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Recent problems solved by 'richwmiller'

richwmiller answered: 9133 problems
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Equations/286080: What is the complete solution to the equation the absolute vale of 3-6x =2? 1 solutions Answer 207430 by richwmiller(9144)   on 2010-03-28 11:38:47 (Show Source): You can put this solution on YOUR website! Do you mean |3-6x|=2 or |3-6x|=|2| or 3-6x=|2| Use proper math symbols. | is above \

Rectangles/286079: How do I measure the area of a rectangle 400 inches squared? 1 solutions Answer 207429 by richwmiller(9144)   on 2010-03-28 11:36:35 (Show Source): You can put this solution on YOUR website! area=400 in^2 L*W=400 We can't know both length and width for sure. WE can find values that work. 20*20 is a square with area 400 10*40 is a rectangle with area 400 2*200 is a rectangle with area 400

Linear-systems/286048: 1 solutions Answer 207415 by richwmiller(9144)   on 2010-03-28 09:28:31 (Show Source): You can put this solution on YOUR website! This is not a system. and do not submit similar problems. State what you want! WE can't read your mind.

Age_Word_Problems/285999: Cathy has six pairs of black socks and six pairs of white socks in her drawer.In complete darkness, and without looking, how many socks must she take from the drawer in order to be sure to get a pair tha match? 1 solutions Answer 207413 by richwmiller(9144)   on 2010-03-28 09:24:09 (Show Source): You can put this solution on YOUR website! Well this is an interesting problem because Cathy has to turn on the lights eventually to find out if she actually has a pair of socks or not. 6 pair of white=12 white 6 pair black=12 black if she pulls one white then one black she doesn't have a pair. if she pulls one black and then one white she does not have a pair. but the next sock will make a pair either a black pair or white pair. But what good will it do her since she most likely has only two feet and will have three socks. So after she has the three socks she has to turn on the lights to see which two actually do match.

Number-Line/286042: 11, 10, 6, 15, 12 what is the mode and why 1 solutions Answer 207408 by richwmiller(9144)   on 2010-03-28 08:53:54 (Show Source): You can put this solution on YOUR website! They are all modes because they all occur once.

Geometry_Word_Problems/286030: A parallelogram and a triangle have equal areas. The base and height of the parallelogram are 12 and 9. If the base of the triangle is 36, find its height. A. 12 B. 9 C. 6 D. 3 E. None of these 1 solutions Answer 207407 by richwmiller(9144)   on 2010-03-28 08:50:08 (Show Source): You can put this solution on YOUR website! you need to know the formula for the area of a parallelogram and the formula for the area of a triangle. b*h=area parallelogram and 1/2 b*h=area of triangle 9*12=1/2*36*h 9*12=18*h 9*2*6=9*2*h 6=h C. 6

Graphs/286038: x-4y=-4 Graph the function 1 solutions Answer 207406 by richwmiller(9144)   on 2010-03-28 08:46:20 (Show Source): You can put this solution on YOUR website! Do not submit similar problems ! just find y when x=0 and x when y=0 and plot those two points

Triangles/286031: The measures of the angles of a triangle are (2x + 10)◦, (3x)◦, (8x − 25)◦. The triangle is A. Obtuse. B. Right. C. Acute. D. Equilateral. E. None of these. 1 solutions Answer 207405 by richwmiller(9144)   on 2010-03-28 08:44:30 (Show Source): You can put this solution on YOUR website! 2x+10+3x+8x-25=180 13x-15 13x=195 x=15 2x+10=40 3x=45 8x-25=120-25=95 A. Obtuse because one angle is more than 90 degrees.

Miscellaneous_Word_Problems/286039: a designer at royal jewlers wants to create a 10- ounce necklace that will be made of gold and silver. the necklace will have a total value of $206.50 A)write and equation the represents the total weight of the 10- ounce necklace if it contains g ounces of gold and S ounces of silver. B) given that the value of gold is $318 per ounce and the value of silver is $5 per ounce Write an equation in terms of G and S that represents the total value of the 10 ounce necklace. C)the two equations from parts A and B form a system Solve the System of equations for G and S. D) What will be the value, in dollars, of the gold in the 10 ounce necklace? Explain how you get your answer. 1 solutions Answer 207404 by richwmiller(9144)   on 2010-03-28 08:34:21 (Show Source): You can put this solution on YOUR website! g+s=10 318g+5s=206.50 g=.5 oz. and s=9.5 oz. 318/2=$159 for the gold 5*9.5=$47.50 for the silver

test/285970: The sign says you are leaving Missoula, Butte is 120 mi away, and Bozeman is 200 mi away. There is a rest stop halfway between Butte and Bozeman. How far is the rest stop from Missoula? 1 solutions Answer 207383 by richwmiller(9144)   on 2010-03-27 21:51:35 (Show Source): You can put this solution on YOUR website! Missoula --120-- Butte - rest-160- stop ---200--- Bozeman 200-120=80 80/2=40 120+40=160 miles from Missoula

