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# Recent problems solved by 'Mathtut'

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 Linear-equations/179348: Please help. In 1920, the record for a certain race was 45.4 sec. In 1960, it was 44.6 sec. Let R(t) = the record in the race and t= the number of years since 1920. a.)Find a linear finction that fits the data. b.) Use the functionin (a) to predict the record in 2003 and in 2006. c.) Find the year when the record will be 43.4 sec.1 solutions Answer 134269 by Mathtut(3670)   on 2009-01-30 11:56:16 (Show Source): You can put this solution on YOUR website!from 1920-1960 there is 40 years : the difference between 45.4-44.6=.8 : that difference took place over a 40 year span so we have to divide the difference by 40 to get a yearly average of the change : .8/40=.02. this is how much on average per year that the race time is falling : equation: R(t)=-.02t+45.4 : b)2003 would be 83 years:R(83)=-.02(83)+45.4=-1.66+45.4=43.74sec 2006 would be 86 years:R(86)=-.02(86)+45.4=-1.72+45.4=43.68sec : c)43.4=-.02t+45.4 : -.02t=-2 : t=100 years......so in the year 2020 this formula predicts a time of 43.4sec
 Money_Word_Problems/179361: This question is from textbook intermediate algebra Connie owns a retail store that sells educational materials. The sales tax rate is 6%. If her total receipts (including tax) are \$895.91 for a certain day, what amount of tax was collected?1 solutions Answer 134267 by Mathtut(3670)   on 2009-01-30 11:41:55 (Show Source): You can put this solution on YOUR website!let s be the total sales : s+.06s=895.91 : 1.06s=895.91 : s=845.20 : so taxes collected are:895.91-845.20=
 real-numbers/179350: v-4(4-v)=-2(2v-1)1 solutions Answer 134266 by Mathtut(3670)   on 2009-01-30 11:37:50 (Show Source): You can put this solution on YOUR website!v-4(4-v)=-2(2v-1) : v-16+4v=-4v+2 : 5v-16=-4v+2 : 9v=18 :
 Problems-with-consecutive-odd-even-integers/179355: find two consecutive odd integers whose product is 23 more than their sum1 solutions Answer 134264 by Mathtut(3670)   on 2009-01-30 11:25:37 (Show Source): You can put this solution on YOUR website!let x and y be our two odd intergers y=x+2 : x+x+2+23=x(x+2) : : : x=5 and -5 : 5(7)=5+7+23..check -5(-3)=-5-3+23..check : integers integers
 Probability-and-statistics/179356: An experiment involves 17 participants. From these, a group of 5 participants is to be tested under a special condition. How many groups of 5 participants can be chosen, assuming that the order in which the participants are chosen is irrelevant? 1 solutions Answer 134263 by Mathtut(3670)   on 2009-01-30 11:17:40 (Show Source): You can put this solution on YOUR website!17*16*15*14*13/5*4*3*2=742560/120=6188
 absolute-value/179351: This question is from textbook Algebra 2 i need help setting up and solving a absolute value inequality word problem! here's the question: A 16oz. bag of flour probaly does not weigh exactly 16 ounces. suppose the actual weight can be between 15.6 ounces and 16.4 ounces, inclusive write an absolute value inequality that describes the acceptable weights for a "16 ounce" bag of flour.1 solutions Answer 134262 by Mathtut(3670)   on 2009-01-30 11:15:09 (Show Source): You can put this solution on YOUR website!has to have an equals if its inclusive : where x is the actual weight of a "16 oz" bag of flour
 Probability-and-statistics/179352: Find the value of the following: 6!10! / 4!12! If your answer is not an integer, write it as an exact fraction.1 solutions Answer 134260 by Mathtut(3670)   on 2009-01-30 11:08:17 (Show Source): You can put this solution on YOUR website!6!10!/4!12!=6*5/12*11=30/132=15/66=5/22 : ``` Mathtut WAS wrong because he made a math error NOT because he misinterpreted any thing.......This has been corrected. I am quite sure EDWIN never does that...lol ```
