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# Recent problems solved by 'richwmiller'

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 Numbers_Word_Problems/300134: I am a percent that is greater than 91/100 and has two consecutive digits. What am I? 1 solutions Answer 215443 by richwmiller(9143)   on 2010-05-03 22:03:19 (Show Source): You can put this solution on YOUR website!There are two possible answers 8 and 9 or 0 and 1 98 or 100
 Rate-of-work-word-problems/300150: It takes Jack 9 hours longer to paint the fence than Mike. Together, they can paint the fence in 20 hours. How long will it take each person to paint the fence? I tried solving this as an inverse work-rate problem using 1/A + 1/B = 20 but I can't get it to work. 1 solutions Answer 215441 by richwmiller(9143)   on 2010-05-03 21:56:15 (Show Source): You can put this solution on YOUR website!20/x+20/(x+9)=1 The one means one job We are trying to find what fraction of the job Jack does and what fraction of the job Mike does. Together it has to add up to one whole job or 100% of the job 20/x is how much Mike does in the4 20 hour job 20/(x+9) is the part Jack does since he takes longer. jack can do it in x+9 hours and so he does 1/(x+9) in one hour. in 20/(x+9) he does his part of the 20 hour job so we multiply 20/x by (x+9)/(x+9) and we multiply 20/(x+9) by x/x (20*(x+9)+20x)/x*(x+9)=1 (40x+180)=x^2+9x 0=x^2-31x-180 we want factors of -180 that add up to -31 -18 and 10 sum -8 -36 and 5 -31 ok (x-36)*(x+5)=0 x=36 and x=-5 reject negative x=36 20/36+20/45=1 5/9+4/9=1 jack take 45 hours alone and mike takes 36 alone and together they take 20 hours in 20 hours jack does 4/9 of the job and mike does 5/9
 Coordinate-system/299700: In the x,y plane, what is the distance between origin and the (4,3) point?1 solutions Answer 215263 by richwmiller(9143)   on 2010-05-03 06:33:20 (Show Source): You can put this solution on YOUR website!The legs are 3 and 4 so the hypotenuse is 5 from the classic 3,4 ,5 right triangle
 Quadratic_Equations/299709: Together, two pipes can fill a swimming pool in 4 hours. 1 solutions Answer 215262 by richwmiller(9143)   on 2010-05-03 06:31:23 (Show Source): You can put this solution on YOUR website!just did this
 Rate-of-work-word-problems/299707: Together, two pipes can fill a swimming pool in 4 hours. Separately, the smaller pipe requires 6 more hours to fill the pool than the larger pipe. How many hours does it take for each pipe alone to fill the pool?1 solutions Answer 215261 by richwmiller(9143)   on 2010-05-03 06:30:17 (Show Source): You can put this solution on YOUR website!4/x+4/(x+6)=1 (8(x+3))/(x (x+6)) = 1 (8 (x+3))=(x (x+6)) 8x+24=x^2+6x x^2-2x-24 (x-6)*(x+4)=0 reject x=-4 x=6 one pipe takes 6 hours and the other takes 12 4/6+4/12=1 2/3+1/3=1
 Finance/299708: i know i shouldnt type like this things but please answer me.1 solutions Answer 215260 by richwmiller(9143)   on 2010-05-03 06:23:27 (Show Source): You can put this solution on YOUR website!We are not a refugee counseling service.
 Average/298994: The average of a set of 11 numbers is 11. If two numbers are removed the average of the remaining numbers is 10. What is the sum of the two numbers removed?1 solutions Answer 214979 by richwmiller(9143)   on 2010-05-01 09:28:39 (Show Source): You can put this solution on YOUR website!11*11=121 11-2=9 y is the sum of the two numbers removed (121-y)/9=10 121-y=90 y=31
 Circles/298989: I am a Mom I can not figure out how to do the area of a sector of a circle I have a central angle of 140 and a radius of 6 in and I know the answer is 43.96 but I can not do the math to make it come out to 43 so I can't explain to my child how to do this...so frustrated please help me1 solutions Answer 214978 by richwmiller(9143)   on 2010-05-01 08:54:49 (Show Source): You can put this solution on YOUR website!Area of a circle is pi*r^2 3.14 is pi r=6 what part of the circle do we want? 140/360 (36*3.14)*140/360= 36/360=1/10 140/10=14 3.14*14=43.96
 Average/298878: My exam grade is 82, possible points is 100, average score is 92. There are nine students in the class, what is the highest score and what is the lowest score.1 solutions Answer 214957 by richwmiller(9143)   on 2010-04-30 22:55:15 (Show Source): You can put this solution on YOUR website!Whose average score is 92?
