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

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Question 164091: Given three consecutive integers. When half the secondinteger is subtracted from twice the first one the result is eleven less than the third one. Find the three integers.
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Question 164173: A talent contest has 8 contestants. Judges must award prizes for first, second and third prizes. If there are no ties,
(a) in How many different ways can the 3 prizes be awarded, and,
(b) how many different groups of 3 people can get prizes?

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Question 164172: From a box of 10 lightbulbs, 4 are to be removed. How many different sets of lightbulbs could be removed?
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Question 164171: Martha invited 4 friends to go with her to the movies. There are 120 different ways to which they can sit together in a row. In how many of those ways is Martha sitting in the middle?
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Question 164187: 6x-8=298
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Question 164204: 1.Find three consecutives odd integers such that the product of the first and third integers is 4 less than the square of the second integer.
2.The product of the two-digit no. and its tens digit is 54. Find the no. if the sum of the digits when added to the no. gives a result of 36.
i like math but it's hard(lol)!!

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Question 164543: Suppose you travel 66 kilometers in 1.25 hours. Moving at the same speed, how many kilometers would you cover in 2 hours?
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Question 164575: one number exceeds another by 5, and thier sum is 29; find them.
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Question 164607: Find a three digit number whose tens digit is 4 times the hundred’s digit and the unit’s digit is one more than the ten’s digit. The square of the sum of the digits is 72 more than the number?
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Question 164608: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?
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Question 164608: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?
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Question 164673: Find four consecutive odd integers whose sum is -80.
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Question 164673: Find four consecutive odd integers whose sum is -80.
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Question 164775: the sum of two numbers is -3. if the second number is subtracted from the first, the difference is 27. find the numbers
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Question 164775: the sum of two numbers is -3. if the second number is subtracted from the first, the difference is 27. find the numbers
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Question 164824: find two numbers such that five times the larger plus three times the smaller is 47 and four times the larger minus twice the smaller is 20
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Question 164799: If the first and third of three consecutive odd integers are added, the result is 57 less than five times the second integer. Find the third integer.

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Question 164843: the width of the rectangle is one-fourth of its length. if the perimeter is 40 cm. find the dimensions of the rectangle
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Question 164855: The product of the two-digit number and its tens digit is 54. Find the number if the sum of the digits when added to the number gives a result of 36?
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Question 164904: The larger of two numbers exceeds 6 times the smaller by 10. If the larger number is 76, find the smaller number
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Question 164905: The sum of a number twice its reciprocal is 3. Find the numbers
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Question 164905: The sum of a number twice its reciprocal is 3. Find the numbers
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Question 164927: Find two consecutive odd intergers such that the sum of the smaller and twice the larger is 79
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Question 165114: the sum of two numbers is-3.if the second number is subtracted from the first,the difference is 27.find the numbers?
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Question 165144: find two numbers such that five times the larger plus three times the smaller is 47,and four times the larger minus twice the smaller is 20.
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Question 165143: find two numbers such that five times the larger plud three times the smaller is 47 and four times the larger minus twice the smaller is 20.
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Question 165142: find two numbers such that five times the larger plud three times the smaller is 47 and four times the larger minus twice the smaller is 20.
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Question 165141: find two numbers such that five times the larger plud three times the smaller is 47 and four times the larger minus twice the smaller is 20.
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Question 165140: find two numbers such that five times the larger plud three times the smaller is 47 and four times the larger minus twice the smaller is 20.
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Question 165031: 1. Find two positive integers such that one is three times the other and their product is 18 more than the larger
2. Find three consecutives odd integers such that the product of the first and third integers is 4 less than the square of the second integer.
3. The product of the two-digit no. and its tens digit is 54. Find the no. if the sum of the digits when added to the no. gives a result of 36.
4. Find a three digit no. whose ten’s digit is 4 times the hundred’s digit and the unit’s digit is one more than the ten’s digit. The square of the sum of the digits is 72 more than the no?
can you show how you equate this? please and thank you!!!

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Question 165418: There are 3 consecutive integers. Three times the first is the same as 17 more Than 2 times the third. What is the second integer
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Question 165446: find the larger of two consecutive integers if the second is 13 less than twice the smaller
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Question 165432: one number is 11 less than the other number. If their sum is -9, find the two numbers.
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Question 165706: The product of a two-digit nimber and its tens digit is 54. Fing the number if the sum of the digits when added to the number gives a result of 36.
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Question 165743: find two consecutive odd intergers such that 4 times the larger is 29 more than three times the smaller/
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Question 165745This question is from textbook Elementary and Intermdiate Algebra
: The larger of two numbers is 5 less than twice the smaller number. The sum of the two numbers is 28. What are the numbers?
Known: sum of the numbers = 28

I am stuck.
This question is from textbook Elementary and Intermdiate Algebra

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Question 165762This question is from textbook Elementary and Intermediate Algebra
: Ok, here is another word problem I am having trouble with. I do not like word problems:(
The base of an isoscles triangle is 9 meters shorter than the other two sides. If the perimeter is 69 meters, find the length of each side?
This question is from textbook Elementary and Intermediate Algebra

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Question 165797: The population of Gondor is 3020 and is dropping by 12 people per year. The population of Shire is 824 and is increasing by 5 hobbits per year. How long until Gondor and Shire have the same population?
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Question 165797: The population of Gondor is 3020 and is dropping by 12 people per year. The population of Shire is 824 and is increasing by 5 hobbits per year. How long until Gondor and Shire have the same population?
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Question 165831: I need help solving this open-response question i have no clue.
Write four consecutive even integers beginning with each of the following integers (y is an even integer). a. 12 b.-10 c.-2 d.y e. y-2

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Question 165831: I need help solving this open-response question i have no clue.
Write four consecutive even integers beginning with each of the following integers (y is an even integer). a. 12 b.-10 c.-2 d.y e. y-2

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Question 166116: If r = 5 z then 15 z = 3 y, then r =
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Question 166154: at chicken little rest they serve 6pc box,9 pc box, and 20 pc box.you can't order 13 pcs in any combination. what is the highest number that can't be ordered???
Thanks
DAD

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Question 166220: using only even digits, come up with an odd number for an answer.
arrange eight 8s so they will total 1000.
using the same number three times, come up with an answer of 15 (cannot use 5 +5+5)

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Question 166290This question is from textbook algebra 1
: you are running water into a laundry sink to get a mixture that is one half hot water and one half cold water. The hot water flows more slowly, at a rate of 7.8 liters per minute, so you turn it on first. Two minutes later, you also turn on the cold water which flows at a rate of 12.3 liters per minute. You want to know how long to wait before turning the two faucets off. let t represent the number of minutes the hot water is on. Write a variable expression for the amount of time the cold water is on. This question is from textbook algebra 1

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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