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

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

Question 1167813: a number plus 5 more than 3 times the number is 37 find the number
Click here to see answer by ikleyn(52781)

Question 1167836: The cost of renting a car for one day is $39 plus 30 cents per mile. Write the average cost
per mile 𝐶 as a function of the number of miles driven in one day 𝑥. Graph the function
for 𝑥 > 0. What happens to 𝐶 as the number of miles gets very large?
Click here to see answer by Boreal(15235)

Question 1168415: Farmer has 32m of fencing to build a rectangular pen alongside the barn with fencing on only 3 sides. Determine the dimensions of the pen that will give the farmer maximum area. draw a diagram

Thanks
Click here to see answer by ikleyn(52781)

Question 1168472: Subject: Consecutive odd integers
Choose three consecutive odd integers such that three times the second decreased by 4 is equal to twice the third increased by 15.
I attempted to solve this problem as follows.
3(x+2)-4=2(x+4)+15
After solving the equation the integers were: 21, 23, 25; however, my book gives me a different answer. I will appreciate your help. Thank you.
Click here to see answer by josgarithmetic(39617)

Question 1168573: I need help figuring out what the equation should be for this word problem. This is the word problem:
Lyle sold two types of benches: stained and unstained. The unstained benches cost $20 each and the stained cost $32 each. If Lyle sold 21 benches last month (stained and unstained combined) and collected a total of $600, how many unstained benches did he sell?
Thank you for your help!
Click here to see answer by Theo(13342)

Question 1168774: Jack wants to make a mocha java blend that will sell for $18/kg. The mocha coffee beans sell for $20/kg and the java coffee beans sell for $15/kg How many kilograms of each kind of coffee bean should he use to make 50 kg of mocha java blend?
Click here to see answer by josgarithmetic(39617)

Question 1168943: Please help me to answer this problem.
There is a bowl of candy sitting on our kitchen table. This morning Nadia takes one-sixth of the candy. Later that morning Peter takes one-fourth of the candy that’s left. This afternoon, Andrew takes one-fifth of what’s left in the bowl and finally Anne takes one-third of what is left in the bowl. If there are 16 candies left in the bowl at the end of the day, how much candy was there at the beginning of the day?
Click here to see answer by htmentor(1343)

Question 1169644: The fraction of work done by a man who can finish a job in 2 hours. in mathematical expression..
Click here to see answer by ikleyn(52781)

Question 1170092: a tank containing 50 liter of water develops a leak and loses water at a constant rate. after 20 minutes it contain 40 liters. after a further 30 minutes the tank is 5% of its full capacity. determine the original capacity
.
Click here to see answer by josgarithmetic(39617)

Question 1170247: The average depth of our rectangular swimming pool is 2 meters. If the pool
holds 520 m3
of water, and the length of one side is 6 meters less than twice
the length of the other side, what are the dimensions of our swimming pool?
Click here to see answer by ikleyn(52781)

Question 1171017: Write an equation for these statements
1) Two consecutive integers total thirty-five?
2)The number of moons orbiting Saturn is 18. This is 9 times the number of moons orbiting Mars.?
3) )The initial letters for the numbers one to ten contain six more consonants than vowels.?
4) the flying distance from Toronto to Regina is 4 times the flying distance from Toronto to Montreal. The sum of these distances is 2535km
Click here to see answer by MathLover1(20849)

Question 1171016: Write an equation for these statements
1) Two consecutive integers total thirty-five?
2)The number of moons orbiting Saturn is 18. This is 9 times the number of moons orbiting Mars.?
3) )The initial letters for the numbers one to ten contain six more consonants than vowels.?
4) the flying distance from Toronto to Regina is 4 times the flying distance from Toronto to Montreal. The sum of these distances is 2535km
Click here to see answer by josgarithmetic(39617)

Question 1171526: jack and jill have a part time jobs at the same company. Jack is paid $10 per shift and $4 for each item he makes in his shift. Jill is paid $40 per shift and $1 for each item she makes in her shift. How many items must each person make in one shift to earn the same amount of money? How much money will they earn for that shift?
Click here to see answer by josgarithmetic(39617)

Question 1171529: Please help me solve this. thank you!
Michael, Clarissa, Reggie, and Ellen are attending Florida State University (FSU). One student is a computer science major, one is a chemistry major, one is a business major, and one is a biology major. From the following clues, determine which major each student is pursuing.
a. Michael and the computer science major are nextdoor neighbors.
b. Clarissa and the chemistry major have attended FSU for 2 years. Reggie has attended FSU for 3 years, and the biology major has attended FSU for 4 years.
c. Ellen has attended FSU for fewer years than Michael.
d. The business major has attended FSU for 2 years.

Click here to see answer by math_tutor2020(3817)

Question 1171733: The cost to replace a water pump in a sports car was $665. This included $220 for the water pump and $89 per hour for labor. How many hours of labor were required to replace the water pump?
Click here to see answer by ikleyn(52781)

Question 1172000: Suppose a city with population 210,000 has been growing at a rate of 3% per year. If this rate continues, find the population of this city in 15 years.

