Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Question 174450: A car wash charges a flat rate for the first 8 minutes of washing time and also charges a certain amount for each additional minute of washing time. Gina took 12 minutes to wash her car and it cost her a total of $5.00. Kris took 17 minutes to was his truck at a total cost of $6.25. Write an equation that models the total cost of a car wash as a function as the number of minutes spent washing a vehicle and find the flat rate for the first 8 minutes.
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 174446: You are planning an ornamental garden that has a total area of 200 square feet. There are two sizes of ornamental plants you have chosen for your garden. Each small plant requires 2.5 square feet of space and each large plant requires 8 square feet of space. This situation can be modeled by the equation 2.5x+%2B+8y+=+200 where x is the number of small plants and y is the number of large plants to be placed in the garden.
1. Find the intercepts of the graph of the equation and what do those intercepts in this situation mean?

Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 174445: As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.
1. Write a system of equations to represent the given information and solve using the substitution method.
Please help and try to show every bit of work that you can to help me better understand the problem, Thank You! =)

Click here to see answer by Mathtut(3670) About Me 

Question 174462: A car wash charges a flat rate for the first 8 minutes of washing time and also charges a certain amount for each additional minute of washing time. Gina took 12 minutes to wash her car and it cost her a total of $5.00. Kris took 17 minutes to was his truck at a total cost of $6.25. Write an equation that models the total cost of a car wash as a function of the number of minutes spent washing a vehicle to find the slope of a line parallel to the line.
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 174461: As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.
1. Write a system of equations to represent the given information and solve using the elimination and Cramer's Rule Method.

Click here to see answer by Mathtut(3670) About Me 

Question 174516: As a participant in your school's community service project, you volunteer a total of 40 hours over the course of the school year. Your volunteer hours include serving at a soup kitchen, picking up trash at several local parks, and collecting toys for needy children. You spend 4 times as many hours collecting toys as picking up trash, and 2 hours less serving at the soup kitchen than picking up trash.
1. Solve this system of equations using the elimination and Cramer's Rule Method.

Click here to see answer by Mathtut(3670) About Me 

Question 174556: 30 people are having lunch at my house. 16 of them want salads, 16 of them prefer pasta, and 11 of them want steak. 5 say they want to have both salad and steak, and of these, 3 want pasta as well. 5 want only steak, and 8 want only pasta. How many people want salad only?
Click here to see answer by josmiceli(9697) About Me 

Question 174564: One third of a number is 5 less than half of the number. What is the number?
I need to set this up using the five step method to solve and check. Iam helping my nephew with some homework over break, so i need to sit down with him and explain the steps, thanks

Click here to see answer by rapaljer(4667) About Me 
Question 174564: One third of a number is 5 less than half of the number. What is the number?
I need to set this up using the five step method to solve and check. Iam helping my nephew with some homework over break, so i need to sit down with him and explain the steps, thanks

Click here to see answer by Mathtut(3670) About Me 

Question 174576: 25 students played soccer
4 boys played soccer and baseball
3 girls played soccer and baseball
10 boys played baseball
4 girls played baseball
9 students played tennis
3 boys played soccer and tennis
3 girls played soccer and tennis
3 boys played baseball and tennis
1 girl played baseball and tennis
1 boy played all three sports
1 girl played all three sports
How many students played soccer, but not baseball or tennis?

