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Geometry_Word_Problems/608333: The diagonal of a square has the length 8√2 ft. Find the length of a side of the square. How do i get the answer to this statement. 1 solutions Answer 383147 by solver91311(16897)   on 2012-05-07 20:14:33 (Show Source): You can put this solution on YOUR website! The diagonals of a square with side measure measure John My calculator said it, I believe it, that settles it

Sequences-and-series/608335: Hi my question is: How are the angles 38 and 52 geometrically related? 1 solutions Answer 383146 by solver91311(16897)   on 2012-05-07 20:12:19 (Show Source): You can put this solution on YOUR website! If the sum is 90, the angles are complementary. If the sum is 180, they are supplementary. John My calculator said it, I believe it, that settles it

Square-cubic-other-roots/608320: 1 solutions Answer 383142 by solver91311(16897)   on 2012-05-07 20:06:14 (Show Source): You can put this solution on YOUR website! Add 9 to both sides. Square both sides. Add -5 to both sides. John My calculator said it, I believe it, that settles it

Miscellaneous_Word_Problems/608260: Mr.Algebra baked a cake for the Midwest Mathematics Convention. He designed the cake in the shape of a big cube. As he was carrying the cake over to frost it, he dropped it in the vat of frosting. Amazingly, athe cake stayed in one piece, but all 6 sides were frosted. One mathematic suggested the cake be cut into cube shaped pieces, all the same size. That way, some people could have a piece with no frosting, 1 side frosted, 2 sides frosted, or 3 sides frosted. Another mathematician suggested, "Cut the cake so that the number of pieces with no frosting is eight times more than the number of pieces with 3 sides frosted. Then you will have the exact number of pieces of cake as there are mathemeticians in this room." Find out how many mathematicians were at the convention. 1 solutions Answer 383130 by solver91311(16897)   on 2012-05-07 19:07:48 (Show Source): You can put this solution on YOUR website! There are 8 corners on the cube, hence 8 pieces of cake with 3 sides frosted. That means 64 pieces with no frosting, forming an inner cube that is 4 X 4 X 4. Hence the outer cube, the one with all the frosting, is 6 X 6 X 6. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/608263: What is the perimeter of a quilt that is 8 feet long with an area of 64 square feet? 1 solutions Answer 383126 by solver91311(16897)   on 2012-05-07 19:02:13 (Show Source): You can put this solution on YOUR website! Divide the area by the length to get the width. Add the length to the width and multiply by 2 to get the perimeter. John My calculator said it, I believe it, that settles it

Linear-systems/608284: Find the x-intercept and y-intercept of 7x+2y=13 1 solutions Answer 383124 by solver91311(16897)   on 2012-05-07 18:58:05 (Show Source): You can put this solution on YOUR website! Substitute 0 for then calculate the value of that results. Say that value is , then the -intercept is the point Substitute 0 for then calculate the value of that results. Say that value is , then the -intercept is the point The values and will be ugly mixed number fractions in this problem. John My calculator said it, I believe it, that settles it

Rate-of-work-word-problems/608262: Working alone, it takes Paul ten hours to dig a 10 ft by 10 ft hole. Matt can dig the same hole in five hours. If they worked together, how long would it take? 1 solutions Answer 383121 by solver91311(16897)   on 2012-05-07 18:53:36 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. John My calculator said it, I believe it, that settles it

Probability-and-statistics/608271: A sample of six people in the neighborhood have taken up a collection of money, find the mean, median and mode of the sample. $500 $450 $325 $500 $250 $675 1 solutions Answer 383119 by solver91311(16897)   on 2012-05-07 18:49:48 (Show Source): You can put this solution on YOUR website! Add up all of the numbers, then divide by the number of numbers. That's the mean. Put the numbers in numerical order. Since there are an even number of numbers, the median is the averge of the two closest to the middle. Look at the list of numbers in order, the one that occurs most frequently is the mode. John My calculator said it, I believe it, that settles it

Trigonometry-basics/608278: Prove the following identity: 1 solutions Answer 383116 by solver91311(16897)   on 2012-05-07 18:47:00 (Show Source): You can put this solution on YOUR website! Do you mean: or John My calculator said it, I believe it, that settles it

