Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 112388: a social security number has nine digits. How many social security numbers are possible?

Click here to see answer by Fombitz(13828)

Question 112413: The word problem I am having troubles with is as follows.....
The height (h) (in feet) of a rocket at time (t) seconds after liftoffi sgiven by h=-16t^2+800t.
(a). how long dos it take the rocket to reach 3200 feet?
(b). What is the masimum height of the rocket.
THe following is what I have tried to complete but am doing something totally wrong. Can you please help.
-16t^2+800t=3200
(-16t)^2+800t=3200
(-16t)(-16t)+800t=3200
256-16t-16t+2t+800t=3200
256+2t+800t=3200
256-256+2t=800t=3200+256
2t+800t=3456
Can you please walk me through this and tell me where I went totally wrong.
Thanks so much!!!!
Click here to see answer by Fombitz(13828)

Question 112389: how many three-letter code words can be constructed from the first ten letters of the greek alphabet if no repititions are allowed?
Click here to see answer by checkley71(8403)

Question 112531: Solve.
The cost in dollars of manufacturing w wing nuts is given by
the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is
the average cost to manufacture one wing nut?
Click here to see answer by checkley71(8403)

Question 112537: A picture measures 5 inches by 7 inches. The picture is enlarged to a size of 15 inches by 21 inches.
A. What are the area and perimeter of the original picture?
B. What are the area and perimeter of the enlarged picture?
C. What is the percent of increase of the area of the enlarged picture?
Click here to see answer by checkley71(8403)

Question 112538: Solve
If there are 6 X 10to the 9th power people on the Earth and there is enough freshwater to provide each person with 8.79 X 10to the 5th power L, how much freshwater is on the Earth?
Click here to see answer by checkley71(8403)

Question 112547: The gas guage on the van initially read 1/8 full. When 15 gallons were added to the tank the guage read 3/4 full. How many more gallons are needed to fill the tank? I know the answer is 6 but I can't get an equation to prove it.
Click here to see answer by rapaljer(4667)

Question 112553: Chipper and Dalie collected 32 acorns on Monday and stored them with their acorn supply. After Chipper fell asleep,Dalie ate half the acorns. This pattern continued through Friday night, with 32 acorns being added and half the supply being eaten. On Saturday morning, Chipper counted the acorns and found that they had only 35. How many acorns had they started with on Monday morning?
Is this right?
126+32=158 divided by 2 =79 Monday
79+32=112 divided by 2 = 56 Tuesday
56+32=88 divided by 2 = 44 Wednesday
44+32=76 divided by 2 = 38 Thursday
38 +32= 70 divided by 2 =35 Friday
Saturday 35 were left. Friday there had to be 70 because 1/2 were eated leaving 35 so what plus 32=70 is 38. I started on Friday and worked backward. So they started with 79 acorns? Right?

Click here to see answer by ilana(307)

Question 112606: Oblique triangles:
Solve for each triangle.
B=19.3m C=28.7m A=57.0 degrees

This is all the information my book gives and I am not clear on what to do with it? I tried looking at exsamples? Can you help? Thanks.
Click here to see answer by scott8148(6628)

Question 112644: Ladder Height.
A 10-m ladder is leaning against a building. The bottom of the ladder is 5m from the builder. How high is the top of the ladder?
Click here to see answer by edjones(7569)

Question 112656: A stero receiver selling for $445.50 is discounted (or marked down to) $401.95. What is the savings?
Click here to see answer by chitra(359)

Question 112655: A stero receiver selling for $445.50 is discounted (or marked down to) $401.95. What is the savings?
Click here to see answer by chitra(359)

Question 112660: Jim can fill a pool carrying bucks of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 ½ hours. How quickly can all three fill the pool together?
Click here to see answer by chitra(359)

Question 112727: A small town library buys a total of 32 books that cost $458. Some of the books cost $13 each, and the remainder cost $15 each. How many books of each price did they buy?
Click here to see answer by SHUgrad05(58)

Question 112964: three times the sum of two numbers exceeds twice their difference by five, while half the sum is two more than the difference. what are the two numbers?
Click here to see answer by edjones(7569)

Question 112784: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks?
Click here to see answer by ankor@dixie-net.com(15745)

Question 113175: Shelly's book collection has B books. Every week she reads, and gets rid of 15 books. Every 2 weeks she goes to a book sale and buys 36 books. What is the expression for her book collection count?
Click here to see answer by stanbon(57940)

Question 113214: Homework problem: The formula N=4x^2+5x+1 represents the number of househoulds N, in thousands, in a certain city that has a computer x years after 1990. According to the formula, in what year were there 175 thousand households with computers in this city? I would like to see how this is worked out, not just get an answer. Thank you!
Click here to see answer by solver91311(17059)

Question 113186: I have a story problem and I was wondering if anyone could help me out.
An employee who produces x units per hour earns an hourly wage of y=0.85x +8( in dollars). I need to find the hourly wage for an employee who produces 10 units per hour.
how would I go about doing this problem?
Thank you very much.
Tracy
Click here to see answer by bucky(2189)

Question 113221: a ladder that is 13 feet long is a 5 feet from the base of a wall. How far up the wall does the ladder reach?
Click here to see answer by bucky(2189)

Question 113226: Hi. Can anyone help me to solve this word problem? I would greatly appreciate it.
1. A drug is eliminated through the body through urine. Suppose that for an initial dose of 10 milligrams the amount A(t) in the body of t hours later is given by A(t) 10(0.8)^t.
Estimate the amount of the drug in the body 8 hours after the initial drug dose.
Click here to see answer by psbhowmick(529)

