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# Recent problems solved by 'richwmiller'

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 Miscellaneous_Word_Problems/283717: Lydia, Sarah, and Denise collected campain buttons. Lydia had 20 more buttons than Sarah. Denise had 3 times as many buttons as Sarah. If the total number of campaign buttons the 3 girls had was 120, how many buttons did Lydia have?1 solutions Answer 205892 by richwmiller(9143)   on 2010-03-21 21:12:33 (Show Source): You can put this solution on YOUR website!L+S+D=120 L=S+20 D=3S D = 60, L = 40, S = 20
 Rate-of-work-word-problems/283714: THE CURRENT IN A RIVER IS 4MPH. A BOAT MOTORS 6 MILES UPSTREAM IN THE SAME TIME IT TAKES TO GO 12 MILES DOWNSTREAM. SPEED OF BOAT IN STILL WATER?1 solutions Answer 205887 by richwmiller(9143)   on 2010-03-21 21:07:03 (Show Source): You can put this solution on YOUR website!Two questions. How is this a rate of work problem? Why are you shouting? When the ringing in my ears stops, I'll answer the problem.
 Expressions-with-variables/283706: The hare moved three times as fast as the tortoise of Aesop's Fables. After 4 minutes, the hare was 2400 feet ahead of the turtle. a) If the tortoise moved at the rate of x feet per minute, at what rate did the hare move? b) Draw a diagram to represent the problem. c) Use the information in your diagram to write the equation. d) Solve the equation for x. e) How far did each one move during the first 4 minutes. hare: _______ tortoise: ________ 1 solutions Answer 205883 by richwmiller(9143)   on 2010-03-21 20:58:16 (Show Source): You can put this solution on YOUR website!h=3x a)3x b)no diagram c)3x*4=x*4+2400 d)300 e)hare 3600 tortoise 1200 rt=d rt+rt=d 3x*4=x*4+2400 x=300 h=900 4*300=1200 tortoise 4*900=3600 hare check 3600-1200=2400 ok
 Inequalities/283701: A movie theater had a certain number of tickets to give away. Five people got the tickets. The first got one-third of the tickets, the second got one-fourth of the tickets, and the third got one-fifth of the tickets. The fourth person got eight tickets, and there were five tickets left for the fifth person. Find the total number of tickets given away. 1 solutions Answer 205878 by richwmiller(9143)   on 2010-03-21 20:47:32 (Show Source): You can put this solution on YOUR website! 5 people 1/3x went to the first 1/4x went to the second 1/5x went to the third 8 went to the fourth 5 for the fifth This will work out okay x*(1/3+1/4+1/5)+13=x x=60 check 1/3*60=20 1/4*60=15 1/5*60=12 13 total 60 people
 Expressions-with-variables/283678: how do solve this 4y(7y - 6) + 20y1 solutions Answer 205875 by richwmiller(9143)   on 2010-03-21 20:39:05 (Show Source): You can put this solution on YOUR website!Before we solve your problem. What would you do with 2*(3+4) You can add the 3and 4 first to get 7 and then multiply by 2 and get 14 or you can go 2*6+2*4=8+6=14 In your problem we are doing it thie second way because we can't do it the first way. 4y(7y - 6) + 20y 4y*7y-4y*(-6)+20y remember -4y*-6 will be positive minus times minus is plus continue
 Rate-of-work-word-problems/283685: A LAWN WAS CUT TO A HEIGHT OF 2 IN. IT THEN GREW AT A RATE OF A 1/8IN. PER DAY. A) LINEAR MODEL OF L (LENGTH) AS A FUNCTION OF T (DAYS). B) WHEN WILL GRASS BE 3 1\2 IN.1 solutions Answer 205872 by richwmiller(9143)   on 2010-03-21 20:33:15 (Show Source): You can put this solution on YOUR website!L=t/8+2 plug in 3.5 for L
 Geometry_Word_Problems/283697: what is six more than one-third of fourteen1 solutions Answer 205869 by richwmiller(9143)   on 2010-03-21 20:30:51 (Show Source): You can put this solution on YOUR website!Show me how this is geometry and I'll give you the answer and steps.
 Finance/283699: a. Rewrite the formula to solve for C. b. Imagine your profit for 1 day is \$1,281, and the cost of running the business for the day is \$1,463. What is the revenue for that day? Explain your answer. \$1,281 -1,463 1 solutions Answer 205868 by richwmiller(9143)   on 2010-03-21 20:29:25 (Show Source): You can put this solution on YOUR website!profit is money left over after paying the bills bills minus revenue=profit x-1463=1281 x=1463+1281
 Graphs/283694: Fill in the blank. The graph of any equation of the form x = (a constant) yields a/an ______ line. 1 solutions Answer 205864 by richwmiller(9143)   on 2010-03-21 20:25:39 (Show Source): You can put this solution on YOUR website!vertical try x=5 x is always 5 but y changes
 Polynomials-and-rational-expressions/283688: The way that we write numbers is based on the powers of 10. We know that ; 10^0=1 10^1=10 10^2=100 10^3=1000 etc. we also know that 2 times 10^1=20 Using this information write the number 6734 as a polynomial in the form. 1 solutions Answer 205862 by richwmiller(9143)   on 2010-03-21 20:23:52 (Show Source): You can put this solution on YOUR website!In what form?