Surface-area/608228: A sphere fits snuggly inside a cube with 6 in edges. A) What is the radius of the sphere. B) What is the volume of the space between the sphere and cube (to the nearest tenth) 1 solutions Answer 383113 by solver91311(16897)   on 2012-05-07 18:42:08 (Show Source): You can put this solution on YOUR website! Radius of the sphere is one-half of the edge of the cube. The volume of the cube is The volume of the sphere is The volume of the space is the volume of the cube minus the volume of the sphere. You can do your own arithmetic. John My calculator said it, I believe it, that settles it

Mixture_Word_Problems/608218: mary is using a 2oz cup to fill a 1gallon thermmos with milk how many times will mary need to fill the cup show me the work 1 solutions Answer 383107 by solver91311(16897)   on 2012-05-07 17:50:11 (Show Source): You can put this solution on YOUR website! Look up the number of ounces in a gallon. Divide by 2. Look up the word "please." Add it to your vocabulary. John My calculator said it, I believe it, that settles it

Equations/608224: what is p. -10p+8=7p+12 1 solutions Answer 383106 by solver91311(16897)   on 2012-05-07 17:47:48 (Show Source): You can put this solution on YOUR website! It is a variable representing a real number. John My calculator said it, I believe it, that settles it

Square-cubic-other-roots/608203: which two positive consecutive integers have a product of 506? show all work please and thank :) 1 solutions Answer 383105 by solver91311(16897)   on 2012-05-07 17:45:50 (Show Source): You can put this solution on YOUR website! Let represent the first of two consecutive integers, then represents the next consecutive integer. Solve for , discard any negative root, then calculate . Note that the coefficient on is very small compared to the constant term. Look for roots near the square root of the constant term. John My calculator said it, I believe it, that settles it

Sequences-and-series/608185: The given series has 6 terms. What is the sum of the terms of the series? 17+25+33+...+57 1 solutions Answer 383098 by solver91311(16897)   on 2012-05-07 16:58:42 (Show Source): You can put this solution on YOUR website! Add the first term to the last, multiply that sum by the number of terms, divide by 2. John My calculator said it, I believe it, that settles it

Radicals/608178: What is the final solution for: (3-sqrt(-7))+(5+sqrt(-2)) I know you have to put it in proper complex form and then add the real part coefficients and the imaginary part coefficients, but I'm confused as to how they add up and would like to check my answer. 1 solutions Answer 383091 by solver91311(16897)   on 2012-05-07 16:37:57 (Show Source): You can put this solution on YOUR website! You give us your answer, we'll tell you whether it is right or not. John My calculator said it, I believe it, that settles it

Travel_Word_Problems/608087: A surveyor has poles A, B, and C set to form a right triangle with the right angle at B. If the distance from A to B is 35 meters and the distance from B to C is 25 meters, what is the distance from A to C? He can't measure it because there is a deep pond between points A and C. 1 solutions Answer 383087 by solver91311(16897)   on 2012-05-07 16:31:15 (Show Source): You can put this solution on YOUR website! Use Pythagoras. Do the arithmetic and round off appropriately. You didn't say if a particular precision was specified. In the absence of a precision specification, the correct way to to it is to round to the nearest whole meter because your input measurements were given to the whole meter. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/608176: How do you factor the greatest common monomial factor? 1 solutions Answer 383085 by solver91311(16897)   on 2012-05-07 16:25:14 (Show Source): You can put this solution on YOUR website! Very carefully. Post a specific problem and show the work you have done like the instructions say to do. John My calculator said it, I believe it, that settles it

Rectangles/608159: how or what do I do to make 7 inch semicircle at end of 7inch heigth x 11 inch width rectangle 1 solutions Answer 383084 by solver91311(16897)   on 2012-05-07 16:24:13 (Show Source): You can put this solution on YOUR website! Presuming you want your semi-circle on the skinny end, create a perpendicular bisector of one of the 7" ends of the rectangle. Set the point of your compass at the point of intersection of the bisector and the side of the rectangle and put the pencil end on one of the near vertices of the rectangle. Draw your semi-circle. John My calculator said it, I believe it, that settles it

