Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 414674: Express the sum using summation notation: 2^2+3^2+4^2+5^2+.....9^2
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Question 414672: What are the first 5 terms of the sequence a(n)=2^n/n!
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Question 414677: What are the first 5 terms of the sequence an = 2n - 1?
Assume that n starts with 1

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Question 414691: The second of three numbers is 8 more than twice the first. The third number is twelve less than the first. The sum of the number is 108. Find the numbers
work so far--> 2n+8+n-12=108
3n+8-12=108 added the n's
3n+8=120 added 12
3n=112 subtracted 8
when I divided 112/3 I get an irrational number and dont know what to do after

Click here to see answer by algebrahouse.com(1659) About Me 

Question 414997: If I had a 16gallon tank and my gas tank is 3/8 full how many gallons would that be? I would just like help on what process I need to solve this please.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 415086: I am stuck on some of my math and could use some assitance. Please Help!!!!
You are moving to a new home. You decide to hire a moving company, but are unsure which company to choose. You search online and are interested in contacting two companies, Heavy Lifters and Quick Move, to discuss their rates. Heavy Lifters charges an $80 fee plus $35 per hour. Quick Move charges $55 per hour with no additional fees.
For what values h (hours) does Quick Move offer the better deal? Please express answer as an equality.

Click here to see answer by mananth(16946) About Me 

Question 415125: Factor fully:
a) x^3-27
b) 2x^3+4x^2-13x-6

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Question 415543: hi there
i wondering how to solve..
8x+7y=0
-9x+2y=0
thx 4 your help

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Question 415834: Actually my question is about fractions! I am looking for the answer for 3/8+2/5+3/10! Your help is greatly appreciated!
Click here to see answer by ewatrrr(24785) About Me 

Question 415864: Paella is a classic Spanish fiesta dish made from chicken, rice and shellfish. One pound of
chicken costs $1.00 and supplies 100 g of protein. One pound of rice cost $.50 and supplies
20 g of protein. One pound of shellfish costs $3.00 and supplies 50 g of protein. If the
resulting paella weighs 18 pounds, costs $19.00 and supplies 850 g of protein, how much
rice, chicken, and shellfish were used?

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Question 416109: A passenger train leaves a train depot three hours after a freight train leaves the same depot.The freight train is traveling 8 mph slower than the passenger train.
Find the rate of the passenger train if the passenger train overtakes the freight train after 14.25h

Click here to see answer by mananth(16946) About Me 

Question 416085: a carpenter used 30 feet of molding in three pieces to trim a garage door. If the long piece was 2 feet longer than twice the length of each shorter piece, then how long was each piece?
thank you

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Question 416157: Hi there,
Could you please help me with giving the equation of a line that is parallel to
Y = -4x + 7
Thanks a bunch :o)

Click here to see answer by richard1234(7193) About Me 
Question 416157: Hi there,
Could you please help me with giving the equation of a line that is parallel to
Y = -4x + 7
Thanks a bunch :o)

Click here to see answer by jsmallt9(3758) About Me 

Question 416209: three times the least of three consecutive odd integers exceeds twice the greatest by 17. find the three integers.
Click here to see answer by mananth(16946) About Me 

Question 416502: Hi need some with the equation y=12x+5 with showing the total cost for ordering tickets on the phone for a certain outdoor concert. Tickets are $12.00 ea. and there is a one-time service fee of $5.00. Can the slope of this line be thought of as a rate? Explain.
Thanks for all your help :o)

Click here to see answer by Earlsdon(6294) About Me 

Question 417005: x=1-y
y=2x-2

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Question 417104: the sum of two numbers is 15. Three times one of the numbers is 11 less then five times the other.Find the number.
Click here to see answer by vanebutterfly01(1) About Me 

Question 417363: Hi can you please help me figure this out. I am not sure if I am doing this right.
I am trying to decide if the given number is a solution to the given equation.
5x^2 405; -9
and if
3x + 7 = 21; 4
I am thinking yes to both but I how do I know for sure.
Thanks for all your help :o)

Click here to see answer by mananth(16946) About Me 

Question 417374: the cross section of a drain is a rectangle 30 cm wide if water 3.5 cm deep flows along the drain at a rate of 22 cm per second how many litres of water will flow through each minute
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Question 417366: a circular wheel of radius 28cm makes 300 revolutions per minute. find the total distance covered by the wheel in one minute
Click here to see answer by mananth(16946) About Me 

Question 417359: Hi I need some help with this problem, using patterns or a linear equation I need to figure out how to complete this table, and I am not sure how.
x | Y
1 | 0
3 | 4
5 | 8
10 | ?
50 | ?
100 | ?
Thanks for your help :o)

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 417578: Hi can you help me determining whether the lines are parallel, perpendicular, or neither. I believe it would parallel but not sure.
y = 2x + 7/5 and y = 2x - 5/7
Thanks :o)