 Graphs/283693: is 2x-7 in standard form? 1 solutions Answer 205861 by richwmiller(9143)   on 2010-03-21 20:21:45 (Show Source): You can put this solution on YOUR website!It is not an equation.
 Inequalities/283691: Okay, I need help again with: 8 - 3c = 2c - 2 --- and I have tried adding 2 and getting 8 - 5c = -2 and then adding -8 to get 5c = -10 divided by 5 which is c = -2 but then the check doesn't work out. What now??1 solutions Answer 205860 by richwmiller(9143)   on 2010-03-21 20:20:23 (Show Source): You can put this solution on YOUR website! 8 - 3c = 2c - 2 subtract 2c 8-5c=-2 subtract 8 -5c-10 You forgot the - in front of the 5 try again
 Rate-of-work-word-problems/283680: pump A can do a job in 42 mins and pump B can do a job in 35 mins. how long if both pumps are used.1 solutions Answer 205859 by richwmiller(9143)   on 2010-03-21 20:16:33 (Show Source): You can put this solution on YOUR website!x/42+x/35=1 x/6+x/5=7 5x+6x=210 11x=210 x=210/11 =19 minutes and about 1 second.
 Square-cubic-other-roots/283671: I need to solve using Completing the square x squared=-4x-21 solutions Answer 205854 by richwmiller(9143)   on 2010-03-21 20:02:29 (Show Source): You can put this solution on YOUR website!x^2=-4x-2 x^2+4x=-2 take (4/2)^2=2^2=4 add 4 to both sides x^2+4x+4=2 (x+2)^2=2 x=-2+sqrt(2) x=-2-sqrt(2)
 Graphs/283652: Consider the function y = 1.5(2^x) Make a table for this function, letting x = 2, 1, 0, -1, and -2. 1 solutions Answer 205844 by richwmiller(9143)   on 2010-03-21 19:25:38 (Show Source): You can put this solution on YOUR website!just plug in the values 2,1,0,-1,-2 one at a time and calculate y 2^(-1)=1/2 2^(0)=1
 Pythagorean-theorem/283634: Here's the problem I need help with: We have a wooden box that measures 4 ft by 3 ft by 2 ft. What is the longest straight pole that you can have inside the box?1 solutions Answer 205842 by richwmiller(9143)   on 2010-03-21 19:22:31 (Show Source): You can put this solution on YOUR website!you need to calculate the three dimensional diagonals. top right to bottom left. I did this awhile back. d=sqrt(l^2+h^2+w^2)=sqrt(4^2+3^2+2^2)=sqrt(29)=about 5.38 ft http://www.algebralab.org/lessons/lesson.aspx?file=Geometry_3Dprisms.xml
 Problems-with-consecutive-odd-even-integers/283635: What three odd consecutive integers equal 511 solutions Answer 205840 by richwmiller(9143)   on 2010-03-21 19:14:19 (Show Source): You can put this solution on YOUR website!Only one odd integer equals 51 that is 51. Perhaps you mean their sum or product or squares or roots or something else. Are they consecutive?
 Circles/283641: what is the area of a semicircle with diameter 20 ft?1 solutions Answer 205839 by richwmiller(9143)   on 2010-03-21 19:10:51 (Show Source): You can put this solution on YOUR website!radius =10 circle area=pi*r^2 semi=1/2*pi*r^2 S=1/2*3.14*100 s=1/2*314 s=157 ft^2
 Rectangles/283621: The ratio of the dimensions of a rectangular solid is 5:4:3, and the ratio of this solid's volume to its surface area is 2:1. What is the length of the solid's shortest side?1 solutions Answer 205837 by richwmiller(9143)   on 2010-03-21 19:07:43 (Show Source): You can put this solution on YOUR website!The sides of of rectangular solid are (LWH) in proportion 5:4:3 We don't know which sides are which. volume =L*H*W There are six surface areas. Two of each LW+LW+HW+HW+LH+LH 2LW+2HW+2LH 5x=L 4x=W 3x=H A=2*(LW+HW+LH) V =LWH V/A=2/1 5x=L,4x=W,3x=H, (L*W*H)/(2*(L*W+H*W+L*H))=2/1 H = 47/5, L = 47/3, W = 188/15, x = 47/15 H=9.4, L=15.6667, W=12.5333, x=3.13333 188/15 or 9.4 is the shortest side
 Numbers_Word_Problems/283593: I have been battling with this problem for over a two hours if someone could please help me. The sum of nine times the first number and five times a second number is 24. The second number is seventeen less than twice the first. Find the two numbers.1 solutions Answer 205835 by richwmiller(9143)   on 2010-03-21 18:40:46 (Show Source): You can put this solution on YOUR website!So what have you tried? let a = one number b=other number ....+.......9.....*.........a............+...5....*.........b.........=..24 The sum of nine times the first number and five times a second number is 24 9a+5b=24 ........b..........= 17..........-........2a ......................17 less than =-17 The second number is seventeen less than twice the first. b=-17+2a b=2a-17 b+17=2a (b+17/2)=a b=2a-17 9a+5b=24 I suspect there is a problem with the problem. Double check the numbers. a = 109/19, b = -105/19 a is about 5.7 and b is about -5.5 b=2a-17 -105/19=2*109/19-17 (218-105)/19=17 113/19=17 ok 9a+5b=24 9*109/19+5*-105/19=24 981/19=525/19=24 456/19=24 456=24*19 ok My answers work. I just don't like them. And I don't see anything wrong with the equations.