Expressions-with-variables/285979: Find the y and x intercept for 4x^2 + 12x + 9 1 solutions Answer 207382 by richwmiller(9144)   on 2010-03-27 21:47:34 (Show Source): You can put this solution on YOUR website! This is an expression not an equation and has no y

test/285975: John wants to fence a 150 square meters rectangular field. He wants the length and width to be natural numbers {1,2,3,...}. What field dimensions will require the least amount of fencing? 1 solutions Answer 207381 by richwmiller(9144)   on 2010-03-27 21:43:43 (Show Source): You can put this solution on YOUR website! least perimeter 10*15=150 2*(25)=50 perimeter

Linear-systems/285973: y+4x=10 6x-y=20 1 solutions Answer 207378 by richwmiller(9144)   on 2010-03-27 21:28:09 (Show Source): You can put this solution on YOUR website! solve each for y and set them equal y=10-4x 6x-20=y 10-4x=6x-20 30=10x 3=x 6*3-y=20 18-y=20 -y=2 y=-2 (3,-2)

test/285977: Your great uncle gave you $2 on your first birthday, $4 on your 2nd birthday, $8 on your 3rd birthday, and so on. (a) How much money will you receive on your 18th birthday? (b) How much money will you receive on your nth birthday and explain how to use your equation to find how much money you will receive on any given birthday? 1 solutions Answer 207376 by richwmiller(9144)   on 2010-03-27 21:24:55 (Show Source): You can put this solution on YOUR website! b-2^x=birthday money a-2^18= 18th birthday gift $262,144 I'll take it.

Rate-of-work-word-problems/285929: Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank? 1 solutions Answer 207374 by richwmiller(9144)   on 2010-03-27 21:21:06 (Show Source): You can put this solution on YOUR website! x/45-x/30=1 We start with the tank full and are filling it and draining it. x=-90 means it takes 90 minutes to drain it in 90 minutes We start with a full tank. It is filled 2 more times and drained 3 times

Finance/285941: how many ounces of a 40% alcohol solution must be mixed with 5 ounces of a 45% alcohol solution to make a 41% alcohol solution? 1 solutions Answer 207372 by richwmiller(9144)   on 2010-03-27 21:12:24 (Show Source): You can put this solution on YOUR website! just have a shot of either and you won't care and it won't matter!

Travel_Word_Problems/285923: Kepler’s third law of planetary motion may be given as T=kr^3/2 where T is the time for one revolution of a planet around the sun, r is its mean radius from the sun, and k=1.115 (10)^-12 year/mi. Find the time for one revolution of Venus about the sun if r=6.73(10)^7 miles. 1 solutions Answer 207366 by richwmiller(9144)   on 2010-03-27 20:57:07 (Show Source): You can put this solution on YOUR website! What is the problem? Just plug in the values and solve.

Triangles/285922: how can i find the measure of angle L if all im given is that one side equals 13 and the other is equal to 5 p.s there's also a 90 degree angle 1 solutions Answer 207364 by richwmiller(9144)   on 2010-03-27 20:54:36 (Show Source): You can put this solution on YOUR website! 5 x and 13 is a classic 5,12,13 right triangle. but we aren't told where the right angle is the legs might be 5 and 13. we aren't told where angle L is either. So there isn't enough info to pin it down though I am betting on 5,12,13 Since there is right angles we can pin it down to a few sides. 5^2+13^2=h^2 25+169=h^2 194=h^2 h=sqrt(194)=abt 13.9 so we could use sin cos and tan to find angle L if we knew where it was.

Numeric_Fractions/285927: z/6-5/12=1 1 solutions Answer 207362 by richwmiller(9144)   on 2010-03-27 20:45:57 (Show Source): You can put this solution on YOUR website! z/6-5/12=1 z/6=1 5/12 z/6=17/12 z=6*17/12 z=17/2 z=8.5

Miscellaneous_Word_Problems/285964: Alocal hamburger shop sold a combined total of 807 hamburgers and cheeseburgers on Saturday. there were 57 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday? 1 solutions Answer 207361 by richwmiller(9144)   on 2010-03-27 20:40:31 (Show Source): You can put this solution on YOUR website! c=57+h c+h=507 c=282 h=225

Polynomials-and-rational-expressions/285968: I am still very confused on how to simplify rational expressions: This is the problem I am working on x-4 ---------- x^2-3x-4 1 solutions Answer 207359 by richwmiller(9144)   on 2010-03-27 20:37:49 (Show Source): You can put this solution on YOUR website! The best way to write this for us is (x-4)/(x^2-3x-4) This way clarifies for us exactly what is the numerator and what is the denominator To make it look nice surround it by 3 { and 3} My guess just looking at it would be that x-4 might be a factor of (x^2-3x-4) so we are looking for factors of -4 which add up to -3, -4 and 1 work (x-4)*(x+1)= (x^2-3x-4) (x-4)/(x^2-3x-4) = (x-4)/x-4)*(x+1)= 1/x+1