 Proportions/179347: Man made taffy apples. He used 1 lb of taffy for every 70.7 lb of apples. He made 17637 lb of taffy apples. How many lb taffy did he use? How many lb apples did he use? Round to nearest tenth. 1 solutions Answer 134259 by Mathtut(3670)   on 2009-01-30 11:02:48 (Show Source): You can put this solution on YOUR website!so it takes 70.7 pounds of apples and 1 pound of taffy to make 71.7 pounds of taffy-apples : 17637 (taffy-apples)/71.7 pounds (taffy and apples) : =245.98325 batches : taffy used: 245.98325(1)=245.98...rounded to pounds : pounds of apples used:245.98325(70.7)=17391...rounded to pounds
 absolute-value/179339: This question is from textbook Algebra 2 I need help with absolute value inequalities its a word problem and i need to know how to set the problem up the question is: the length of a standard basketball court can vary from 84 feet to 94 feet, inclusive. write an absolute value inequality that describes the possible lengths of a standard basketball court1 solutions Answer 134246 by Mathtut(3670)   on 2009-01-30 09:58:16 (Show Source): You can put this solution on YOUR website!if it is inclusive you must have an equal sign along with the inequality :
 Surface-area/179334: A brick is 8 inches long, 3 inches wide, 2 inches thick. What is the brick's surface area?1 solutions Answer 134245 by Mathtut(3670)   on 2009-01-30 09:56:45 (Show Source): You can put this solution on YOUR website!2(8*3)+2(8*2)+2(3*2)=48+32+12=92 sq in.
 Graphs/179301: 5/4x+1/8x=3/8+x1 solutions Answer 134225 by Mathtut(3670)   on 2009-01-30 00:56:37 (Show Source): You can put this solution on YOUR website! : ....multiplied all terms by 8 : added like terms on left and subtracted 8x from both sides :
 Polynomials-and-rational-expressions/179315: This question is from textbook Merrill Algebra 1 I am confused about this question. In the book it says that the average is not 50 miles per hour. I need to know how to set up the problem to solve it: Joan Bidney travels from Cincinnati to Winston-Salem at an average rate of 40 miles per hour and returns at an average rate of 60 miles per hour. What is her average speed for the trip? (Hint: the average speed is not 50 miles per hour.)1 solutions Answer 134224 by Mathtut(3670)   on 2009-01-30 00:41:13 (Show Source): You can put this solution on YOUR website!ok, lets call the distance d, the rate r, and the time t : d=40t.....trip to d=60t.....trip back : solve for t : t=d/40....trip to t=d/60....trip back : now lets take the time traveled for the entire to and back trip and multiply it by average rate for the whole trip which will be equal to 2d : : found common denominator on left : divided all terms by d : combined numerator on left and multiplied by 120 on both sides : mph average for whole trip :
 Complex_Numbers/179316: x^3+x^2-5x+3/x^2-2x+1 . How can you get the answer above to equal 4?1 solutions Answer 134223 by Mathtut(3670)   on 2009-01-30 00:21:48 (Show Source): You can put this solution on YOUR website! : : is the answer
 Miscellaneous_Word_Problems/179317: An executive in an engineering firm earns a monthly salary of plus a Christmas bonus of 7700 dollars. If she earns a total of 99400 dollars per year, what is her monthly salary in dollars? I am not sure how to begin solving this problem, any help would be greatly appreciated, and thank you for your time. 1 solutions Answer 134221 by Mathtut(3670)   on 2009-01-30 00:15:21 (Show Source): You can put this solution on YOUR website!first you have to take out the christmas bonus : 99400-7700=91700 : so that is 91700 in yearly wages. There are 12 months in a year so to find the montly salary we divide the yearly wages by 12 : per month
 Graphs/179286: Solve for x, graph the solution. 7x+2 < 5x-81 solutions Answer 134220 by Mathtut(3670)   on 2009-01-29 23:46:25 (Show Source): You can put this solution on YOUR website!7x+2 < 5x-8 : 2x<-10....subtracted 5x and 2 from both sides : : the boundry would be a dotted line at x=-5, which is a line 5 units to the left and parallel to the y axis. It is dotted because it is excluded. Shade everthing to the left of that line.