Radicals/608162: How do I add these complex numbers? (3-sqrt(-7))+(5+sqrt(-2)) 1 solutions Answer 383083 by solver91311(16897)   on 2012-05-07 16:18:23 (Show Source): You can put this solution on YOUR website! First put them in proper complex number form: Then add the real part coefficients and the imaginary part coefficients. You have to leave like it is. John My calculator said it, I believe it, that settles it

Quadratic_Equations/608165: The length and width of a rectangle must have a sum of 116 feet. find the dimensions of the rectangle whose area is as large as possible. answer should include length in feet and width in feet. 1 solutions Answer 383078 by solver91311(16897)   on 2012-05-07 16:12:15 (Show Source): You can put this solution on YOUR website! The perimeter of a rectangle is given by: Which can be rearranged to: The area, given by length times width, can then be represented as a function of the width for a given perimeter thus: This function is a quadratic that can be put into standard form thus: The graph of such a quadratic is a parabola that is concave down (the lead coefficient is less than zero), meaning that the vertex represents a maximum. The coordinate of the vertex of this parabola is given by: Therefore the width that gives the greatest area rectangle for any given perimeter is the perimeter divided by 4. The two widths are therefore half of the perimeter, hence the two lengths must also be half of the perimeter, and therefore the shape is a square. Divide your given perimeter by 4 and then square the result. John My calculator said it, I believe it, that settles it

Square-cubic-other-roots/608172: i really dont get square root 1 solutions Answer 383076 by solver91311(16897)   on 2012-05-07 16:09:45 (Show Source): You can put this solution on YOUR website! Thank you for sharing. If you want help, post a particular problem and show the work you have done so far -- just like the instructions say. John My calculator said it, I believe it, that settles it

Permutations/608170: How many different combinations of four flowers can you make from six different flowers? You decide to put the pictures of six friends in a row on a bulletin board. In how many ways can you arrange the pictures? Two of the four schools will perform the opening cheers. How many combinations of two schools are possible? 1 solutions Answer 383075 by solver91311(16897)   on 2012-05-07 16:07:54 (Show Source): You can put this solution on YOUR website! You want Where is the number of combinations of things taken at a time and is calculated by Just do the arithmetic. John My calculator said it, I believe it, that settles it

Quadratic_Equations/608152: an arrow is fired into the air with an initial velocity of 160 feet per second. The height in feet of the arrow t seconds after it was shot into the air is given by the function h(t)= -16t^2+160t. find the maximum height of the arrow. 1 solutions Answer 383073 by solver91311(16897)   on 2012-05-07 16:01:37 (Show Source): You can put this solution on YOUR website! Well, not exactly. Your height function ignores the initial height of the tip of the arrow at the time of release. This value is other than zero unless the archer is standing in a hole of sufficient depth such that the tip of the arrow is exactly at ground level at the time it is released. Where is the initial height. We'll just accept the "archer in a hole" scenario for the time being and assume that . The graph of your function is a parabola. Because of the negative lead coefficient, the parabola opens downward, meaning that the vertex is a maximum value of the function. The coordinate of the vertex of a parabola described by the function such as this one is given by: Calculate Once you have a value for the coordinate of the vertex, calculate to get the value of the function at the vertex, i.e. the maximum value of the height function. If you decide later that is actually something other than zero, you can just add it on at the end. John My calculator said it, I believe it, that settles it

test/608147: Carla is five years older than her sister Julie. The product of their ages is 234. How old is Julie? 1 solutions Answer 383070 by solver91311(16897)   on 2012-05-07 15:47:38 (Show Source): You can put this solution on YOUR website! Let represent Julie's age. Then must represent Carla's age. Distribute and then add -234 to both sides. Solve the resulting quadratic. Note: Since 5 is small compared to the constant term, look for factors near the square root of 234. John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/608146: A one pound box of chocalates was filled with candy that each weighted one ounce.How many pieces of candy were in the box? 1 solutions Answer 383066 by solver91311(16897)   on 2012-05-07 15:41:21 (Show Source): You can put this solution on YOUR website! Same as the number of ounces in a pound. John My calculator said it, I believe it, that settles it

