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richwmiller answered: 9121 problems
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Expressions-with-variables/282798: solve for x and y. 1.8x + 1.2y = 4 9x + 6y = 3 i tried to solve this by multiplying the first equation by -5 -5(1.8x + 1.2y) = 4(-5) -9x - 6y = -20 subtract the 2nd equation from the 1st -9x - 6y = -20 9x + 6y = 3 I would say that there is no solution to this problem. Is this correct ? 1 solutions Answer 205307 by richwmiller(9132)   on 2010-03-19 10:05:50 (Show Source): You can put this solution on YOUR website! 1.8x + 1.2y = 4 9x + 6y = 3 multiply first by -5 -9x-6y=-20 9x+6y=3 add both equations 0=-17 There are no solutions. They are parallel -a/b=slope -1.8/1.2=-3/2 -9/6=-3/2 The slopes are the same

Money_Word_Problems/282751: Greetings! I need help on this problem which, albeit it looks terribly simple in a first glance, I'm finding difficulty in getting the right solution. the answer to this problem is supposed to be $200. Here goes: A dealer bought a phonograph for $160. For how many dollars must he mark it so that after deducting 10% of the marked price, he may sell it at a profit of 12-1/2% of the cost? Thanks very much for the help guys! :) 1 solutions Answer 205305 by richwmiller(9132)   on 2010-03-19 09:51:59 (Show Source): You can put this solution on YOUR website! 160*1.125=d .9m=d d=180 discounted price m=200 marked price

Percentage-and-ratio-word-problems/282799: Arthur needs 20 quarts of 50% antifreeze solution in his radiator. He plans to obtain this mixture by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should he use? 1 solutions Answer 205303 by richwmiller(9132)   on 2010-03-19 09:20:02 (Show Source): You can put this solution on YOUR website! 20*.5=x+.4y x+y=20 x=3 1/3 quarts of pure y=16 2/3 quarts of 40 %

Polynomials-and-rational-expressions/282807: identify the zeros of the function y=(x+3)(x+12) 1 solutions Answer 205302 by richwmiller(9132)   on 2010-03-19 09:15:53 (Show Source): You can put this solution on YOUR website! set each factor to zero and solve. x+3=0 x+12=0

Square-cubic-other-roots/282809: find the square root of x^2+2x+1=9 1 solutions Answer 205301 by richwmiller(9132)   on 2010-03-19 09:14:18 (Show Source): You can put this solution on YOUR website! You can't find the square root of an equation. You can find the square roots of each side. first we factor the left side. (x+1)^2=9 x+1=-3 x=-4 x+1=3 x=2 x=(2,-4)

Expressions-with-variables/282722: Can you please help me with this problem. I was trying to figure it out, so I wrote 100pnds divided by x. If a wholesaler buys 100 pounds of shrimp for x dollars, then what is the price per pound? 1 solutions Answer 205263 by richwmiller(9132)   on 2010-03-18 23:00:59 (Show Source): You can put this solution on YOUR website! If I buy one pound for 1 dollar, what is the price per pound? 1 Dollar Now if I buy 2 pounds for a dollar, what is the price per pound? 1/2 dollar If I buy 5 pounds for 2 dollars what is the price per pound? 2/5 dollar (40 cents) per pound. so 100 pounds for x dollars is x/100 dollars per pound

Exponents-negative-and-fractional/282708: Okay, so i am doing exponential functions. i do not get how to do it. how would i do this problem g(t)=2*3 to the power of -2 1 solutions Answer 205261 by richwmiller(9132)   on 2010-03-18 22:55:07 (Show Source): You can put this solution on YOUR website! g(t)=2*3^(-2) g(t)=2/9

Linear-systems/282721: 1)-x+y=3 2x-2y=6 1 solutions Answer 205260 by richwmiller(9132)   on 2010-03-18 22:52:07 (Show Source): You can put this solution on YOUR website! 1)-x+y=3 2x-2y=6 double #1 -2x+2y=6 2x-2y=6 add 0=12 no solution.

