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# Recent problems solved by 'richwmiller'

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 Money_Word_Problems/254551: a pair of shoes cost \$52.99 and the state sales tax is 8%.use the formula C=p+rp to find the total cost of the shoes,where C is the total cost, P is the price, and R is the sales tax rate.1 solutions Answer 186977 by richwmiller(9144)   on 2010-01-07 18:51:27 (Show Source): You can put this solution on YOUR website!C=p+rp 52.99=p+.08*p 52.99=1.08*p multiply by 100 5299=108p 5299/108=p
 Quadratic_Equations/254645: x^2=x+6 please help.1 solutions Answer 186973 by richwmiller(9144)   on 2010-01-07 18:44:30 (Show Source): You can put this solution on YOUR website!x^2-x-6=0 We are looking for factors of 6 which differ by 1 One will be negative and one positive (x-3)(x+2)=0
 Exponents/254634: please solve this using only positive exponents... 1 solutions Answer 186969 by richwmiller(9144)   on 2010-01-07 18:41:57 (Show Source): You can put this solution on YOUR website!There is nothing to solve since there is no equal sign. We can simplify it or put it in terms of only positive exponents. Negative exponents just mean the inverse or reciprocal. Now you can simplify and cancel I am mystified how drk changed the 4^4 to 4^2. I didn't see any cancelling available.
 Finance/254611: A company buys pop tabs for \$0.75 per kilogram. if 1265 pop tabs have a mass of one pound, how many pop tabs are needed to purchase a wheelchair worth \$2500? Hint: 1 kilogram = 2.2 pounds.1 solutions Answer 186960 by richwmiller(9144)   on 2010-01-07 18:26:11 (Show Source): You can put this solution on YOUR website!BTW This was a scam that went around for many years. 1265*2.2= 2783 one kilo of tabs 2500=.75*x x=3333.33 kilos needed 3333.33*2783= 927665739/100 = 9276657 + 39/100 number of tabs needed Since they don't buy part of a tab they need 9276658 tabs
 Rectangles/254632: Please help me solve this and can you show me how you did it? To rectangles are similar. The ratio of their corresponding sides is 1:4. Find the ratio of there perimeters and their areas 1 solutions Answer 186952 by richwmiller(9144)   on 2010-01-07 18:15:30 (Show Source): You can put this solution on YOUR website!If their ratio is 1:4 that means every thing on one is 4 times the size of the other so one will have the p=2L+2W and A=L*W the other will be p=2(4L) +2*(4W) and A=4L*4W p=8L +8W so the ratio of perimeter will be 2:8=1:4 A=16*L*W will be 1:16 or 1:4^2
 Word_Problems_With_Coins/254630: If 24 coins in half-dollars and dimes are worth \$3.60, how many coins of each type are there?1 solutions Answer 186947 by richwmiller(9144)   on 2010-01-07 18:10:55 (Show Source): You can put this solution on YOUR website!h+d=24 50h+10d=360 h=24-d 50(24-d)+10d=360 solve for d first then for h
 Graphs/254618: solve for the indicated letter e=7f, for f f=1 solutions Answer 186944 by richwmiller(9144)   on 2010-01-07 18:08:59 (Show Source): You can put this solution on YOUR website!e=7f divide both sides by 7 e/7=f
 Graphs/254616: -3/4x-9/10 solve using multiplication principle. those are fractions.1 solutions Answer 186943 by richwmiller(9144)   on 2010-01-07 18:03:02 (Show Source): You can put this solution on YOUR website!Should that second - be an = ? If there is no equal sign there is nothing to solve. and it is in the simplest form to nothing to reduce. You want to factor it!! -3/2*(x/2+3/5)
 Expressions-with-variables/254619: -5x+7y=11 -5x+3y=191 solutions Answer 186942 by richwmiller(9144)   on 2010-01-07 18:01:13 (Show Source): You can put this solution on YOUR website!subtract either from the other and eliminate -5x Be careful with signs
 Probability-and-statistics/254627: A test shows that 10 out of 100 gadgets are defective. In a random sample of two gadgets are chosen, the probability that both are defective is: A 1/1000 B 1/110 C 1/11 D 1/10 Help!1 solutions Answer 186941 by richwmiller(9144)   on 2010-01-07 17:59:59 (Show Source): You can put this solution on YOUR website!10/100=1/10 I would have opted for 1/10*1/10=1/100 but that is not one of the choices.
 Linear-equations/254626: What are the three ordered pairs that are solutions for this equation? y=4x-11 solutions Answer 186937 by richwmiller(9144)   on 2010-01-07 17:56:43 (Show Source): You can put this solution on YOUR website!There are many more than three ordered pairs that are solutions. Just pick any x and calculate y y=4x-1 y=4*0-1 y=4*1-1 y=4*2-1
 Graphs/254625: -2 i need help knowing my options. i am unsure which one would be correct. Solving it numbers way i have the answer but the chart part i am confused. is it 1.) <---0 (circle is colored in) 0---> this circle is not colored in 2.) circle colored in 0------0 circle not colored in 3.) 0------0 circle colored in at this end 4.) <----0 (not colored in) 0----->colored in at this end i hope this doesnt confuse you.1 solutions Answer 186933 by richwmiller(9144)   on 2010-01-07 17:53:34 (Show Source): You can put this solution on YOUR website!So what is the question about these circles?
