost for a set of tile is $6 each. Let x represent the number of tile sets.

c. If b represents a fixed cost, what value would represent b?
d. Find the cost equation for the tile. Write your answer in the form C = mx + b.
The profit made from the sale of tiles is found by subtracting the costs from the revenue.
e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation.

f. What is the profit made from selling 20 tile sets per month?
g. What is the profit made from selling 25 tile sets each month?
h. What is the profit made from selling no tile sets each month? Interpret your answer.
i. Use trial and error to find the quantity of tile sets per month that yields the highest profit.
j. How much profit would you earn from the number you found in part i?
k. What price would you sell the tile sets at to realize this profit? Hint: Use the demand equation from part a.

2. The break even values for a profit model are the values for which you earn $0 in profit. Use the equation you created in question one to solve P = 0, and find your break even values.

3. In 2002, Home Depot’s sales amounted to $58,200,000,000. In 2006, its sales were $90,800,000,000.
a. Write Home Depot’s 2002 sales and 2006 sales in scientific notation.
You can find the percent of growth in Home Depot’s sales from 2002 to 2006 by following these steps:
• Find the increase in sales from 2002 to 2006.
• Find what percent that increase is of the 2002 sales.
b. What was the percent growth in Home Depot’s sales from 2002 to 2006? Do all your work by using scientific notation.
The Home Depot, Inc. (2007, March 29). 2006 Annual Report. Retrieved from http://www6.homedepot.com/annualreport/index.html

4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 12 feet across and 8 feet tall. How long should the pieces of PVC plumbing pipe be?

Click here to see answer by richard1234(5390)

Question 411251: Please help me solve this equation.
One number is 4 plus one-half of another. The sum of the numbes is 31. Find the numbers.
I need help setting up the formula correctly, then I can solve it. It's the 1/2 that is confusing me. THANK YOU!!
Click here to see answer by ankor@dixie-net.com(15638)

Question 411344: If 6 is subtracted from three times a number, the difference is twice the number. What is the number.

Click here to see answer by shree840(260)

Question 411778: Ling invested some money at 7% interest. Ling also invested $74 more than 4 times that amount at 13%. How much is invested at each rate if Ling receives $828.54 in interest after one year? (Round to two decimal places if necessary)
Click here to see answer by mananth(12270)

Question 411870: One angle in a triagle is 10 degrees more than the smallest angle in the triangle, while the other angle is 20 degrees more than the smallest angle. Find the measures of the three angles.
Click here to see answer by rfer(12647)

Question 411882: How many pounds of a certain alloy containing 35 percent must be melted with another alloy containing 65 percent silver to obtain 50 pounds of an alloy containing 50 percent silver?
Click here to see answer by mananth(12270)

Question 411842: I have a jar full of nickels it weighs 61.5 lbs. How much money is in the jar?
We don't know how much the jar weighs.
Thank you smart-ones
Lilianne
Click here to see answer by scott8148(6628)

Question 411851: A travel agency offers two Boston outings. Plan A includes hotel accommodations for three nights and two pairs of baseball tickets worth $556.40. Plan B includes hotel accommodations for five nights and four pairs of baseball tickets worth $973.
Let x represent the cost of one night's hotel accommodation and let y represent the cost of one pair of baseball tickets. Write a system of equations you could solve to find the cost of one night's hotel accommodation and one pair of baseball tickets.
Solve the system.
The yellow pages identify two different local electrical businesses. Business A charges $50 for a service call, plus an additional $39 per hour for labor. Business B charges $32 for a service call, plus an additional $45 per hour for labor.
Let x represent the number of hours of labor and let y represent the total charge. Write a system of equations you could solve to find the length of a service call for which both businesses charge the same amount.
Solve the system.
Which company would you use? Why?
Click here to see answer by mananth(12270)

Question 411917: a fraction has a value 3/4. if 4 is added to its numerator and 8 is subtracted from its denominator, the value of the resulting fraction is 1. what is the original fraction?
Click here to see answer by stanbon(57246)

Question 411928: the length of a rectangle is 3 cm less than four times its width. The perimeter of the rectangle is 34 cm. Find the dimensions of the rectangle.
I have been out of school for quite some time so if you could help me break these type of problems down it would be a big help
Click here to see answer by sudhanshu_kmr(1152)

Question 412097: Would the set of ordered pairs (x,y) where x = the first name of people in this course
and y = the birth dates of people in this course define a function? Why or why not
Click here to see answer by solver91311(16868)

Question 412123: A theater has 80 seats. On opening night, they sold out, selling adult tickets for $12 each and child tickets for $5 each. If they made a total of $519, how many child tickets were sold?
Click here to see answer by josmiceli(9661)

Question 412142: I need some help with this please!: A local pizzeria sells a small pizza with one topping for $6 and a small pizza with three toppings for $8. What is the charge for a PLAIN small pizza? What is the charge for each topping? Use a system of equations to model each situation. Solve by using any method (substitution,elimination).
Click here to see answer by josmiceli(9661)

Question 412266: A piece of pipe , 32 1/2 foot long is to be cut into 2 pieces. one piece is to be 4 1/2 foot longer than the other. how long is the peice?
equation?
short piece?
long peiece?
Click here to see answer by rfer(12647)

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, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830