Pythagorean-theorem/282720: A lifeguard's pole must be able to reach every part of the kiddie pool while he remains seated in the lifeguard stand, 4' above the pool. The pool is 12' wide and 20' long. Find the length that the pole must be in order to reach the bottom depth of the pool (3') at the furthest point from the lifeguard stand. 1 solutions Answer 205258 by richwmiller(9132)   on 2010-03-18 22:47:23 (Show Source): You can put this solution on YOUR website!

expressions/282719: USE THE DISTRIBUTIVE PROPERTY TO WRITE THE FOLLOWING PROBLEM WITHOUT PARENTHESES -(R-7-6P)+2 1 solutions Answer 205257 by richwmiller(9132)   on 2010-03-18 22:41:11 (Show Source): You can put this solution on YOUR website! I am old but I don't use a hearing aid. Stop shouting.

expressions/282698: how do you solve (x+3)^3? 1 solutions Answer 205255 by richwmiller(9132)   on 2010-03-18 22:39:25 (Show Source): You can put this solution on YOUR website! This is an expression. Equations are solved; expressions are reduced or simplified. This expression is simplified

Miscellaneous_Word_Problems/282713: Four numbers have a sum of 9900. The second exceeds the first by one-seventh of the first. The third exceeds the sum of the first two by 300. The fourth exceeds the sum of the first three by 300. Find the four numbers. 1 solutions Answer 205252 by richwmiller(9132)   on 2010-03-18 22:36:34 (Show Source): You can put this solution on YOUR website! a+b+c+d=9900 b-a/7=a c-300=a+b d-300=a+b+c a = 1050, b = 1200, c = 2550, d = 5100

Exponents-negative-and-fractional/282712: is the answer to (2x^3)^-3 1/8 * 1/x^6? 1 solutions Answer 205249 by richwmiller(9132)   on 2010-03-18 22:31:11 (Show Source): You can put this solution on YOUR website! It depends,what is the question?

Linear-systems/282696: Please help me get started solving this equation: 4/3x + 2y = 6 I know you need to get a common denominator but I am not sure how this works with a fraction like 4/3x involved.... 1 solutions Answer 205248 by richwmiller(9132)   on 2010-03-18 22:29:13 (Show Source): You can put this solution on YOUR website! Sorry there is not one unique solution. This is one equation with two variables (unknowns). To solve we need one equation for each unknown. To solve an equation means to find the value of the variables. Now it appears that you don't really want to solve the equations but you want to know if the lines are parallel or perpendicular or neither. What is the full original problem as given by the teacher or the book? 1/2x - y/3 = 2 4/3x + 2y = 6 They are not parallel. They do cross at x = 13/54, y = 3/13 Now the question is whether they are perpendicular. For that we do need the slopes we can find the slope when the equation is in the form y=mx+b or while it is the standard form ax+by+c=0 They are both in standard form first a=1/2 and b=-1/3 -a/b -1/2/-1/3=-1/2*-3=3/2=slope second a=4/3 and b=2 -a/b= -4/3/2=-4/3*1/2=-2/3 =slope -2/3*3/2=-1 They are perpendicular since the product of the slopes is -1.

Linear-systems/282711: Four gallons of a 45% acid solution is obtained by mixing a 90% solution with a 30% solution. How many gallons of each solution must be used to obtain the desired mixture? 1 solutions Answer 205247 by richwmiller(9132)   on 2010-03-18 22:25:52 (Show Source): You can put this solution on YOUR website! .9*x+.3*y=.45*4 x+y=4 x=1 y=3

Distributive-associative-commutative-properties/282704: find the gcf of the two expressions 6t^4u^7z^7 and 12t^3u^2 1 solutions Answer 205246 by richwmiller(9132)   on 2010-03-18 22:23:06 (Show Source): You can put this solution on YOUR website! (6t^3u^2)*(t*u^5z^7+2)

Linear-equations/282700: (6,-4),(-3,5) 1 solutions Answer 205243 by richwmiller(9132)   on 2010-03-18 22:20:37 (Show Source): You can put this solution on YOUR website! Nice points. Are you selling, lending or dating them?

Distributive-associative-commutative-properties/282710: Factor 7x^2+xy+2y+14x 1 solutions Answer 205242 by richwmiller(9132)   on 2010-03-18 22:18:47 (Show Source): You can put this solution on YOUR website! 7x^2+xy+2y+14x 7x^2+14x+xy+2y (7x+y)*(x+2)

Linear-equations/282706: If i needed 2 points to be in Y intercept form, what would the answer be for (-5,2) and (4,1)? y=mx+b should bt the form. Thanks. 1 solutions Answer 205238 by richwmiller(9132)   on 2010-03-18 22:12:43 (Show Source): You can put this solution on YOUR website! Your problem makes no sense. Perhaps you mean "If I have two points (-5,2) and (4,1), what is an equation in slope intercept form y=mx+b?" y-y=m(x-x) 2-1=m(4-(-5)) 1=m*9 m=1/9 y=mx+b 1=1/9*4+b 1=4/9+b 5/9=b y=x/9+5/9

expressions/282705: factor 3y - 3w + yt - tw 1 solutions Answer 205237 by richwmiller(9132)   on 2010-03-18 22:07:02 (Show Source): You can put this solution on YOUR website! 3*(y-w)+t*(y-w) (3+t)*(y-w)

