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# Recent problems solved by 'richwmiller'

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 Numbers_Word_Problems/255922: what 2 consecutive 2 digit numbers equal 8121 solutions Answer 188111 by richwmiller(9135)   on 2010-01-11 21:38:30 (Show Source): You can put this solution on YOUR website!What equals 812? the sum of the numbers? the sum of the digits? their product?
 Linear-systems/255829: how do i find the equation of a line through two points, (4,3) and (2,4)? Please explain, the book says the answer is y=-1/2x+5 but I don't get how they got -1/2 and 5.1 solutions Answer 188068 by richwmiller(9135)   on 2010-01-11 18:54:27 (Show Source): You can put this solution on YOUR website!-1/2=m 5=b y=mx+b y-y1=m*(x-x1) where m=slope the -1/2 (4-3)=m*(2-4) 1/-2=-1/2=m y=mx+b now choose either point. 4=-1/2*2+b 4=-1+b 5=b
 Points-lines-and-rays/255807: In the diagram, ABCDE is a regular pentagon with the measure of represented by 2x + 1. If the perimeter of the pentagon is 45, find the value of x.1 solutions Answer 188061 by richwmiller(9135)   on 2010-01-11 18:41:25 (Show Source): You can put this solution on YOUR website!Reminder : Website rules One question per submission. 4 questions daily No similar questions A regular pentagon has 5 equal sides. 45/5=9 Unfortunately, you didn't say what 2x+1 represents. If 2x+1 is one side the 2x+1=9 2x=8 x=4
 Travel_Word_Problems/255816: you want to cover 100 miles in 18 hours how fast should your average speed be1 solutions Answer 188057 by richwmiller(9135)   on 2010-01-11 18:34:53 (Show Source): You can put this solution on YOUR website!rt=d If it were 5 mph for 20 hours, he would go 100 miles. So the speed should be about 5 mph. r*18=100 r=100/18=50/9= 5 5/9 mph
 Graphs/255813: What is the slope of 2x+3y=11 solutions Answer 188045 by richwmiller(9135)   on 2010-01-11 18:18:59 (Show Source): You can put this solution on YOUR website!The slope form is y=mx+b 3y=-2x+1 y=-2/3*x+1/3 slope is m=-2/3
 Graphs/255808: Which equation is equivalent to 4x-5(5x+2)=25x?1 solutions Answer 188042 by richwmiller(9135)   on 2010-01-11 18:16:55 (Show Source): You can put this solution on YOUR website!4x-25x-10=25x 4x-10=50x -10=46x -10/46=x -5/23=x Are there choices for an equivalent equation?
 Functions/255797: Please help me with this... For all x=-4, which of the following is equivalent to the expression below? x2 + 12x +32 ------------------- x+41 solutions Answer 188040 by richwmiller(9135)   on 2010-01-11 18:12:40 (Show Source): You can put this solution on YOUR website!You forgot to include "the following" If x=-4 in the expression then the expression is undefined since division by 0 is undefined. == except when
 Numbers_Word_Problems/255763: The difference between two numbers is six and a half,the sum of the numbers is one more than the square root of their product. What is the smaller number?1 solutions Answer 188030 by richwmiller(9135)   on 2010-01-11 17:24:14 (Show Source): You can put this solution on YOUR website!a-b=6.5 a+b=1+sqrt(ab) I find it hard to believe that this could be right. The difference (first equation) tells us that the numbers are not integers. But the answers from my equations are all complex numbers involving i.
 Exponents/255753: I have trouble with homework I need help I have to collect like terms and I forgot how to do it. 5x^3+8x^3+3=1 solutions Answer 188018 by richwmiller(9135)   on 2010-01-11 16:58:47 (Show Source): You can put this solution on YOUR website!You don't have to add all the drama . Everyone here wants help with their homework and don't know how tom do it. Here is an example of collecting like terms. 4a+2a=6a Look at x^3 as if it were the a above 5(x^3)+8(x^3)+3=
 Inequalities/255755: what are the steps on how to solve compound inequalities?1 solutions Answer 188016 by richwmiller(9135)   on 2010-01-11 16:53:51 (Show Source): You can put this solution on YOUR website!The first step is submit the problem properly without adding unnecessary dead space.
 Numbers_Word_Problems/255749: When a number is diminished by its opposite, the result is 12. Find the number. 1 solutions Answer 188013 by richwmiller(9135)   on 2010-01-11 16:51:17 (Show Source): You can put this solution on YOUR website!Your first problem is a fun trick. A number added to its opposite is 0. 6+(-6)=0 So if you are diminishing by its opposite you are doubling it. 6-(-6)=12 Sorry but you are limited by the website rules to one question per submission and limited to 4 problems daily and also no similar problems.