Question 113223: An open box is to be constructed from a square sheet of plastic by removing a square of side 3 inches from each corner, and then turing up the sides. If the box must have a volume of 675 cubic inches, find the length of one side of the open box.
Click here to see answer by psbhowmick(529)

Question 113231: I just need help setting up the equations and I can do the rest. Word problems have never been easy for me!
Substitution method or addition method from system of equations
George has two investments that yield a total of $185.60 in annual interest. The amount invested at 8% is $320 less than twice the amount invested at 6%. How much is invested at each rate?
Amount invested at 8%?
Amount invested at 6%?
Click here to see answer by SHUgrad05(58)

Question 113222: The length of a rectangle storage room is 4 feet longer than its width. If the area of the room is 60 square feet, find its dimensions
Click here to see answer by SHUgrad05(58)

Question 113267: The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 5 ft from a light is 3 foot-candles, find the intensity on a screen 15 ft from the light.
This is what I did...
y=k/x^2
3=k/5^2
3=k/25
k=75

y=75/x^2
y= 75/15^2
=75/225
=.333 footcandles

Is this correct?
Click here to see answer by Earlsdon(6294)

Question 113402: We're into logarithms now.
Solve: ln x - 2 = -1
Click here to see answer by manotick03(1)

Question 113154: Having a real hard time with this...please help!
Solve system of equation word problem but either addition method or substitution method.
George has two investments that yield a total of $185.60 in annual interest. The amount invested at 8% is $320 less than twice the amount invested at 6%. How much is invested at each rate?
Amount invested at 8% _________
Amount invested at 6% _________
Click here to see answer by ankor@dixie-net.com(15745)

Question 113400: Solve: 2 raised to the x power minus 3 = 30.
Thank you!
Click here to see answer by scott8148(6628)

Question 113447: In a poker game, two people begin with equal sums of money. When the game ended, the loser had lost $50 more than a quarter of his money and the winner had twice as much money as the loser. How much money did each person have at the end of the game?
Click here to see answer by edjones(7569)

Question 113224: A ball is thrown downward from a window in a tall building. Its position at time T in seconds is s=16t^2+32t, where S is in feet. How long (to the nearest tenth) will it take the ball to fall 276 feet?
Click here to see answer by ankor@dixie-net.com(15745)

Question 113569: What expression raised to the fourth power is 81x12y8z16?
Click here to see answer by stanbon(57940)

Question 113573: The cost in dollars of manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut?
Click here to see answer by checkley71(8403)

Question 113668: Is the following set of numbers a perfect triple?
13, 15, 18
Yes or no
Click here to see answer by Adam(64)

Question 113645: Determine the surface area and the volume for 5 blocks and 6 blocks.
Number of Blocks Surface area (in square cm) Volume (In cubic cm)
Block 1= 18cm area 4 cm volume
Block 2= 30 cm area 8 cm vol
Block 3= 42 cm area 12 cm vol
Block 4= 54 cm area 16 cm vol
Block 5= 66 cm area 20 cm vol
Block 6= 78 cm area 24 cm vol

Which I have done already. I am now supposed to: write an algebraic expression to represent the relationship between the number of blocks and the surface area of the tower.
and use mathematics to justify my answer. What I do know: the surface area with each block adds 12 more cm and with each block added the volume increases by 4 cm, so do the 12 and 4 need to be in the expression and how would I express it?

Click here to see answer by stanbon(57940)

Question 113692: A guy wire is attached to a power pole at a point of 50 feet above the ground. If the wire make a 30 degree angle with the pole, dtermine the amount of guy wire needed from the pole to the ground.
Click here to see answer by checkley71(8403)

Question 113694: Dada opened a book randomly and began adding every seventh page number beginning with the number on the page to which she had opened, until she added twenty-one page numbers. If the total she obtained was 1995, to what page did she open?
Click here to see answer by checkley71(8403)

Question 113638: An oblique triangle has a side a= 6.5 in , side b = 6.0 in. and side c =3.5 in Find the value of angle A.
Click here to see answer by MathLover1(6801)

Question 113693:
The bottom of a 20 foot ladder is placed 5 feet away from a structure. Where will the top of the ladder touch the building?
Click here to see answer by checkley71(8403)

Question 113689: How far away from the ole at ground level will the guy wire need to be to maintain athe 30 degree angle with the pole? The height of the pole is 50 feet.
Click here to see answer by checkley71(8403)

Question 113725: A class of graduating seniors is practicing their march. If they walk in
pairs, one person is without a partner. If they walk by 3s, again they are
one person short. In fact, this also happens by 5s and 7s. What is the
smallest number of seniors this class has?
what I tried... But don't think is correct.
let x=total number of seniors
2=x+1 x=1
3=x+1 x=2
5=x=1 x=4
7=x+1 x=6
if they walk in pairs, they are one person short because there is only one person in the class
if they walk in 3s, they are one person short because there are only two people
if they walk in 5s, they are one person short because there are only four people
if they walk in 7s, they are one person short because there are only six people
So, the smallest number of seniors in the class is one.
I don't think this is correct, please help me.
Click here to see answer by stanbon(57940)

Question 113755: please help: Placing planks of equal length end to end, jules found that 3 planks were one foot short of the porch length, while 4 planks were two feet too long. How long was each planks?
Click here to see answer by josmiceli(9817)

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