Questions on Word Problems: Translating English into Algebreze answered by real tutors!

Tutors Answer Your Questions about Human-and-algebraic-language (FREE)

Question 602434: how do you solve this problem. you bought $78.75 worth of nuts. you bought twice as many cashews (at $5.75 per pound) as you did peanuts (at $4.25 per pound). how many pounds of each did you buy?
Click here to see answer by scott8148(6628)

Question 603675: A motorist travels for 3okm at xkm/h and for 9okm at ykm/h and takes place 2.5hours for the journey. if the speed are interchanging, the journey take 2whole number 1/6 find x and y
Click here to see answer by mananth(12270)

Question 604726: The container that holds the water for the football team is full. After pouring out gallons of water, it is full. How many gallons can the container hold?
Click here to see answer by stanbon(57239)

Question 605213: a medivac helicopter travels 78 km due south of its base to pick up a patient the helicopter then travels 93 km due north to a hospital the entire trips take 1.22h what is the avarage speed and the average velocity.
Click here to see answer by nerdybill(6948)

Question 606625: a man ride a ski lift at the rate of 5 miles per hour and skis back down the hill at the rate of 50 miles an hour. If the complete trip requires 22minutes, how far is it from the bottom to the top of the hill?
Click here to see answer by htmentor(788)

Question 607125: one fifth of 620 is what number?
Click here to see answer by ewatrrr(10682)

Question 606887: Mr.lin is four times as old as his daughter. The sum of their ages is twelve years less than twice the difference of their ages. How old is mr.lin? The answer choices are 12,24,36 & 48
Click here to see answer by ankor@dixie-net.com(15634)

Question 607414: the sum of the digits of a two digit number is 10.the number formed by reversing the digit is 4 less than 5 times the original number. find the original number
Click here to see answer by stanbon(57239)

Question 607444: the cashier at the fast food outlet rings up a bill of $24.60 for an order of 6 milkshakes and 8 burgers. the next order is for 3 milkshakes and 5 burgers and the bill is $14.25. determine the cost of each itmem.
Click here to see answer by ewatrrr(10682)

Question 607417: the cashier at the fast food outlet rings up a bill of $24.60 for an order of 6 milkshakes and 8 burgers. the next order is for 3 milkshakes and 5 burgers and the bill is $14.25. determine the cost of each item.
Click here to see answer by ewatrrr(10682)

Question 607991: Twice the difference between a number and 25 is 3 times the number.
Click here to see answer by ewatrrr(10682)

Question 610249: a square and a rectangle have the same are. what is the numerical value of the rectangles perimeter? if the squares sides are x and the rectangle's length is 2x-3 and width is x-3.
Click here to see answer by jim_thompson5910(28503)

Question 610352: one number exceeds another by 5. if the larger is increased by 5 and the smaller is decreased by 8, the larger will be 12 less than twice the smaller. find the original. with solution please.
Click here to see answer by lwsshak3(6465)

Question 610383: the height of a cylinder measures 4 cm more than its radius. find the height of the cylinder if its total area is 140pi?
Click here to see answer by stanbon(57239)

Question 610384: a square and a a rectangle both have the same area. what is the numerical value of the rectangles perimeter if the rectangle has a length of 2x-3 and a width of x-2 and the square has sides of x. thanks
Click here to see answer by flame8855(424)

Question 611230: I can't pay for it but I need this rather quickly because I have tutoring today.
I have been out of school due to medical reasons and the school provided me with a rather unhelpful tutor who rather than teaching the material pushed me straight off into the book work. The problem is I am a year behind in math and need to study for ACT's and SAT's. This is the problem that has been giving me so much trouble:
In making business plans for a pizza sale fund raiser the Band Boosters at Roosevelt High figured out how both sales income I(n) and selling expenses E(n) would probably depend on number of pizzas sold n. They predicted that I(n)= -0.05n2+20n and E(n)= 5n+250.
a. Estimate value(s) of n for which I(n)= E(n) and explain what the solution(s) of that equation tell about prospects of the pizza sale fund raiser. Illustrate your answer with a sketch of the graphs of the two functions involved labeling key points with their coordinates.
b. Write a rule that gives predicted profit P(n) as a function of number of pizzas sold and use that function to estimate the number of pizza sales necessary for the fund raiser to break even. Illustrate yaddad yadda.
c. Use the profit function to estimate the maximum profit possible from this fund raiser. Then find number of pizzas sold, income, and expenses associated with the maximum profit situation.
Click here to see answer by ankor@dixie-net.com(15634)