 Exponents/255738: a. Simplify the following expressions. (-1)^1, (-1)^2, (-1)^3, (-1)^4, (-1)^5/ b. What is the sign of the final answer when the exponent is odd? When the exponent is even? c. Use your answer from part (b) to simplify (-1)^19.1 solutions Answer 188011 by richwmiller(9135)   on 2010-01-11 16:43:24 (Show Source): You can put this solution on YOUR website!1 times 1 is 1 the only question is which sign. When the number (-1) is raised to an even power (exponent) the sign is positive and when the power is odd the sign is neqative.
 Graphs/255641: what graph represents the equation 2x+5y=10 1 solutions Answer 187909 by richwmiller(9135)   on 2010-01-11 12:41:47 (Show Source): You can put this solution on YOUR website!plot y when x=0 y=2 (0,2) when y=0 x=5 (5,0) plot those points and connect them with a straight line
 Triangles/255680: The measures of the two acute angles in a right triangle are in the ratio 2:3. What is the measure of the smallest angle of the triangle?1 solutions Answer 187906 by richwmiller(9135)   on 2010-01-11 12:39:14 (Show Source): You can put this solution on YOUR website!2x/5+3x/5+90=180 2/5*90=180/5=36 smallest 90-36=54 larger acute
 Angles/255668: Write and solve an equation to find the angle, its complement, and its supplement in this problem: The supplement of angle is 36 degrees less than three times its complement.1 solutions Answer 187903 by richwmiller(9135)   on 2010-01-11 12:34:57 (Show Source): You can put this solution on YOUR website!a+s=180 s=180-a a+c=90 c=90-a s=-36+3c substitute 180-a for s substitute 90-a for c 180-a=36+3*(90-a) I leave the solving to you
 Expressions-with-variables/255670: what is the value of x? 3x+18=5x+301 solutions Answer 187902 by richwmiller(9135)   on 2010-01-11 12:31:27 (Show Source): You can put this solution on YOUR website!subtract 3x from both sides subtract 30 from both sides yes x can be a minus number.
 Angles/255677: State the angles that are supplementary to: 20 degree, 100 degree, 47 degree and 118 degrees?1 solutions Answer 187901 by richwmiller(9135)   on 2010-01-11 12:29:36 (Show Source): You can put this solution on YOUR website!Supplementary angles add up to 180. 180-20 180-100 180-47 180-118
 percentage/255673: What is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) ?1 solutions Answer 187899 by richwmiller(9135)   on 2010-01-11 12:27:57 (Show Source): You can put this solution on YOUR website!-1-7=(5-(-3))*m -8=8m -8/8=m -1=m y-7=-1(x-(-3) y-7=-1x-4*3 y-7=-x-12 y=-x-5 This lines slant down from left to right. when x=0 y=-5 when y=0 x=-5 BTW There are an infinite number of lines with those x's and y's not just one. So the question should have been "What is an equation of a line etc?"
 Radicals/255483: how do i work out the equation x/7 = x-5/21 solutions Answer 187892 by richwmiller(9135)   on 2010-01-11 12:13:32 (Show Source): You can put this solution on YOUR website!multiply through by 14 2x=14x-5*7 2x=14x-35 35=12x 35/12=x almost 3 =x 2.916=x
 Rectangles/255639: One side of a rectangle is (2x - 3) metres. The perimeter of the rectangle is 50 metres. (a) Show that the area, A, of the rectangle is given by A=62x-84-4x(squared) The area of the rectangle is 126m(squared)1 solutions Answer 187890 by richwmiller(9135)   on 2010-01-11 12:09:59 (Show Source): You can put this solution on YOUR website!2*(2x-3)+2W=50 4x-6+2W=50 2w=50+6-4x w=25+3-2x width=w=28-2x length=2x-3 A=62x-84-4x^2 -2(x-14)*(2x-3) (2x-3)*(-2)*x-14) (2x-3)(-2x+28) (2x-3)(28-2x) length=2x-3 width =28-2x They are equal therefore A=62x-84-4x^2
 Miscellaneous_Word_Problems/255657: Stacy has a collection of coins from 5 diffrent countries. Half of the coins are from England, 1/6 are from Mexico, 1/6 are from India, 1/12 are from Italy, and 7 are from Spain. How many coins are in the collection, and how many are from each country?1 solutions Answer 187883 by richwmiller(9135)   on 2010-01-11 11:46:55 (Show Source): You can put this solution on YOUR website!let x= total number of coins x/2+x/6+x/6+x/12+7=x x=84 84/2=England 84/6=Mexico and India 84/12=Italy 7 Spain
 Radicals/255659: 80. Find all real or imaginary solutions to each equation. Use the method of your choice. w2=-225 30. Solve each equation by using the quadratic formula. -3x^2-2x-5=01 solutions Answer 187880 by richwmiller(9135)   on 2010-01-11 11:38:11 (Show Source): You can put this solution on YOUR website!w^2=-225 w=-15i w=15i where i=sqrt(-1)
 Exponents-negative-and-fractional/255658: How to type a negative sign on the computer to be able to solve a problem?1 solutions Answer 187879 by richwmiller(9135)   on 2010-01-11 11:35:50 (Show Source): You can put this solution on YOUR website!Next to the zero and ) key you will see - and _ use - for negative sign.