Click here to see answer by josmiceli(9697) About Me 

Question 174669: A car wash charges a flat rate for the first 8 minutes of washing time and also charges a certain amount for each additional minute of washing time. Gina took 12 minutes to wash her car and it cost her a total of $5.00. Kris took 17 minutes to wash his truck at a total cost of $6.25. Write an equation that models the total cost ot a car wash as a function of the number of minutes spent washing a vehicle. With this information, using the equation, what is the slope of a line parallel to the line in the first part making by the equation into y+=+mx+%2B+b form.
Click here to see answer by josmiceli(9697) About Me 

Question 174725: the sum of the digits of a two-digit number is 10. If the digits are reversed, the number is increased by 72. What is the original number?
Click here to see answer by Mathtut(3670) About Me 
Question 174725: the sum of the digits of a two-digit number is 10. If the digits are reversed, the number is increased by 72. What is the original number?
Click here to see answer by josmiceli(9697) About Me 

Question 174778: Can you please assist me in the following: A number is ten times the sum of its digits. The tens digit is two greater than the units digit. Find the number.
so far I only managed to write:
10n=n+m
m=2+10n
10n=n+(2+10n)
10n=n+2+10n
10n=11n+2
n=-2
10(-2)=(-2)+m
-20=-2+m
m=-18
10(-2)=(-2)+(-18)
(-18)=2+10(-2)
-20=-20
-18=-18
would this be the correct answer

Click here to see answer by stanbon(57387) About Me 
Question 174778: Can you please assist me in the following: A number is ten times the sum of its digits. The tens digit is two greater than the units digit. Find the number.
so far I only managed to write:
10n=n+m
m=2+10n
10n=n+(2+10n)
10n=n+2+10n
10n=11n+2
n=-2
10(-2)=(-2)+m
-20=-2+m
m=-18
10(-2)=(-2)+(-18)
(-18)=2+10(-2)
-20=-20
-18=-18
would this be the correct answer

Click here to see answer by checkley75(3666) About Me 
Question 174778: Can you please assist me in the following: A number is ten times the sum of its digits. The tens digit is two greater than the units digit. Find the number.
so far I only managed to write:
10n=n+m
m=2+10n
10n=n+(2+10n)
10n=n+2+10n
10n=11n+2
n=-2
10(-2)=(-2)+m
-20=-2+m
m=-18
10(-2)=(-2)+(-18)
(-18)=2+10(-2)
-20=-20
-18=-18
would this be the correct answer

Click here to see answer by josmiceli(9697) About Me 

Question 175022: Here is a word problem I am having trouble figuring out:
"I am thinking of three consecutive numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?"
PLEASE HELP!!!!

Click here to see answer by user_dude2008(1861) About Me 

Question 175028: I posted this problem and someone was able to proved the algebraic equation for it, but unfortunantly, I still do not understand how to solve it:
"I am thinking of three consecutive numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?"
The equation given was x(x+1) - 3.(x+2)=57
Can someone please help me to actually solve this? Thanks

Click here to see answer by scott8148(6628) About Me 
Question 175028: I posted this problem and someone was able to proved the algebraic equation for it, but unfortunantly, I still do not understand how to solve it:
"I am thinking of three consecutive numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?"
The equation given was x(x+1) - 3.(x+2)=57
Can someone please help me to actually solve this? Thanks

Click here to see answer by actuary(112) About Me 
Question 175028: I posted this problem and someone was able to proved the algebraic equation for it, but unfortunantly, I still do not understand how to solve it:
"I am thinking of three consecutive numbers. If I multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?"
The equation given was x(x+1) - 3.(x+2)=57
Can someone please help me to actually solve this? Thanks

Click here to see answer by jojo14344(1512) About Me 

Question 175037: when a number is divided by 4 and has 12 subtracted from it, the result is 1/6 of the number. what is the number ?
Click here to see answer by ptaylor(2048) About Me 

Question 175036: find two consecutive odd number such that when smaller number is subtracted from 3 time bigger number, the result is 56.
Click here to see answer by ptaylor(2048) About Me 

Question 175035: the sum of two numbers is120 if larger number is 4 time smaller number. find the two number?
Click here to see answer by ptaylor(2048) About Me 

Question 175094: Please can you help i dont get this math question thanks!!:)
1. If a number is added to its square, the result is 56. Find the number.