Radicals/282580: how do you solve this equation (4t-3)/5-(4-2t)/3=1 ? 3(4t-3)/15-5(4-2t)/15=1 12t-9-20+8t=15 20t-29=15 20t=44 t=44/20 t=11/5 t=2.2 1 solutions Answer 205235 by richwmiller(9132)   on 2010-03-18 22:04:45 (Show Source): You can put this solution on YOUR website! Close! t=2 how do you solve this equation (4t-3)/5-(4-2t)/3=1 ? 3(4t-3)/15-5(4-2t)/15=1 NOT 12t-9-20+8t=15 because -5*-2t=+10t BUT 12t-9-20+10t=15 22t=44 t=2

Volume/282687: find the volume of a rectangle when its square base is 4 ft and its height is 6 ft 1 solutions Answer 205232 by richwmiller(9132)   on 2010-03-18 21:37:57 (Show Source): You can put this solution on YOUR website! Sorry but this is all impossible. Rectangles are two dimensional. Perhaps you mean a rectangular prism 4*4*6 ft^3

Linear-equations/282573: 4. The equation a = 640s gives the relationship between s square miles and a acres. Pam owns 7.5 square miles of farmland. How many acres does she own? 1 solutions Answer 205188 by richwmiller(9132)   on 2010-03-18 18:10:17 (Show Source): You can put this solution on YOUR website!

Numbers_Word_Problems/282575: The Sum of the numbers on two consecutive pages in a book is 897. Find the page numbers. V+(V+1)=897 v^2=896 ? 1 solutions Answer 205186 by richwmiller(9132)   on 2010-03-18 18:09:06 (Show Source): You can put this solution on YOUR website! not V^2 but 2V=896 v=896/2=448 and v+1=449

Quadratic_Equations/282574: For the following equation, state the value of the discriminant and then describe the nature of the solutions. What is the value of the discriminant? A) The equation has 2 imaginary solutions B) the equation has 2 real solutions C) The equation has 1 real solution 1 solutions Answer 205185 by richwmiller(9132)   on 2010-03-18 18:06:44 (Show Source): You can put this solution on YOUR website! 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 : . The discriminant -331 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -331 is + or - . The solution is Here's your graph:

Rational-functions/282578: n(to the power of 2)+8n= 15 / n(to the power of 2) - 25 1 solutions Answer 205184 by richwmiller(9132)   on 2010-03-18 18:04:41 (Show Source): You can put this solution on YOUR website! (n^2+8n+15)/(n^2-25)=(n+5)*(n+3)/(n+5)*(n-5)= (n+3)/(n-5)

Quadratic_Equations/282576: If the sides of a square are lengthened by 7cm, the area becomes . Find the length of a side of the original square. The length of a side of the original square ____cm 1 solutions Answer 205182 by richwmiller(9132)   on 2010-03-18 18:01:16 (Show Source): You can put this solution on YOUR website! (x+7)^2=169 we are dealing with length so we need real roots x+7=13 x=6 check (6+7)^2=169 ok

test/282537: If x, y and z are three consecutive odd integers such that 10< x < y < z<20 and if y and z are prime numbers, what is the value of x + y? If you can please guide me step by step what to do to solve this problem I would really appreciated. 1 solutions Answer 205181 by richwmiller(9132)   on 2010-03-18 17:57:18 (Show Source): You can put this solution on YOUR website! Did this one a few days ago. Odd integers between 10 and 20 are 11,13,15,17,19 so possible groups are 11,13,15 13,15,17 15,17,19 15 is not prime so can't be second nor third that leaves only 15,17 19 so 15+17=32

test/282545: If 40% of x is equal to 30% of y, what % is x of y? Please Help me solve this problem step by step. 1 solutions Answer 205179 by richwmiller(9132)   on 2010-03-18 17:51:14 (Show Source): You can put this solution on YOUR website! 4x/10=3y/10 multiply by ten 4x=3y we want to know x/y x/y=3/4=.75=75%

Expressions-with-variables/282561: WHAT IS THE THE ANSWER 5b to the power 3. B=2 1 solutions Answer 205167 by richwmiller(9132)   on 2010-03-18 17:31:00 (Show Source): You can put this solution on YOUR website! 5b^3 b=2 5*2^3 2^3=8 5*8=40

Mixture_Word_Problems/282535: Two different chemicals are to be mixed, Chemical 1 is 25% citrate acid, and Chemical 2 is 37% ascorbic acid. A 24 milliliters of mixture solution is desired with 30% of acid in it. 1 solutions Answer 205165 by richwmiller(9132)   on 2010-03-18 17:28:55 (Show Source): You can put this solution on YOUR website! .25x+.37y=24*.30 x+y=24 x=14 y=10