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

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Question 204987: If the numerator of a certain fraction is increased by 5 and the denominator is decreased by 1, the resulting fraction is 8/3. However, if the numerator of the original fraction is doubled and the denominator is increased by 7, the resulting fraction is 6/11. Find the original fraction.
Click here to see answer by rfer(12647)

Question 204993: Classify the following system of equations as consistent, inconsistent, or dependent WITHOUT using any of the previous methods. Elimination, substitution or graphing.
(3x + 2y = 4 )
( y = -3/2 x – 1)

Click here to see answer by stanbon(57250)

Question 205168: Prove that any number raised to the 0'th power equals 1
Click here to see answer by Edwin McCravy(8882)

Question 205241: "There are more odd numbers less than 50 than even numbers?"
I am not sure about the answer from my son's math exercise book. Is it true or false?
Click here to see answer by rfer(12647)

Question 205306: A number is 72 less than its square. Find all such numbers.
Click here to see answer by stanbon(57250)

Question 205332: find 3 consecutive even integers such that five times the second equals twice the sum of the first and third
Click here to see answer by stanbon(57250)

Question 205420: If the sum of the first 100 integers: 1+2+3...+99+100=5050, then the sum of the 50 odd integers: 1+3+5...+99=?
Click here to see answer by Edwin McCravy(8882)

Question 205425: Solve the equation using factoring: 49p^2 – 112p + 64 = 0
Click here to see answer by Alan3354(30983)

Question 205431: The square of a number greater than zero equals 4 times that number. Find the number.
Click here to see answer by Earlsdon(6287)

Question 205461: "if the larger of two numbers is subtracted from 6 times the smaller,the result is 20.if twice the larger number is added to 4 times the smaller,he resul is 56.find the numbers"
Click here to see answer by checkley77(12569)

Question 205516: Question: The sum of the reciprocal of an integer and the reciprocal of six-more-than-that-integer is the same as 5 / 36.
I have no idea how to start to set this up or solve it. I am so confused.
Thank you for the help
Click here to see answer by Targetweek(62)

Question 205387: is it possible to use the digits 0-9 in an equation only using addition to add up to 100.
Rules
1. you must use each number once and only once (no repeats)
2. you can group numbers together for example... 1 and 9 -> 19 (not adding or anything just using two of the numbers to form a 2 digit number)
3. I think that covers the rules if i seem to have left anything out let me know
pattern i've noticed
the only important thing is what the the tens places add up to
ex1a. 13+24+5+6+7+8+9+0 = 72 (a multiple of nine)
ex1b. 19+20+3+4+5+6+7+8 = 72
when the tens places add up to or equals "3" then the answer is always 72
ex2a. 12+34+5+6+7+8+9+0 = 81
ex2b. 45+1+2+3+6+7+8+9+0 = 81
when the tens places add up to ro equals "4" then the answer is always 81
hmmm... interesting
the pattern continues each time the answer is always a multiple of 9
5=90
6=99
7=108
the person who gave me this problem insists very strongly that this is possible but i have found the opposite to be true
your help would be much appreciated cause the only other way that i can think of is for my dad and i to write a program which will check every possible way the numbers can be rearranged etc.
anyways,
thx a bunch
TJ
Click here to see answer by jim_thompson5910(28504)

Question 205578: How many two digit numbers are there for which both of the digits are even?
(A)20 (B)25 (C) 45 (D)50 (E)None of these
Click here to see answer by Theo(3458)

Question 205586: Which two consecutive whole numbers is square root of 29 between?
Click here to see answer by rfer(12647)

Question 205581: How many integers between 1 and 1000 (inclusive) do not contain the digits 8 or 9?
(A) 200 (B)488 (C)512 (D)521 (E)800
Click here to see answer by RAY100(1637)

Question 205603: Perform the indicated operation and express answer in simplest form:
x^2 - (y - 1)^2 / (y - 1)^2 - x^2
Click here to see answer by stanbon(57250)

Question 205539: Perform the indicated operation and express answer in simplest form:
x^2 - (y - 1)^2 / (y - 1)^2 - x^2
Click here to see answer by Earlsdon(6287)

Question 205490: How many 3-digit numbers are there for which the sum of the digits of the number is 24?
(A)3 (B)6 (C)7 (D)10 (E)18

Click here to see answer by Edwin McCravy(8882)

Question 205625: The sum of squares of three consecutive odd numbers is 155. What are the numbers?
Click here to see answer by stanbon(57250)

Question 205667: If the average of ten consecutive odd integers is 20, what is the average of the last five of those integers? Please show me how to do it.
Click here to see answer by RAY100(1637)

Question 205683: Suppose that one leg of a right triangle is 14 feet shorter than the other leg. The hypotenuse is 2 feet longer than the longer leg. Find the lengths of all three sides of the right triangle.

