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

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Question 23559: 18)A three-digit number between 300 and 400 is 40 times the sum of its digits. The tens digit is six more than the units digit. Find the number.
Click here to see answer by venugopalramana(3286)

Question 23557: can u help me please? ....the tens digit of a two-digit number is 3 less than the units digit. The number is four times the sum of the digits. Find the number.
Click here to see answer by venugopalramana(3286)

Question 23555: 16.The sum of the digits of a three-digit number number is 11. The tens digit is three times the hundreds digit and twice the units digit.Find the number.
Click here to see answer by venugopalramana(3286)

Question 23553: 13)The sum of the digits of a two-digit number is 15.When the digits are reversed, the new number obtained is 9 more than the original number. Find the original number.
Click here to see answer by venugopalramana(3286)

Question 23556: 17) The sum of the digits of a three-digit number is 19. The hundreds digit is three times the tens digit. The number is 198 more than the number reversed. Find the original number.
Click here to see answer by venugopalramana(3286)

Question 23554: ...The sum of the digits of a two-digit number is one fourth of the number. The number is four times the sum of the digits. Find the number.-nid ur help pls-
Click here to see answer by venugopalramana(3286)

Question 24041: Please help!! I can't figure out the following problem:
Twice the sum of a number and three is the same as 1 subtracted from the number. Find the number.
I know its a simple problem but the more I look at it, the more confused I get!!
Thanks very much.
Click here to see answer by rapaljer(4667)

Question 24246: The sum of the squares of two consecutive positive even integers is 340. What are the integers? The answer should be in this form: 6 and 7
Click here to see answer by Earlsdon(6287)

Question 24847: please help me answer the following problem:
an elevator went from the bottom to the top of a building 140m high, remained ther efor 24 seconds, and returned to the bottom in an elapsed time of 2minutes. find the elvator's rates af ascent and descent if the latter is 1 m/s greater than the former.
thanks
javier
Click here to see answer by rapaljer(4667)

Question 24844: please help me answer the following problem:
find two consecutive positive even integers the difference of whose reciprocals is 1/60.
thanks
javier
Click here to see answer by Earlsdon(6287)

Question 24982: john likes 400 but not 300;he likes 100 but not 99;he likes 3600 but not 3700.
which does he like?
Click here to see answer by stanbon(57387)

Question 25001: Separate 800 into three parts, such that the sum of the first, 1/2 of the second, and 2/5 of the third is 400; and the sum of the second, 3/4 of the first, and 1/4 of the third is 400.
Click here to see answer by quentin252(19)

Question 24917: The number of terms in an Arithmetic Progress is even; the sum of the odd terms is 24, of the even term 30 and the last term exceeds the first term by 21/2. Fine the number of terms
Click here to see answer by venugopalramana(3286)

Question 25216: find three consecutive integers such that the sum of the first and twice the second is 17 more than twice the third.
Click here to see answer by Paul(988)

Question 25374: Find all solutions to the equation 3x^(1/6)+2x^(1/3)-2=0
Click here to see answer by stanbon(57387)

Question 25373: If 5^x=3 and 9^y=125, find the value of xy.
Click here to see answer by AnlytcPhil(1277)

Question 25578: The perimeter of a badminton court is 128 feet. After a game of badminton, a player’s coach estimates that the athlete has run a total of 444 feet, which is equivalent to 6 times the court’s length plus nine times its width. What are the dimensions of the badminton court?

Click here to see answer by stanbon(57387)

Question 25579: The sum of a first and second number is 216 less than 400. Six times the first number decreased by 400 is equal to two times the second number plus 24. Find the two numbers
Click here to see answer by 641387213(2)

Question 25577: Promoters of a rock concert must sell at least 25,000 tickets priced at $35 and $50 per ticket. Also, the promoters must take in at least $1,025,000 in ticket sales. Find a system of inequalities that describes all possibilities for selling the $35 tickets and the $50 tickets. Find at least one solution for the number of tickets that can be sold and show that your solution satisfies both of the promoter’s needs.