Click here to see answer by ikleyn(52781)

Question 1172033: A rectangular pool has dimensions 100m x 200m. Surround the entire pool is a concrete deck (border) of
uniform width. The area of the pool is twice the area of the concrete deck. Using an algebraic solution,
find the width of the concrete deck. Round all answers to 2 decimal places.
Click here to see answer by Alan3354(69443)

Question 1172056: A customer decides to build a fence around the backyard. The yard is rectangular, and with the house an equal distance from both property lines. As a result, the fence will have five sections. The short sections, connecting to the house, are each 10 feet in length. The yard then has a depth of 65 feet with a width of 80 feet. How much fencing is needed?
Click here to see answer by ikleyn(52781)

Question 1172184: The width of Jennica’s small painting is 3 inches less than its length. A 1-inch border is put around the painting to protect the sides of her masterpiece. The area of the painting and the border is 108 square inches. What is the length and the width of Jennica’s original painting?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1172401: Joe has 10% as many quarters as nickels. If Joe has $5.25 in quarters and nickels, how many nickels does Joe have?
Translate into an equation and solve.
Click here to see answer by Boreal(15235)

Question 1173108: Two More than the product of -3 and a number is 11.
Click here to see answer by josgarithmetic(39617)

Question 1173369: Paul invested $100,000 in two different companies. The first earned 6% and the second earned 12% profits. If Paul made 2 times as much from the 12% investment as he did from the 6% investment, how much did he invest in the company that made 6%?
Translate into an equation and solve.
Click here to see answer by josgarithmetic(39617)

Question 1173616: An investigator has a 430 page report to read. The first day, he is able to read 20 pages. The second day, he reads 10 pages more than his first day, and the third day, he reads 15 pages more than the second day. If, on the following days, he continues to read at the same rate he was reading on the third day, he will complete the report on the ___ day.
Click here to see answer by ewatrrr(24785)

Question 1173615: The investigators of one agency conduct an average of 12 interviews an hour from 10am to 12noon and from 1pm to 5pm daily. The director of this agency knows from past experience that 20% of those called in to be interviewed are unable to keep the appointments that were scheduled. If the director wants his staff to be kept occupied with interviews for the entire time period that has been set aside for this function, how many appointments should be scheduled for each day?
Click here to see answer by ewatrrr(24785)

Question 1173624: The 36 investigators in an agency are each required to submit 25 investigation reports a week. These reports are filled out on a certain form, and only one copy of the form is needed per report. Allowing 20% for waste, how many packages of 45 forms a piece should be ordered for each weekly report?
Click here to see answer by ikleyn(52781)

Question 1173890: In a recent election Corrine Brown received 13,204 more votes than Bill Randall. If the total number of votes was 119,548 find the number of votes for each candidate.
Click here to see answer by mila nedic(19)

Question 1174207: Dinner at your grandfather's favorite restaurant now costs $25.25 and has been increasing at 4% each year. How much did it cost him 35 years ago?

Click here to see answer by ikleyn(52781)

Question 1174213: Aaron and Paul have the same number of golf balls. Aaron has 2 full boxes and 18 loose balls. Paul has three full boxes and 6 loose balls.
Find the number of balls in each box if each box holds the same number of balls.
Click here to see answer by ikleyn(52781)

Question 1174268: Zander sold thrice as much face shield in the afternoon as in the morning. If he sold 340 pieces of face shield that day, how many face shields did he sell in the afternoon?
Click here to see answer by josgarithmetic(39617)

Question 1174765: Meg rowed her boat upstream a distance of 65 mi and then rowed back to the starting point. The total time of the trip was 18 hours. If the rate of the current was 4 mph, find the average speed of the boat relative to the water
Click here to see answer by ikleyn(52781)

Question 1174770: Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 63 minutes. Billy could mow the lawn by himself in 30 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?
Click here to see answer by VFBundy(438)

Question 1174768: Jeff and Kirk can build a 75-ft retaining wall together in 4 hours. Because Jeff has more experience, he could build the wall by himself 2 hours quicker than Kirk. How long would it take Kirk (to the nearest minute) to build the wall by himself?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1174769: Homer and Mike were replacing the boards on Mike's old deck. Mike can do the job alone in 1 hour less time than Homer. They worked together for 5 hours until Homer had to go home. Mike finished the job working by himself in an additional 2 hours. How long would it have taken Homer to fix the deck himself?
Click here to see answer by VFBundy(438)

Question 1174767: Twin brothers, Billy and Bobby, can mow their grandparent's lawn together in 96 minutes. Billy could mow the lawn by himself in 20 minutes less time that it would take Bobby. How long would it take Bobby to mow the lawn by himself?
Click here to see answer by VFBundy(438)

Question 1174860: I really need help with this problem, I'd appreciate a detailed explanation too because it's really important!!!
You have a flat sheet of cardboard that is 10 inches long and 8 inches wide. You need to make a box that has the maximum area. So you decide to cut out square corners of the sheet of cardboard, and fold the cardboard to make a box. Let x represent the side of each little square you cut out. Write a function for the area of the box and use your graphing calculator to graph it.
What is the maximum area of your box, and what value of x gives you that maximum area? Be sure to justify your answer.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1174928: I'd appreciate some a detailed explanation of this problem in words, please!!!
You have a flat sheet of cardboard that is 10 inches long and 8 inches wide. You need to make a box that has the maximum volume. So, you decide to cut out square corners of the sheet of cardboard and fold the cardboard to make a box. Let x represent the side of each little square you cut out. Write a function for the area of the box and use your graphing calculator.
What is the maximum area of your box, and what value of x gives you that maximum volume? Be sure to justify your
answer.
Click here to see answer by ikleyn(52781)

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