 Systems-of-equations/298901: what is the solution to x=3y=2 -x=y=1?1 solutions Answer 214955 by richwmiller(9143)   on 2010-04-30 22:51:31 (Show Source): You can put this solution on YOUR website!I bet some of those = should +
 Linear-equations/298936: It has been over 40 years since I have had algebra. Below is a problem my son needs to solve. If you can provide the answers hopefully I will begin to remember how equations work so I can help him with the rest of his problems. Thanks. The equation for profit P in terms of the number of boxes sold s is: P = 5s - (100 + 2s). The number of boxes sold also depends on the number of choir members. a. Suppose each member sell 11 boxes. Write an equation that will predict profit from the number of choir members n. (Hint: Firts find an expression for the number of boxes sold) b. Write an equivalent expression for profit in part (a). Explain what the variables and numbers represent. c. Suppose the choir has 47 members. What is the profit? d. Suppose the profit is \$1,088. How many choir members are there? e. In part (d), how many boxes were sold? Barbara Best 1 solutions Answer 214954 by richwmiller(9143)   on 2010-04-30 22:49:20 (Show Source): You can put this solution on YOUR website!I suspect that there is something wrong with your equation/formula. It can be reduced. Formulas are in their reduced form P=5s-(100+2s) P=3s-100
 Polygons/298915: I need help with number 3 and 6 only. 1 solutions Answer 214952 by richwmiller(9143)   on 2010-04-30 22:18:09 (Show Source): You can put this solution on YOUR website!One problem at a time Website rule.
 Travel_Word_Problems/298908: 10) A long distance trucker traveled 300 miles in one direction 1 solutions Answer 214951 by richwmiller(9143)   on 2010-04-30 22:15:51 (Show Source): You can put this solution on YOUR website!One problem at a time (not 15) No similar problems Limit 4 problems a day (not 15) Chose correct categories. These are not my rules. They are website rules. Many violations today means no answers today.
 Quadratic_Equations/298730: 2. Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. Thank you so much for your assistance1 solutions Answer 214806 by richwmiller(9143)   on 2010-04-30 09:30:42 (Show Source): You can put this solution on YOUR website!already answered
 Graphs/298725: Find the equations for the following lines and then graph them using any graphing utility Parallel to 6x - 4y + 12 = 0, and passing through the line x = 3 6 times (3)-4y+12=0 18-4y+12=0 y=30/4 or 7.5 30-4y=0 30=4y 6x-4y+12=0 -4y/-4 = 6x+12/-4 4y=6x+12 y=6/-4x + 12 y=1.5x+12 slope = 6/-4 solution (3, 7.5) So I was able to get this much not sure if it is correct however I am lost when it comes to the graphing and the part of the problem whre it states passing through the line x=3 any help is much appreciated and needed Thank you Eric 1 solutions Answer 214800 by richwmiller(9143)   on 2010-04-30 08:59:44 (Show Source): You can put this solution on YOUR website!Please don't yell. We can hear you. We have new batteries in the hearing aids. HELLO I AM LOST ON THIS PROBLEMI I WAS ABLE TO COME UP WITH PART OF THE ANSWER BUT I AM NOW STUCK. I ALSO HAVE NO CLUE HOW TO GRAPH THIS ANY HELP WOULD BE APPRECIATED. All Caps is internet yelling. If it passes through x=3 that means the new line at some time has x=3 the original line has the equation 6x - 4y + 12 = 0 it has a slope of -a/b=-6/-4=3/2 The new line will also have a slope of 3/2 and an x of 3 y=3x/2 is our new line We are pretty sure it will pass through x=3 But how can we be sure? The only lines that won't pass through x=3 are parallel with x=3 x=3 has an undefined slope since y never changes. Our line has a slope of 3/2 so they do intersect. As a further test we can see if the original line passes through x=3 by plugging in 3 for x in the original equation but it is not necessary.