Question 611349: A waitress waited on 20 tables one evening. after sharing 13.00 of her tip money with the busperson, she had $167.00 in tips left. what was the average tip left at each of the tables she waited on?

Click here to see answer by solver91311(16868)

Question 611521: Jim has 100 dimes and quarters the total is 14.05 how many quarters does the
Click here to see answer by richwmiller(9135)

Question 611572: a ball is dropped from a cliff that is 256 feet high. The distance S (in feet) that it falls in t seconds is given by the formula S=256-16t^2. How many seconds(to tenths) will it take for the ball to hit the ground?
Click here to see answer by stanbon(57239)

Question 611551: Which of the following points is a solution of y ≤ -|x| - 1?
(-1, -3)
(0, 0)
(1, -1)
Click here to see answer by stanbon(57239)

Question 611629: one video rental club charges $25 to become a member and $2.50 to rent each video .Another charge no membership fee , but charges $3.25 to rent each video . how many videos must you rent to make the first cluub more economical
Click here to see answer by solver91311(16868)

Question 611700: Paul and donna petricinvested $12,000. part at 5% simple interest and the rest at 7% simple interest for a period of 1 year. how much did they invest at each rate if their total annual interest from both investments was $800 (use interest= principal x rate x time.)
Click here to see answer by solver91311(16868)

Question 611945: a shelf can hold at most 20 math books and 6 biology books, or 15 math books and 16 biology books. If the shelf is to hold math books only, how many books can it hold?
Click here to see answer by stanbon(57239)

Question 611937: I just have problems setting this equation up.
In a class of 62 students, the number of females is one less than twice the number of males. How many famales and how many males are in the class?

One I understand the math talk, I can work this problem out no problem!
Click here to see answer by Yemi(10)

Question 612331: Jack bought a pizza and drink for $2.65. If the pizza cost a penny more than 3 times the cost of drink, how much did each cost?

Click here to see answer by flame8855(424)

Question 612713: store has a total of 108 full-time and part-time staff. There are three times as much full-time staff then part-time staff. How many of the staff are in each category?
Click here to see answer by richwmiller(9135)

Question 613127: At a certain factory, products are made in vats to hold 105 quarts. If each bottle contains 15/38 quart, how many bottles can be made from each vat?
Click here to see answer by ankor@dixie-net.com(15634)

Question 613735: The sum of two numbers is 15. Three times the smaller number is the same as twice the larger. What are the two numbers?

Click here to see answer by ewatrrr(10682)

Question 614991: a garden in the form of a square is surrounded by a walkway 2m wide. Whhat are the dimensions of the garden if the area of the walkway is 800 square metres?
Click here to see answer by josmiceli(9656)

Question 615084: I want to determine unit prices for a 24 unit apt complex. 7 units have 1br, and 17 units have 2br. So I'll assume that each of the 17 units are worth double each of the 7 units. So for example, if one of the 2 br units is worth $100,000 then one of the 1 br units is worth $50,000. Each class of unit is assumed to be worth the same as all of the other units in its class (1 or 2 br). The cost of all 24 units is $1,250,000. I was thinking the equation might be 17y +7x = 1,250,000 but then I immediately get stuck. I also tried 17(2x) + 7x but that doesn't seem right and I don't think I know how to solve it anyway (41x=1,250,000?... nah... I need two different numbers, not one.) Thank you in advance for your help.
Click here to see answer by stanbon(57239)

Question 615238: Bob makes one and a half times as much money as Tom. If the total of their salaries is $100,000, find the salary of each.
I am not looking to have it solved, I need to understand how to put this in an algebraic equation,
Click here to see answer by rfer(12646)

