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

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Question 248222: Two plumbers worked a combined 22 hours on a job. One plumber makes $22 per hour, and the other plumber makes $18 per hour. If their combined pay for this job was $448, how many hours did each work?
Click here to see answer by Alan3354(31487)

Question 248238: Determine whether the following system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down.

Click here to see answer by richwmiller(9144)

Question 248301: How do i set up an equation to solve this question: Find three consecutive integers such that the square of the smallest plus the product of the other two is 92?
Click here to see answer by scott8148(6628)

Question 248309: When the reciprocal of three times a number is subtracted from the reciprocal of the number, the result is one-sixth. Find the number.
Click here to see answer by richwmiller(9144)

Question 247842: How many of the first 1000 positive integers are divisible by 3,4,5 and 6?
Click here to see answer by iii(1)

Question 248342: What number am I?
I am a three-digit number.
I am less than 200.
I am divisible by 12, and by 9.
My units digit is less than my tens digit.
Click here to see answer by jim_thompson5910(28696)

Question 248402: use the difference of two squares theorem to find all of the solutions to the following equations: x^2=81
Click here to see answer by edjones(7569)

Question 248466: use the difference of two squares theorem to find all of the solutions to the following equations: Y^2=20
Click here to see answer by solver91311(17059)

Question 248465: The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers
Click here to see answer by College Student(505)

Question 248465: The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers
Click here to see answer by dabanfield(803)

Question 248478: use the difference of two squares theorem to find all of the solutions to the following equations: z^2=7
Click here to see answer by richwmiller(9144)

Question 248488: use the difference of two squares theorem to find all of the solutions to the following equations: z^2=7
Click here to see answer by mersha(9)

Question 248484: Find three consecutive positive even whole numbers such that the sum of the square of the two smaller numbers is 20 more than the square of the largest number?
Click here to see answer by checkley77(12569)

Question 248483: A number is four less than four times another number. If the product of the two numbers is 63. Find the two numbers?
Click here to see answer by ankor@dixie-net.com(15745)

Question 248360: The sum of the digits of a positive two-digit integer is 45 less than the integer. What is the tens digit of the integer?
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Question 248756: One integer is 7 more than another. Their product is 198. What are the two integers?
Click here to see answer by dabanfield(803)

Question 248682: Find three consecutive integers such that the sum of the suares of the smaller two is equal to the square of the largest
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Question 248685: rectangle has a length of x + 5 and width of x - 5 and has an area of 56 square units. Find width and length of rectangle.
Click here to see answer by dabanfield(803)

Question 248781: The perimeter of a rectangle is 24 inches. Find the dimensions if its length is 3 inches greater than its width.
Click here to see answer by College Student(505)

Question 248703: The sum of the digits of a positive two-digit integer is 45 less than the integer. What is the tens digit of the integer?
Click here to see answer by dabanfield(803)

Question 248502: Two cars leave an intersection. One car travels north; the other travels east. When the car traveling north had gone 24 miles, the distance between the cars was four miles more than three times the distance traveled by the car heading east. What was the distance between the cars at that time?
Click here to see answer by ankor@dixie-net.com(15745)

Question 248901: How many digits are in the product of 27 and 10 ^23 ?
Click here to see answer by chosenpoint(26)

Question 248950: if a number is increased by 3 and that number is doubled, the result is -8. What was the original number?
Click here to see answer by chosenpoint(26)

Question 248973: the difference of two numbers is twelve. three times the smaller one is four less than twice the larger. find the smaller number
Click here to see answer by checkley77(12569)

Question 249047: 1) Two consecutive integers are added. The square of their sum is 361. What are the integers ?
2) The product of two consecutive even numbers is 288. What are the numbers ?
Click here to see answer by checkley77(12569)

Question 249095: One number is 6 less than another. Three times the smaller is 12 more than twice the larger. Find the numbers.

Thanks
Click here to see answer by stanbon(57940)

Question 249141: five less than a number is 15. Find the number.
Click here to see answer by actuary(112)

Question 249143: What is the last digit of 2^2008 ?
Click here to see answer by College Student(505)

Question 249383: The difference between 65 and a positive integer is equal to four times the integer

Click here to see answer by richwmiller(9144)

Question 249471: if the sum of three consecutive even numbers is equal to two times the largest number what is the largest number?
Click here to see answer by stanbon(57940)

Question 249426: the sum of 3 numbers is 137. the 2nd number is 4 more than 2 times the 1st number. The third number is 5 less than 3 times the first number. find the 3 numbers
Click here to see answer by checkley77(12569)

Question 249475: the sum of 2 consecutive integers is 27 more than 5 times the larger integer find the integers
Click here to see answer by oberobic(2304)

Question 249515: The sum of two numbers is 60. One number is 4 times as large as the other. What are the numbers?
Click here to see answer by chosenpoint(26)

Question 249540: Find three consecutive integers such that the sum of the middle number and three times the largest number is five times the smallest number.
Click here to see answer by chosenpoint(26)

Question 249551: 15 less than twice a number is -45 what is the number?
Click here to see answer by chosenpoint(26)

Question 249507: If Norm and cliff together can paint a room in 4 hours, and Norm can paint the same room in 3 hours less than cliff, How long does it take cliff to paint the room by himself?
Click here to see answer by edjones(7569)

Question 249636: One integer is 6 more than the other. Their product is 135. Find the integers.
Click here to see answer by checkley77(12569)

Question 249835: one number is 7 more than the other number. The product of the numbers is 60. What is the numbers?
Click here to see answer by maverick0219(1)

Question 249842: Determine whether the following system has a unique solution, no solution, or infinitely many solutions. If a solution exists, write it down.

Click here to see answer by Edwin McCravy(8999)

Question 249945: the sum of two consecutive even integers is equal to seven times the first decreased by 18. find the integers.

Click here to see answer by checkley77(12569)

Question 250011: You use a garden hose to fill a swimming pool at a constant rate. The pool is empty when you begin to fill it. The pool contains 15 gallons of water after 5 minutes. After 30 minutes, the pool contains 90 gallons of water. Write an equation that gives the volume (in gallons) of water in the pool as a function of the number of minutes since you began filling it. Explain how you can find the time it takes to put 150 gallons of water in the pool.
Click here to see answer by richwmiller(9144)

Question 250147: This is a problem from my math text.
Find all sets of three consecutive multiples of 3 whose sum is between -134 and -109.
This is how I set it up:
-134 < 3n + 3(n+1) + 3(n+2) < -109
But it can't be right because the solution is very messy. Can you set this up for me?
Thanks!
Click here to see answer by richwmiller(9144)

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, 10846..10890, 10891..10935