Click here to see answer by stanbon(75887) About Me 

Question 417589: If (x - y)² = 40 and x² + y² = 60, then xy=
Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 417588: 8) One recruit can complete a certain assignment in 40 min; another recruit can complete the same assignment in one hour. How long would it take to complete the assignment if the two recruits worked together
Click here to see answer by nerdybill(7384) About Me 

Question 417575: I need some help with deciding if the given number is a solution to the given equation and I am not sure how to know.
3x +7 = 21; 4



Thanks :O)

Click here to see answer by marcovan(4) About Me 

Question 417553: The length of a rectangular board is 9 meters greater than the width. If the perimeter of the board is 26 meters, then what are the length and the width? Enter your answers in the blanks. Enter only the numeric values rounded to the nearest tenth.
Length = _______meters Width = __________meters

Click here to see answer by MathLover1(20849) About Me 

Question 417584: 4) For all real numbers, x and y, x * y = y(x+1) If -4 * j = -6, then j =
Click here to see answer by robertb(5830) About Me 

Question 417582: At a mess night, there are only captains, 2nd lieutenants, and 1st lieutenants (sounds like a damn good time). If the total nbr of 2nd lieutenants and 1st lieutenatns is 30, the total nbr of 2nd lieutenants and captains is 45, and the total nbr of 1st lieutenatns and captains is 35, what is the total nbr of company grade officers (2ndLts, 1stLts, and Capts are company grade officers) at the mess night?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 417806: 10) Two trains running on the same track travel at the rates of 30 and 35 mph, respectively. If the slower train starts out an hour earlier, how long will it take the faster train to catch up with it?
Click here to see answer by rfer(16322) About Me 

Question 417841: A bank deposit paying simple interest at the rate of 8% per year grew to a sum of $2000 in 10 months. Find the principal
Just need some help on how to do this problem and the answer, so I can do the rest of my HW. Please Help, Thanks!

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 418069: Sketch the graph of y= - Square root of x+2
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Question 418113: 2) The equation x= 1/2 t(y-z) is equivalent to the equation y=
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Question 418465: Find the amount (future value) of the ordinary annuity. (Round your answer to the nearest cent.)
$1500/semiannual period for 10 yr at 6%/year compounded semiannually

Please help! Thanks

Click here to see answer by stanbon(75887) About Me 

Question 418526: A negative number is 56 less than its square. Find the number.
Click here to see answer by ewatrrr(24785) About Me 

Question 418626: The difference between three times a number and 21 is three
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Question 418725: what would a graph look like for the problem f(x)2/x-2
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Question 418726: what would a graph look like for the problem g(x)1/x^2-9
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Question 419004: Hi can you help me in deciding if this given number is a solution to this given equation?
6x^2 = 24; -2
Thanks for your help :o)

Click here to see answer by algebrahouse.com(1659) About Me 

Question 419073: I think I am figuring this problem wrong because the choices I have are none of what I get. So can you help me with this problem please.
A bank teller has some five dollar bills and some twenty-dollar bills. The teller has 5 more of the twenties. The total value of the money is $775. Find the number of five-dollar bills that the teller has.
Thanks for your help :o)

Click here to see answer by scott8148(6628) About Me 
Question 419073: I think I am figuring this problem wrong because the choices I have are none of what I get. So can you help me with this problem please.
A bank teller has some five dollar bills and some twenty-dollar bills. The teller has 5 more of the twenties. The total value of the money is $775. Find the number of five-dollar bills that the teller has.
Thanks for your help :o)

Click here to see answer by dnanos(83) About Me 
Question 419073: I think I am figuring this problem wrong because the choices I have are none of what I get. So can you help me with this problem please.
A bank teller has some five dollar bills and some twenty-dollar bills. The teller has 5 more of the twenties. The total value of the money is $775. Find the number of five-dollar bills that the teller has.
Thanks for your help :o)

Click here to see answer by mananth(16946) About Me 

Question 419113: A vendor sells hot dogs and bags of potato chips. A customer buys 2 hot dogs and 5 bags of potato chips for $7.75. Another customer buys 4 hot dogs and 2 bags of potato chips for $9.50. Find the cost of each item.
Click here to see answer by mananth(16946) About Me 

Question 419114: A college student earned $8100 during summer vacation working as a waiter in a popular resturant. The student invested part of the money at 8% and the rest at 6&.If the student received a total of $564 in interest at the end of the year, how much was invested at 8%?
Click here to see answer by mananth(16946) About Me 

Question 419059: Hi just need some help to make sure I am doing this problem correctly.
Using the Euler's formula to answer this question, a polyhedron has 16 vertices and 17 faces. How many edges does it have.
I was thinking 33 because the Eulers formula is vertices = edges- faces +2
so would I go 16 - 29 + 17 = 4 29 + 4 = 33
Did I do this correct? :o)

Click here to see answer by Theo(13342) About Me