Quadratic-relations-and-conic-sections/608148: Solve the system using substitution. Y=-3x^2+x-2, Y=-5x+3 1 solutions Answer 383065 by solver91311(16897)   on 2012-05-07 15:39:42 (Show Source): You can put this solution on YOUR website! You have two equations where is equal to two different things. Just set the two right-hand sides equal to each other and solve the resulting quadratic for . Using the values you get for , you can calculate the two values for . Note: Roots will be complex. John My calculator said it, I believe it, that settles it

Age_Word_Problems/608138: STACEY MOTHER IS SEVEN TIMES OLDER THAN HER IN 20 YEARS STACEY WILL BE HALF THE AGE HER MOTHER IS NOW HOW OLD IS STACEY 1 solutions Answer 383064 by solver91311(16897)   on 2012-05-07 15:34:34 (Show Source): You can put this solution on YOUR website! All caps is shouting. It is both rude and annoying. Equally annoying is your complete lack of punctuation. Your post is simply too difficult to decipher. Learn how to write properly and then re-post your question. John My calculator said it, I believe it, that settles it

Linear-systems/607587: Please solve. 3x = y + 5 x + 2y = 4 My answer is y=1, x=2 (apparently I solve differently than my son's teacher) 1 solutions Answer 382794 by solver91311(16897)   on 2012-05-06 13:27:11 (Show Source): You can put this solution on YOUR website! Can't say what the teacher is doing wrong, if anything. and is correct, and given error free arithmetic should be the result of any solution method: Substitution, Elimination, Gauss-Jordan Row Reduction, and/or Cramer's Rule. Which is the case; I checked. The problem could be that the teacher has specified a way of presenting the solution. I.e. s/he may want the answer in ordered pair form or perhaps even in solution set form: Ordered pair: Solution set Then again, it wouldn't be the first time that a teacher, textbook, and/or answer key was wrong. Won't be the last time either. John My calculator said it, I believe it, that settles it

Coordinate-system/607327: Long one, I'm sorry.. just having a bit of trouble with the regression line: A farmer wants to find out the relationship between the amount of rain in march and the Crop yield in June. Statistics for a few years is shown in the following table: March rainfall in inches (X): 3,7,2,6,5 Crop Yield in bushels per acre (Y): 5,12,4,10,6 Set the scatter diagram for the data. Does it appear to be positive linear correlation, negative linear correlation or no linear correlation? Find the equation of the regression line (IMPORTANT) Note: I did the scatter diagram, and it appears to be positive linear correlation, so that's not necessarily the issue. I got Y=1.6x+0.02 for the regression line, and I don't know if that is correct. Any help would be greatly appreciated! 1 solutions Answer 382615 by solver91311(16897)   on 2012-05-05 12:15:14 (Show Source): You can put this solution on YOUR website! You are off a decimal place on your intercept. has an , not too bad. On the other hand has an and where is very close to 1. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/607333: Write all of the following statement(s) that apply to the following polynomial: -5x^3 + 2x^2 – 7: a) it is a binomial b)it can not be evaluated at x=-1/3 c) it has a degree of 3 d) it is cubic 1 solutions Answer 382609 by solver91311(16897)   on 2012-05-05 11:42:46 (Show Source): You can put this solution on YOUR website! This is a trinomial and the domain is all real numbers. Degree 3 and cubic mean the same thing. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/607334: Bob’s Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 8x^3 – x^2 – 2x + 4. The shop estimates their costs for that quarter to be given by x^2 – 4x + 7. For the second quarter, find and simplify a polynomial that will represent their profit. Note: Profit = Revenue - Costs. please show work for better understanding. thanks! 1 solutions Answer 382608 by solver91311(16897)   on 2012-05-05 11:40:12 (Show Source): You can put this solution on YOUR website! This makes the third time I've answered this one. Subtract the cost polynomial from the revenue polynomial collecting like terms in the process. You asked a word problem question. In the absence of any other information, I assume when asked a word problem question involving a certain algebra technique that you have learned and understand the underlying algebra but that you are having difficulty translating the problem into expressions and/or equations that you have learned to manipulate. If your problem was that you do not understand how to complete the process of subtracting one polynomial from the other, THEN WHY DIDN'T YOU SAY SO IN THE FIRST PLACE? John My calculator said it, I believe it, that settles it