Click here to see answer by stanbon(57387)

Question 25655: hi! heres the problem....the sum of 2 positive integers is 10. the difference of their reciporcals is 3 over 8. find both positive numbers.
does x=1st positive and x+1=2nd postive? wat do i do with the second part of the problem? is there 2 variables?

thanks so much
Click here to see answer by stanbon(57387)

Question 25723: Can you explain in complete sentences why these two equaitions are equivalent x + 3 = 9 x - 3 = 3 thank you!
Click here to see answer by askmemath(368)

Question 25718: FInd the equation for the tangent for each x-value
I am dealing with Differential Calculus.
y=x^2+x-3, where x=4
THak you.
Click here to see answer by stanbon(57387)

Question 25742: A student's average on the first three tests of the semester was 75. If the final exam counts as much as two test grades, what must the student make on the final to have an average of 80 or better in the class.
I know how to do average and everything and I tried taking the formula and plugging in what I had but I dont know what to do or even if what ive done was right. Any help with this would be greatly appreciated.
Click here to see answer by josmiceli(9697)

Question 25799: solve the following application problem
the local movie theater sold 100 tickets for $390. If children's tickets cost $3 and adult tickets $6, how many of each were sold?
3c+6a=390
-3c -3c
6a=390-3c

Click here to see answer by Paul(988)

Question 25804: Please help me with this problem:
Find the two-digit number whose tens digit is 3 less than the units digit. The original number is 6 more than 4 times the sum of the digits.
I could REALLY use your HELP!
Click here to see answer by atif.muhammad(135)

Question 25813: Please help me solve this equation: 5/16 of 4/5 of the number is 15.
Thank you.
Click here to see answer by atif.muhammad(135)

Question 25985: Three darts are thrown at a dart board. You can obtain a 15,8,3,or 1 on one shot. Or you can get zero because of a miss. You get three shots. What is the lowest POSITIVE number impossible to obtain?
Click here to see answer by mike69(9)

Question 26300: I could really use some help!!
Here is my question:Find the two-digit number whose tens digit is 4 less than its unit digit if the original number is 2 more than 3 times the sum of the digits.
I don't even know where to start! PLEASE HELP!!!!
Click here to see answer by stanbon(57387)

Question 26277: An object drops from a cliff that is 150m high. The distance, d, in meters that the object has dropped at t seconds is modelled by d(t)=4.9t^2.
a. Find the average rate of change of distance with respect to time from 2 s to 5 s.
b. Find the rate at which the object hits the ground to the nearest tenth.
THANK YOU.

Click here to see answer by venugopalramana(3286)

Question 26736: Its from differential calculus.
LEt y= 5/³√(2x-5)^2
So far I got upto:
d/dx=5(2x^2-10x+25)^(2/3)
However, I can not continue on from there.
the answer at the back on my book is:
-20
----------
3(2x-5)^(5/3)
Click here to see answer by venugopalramana(3286)

Question 26735: Its from differential calculus.
LEt y= 5/³√(2x-5)^2
So far I got upto:
d/dx=5(2x^2-10x+25)^(2/3)
However, I can not continue on from there.

Click here to see answer by venugopalramana(3286)

Question 26723: Its from differential calculus.
LEt y= 5/³√(2x-5)^2

So far I got upto:
d/dx=5(2x^2-10x+25)^(2/3)
However, I can not continue on from there.
Click here to see answer by venugopalramana(3286)

Question 26812: show that the product of two odd integers is always odd.
Click here to see answer by venugopalramana(3286)

Question 26810: show that the product of an odd integer and an even integer is always even.
Click here to see answer by venugopalramana(3286)

Question 26809: show that the product of two even integers is always even.
Click here to see answer by venugopalramana(3286)

Question 26807: Show that the sum of an odd integer and an even integer is always odd.
Click here to see answer by venugopalramana(3286)

Question 26806: Show that the sum of two even integers is always even.
Click here to see answer by venugopalramana(3286)

Question 26805: Show that the sum of two odd integers is always even.
Click here to see answer by venugopalramana(3286)

Question 26837: suppose one number is 9 more than the other. If the difference between 3times the larger and 5times the smaller is3, what are the two numbers?
Click here to see answer by elima(1433)

Question 26866: I'm clueless can someone help?
The sum of three consecutive odd integers is -9. What is the largest integer?
Click here to see answer by Earlsdon(6287)

Question 26869: Can someone help?
One number is 9 more than 3 times another. If their sum is 53, what is the smaller number?
Click here to see answer by elima(1433)

Question 27106: show that the only common factor of any two consecutive positive odd integers is 1.
Click here to see answer by kev82(148)

Question 27188: two integers have a sum of 29. Three times the larger is 3 more than four times the smaller. I set it up like this: 3x + 4(x+3)=29 but i did not get the correct answer
Click here to see answer by Paul(988)

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