Polynomials-and-rational-expressions/285958: I do not get how to Simplify the rational expression. This is the problem I am working on: x+4/x^2+2x-8 The answers must be A. 1/x-2, B. 4/x+2, C. x-2 or D. x/x-2 I am pretty sure it can't be D but other than that I am lost on how to simplify the expression. 1 solutions Answer 207351 by richwmiller(9144)   on 2010-03-27 19:59:52 (Show Source): You can put this solution on YOUR website! You need to either divide (x-2) or (x+4) into x^2+2x-8 or factor x^2+2x-8 we are looking for factors of -8 which add up +2 4 -2 fit the bill (x+4)/(x^2+2x-8)=(x+4)/(x+4)(x-2)=1/(x-2)

Quadratic_Equations/285935: given 3dx^2 - (2d-3)x - (5d+2) =0 find the value of d if one of the roots is 3/2 1 solutions Answer 207350 by richwmiller(9144)   on 2010-03-27 19:50:44 (Show Source): You can put this solution on YOUR website! plug in 3/2 for x and solve for d d=2

Miscellaneous_Word_Problems/285956: Big plane. A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed? 1 solutions Answer 207347 by richwmiller(9144)   on 2010-03-27 19:45:04 (Show Source): You can put this solution on YOUR website! (180+w)*t=7 (180-w)*t=5 t=7/(180+w) t=5/(180-w) 7/(180+w)=5/(180-w) w=30

Quadratic_Equations/285937: Find the quadratic equation with roots which are the squares of the roots of x^2 -5x -3 =0 1 solutions Answer 207344 by richwmiller(9144)   on 2010-03-27 19:37:51 (Show Source): You can put this solution on YOUR website! x^2 -5x -3 =0 x^2 -5x =3 (5/2)^2=25/4 3=12/4 x^2-5x+25/4=3+25/4 (x-5/2)^2=37/4 x=5/2-sqrt(37/4) x=5/2+sqrt(37/4) c=1/2(5-sqrt(37)) d=1/2(5+sqrt(37)) 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 : . Discriminant d=37 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 5.54138126514911, -0.54138126514911. Here's your graph: let's call the roots c and d so the new equation will have x^2 and y^2 as there roots (a-c^2)*(b-d^2)=0 ab-bc^2-ad^2+c^2d^2=0 plug these in . c=1/2(5-sqrt(37)) d=1/2(5+sqrt(37))

Average/285947: What is the average of 54, 75, 73, 95, 234, 356, 762, 634, and 4275? 1 solutions Answer 207341 by richwmiller(9144)   on 2010-03-27 19:11:36 (Show Source): You can put this solution on YOUR website! How many items are there? let's call it x add up the x items . what is the sum? let's call it y average =y/x

Graphs/285945: CAN YOU GRAPH THE SOLUTION SET OF X + 2Y IS LESS GREATOR THAN BUT NOT EQAL TO 3 X + 2Y IS LESS GREATOR THAN BUT NOT EQUAL TO 4 ? 1 solutions Answer 207340 by richwmiller(9144)   on 2010-03-27 19:09:47 (Show Source): You can put this solution on YOUR website! Stop shouting and use spell checker. Also use math symbols such as >= and <=

percentage/285944: joanna's parents loans her 5,000 for 5 years at 5% simple interest. how much will joanna pay in interest to her parents? 1 solutions Answer 207339 by richwmiller(9144)   on 2010-03-27 19:08:15 (Show Source): You can put this solution on YOUR website! That's funny. she won't be paying any interest and won't be paying back the $5000 either. Don't do business with relatives.

Graphs/285925: hope someone can help. this is the problem. Find equation for each of the following items. A circle with a radius of 4 and a midpoint at(2,2) i am confused about how to do that. all i know is x^2+y^2=r^2 1 solutions Answer 207333 by richwmiller(9144)   on 2010-03-27 17:02:11 (Show Source): You can put this solution on YOUR website! find another equation for a circle involving h and k

Travel_Word_Problems/285920: A jet takes the same time to travel 2500 km with the wind as it does to travel 1900 km against the wind. If its speed relative to the air is 450 km/hr, what is the speed of the wind? 1 solutions Answer 207332 by richwmiller(9144)   on 2010-03-27 17:00:51 (Show Source): You can put this solution on YOUR website! At least you found the right category! Did you look for similar problems or a lesson? what letters should we use for jet and wind? (j+w)*t=2500 (j-w)*t=1900 Knock yourself out. j=450 we could solve both equations for t and set them equal. (j+w)*t=2500 (j-w)*t=1900 t=2500/(450+w) t=1900/(450-w) 2500/(450+w)=1900/(450-w) w=675/11= abt 61.36

Finance/285894: One number is 3 less than a second number. Twice the second number is 9 less than 5 times the first. Find the smaller of the two numbers. 1 solutions Answer 207330 by richwmiller(9144)   on 2010-03-27 16:52:21 (Show Source): You can put this solution on YOUR website! You tried so hard that you put this problem under finance. I am so impressed that I will do all of your homework for the next 20 years.