Click here to see answer by solver91311(16897) About Me 

Question 175093: if a number is added to its square, the result is 56. Find the number
Click here to see answer by Jadedstars12(1) About Me 

Question 175092: if a number is added to its square, the result is 56. Find the number
Click here to see answer by josmiceli(9697) About Me 

Question 175109: The sum of Jarod's age and Kayla's age is 21. Kayla is 5 years older than Jarod. How old are Kayla and Jarrod. Did x + 5=21. 21-5= 16. Still don't know how old anyone is.
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 175091: if a number is added to its square, the result is 56. Find teh number
Click here to see answer by Earlsdon(6287) About Me 

Question 175177: Totally confused on this word problem:
The number of people infected after t days is P=200 +5t - t^2. Find the number of days until the number of people infected is 176.
Can someone PLEASE help? I don't even know where to begin?

Click here to see answer by stanbon(57387) About Me 

Question 175284: A ladder is resting against a wall. The top of teh ladder touches the wall at a height of 12 feet. Find the distance from the wall to the bottom of teh ladder if the length of teh ladder is 12 feet less than twice its distance from the wall.
Click here to see answer by Earlsdon(6287) About Me 

Question 175285: The original dimensions of a rectangle were 15cm by 20cm. When both dimensions were decreased by the same amount, the area of the new rectangle is half the area of the original rectangle. Find the dimensions of the new rectangle.
Click here to see answer by nerdybill(6962) About Me 

Question 175311: Two consecutive even integers such that seven times the first exceeds five times the second by 54.
Here is what I tried.
First Number = 7x+5
Second = x/54

Click here to see answer by Mathtut(3670) About Me 

Question 175348: find the number, the sum of whose one half, one third and one fourth is 65.
Click here to see answer by jojo14344(1512) About Me 

Question 175354: Twice the first of three consecutive even integers minus the third equals 36. Find the number
Click here to see answer by jojo14344(1512) About Me 

Question 175344: if 18 is subtracted from four times of a number 30 is obtained.find the number.
Click here to see answer by jojo14344(1512) About Me 

Question 175339: What number am I? If you multiply me by 2, I become a number greater than 20 and less than 20, if you multiply me by 6, I end in an 8, and if you multiply me by 4 I end in an 2.
I actually came up with two answers 13 and 18. 13x 2= 26, 13x6= 48, 13x4= 52
18x2= 36, 18x6=108, 18x4=72
Which one is correct

Click here to see answer by rapaljer(4667) About Me 

Question 175283: The three sides of a right triangle form three consecutive numbers. Find the lengths of the three sides, measured in metres.
Click here to see answer by adrian13r(5) About Me 

Question 175350: Twice the first of three consecutive even integers minus the third equals 36. Find the number
Click here to see answer by josmiceli(9697) About Me 

Question 175347: the sum of twice and thrice of a number is 75. find the number.
Click here to see answer by EMStelley(187) About Me 

Question 175346: a number is twice another number. if their sum is 48 find the numbers.
Click here to see answer by monika_p(71) About Me 

Question 175343: if 25 is added to three times of a number 52 is obtained. find the number.
Click here to see answer by monika_p(71) About Me 

Question 175345: a number is twice another number. if their sum is48 find the numbers.
Click here to see answer by Fombitz(13828) About Me 

Question 175282: The Hypotenuse of a right triangle is 2cm more than the longer leg, while the longer leg is itself 2cm more than the shorter leg. Find the length of the hypotenuse.
Click here to see answer by ankor@dixie-net.com(15660) About Me 

Question 175287: Sheila has a picture frame that measures 20cm by 30cm. If she puts a mat inside the frame that decreases the picture area by 264cm2, how wide is the mat?
Click here to see answer by ankor@dixie-net.com(15660) About Me 
Question 175287: Sheila has a picture frame that measures 20cm by 30cm. If she puts a mat inside the frame that decreases the picture area by 264cm2, how wide is the mat?
Click here to see answer by checkley75(3666) About Me 

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, 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