 Linear-systems/255664: what is a system equation and how do you solve?1 solutions Answer 187878 by richwmiller(9135)   on 2010-01-11 11:33:58 (Show Source): You can put this solution on YOUR website!system of equations means more than one equation with the same variables. There are three common ways of solving them. graphing substitution (find the value of one in terms of the other and substitute that for the one.) Sounds worse than it is. elimination (adding , multiplying them )
 Points-lines-and-rays/255663: Find the circumference of the circle whose radius is 9 centimeters. 1 solutions Answer 187876 by richwmiller(9135)   on 2010-01-11 11:31:19 (Show Source): You can put this solution on YOUR website!C=2*pi*r pi= abt 3.14 C=2*3.14*9
 Square-cubic-other-roots/255662: sqrt56a^10b^6c^22=1 solutions Answer 187875 by richwmiller(9135)   on 2010-01-11 11:30:13 (Show Source): You can put this solution on YOUR website!How much is in the sqrt? Just 56 or 56a or more? What do you want to do with this expression?
 Parallelograms/255640: If you have a parallelogram with two lines bisecting. with m+9.1 on one half of the bisector and 4k-3.5 on the other side. and on the other line there is 2.6k and m. How do you solve this without having to deal with 2 variables?1 solutions Answer 187873 by richwmiller(9135)   on 2010-01-11 11:27:22 (Show Source): You can put this solution on YOUR website!Let's look at what we know before we panic. Since the line bisects it creates two equal parts. m+9.1=4k-3.5 oh no we have one equation with two variables. Stay calm; we aren't finished yet. 2.6k=m Oh now we have two equations with two variables. So we can solve the two equations and find out where they intersect. Well, look at that m=2.6k We can substitute 2.6k for m in the first equation. 2.6k+9.1=4k-3.5 We now have one equation with one variable. Panic attack avoided. k=9 2.6k=m 2.6*(9)=m 23.4 = m We can check. 23.4+9.1=4(9)-3.5 32.5=32.5 ok
 Exponents/255642: How do you solve: (x^10*y^(-8))^-3 that is x to the exponent of 10; y to the exponent of -8; and all of it to the -31 solutions Answer 187868 by richwmiller(9135)   on 2010-01-11 11:00:35 (Show Source): You can put this solution on YOUR website!Very interesting problem. Easy solution. The important thing to remember is negative exponent means the reciprocal. = = = We have reciprocals of reciprocals in your problem. = so = = = Let's deal with the reciprocal now =
 Percentage-and-ratio-word-problems/250092: The will of an eccentric millionaire reads as follows: "I leave 4/17 of my estate to my son, 7/13 of the remainder to my wife, 2/3 of this remainder to my daughter, and the remaining \$2 million to my dog." What was the total amount of the estate?1 solutions Answer 187816 by richwmiller(9135)   on 2010-01-11 07:57:28 (Show Source): You can put this solution on YOUR website!w=a+b+c+2 000 000 a=4w/17 b=7/13*(17w/17-4w/17)=7/13*13w/17=7w/17 c=2/3(w-4w/17-7w/17)=2/3*(w-11w/17)=2/3*6w/17=4w/17 w=4w/17+7w/17+4w/17+2,000,000 w=15w/17+2 000 000 2w/17=2 000 000 2w=34 000 000 w=\$17,000,000
 Geometry_Word_Problems/255593: A certain right triangle has its area numerically equal to its perimeter. The length of each side is an even integer. What is the perimeter? (1) 26 (2) 28 (3) 30 (4) 32 (5) None of the above 1 solutions Answer 187813 by richwmiller(9135)   on 2010-01-11 07:25:59 (Show Source): You can put this solution on YOUR website!Area=1/2 bh p=b+h+c p=6+8+10=24 area=1/2*6*8=24 none of the above
 Linear-equations/255588: Find the slope, if it exists. -2x+y=8 If I'm using Slope Intercept Form (y=mx+b), m being slope, x being the variable you need to solve for, and b being the y intercept, is -2 the slope (m)?1 solutions Answer 187809 by richwmiller(9135)   on 2010-01-11 07:15:08 (Show Source): You can put this solution on YOUR website!-2x+y=8 add 2x to both sides y=2x+8 m=2 not -2