 Polygons/254623: Statistics show 2 out of 5 people will nap after their Thanksgiving meal. ?How nany will be napping at Ms. Botia's party if 40 people attended?1 solutions Answer 186932 by richwmiller(9144)   on 2010-01-07 17:52:00 (Show Source): You can put this solution on YOUR website!I know Ms. Botia and they will all be napping. otherwise it would be 2/5*40=80/5 you do the rest.
 Geometry_proofs/254624: draw line t and line m so they are perpendicular, and give the measure of all anglges?1 solutions Answer 186931 by richwmiller(9144)   on 2010-01-07 17:50:17 (Show Source): You can put this solution on YOUR website!perpendicular lines have angles of 90 degrees
 Quadratic_Equations/254607: find two consecutive integers whose product is 421 solutions Answer 186920 by richwmiller(9144)   on 2010-01-07 17:33:17 (Show Source): You can put this solution on YOUR website!(n+1)*n=42 n^2+n=42 n^2+n-42=0 we want factor of 42 wuth a difference of one 7 and 6 come to mind 1,42 2,21 3,14 (n-6)(n+7)=0 The problem doesn't say positive integers so we have two answers n=6 and n=-7 6 and 7 and -7 and -6
 Expressions-with-variables/254594: x-10y=60 x+14y=121 solutions Answer 186918 by richwmiller(9144)   on 2010-01-07 17:22:49 (Show Source): You can put this solution on YOUR website!subtract the second from the first and you eliminate x be careful with the signs minus minus a plus makes a total of minus it is like adding two minuses-10y-14y=-24y
 Signed-numbers/254587: order of operation for (3/4-2/3)+(1/2+1/3) order of operation for 1/2+(2/3 div by 3/4)-(4/5*5/6)1 solutions Answer 186914 by richwmiller(9144)   on 2010-01-07 17:17:30 (Show Source): You can put this solution on YOUR website!order of operations PEMDAS parentheses exponents multiplication division addition subtraction Simplify and combine what is inside each set of the parentheses first then everything else will look simple. so start with the first set of parentheses (3/4-2/3)+(1/2+1/3) 1/2+(2/3 div by 3/4)-(4/5*5/6) you have to subtract fractions that don't have the same denominator. (3/4-2/3) for the first two you have denominators of 3 and 4 so you need 12ths (1/2+1/3) here you have denominators of 2 and 3 so need 6 but you will be adding to 12th's so it might be better to use 12th's here too second problem 1/2+(2/3 div by 3/4)-(4/5*5/6) First thing is divide one fraction by another. Do you remember the trick for that? take the second fraction and invert it (turn it upside down ) so now you have 3/4 turned over to 4/3 so now you multiply 2/3*4/3 which is the same as 2/3/3/4 and easier to deal with next you have to multiply 4/5*5/6 that is simple enough you get to cancel out a couple numbers here and reduce it now rewrite the fractions with the new results and see what you have. It should all look easy now. Let me know how you do
 Surface-area/254586: The area of a square is 50. what is the length of the diagonal?? Thank you !1 solutions Answer 186912 by richwmiller(9144)   on 2010-01-07 17:01:08 (Show Source): You can put this solution on YOUR website!A=s^2 50=s^2 let c=diagonal a and b the sides a=s b=s a^2+b^2+c^2 where c=the diagonal and both a^2 and b^2 =s^2 The diagonal will be 2s^2=c^2 2*50=c^2 100=c^2 c=10 the diagonal equals 10
 Proportions/254589: im trying to figure out what to do with the remander... the problem is 15 5 - - 10 H i know i must cross multiply and i get 15H and 50 then divide but i get a remander of 5.. i dont know what to do with the remainder1 solutions Answer 186910 by richwmiller(9144)   on 2010-01-07 16:54:59 (Show Source): You can put this solution on YOUR website!If the problem is 15/10=5/h then you get 15h=50 h=50/15 h=10/3=3 1/3
 Money_Word_Problems/254568: The class decided to rent a truck at a cost of \$150 for the week. The market price for recycled newspapers is \$15 per ton. Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected1 solutions Answer 186899 by richwmiller(9144)   on 2010-01-07 16:19:17 (Show Source): You can put this solution on YOUR website! m=money t=tons m=15t+150
 Numeric_Fractions/254566: a pitcher threw 60 pitches. 35 of those pitches were outside of the strike zone. what was his ratio of strikes to pitches?1 solutions Answer 186897 by richwmiller(9144)   on 2010-01-07 16:16:41 (Show Source): You can put this solution on YOUR website! 60-35=25 25:60
 Equations/254570: Find all the zeros of the polynomial function. f(x) = x (to the 3rd power) + 3x(to the 2nd power) + 25x + 751 solutions Answer 186896 by richwmiller(9144)   on 2010-01-07 16:15:06 (Show Source): You can put this solution on YOUR website!(x+3) (x^2+25) = f(x)