 Polynomials-and-rational-expressions/179293: This question is from textbook One of the most exciting plays in basketball is the dunk shot.The amount of time T that passes from the moment a player leaves the ground, goes up, makes the shot, and arrives back on the ground is called the hang time. A function relating an athlete's vertical leap V, in inches, to hang time T, in seconds, is given by V(T) = 48T2 a) Hall-of-Famer Michael Jordan has a hang time of about 0.889 sec. What is Michael Jordan's vertical leap? (T = hang time) 1 solutions Answer 134219 by Mathtut(3670)   on 2009-01-29 23:43:13 (Show Source): You can put this solution on YOUR website! : inches
 Linear-equations/179307: The function,q(d)=1+ d/33 gives the pressure, in atmospheres (atm), at the depth d in the sea (d is in feet). Note that q(0)=1atm,q(33)=2, and so on. Find the pressure at 50 feet. The pressure at 50 feet is ____atm. (type an intreger or a simplified fraction)1 solutions Answer 134218 by Mathtut(3670)   on 2009-01-29 23:39:26 (Show Source): You can put this solution on YOUR website!just plug that d- value into the equation : q(50)=1+50/33=83/33atm
 Miscellaneous_Word_Problems/179314: An executive in an engineering firm earns a monthly salary plus a Christmas bonus of dollars. If she earns a total of dollars per year, what is her monthly salary in dollars? I am not sure where to begin to solve this problem, could someone help me please, thank you for your time, for it is greatly appreciated. 1 solutions Answer 134217 by Mathtut(3670)   on 2009-01-29 23:36:44 (Show Source): You can put this solution on YOUR website!your forgot to give us the total of her earning?????????
Quadratic_Equations/179311: This question is from textbook
Just like my other question, I keep coming with wrong equations, these are my final assignment and I have to get it right...I need help in word problems, my weakest part is comming up with the right equation...
Kim starts to walk 3 mi to school at
7:30 A.M. with a temperature of 0°F. Her brother Bryan
starts at 7:45 A.M. on his bicycle, traveling 10 mph faster
than Kim. If they get to school at the same time, then how
fast is each one traveling?
1 solutions

Answer 134216 by Mathtut(3670)   on 2009-01-29 23:33:55 (Show Source):
You can put this solution on YOUR website!
we know the distance are equal 3 miles
:
lets call kims rate r and her time t
:
Bryan's r would be r+10 and his time would be t+1/4(remember this is all in hours)
:
Kim:::: 3=rt................eq 1
Bryan:: 3=(r+10)(t-(1/4))...eq 2
:
lets rewrite eq 1 to t=3/r and plug it into eq 2
:
3=(r+10)((3/r)-(1/4))
:
3=(r+10)((12-r)/4r)found common denominator 2nd term on the right
:
12r=(r+10)(12-r)....multiplied both sides by 4r
:
multiplied out right side
:
put all terms on one side
:
r=7.04mph-Kim's rate, (as the negative value is thrown out)
:
r+10=17.04mph-Bryans rate
 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=580 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 7.0415945787923, -17.0415945787923. Here's your graph:

 Square-cubic-other-roots/179309: I am looking for a non-profit tutor. I am having problems understanding the process of solving this problem. The question is the squareroot of (x+2) minus x equals 0. I am solving for x. Can someone please explain. I keep coming up with 0 and I am not sure. 1 solutions Answer 134214 by Mathtut(3670)   on 2009-01-29 23:15:06 (Show Source): You can put this solution on YOUR website! : added x to both sides : squared both sides : put all terms on 1 side : factored : x=2 and x=-1 : check for extraneous roots : -1 is and extraneous root so we throw it out(it does not make the statement true :
 Linear-equations/179310: The function, q(d) = 1 + d/33 gives the pressure, in atmospheres (atm), at a depth d in the sea (d is in feet). Not that q(0)=1 atm, q (33)=2, and so on. Find the pressure at 50 feet.1 solutions Answer 134212 by Mathtut(3670)   on 2009-01-29 23:08:57 (Show Source): You can put this solution on YOUR website!just plug that value into the equation : q(50)=1+50/33=83/33=2.51atm