 Linear-equations/283544: Whats the slope of each line? 4x-8y=121 solutions Answer 205785 by richwmiller(9143)   on 2010-03-21 16:35:43 (Show Source): You can put this solution on YOUR website!In this form the slope =-a/b=-4/-8=1/2
 percentage/283522: a restaurant offers the possibility of 168 three course dinners. Each dinner has an appetizer, an entree' and a dessert. If the number of appetizers decreases from 7 to 5, find how many fewer possible three-course dinners the restaurant offers. 1 solutions Answer 205784 by richwmiller(9143)   on 2010-03-21 16:34:31 (Show Source): You can put this solution on YOUR website!a*b*c=168 7*b*c=168 b*c=168/7=24 now we have 5*24=120 168-120=48 or 2*24 There are 48 fewer possible three course dinners
 Rational-functions/283528: How would i find the maximum number of turns in an equation like this: f(x)= 3X+2?1 solutions Answer 205783 by richwmiller(9143)   on 2010-03-21 16:29:00 (Show Source): You can put this solution on YOUR website!It is a straight line. There are no turns.
 Linear-equations/283540: how do u solve (-3x)-y=9 in slope intercept form?1 solutions Answer 205782 by richwmiller(9143)   on 2010-03-21 16:26:59 (Show Source): You can put this solution on YOUR website!Slope intercept form is y=mx+b -3x-y=9 becomes -x-9=y y=-3x-9 where m is the slope and b is the y intercept You can get the slope in the form it is in now. -3x-y=9 a=-3 b=-1 note: this b is not the same as the b of y=mx+b m=-a/b=-(-3)/-1=-3 That was fun with three minuses.
 Probability-and-statistics/283536: Consider a tree diagram representing all the possible final outcomes in the following scenario: You buy a fancy sports car with 5 choices of wheel covers, 4 choices of stereo model, 9 upholstery packages, and a choice of clear or tinted glass windows. How many "leaves" does the tree have? 1 solutions Answer 205781 by richwmiller(9143)   on 2010-03-21 16:21:50 (Show Source): You can put this solution on YOUR website!5*4*9*2 20*18=360
 Quadratic_Equations/283538: how do i know whether to use the quadratic formula or graph to solve my quadratic equation? 1 solutions Answer 205780 by richwmiller(9143)   on 2010-03-21 16:19:15 (Show Source): You can put this solution on YOUR website!Graphing will only get you a picture of the equation. It will rarely help you to find the solutions. The quadratic formula will always find the solutions if they exist.
 Travel_Word_Problems/283535: Two friends live 25 miles apart. They walk from their homes meeting 2 1/2 hours later. One walked 2 miles per hour faster than the other. What were their two rates?1 solutions Answer 205779 by richwmiller(9143)   on 2010-03-21 16:17:01 (Show Source): You can put this solution on YOUR website!r*t=d r*2.5+(r+2)*(2.5)=25 r=4 mph r+2=6 mph check 4*2.5+6*2.5=25 10+15=25 ok NB 6 mph is not walking. That is jogging. That is a mile in 10 minutes.
 Polynomials-and-rational-expressions/283537: 4p-8p squared1 solutions Answer 205778 by richwmiller(9143)   on 2010-03-21 16:11:50 (Show Source): You can put this solution on YOUR website!Is it 4p-8p^2 or (4p-8p)^2 And what do you want to do with it?
 Linear-equations/283530: Find the slope-intercept equation slope 9 and y-intercept (0,3) y= Thank you1 solutions Answer 205777 by richwmiller(9143)   on 2010-03-21 16:10:14 (Show Source): You can put this solution on YOUR website!m=slope =9 b=y intercept =3 plug into y=mx+b done
 Radicals/283516: how to solve 160(0.5)minus 10(0.5) ;but 0.5 is in a fraction?1 solutions Answer 205776 by richwmiller(9143)   on 2010-03-21 15:47:21 (Show Source): You can put this solution on YOUR website!Correct solution withdrawn.
 Reduction-of-unit-multipliers/283517: Please help me with this question: Use unit multipliers to convert 7 miles per hour to feet per second. Thank you, Zach1 solutions Answer 205775 by richwmiller(9143)   on 2010-03-21 15:42:51 (Show Source): You can put this solution on YOUR website!1 mile=5280 ft one hour = 60 minutes one minute =60 seconds