Click here to see answer by scott8148(6628)

Question 205687: The length of a rectangular sheet of paper is 3 centimeters more than twice its width and the area of the rectangle is 90 square centimeters. Find the length of the rectangle.

Click here to see answer by rfer(12647)

Question 205744: the sum of the digits of a two-digit number is 12. The value of the number is five more than ten times the tens digit. Find the number.
Click here to see answer by stanbon(57250)

Question 205489: How many two digit numbers are there whose first digit is larger than the second digit?
Click here to see answer by RAY100(1637)

Question 205798: the figure below is an equilateral triangle. using the appropriate formula, find its perimeter in terms of x.the sides of the equilateral has sides of 2x.thanks so much for the time thanks again.
Click here to see answer by Targetweek(62)

Question 205756: Factor this trinomial completely: x^2 + 6xy – 27y^2
Click here to see answer by checkley77(12569)

Question 205850: Simplify the following algebraic expression:
-4-7i/6i + 1/6
Click here to see answer by dyakobovitch(40)

Question 205882: Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.

Click here to see answer by checkley77(12569)

Question 205861: The numerator of a fraction is one more than the denominator. If the numerator and the denominator are both increased by 2, the new fraction will be one fourth less than the original fraction. What is the original fraction?
Here's what I tried...
n+1/n original fraction
n+1+2/n+2 = n+1/n - 1/4 (n+1/n)
Don't know if I have it set up correctly. Need help. THanks!
Click here to see answer by ankor@dixie-net.com(15639)

Question 205863: How many three digit numbers can be constructed using the digits 1,2,3,4 and 4 if the same digit cannot appear twice in a row in any of the numbers?
(A)60 (B)65 (C)80 (D)120 (E)None of these
Click here to see answer by Edwin McCravy(8882)

Question 205928: Pls. help me regarding this example. I'll be taking a test of these soon. I just want to know how this is solved, I'm having trouble with the reversed word. Thanks.
The sum of the digit of a two no. is 9. If the digits are reversed, the numbers is increased by 27. Find the original no.
Click here to see answer by Alan3354(30983)

Question 205758: Solve:
3^(x^2-3x)=81
Click here to see answer by RAY100(1637)

Question 205757: Simplify the following algebraic expression.
-4-7i/6i + 1/6
Click here to see answer by RAY100(1637)

Question 206016: Betty found a number of nickels,dimes and quarters in her room. She found 6 more dimes than nickels but three times as many quarters as dimes. The total value of the coins was $11.40. How many coins of each type did Betty find?
Click here to see answer by ankor@dixie-net.com(15639)

Question 206080: when you find the difference between an odd and an even number, the result is even is it true or false?
Click here to see answer by jim_thompson5910(28504)

Question 206144: Given the sum of two numbers thirty and that twice the first number is 3 more than the second, find the largest number.
I tried 2x+3+x=30
x=9
and got the two numbers are 18 and 12.
Have no idea if this is even close.
Thanks.
Click here to see answer by Marth(57)

Question 206024: if the difference between the smallest and the largest of five consecutive odd number is t what is t-2
Click here to see answer by HyperBrain(694)

Question 206235: Jonas takes a two-digit number and subtracts the sum of the digits from it. Which of the following answers is a possible result of the calculation?
(A) 42 (B) 49 (C) 55 (D) 63 (E) Not enough information
Click here to see answer by Alan3354(30983)

Question 206186: Hi can you please show me how to solve this math problem,
Manchester United has been struggling, being outscored 20 to 12 over their first eight games. Given that their opponents never scored more than three goals in one game, what is the maximum number of wins Manchester United can have so far?
Thank you,
Manish
Click here to see answer by Theo(3458)

Question 206255: the sum of 2 integers is 3, if the larger numbers decrease by 5 times the smaller the result is 21 find the integers.
Click here to see answer by ankor@dixie-net.com(15639)

Question 206360: Please help trying to set up the problems but i keep getting stuck.
This problem is not in the book. However she said change the numbers and it is a practice question from chapter 8.
Problem #1:The product of two positive numbers is 16. Determine the numbers if the larger is 4 times the smaller.
Problem #2: the length of a rectangle is 3 feet longer than ist width. Find the dimensions of the rectangle if its area is 28 square feet.
Click here to see answer by Alan3354(30983)

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