Question 615551: The difference of two numbers is 18. Doubling the greater number gives the same result as the product of 5 and the smaller number. What's the larger number?
The options are
a)12
b)30
c)60
d)24
I originally thought the answer was 12 but I was wrong :(
I started with "the difference of two numbers is 18
________ - __________ = 18

The rest is where I get confused. Here is what I have attempted
x=smaller number
y=greater number
Doubling the greater number (2y)
gives the same result( = )
as the product (multiply) of 5 and the smaller number 5x=2y
but that doesn't really help me so it must not be right.
I would really like to understand the problem and what I am doing right and where I started going wrong so I can walk myself through these questions in the future.
Your guidance is appreciated.
Katie
Click here to see answer by scott8148(6628)

Question 616307: 8x^3 over 16x its a fraction
Click here to see answer by Wizguy jack(4)

Question 616579: Please help me solve this problem:
A rope 18 feet long is cut into two pieces. One piece is used to form a circle and the other used to form a square. Find a function representing the area of both square and circle as a function of the length of one side of the square.
I can get to A(s)= pi(9-2s/pi)^2+s^2 but I am lost after that.
Click here to see answer by solver91311(16868)

Question 616978: 2. As you are leaving the community, you notice another new community just down the street. Because you are in the area, you decide to inquire about it.
a. The sales representative here tells you they also have two floor plans available, but they only have 38 homes still for sale. Write an equation that illustrates the situation. Use x and y to denote floor plan one and floor plan two respectively.
b. The representative tells you that floor plan one sells for $175,000 and floor plan two sells for $200,000. She also mentions that all the available houses combined are worth $7,200,000. Write an equation that illustrates this situation. Use the same variables you used in Part a.
c. Use elimination to determine how many houses are available in each floor plan. Explain how you arrived at your answer.

Click here to see answer by solver91311(16868)

Question 616976: The sales representative informs you that there are 56 houses for sale with two floor plans still available. Use x to represent floor plan one and y to represent floor plan two. Write an equation that illustrates the situation.
b. The sales representative later indicates that there are three times as many homes available with the second floor plan than the first. Write an equation that illustrates this situation. Use the same variables you used in Part a.
c. Use the equations from Parts a. and b. of this exercise as a system of equations. Use substitution to determine how many of each type of floor plan is available. Describe the steps you used to solve the problem.
d. What are the intercepts of the equation from Part a. of this problem? What are the intercepts from Part b. of this problem? Where would the lines intersect if you solved the system by graphing?

Click here to see answer by solver91311(16868)

Question 616979: 3. 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 Lifting charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.
a. Which mover provides a better deal for 2 hours of work? How did you arrive at your answer?
b. Which mover provides a better deal for 15 hours of work? How did you arrive at your answer?
c. For what values h (hours) does Quick Move offer the better deal? Express your answer as an inequality. Explain how you reached your answer.

Click here to see answer by solver91311(16868)

Question 617075: the perimeter of a rectangular field is 480 square metres and area is 10800 square metres find the dimensions
Click here to see answer by unlockmath(1599)

Question 617547: a certain # doubled & increased by 15 is 29..What is the number? Pls?
Click here to see answer by Greenfinch(383)

Question 618515: I collected 50 acorns in 5 days. Each day I have collected 3 more acorns than the day before. How many acorns did I collect each day?
Click here to see answer by John10(245)

Question 619071: Can someone help me to translate the following:
Find three consecutive odd integers such that 3 times the second minus the third is 11 more than the first?
Click here to see answer by ewatrrr(10682)

Question 619286: how do i write the equation difference S of a number n and its square
Click here to see answer by stanbon(57239)

Question 619981: there are three consecutive integers such that the sum of the first two integers minus the third integer is four. what are the integers?
An answer provided in text says x=6, however ive calculated x=-2 ... am i missing a step or have i miscalculated something? please help. and thank you in advance. :)
Click here to see answer by Maths68(1474)

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