 Miscellaneous_Word_Problems/254470: The GCF (greatest common factor) of 84 and another number, y, is 42. Their LCM (least common multiple) is 252. Determine the value of y.1 solutions Answer 186855 by richwmiller(9144)   on 2010-01-07 13:00:18 (Show Source): You can put this solution on YOUR website!given 84 has factors :2*2*3*7 gcf 42 has factors :2,3,7 lcm 252 has factors 2*2*3*3*7 given has only one 3 but lcm has 3*3 gcf says that 2 and 7 are in both y=3*3*2*7 y=126
 Linear-systems/254498: A man has a collection of 29 classic cars and motorcycles. The total number of wheels for both the cars and motorcycles is 96. How many cars does this man have?1 solutions Answer 186845 by richwmiller(9144)   on 2010-01-07 12:38:44 (Show Source): You can put this solution on YOUR website!c+m=29 4c+2m=96 c=19 m=10
 Exponents-negative-and-fractional/254405: what is fractional exop onents?1 solutions Answer 186839 by richwmiller(9144)   on 2010-01-07 12:28:27 (Show Source): You can put this solution on YOUR website!Never heard of fractional exop onents! Have you? You might get a better response if you check your spelling. It is just laziness, arrogance and disrespect since all computers have spell checking. You need to learn. We are teachers here. Ask the question properly. Not only did you misspell the last word but you used is with a plural noun. I give you 5 points for a question mark but take it away for the small letter starting the sentence. If you want us to take you seriously you should take us seriously.
 Equations/254497: I am studying for a college entrance exam and am stumped by this question. I tried to solve it in many different ways, and have worked on it over and over again but I still cannot find an answer that I am confident is correct. Any help would be greatly appreciated! 9x^2/144 - 4/25 I tried to make the fractions have the same denominator, then subtract, then reduce but that was incorrect. Thanks! -Britt1 solutions Answer 186837 by richwmiller(9144)   on 2010-01-07 12:25:09 (Show Source): You can put this solution on YOUR website!You didn't say what you want to with this mess. Is there an equal sign somewhere? Is it (9x^2)/(144 - 4/25) yields (225 x^2)/3596 or (9x^2/144)-(4/25) yields x^2/16-4/25 or 1/400(5x-8)(5x+8)
 Equations/254496: I am practicing for a college entrance test and need help with this question a^2+n+2b^2=(a+b) (a+2b) Thank you so much! Here is what I tried: a^2+n+2b^2=(a+b) (a+2b) -a -a a+n+2b^2= (b) (a+2b) -2b -2b a+n+b^2=(b)(a) -a -a n+b^2=b -b -b n+b=? Looking at this now I see that this is completely incorrect... -Britt1 solutions Answer 186832 by richwmiller(9144)   on 2010-01-07 12:14:43 (Show Source): You can put this solution on YOUR website!n=3ab the first thing to do is multiply out the (a+b)(a+2b) a^2+ab+2ab+2b^2 consolidate a^2+3ab+2b^2 compare that to the left and we see that n=3ab you can subtract the like items which will leave n=3ab
 Rectangles/254490: The sum of the second, third consecutive integers decreased by the first is 20. Find the three integers1 solutions Answer 186828 by richwmiller(9144)   on 2010-01-07 12:03:09 (Show Source): You can put this solution on YOUR website!n+n+1+n+2 n+1+n+2-n=20 n+3=20 n=17 18+19-17=20 37-17=20 17, 18,19
 Geometry_Word_Problems/254475: A “4 x 4 x 4” cube is made from 32 white unit cubes and 32 black unit cubes. What is the largest possible percent of black surface area?1 solutions Answer 186827 by richwmiller(9144)   on 2010-01-07 11:56:49 (Show Source): You can put this solution on YOUR website!4*4*4=64 If top layer and bottom layer were all black we would maximize black surface 16 black on top and 16 on bottom=32 cubes now how many surfaces squares are black 32 plus 8 on each of 4 sides times 4=32 more 64 are black White are 32 =8 on each of 4 sides but not top and bottom
 Linear-equations/254484: Referring to the figure, solve the equation shown. 1/4x-5=271 solutions Answer 186826 by richwmiller(9144)   on 2010-01-07 11:48:59 (Show Source): You can put this solution on YOUR website!Can't solve by referring to the figure since you didn't supply a figure. And it doesn't want a solution by math.
 Rational-functions/254485: A farmer has 20 days to plant corn and soybeans - the corn can be planted at a rate of 10 acres per day and the soybeans at a rate of 15 acres per day - the farm has 250 acres available - if the profit on corn is \$30.00 per acre and the profit on soybeans is \$25. per acre how much of each should the farmer plant for maximum profit first find the inequalities then graph them x and y cordinate plane and find where the different inequalities intersect- then take the points where they intersect and then times the cordinates by \$30.00 for the corn and \$25.00 for the soybeans 1 solutions Answer 186825 by richwmiller(9144)   on 2010-01-07 11:47:09 (Show Source): You can put this solution on YOUR website!If the profit were so low no one would farm!