 Polynomials-and-rational-expressions/298715: A rancher in Dallas decides to build a silo inside his corral. The rectangular corral measures 25 meters by 15 meters and the silos base is circular with a diameter of 2 meters. Find a polynomial for the remaining area of the corral (in square meters) after the silo is built?1 solutions Answer 214796 by richwmiller(9143)   on 2010-04-30 07:58:02 (Show Source): You can put this solution on YOUR website!25*15-3.14=371.86 sq meters radius is 1 1^=1 so area of the silo is pi
 Miscellaneous_Word_Problems/298712: A cat, a fox and a dog share a portion of 450 grams of meat. If two foxes eat as much as three cats and two cats eat as much as a dog, how many grams of meat does the fox eat? 1 solutions Answer 214790 by richwmiller(9143)   on 2010-04-30 07:34:35 (Show Source): You can put this solution on YOUR website!c+f+d=450 2f=3c 2c=d c = 100, d = 200, f = 150 The other tutor was ok with x+x/2+3x/4=450 x=200 which is my d For some reason he multiplied part of the equation by 4 but not all and got 4x+2x+3x /4 = 450 if he had continued correctly 4x+2x+3x = 1800 9x=1800 x=200 each fox is 3x/4=600/4=150 which is my f
 Triangles/298705: what is the height of a 6,8, 10 right triangle 1 solutions Answer 214788 by richwmiller(9143)   on 2010-04-30 07:30:43 (Show Source): You can put this solution on YOUR website!Either 6 or 8 but not 10
 Miscellaneous_Word_Problems/298713: François is playing on a ladder. He starts out on the middle step. He then goes up 5 steps, down 10, up another 7 and up 9 more steps to the top. How many steps are there on the ladder? 1 solutions Answer 214787 by richwmiller(9143)   on 2010-04-30 07:26:36 (Show Source): You can put this solution on YOUR website!m=(x+1)/2, m+5-10+7+9=x x=23 steps m=12th step 23 steps 23-9=14 14-7=7 7+10=17 17-5=12 middle step 23 steps in all
 Percentage-and-ratio-word-problems/298708: When freezing, water increases its volume by 1/11. By what part of its volume will ice decrease when it melts and turns back into water? A.1/11 B. 1/10 C. 1/12 D. 1/13 E. 1/14 1 solutions Answer 214786 by richwmiller(9143)   on 2010-04-30 07:04:31 (Show Source): You can put this solution on YOUR website!12/11-12/11*1/12=1 so C.) 1/12 is the answer
 Expressions-with-variables/298667: The area of a square can be quadrupled by increasing the length by 12cm and the width by 2cm. What are the dimensions of the square? ( area of the square is ) I'm not sure if my start was correct but I started off with , and then ..1 solutions Answer 214772 by richwmiller(9143)   on 2010-04-29 23:30:49 (Show Source): You can put this solution on YOUR website!Remember that l=x and w=x 4x^2=x^2+2x+12x+24 3x^2=14x+24 (x-6)*(3x+4)=0
 Quadratic_Equations/298677: Sue can paint a barn by herself in X days. Mary can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x = 5.1 solutions Answer 214770 by richwmiller(9143)   on 2010-04-29 23:23:20 (Show Source): You can put this solution on YOUR website!y/x+y/2x=1 2y+y=2x 3y=2x y=2x/3 y/5+y/10=1 2y+y=10 3y=10 y=10/3 it takes them 10/3 (3 1/3 )days together if x=5 so they complete 3/10 in one day so they complete 3x/2 in one day
 Equations/298653: If y varies directly as x, and y = 1/3 when x = 4, write an equation for this relationship: a. y = (4/3)x b. y = (1/12)x c. y = (3/4)x d. y = 4/3x Would the answer be b or d ? I am guessing b but I am not sure what the difference is between b and d since they seem to produce the same answer.1 solutions Answer 214768 by richwmiller(9143)   on 2010-04-29 23:16:07 (Show Source): You can put this solution on YOUR website!x=4 y=1/3 a. y = (4/3)x 1/3=4/3*4 1/3=16/3 no b. y = (1/12)x 1/3=1/12*4=4/12 1/3=1/3 maybe c. y = (3/4)x 1/3=3/4*4 1/3=3 no d. y = 4/3x 1/3=4/3*4 1/3=1/3 maybe d is an inverse relationship not direct leaving b as you wanted
 Exponential-and-logarithmic-functions/298650: If y varies inversely as x, and k = -24, what is y when x = 6? a. -36 b. -4 c. -13 d. -14 Would the answer be b. -4 ?1 solutions Answer 214766 by richwmiller(9143)   on 2010-04-29 23:05:04 (Show Source): You can put this solution on YOUR website!yes