 Graphs/179284: Please help solve equation 6x=5x-51 solutions Answer 134210 by Mathtut(3670)   on 2009-01-29 23:00:06 (Show Source): You can put this solution on YOUR website!6x=5x-5 : subtracted 5x from both sides
 Graphs/179287: This question is from textbook contains the point (-4,7) and is perpendicular to the x axis. Find the equation of the line that satisfies the given conditions.1 solutions Answer 134209 by Mathtut(3670)   on 2009-01-29 22:58:36 (Show Source): You can put this solution on YOUR website!if it is perpendicular to the x axis it is a vertical line : to pass through (-4,7) and be vertical the equation has to be : x=-4
 Graphs/179304: 9x + 4 = 4x+ 5 Please help solve.1 solutions Answer 134208 by Mathtut(3670)   on 2009-01-29 22:56:48 (Show Source): You can put this solution on YOUR website!9x + 4 = 4x+ 5 : 5x=1.........subtracted 4x and 4 from both sides : ...divided both sides by 5
 Graphs/179306: c=1/2mq m=1 solutions Answer 134207 by Mathtut(3670)   on 2009-01-29 22:54:49 (Show Source): You can put this solution on YOUR website!c=1/2mq solving for m : 2c=mq......multiplied both sides by 2 : divided both sides by q
 Graphs/179297: At work one day, Erica Franz received 7 packages. Speedy delivery delivered twice as many as Ralph's Express, while Ralph's Express delivered one more package than SendQuick package. How many packages did each service deliver to Erica. Speedy Delivery Ralph's Express Send Quick1 solutions Answer 134206 by Mathtut(3670)   on 2009-01-29 22:53:22 (Show Source): You can put this solution on YOUR website!let number of packages speedy,ralphs,and sendquik delivered be a,b,and c respectively : a=2b.......eq 1 b=c+1......eq 2 a+b+c=7....eq 3 : rewrite eq 2 to c=b-1 and take that value and the value of a in eq 1 and plug them into eq 3 : (2b)+b+(b-1)=7 : 4b=8 : packages delivered by ralphs : packages delivered by speedy : package delivered by sendquick
 Probability-and-statistics/179255: Archie is fed up with waiting in line at his local post office and decides to take action. Over the course of the next few months, he records the waiting times for each of a random selection of 18 post office visits made by him and other customers. These waiting times (in minutes) are as follows: 27,26,13,16,8,23,22,15,16,21,11,25,30,18,12,5,10,24 construct a box-and-whisker plot for the data. 1 solutions Answer 134204 by Mathtut(3670)   on 2009-01-29 22:48:03 (Show Source): You can put this solution on YOUR website!points are made under the lowest, highest,1st quartile, median, 3rd quartile : then a box is created around the 1st and 3rd quartiles with a line made throught the median then whiskers are drawn to the lowest and highest data. : lowest-5 1st quartile is 4th and 5th terms divided by 2 : 11+12/2=11.5 median is the 9th and 10 terms added and divided by 2: 16+17/2=16.5 3rd quartile is 14 and 15 terms added and divided by 2: 24+25/2=24.5 highest-30
 Graphs/179288: 4(x+4)=6(x-2) Please help solve1 solutions Answer 134203 by Mathtut(3670)   on 2009-01-29 22:40:20 (Show Source): You can put this solution on YOUR website!4(x+4)=6(x-2) : 4x+16=6x-12.....distributed left and right sides : -2x=-28.....subtracted 6x and 16 from both sides : divided both sides by -2
 Graphs/179290: Solve the equation 4(3x-6)=12(x-2)1 solutions Answer 134201 by Mathtut(3670)   on 2009-01-29 22:38:25 (Show Source): You can put this solution on YOUR website!4(3x-6)=12(x-2) : 12x-24=12x-24 : this equation has infinite solutions : no matter what value you put in it is a true statement.
 Radicals/179278: This question is from textbook 1 solutions Answer 134196 by Mathtut(3670)   on 2009-01-29 22:14:36 (Show Source): You can put this solution on YOUR website!oooooops you forgot the problem....remember we have no access to your homework problems...thanks Mathtut
 Signed-numbers/179263: -3+-4= -4x0= 0 divided by-7 4/5 divided by 1/5 =1 solutions Answer 134193 by Mathtut(3670)   on 2009-01-29 21:35:02 (Show Source): You can put this solution on YOUR website!-3+-4=-7 -4x0=0 0 divided by-7=0 4/5 divided by 1/5 =(4/5)*(5/1)=4