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jim_thompson5910 answered: 28465 problems
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Volume/549151: What is the volume of a box whose length is 12 – 2x, width is 7 – 2x and height is x 1 solutions Answer 358326 by jim_thompson5910(28476)   on 2011-12-23 18:31:34 (Show Source): You can put this solution on YOUR website! Volume is

Triangles/550019: i got your message but the answer wasn't there. my question was: what is the base angle of an isosceles triangles when the vertex is 20 degrees 1 solutions Answer 358322 by jim_thompson5910(28476)   on 2011-12-23 17:25:35 (Show Source): You can put this solution on YOUR website! If the vertex angle is 20 degrees, then the base angles are degrees each. So the answer is 80 degrees.

Volume/550018: A pyramid has a square base with an area of 100 square inches. Each of its triangular faces has a height of 10 inches. What is the surface area of the pyramid? 1 solutions Answer 358321 by jim_thompson5910(28476)   on 2011-12-23 17:19:50 (Show Source): You can put this solution on YOUR website! Since the area of the base is 100 sq in. this means that the side length of the base is inches. So the area of each triangular face is square inches. So Surface Area of Pyramid = Area of base + 4*Area of Triangular Face Surface Area of Pyramid = 100 + 4*50 Surface Area of Pyramid = 100 + 200 Surface Area of Pyramid = 300 square inches

Quadratic_Equations/549192: write the quadratic function in vertex form: y=2x^2+11x+8 1 solutions Answer 358314 by jim_thompson5910(28476)   on 2011-12-23 16:38:31 (Show Source): You can put this solution on YOUR website! Start with the given expression. Factor out the coefficient . This step is very important: the coefficient must be equal to 1. Take half of the coefficient to get . In other words, . Now square to get . In other words, Now add and subtract inside the parenthesis. Make sure to place this after the "x" term. Notice how . So the expression is not changed. Group the first three terms. Factor to get . Combine like terms. Distribute. Multiply. So after completing the square, transforms to . So . So is equivalent to which is the answer in vertex form.

Rational-functions/549152: x^2-8x+27=0 (2x^3)^3 / 5 x 18x^-2 / 2x^3 1 solutions Answer 358311 by jim_thompson5910(28476)   on 2011-12-23 16:27:46 (Show Source): You can put this solution on YOUR website! I'll do the first one to get you started. # 1 Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Subtract from to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) Break up the fraction. Reduce. or Break up the expression. So the solutions are or

test/548465: Solve the equation: -x^2+4=2x^2-5 1 solutions Answer 358310 by jim_thompson5910(28476)   on 2011-12-23 16:25:32 (Show Source): You can put this solution on YOUR website! Start with the given equation. Get every term to the left side. Combine like terms. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . Simplify the square root (note: If you need help with simplifying square roots, check out this solver) Break up the fraction. Reduce. or Break up the expression. So the solutions are or

Inequalities/544251: 5-3n>-4 1 solutions Answer 358309 by jim_thompson5910(28476)   on 2011-12-23 16:20:24 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Inequalities/547384: -3x + 3 < 6 1 solutions Answer 358308 by jim_thompson5910(28476)   on 2011-12-23 16:19:39 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Inequalities/549989: determine whether the given numbers are solutions of the inequality. 4,-10,-15,-2 y-9 >2y-4 1 solutions Answer 358307 by jim_thompson5910(28476)   on 2011-12-23 16:19:01 (Show Source): You can put this solution on YOUR website! y-9 >2y-4 4-9 >2(4)-4 -5 > 4 ... FALSE ------------------------------------------------------- y-9 >2y-4 -10-9 >2(-10)-4 -19 > -24 ... TRUE ------------------------------------------------------- y-9 >2y-4 -15-9 >2(-15)-4 -24 > -34 ... TRUE ------------------------------------------------------- y-9 >2y-4 -2-9 >2(-2)-4 -11 > -8 ... FALSE ======================================================= So the solutions are -10 and -15

test/549525: 2a+3b/2a-3b 1 solutions Answer 358306 by jim_thompson5910(28476)   on 2011-12-23 16:15:00 (Show Source): You can put this solution on YOUR website! There isn't much we can do except point out that to avoid a division by zero error.

test/549608: 1 solutions Answer 358305 by jim_thompson5910(28476)   on 2011-12-23 16:13:57 (Show Source): You can put this solution on YOUR website! Please post the full problem and the complete instructions. Thank you.

test/549994: what are samilar matrises? 1 solutions Answer 358304 by jim_thompson5910(28476)   on 2011-12-23 16:13:38 (Show Source): You can put this solution on YOUR website! See this page to learn more about similar matrices.

test/549753: 1 solutions Answer 358303 by jim_thompson5910(28476)   on 2011-12-23 16:12:47 (Show Source): You can put this solution on YOUR website! Please post the full problem and the complete instructions. Thank you.

test/549752: 1 solutions Answer 358302 by jim_thompson5910(28476)   on 2011-12-23 16:12:38 (Show Source): You can put this solution on YOUR website! Please post the full problem and the complete instructions. Thank you.

Triangles/550014: what is the base angle of an isosceles triangle if the vertex is 20 degrees? 1 solutions Answer 358300 by jim_thompson5910(28476)   on 2011-12-23 16:08:46 (Show Source): You can put this solution on YOUR website! If the vertex angle is 20 degrees, then the base angles are degrees each

test/550012: An animal shelter has five times as many cats as dogs. Find the total number of cats if the total number of cats and dogs is 48. A. 5 cats B. 8 cats C. 13 cats D. 40 cats 1 solutions Answer 358299 by jim_thompson5910(28476)   on 2011-12-23 16:01:02 (Show Source): You can put this solution on YOUR website! c+d=48 c=5d c+d=48 5d+d=48 6d = 48 d = 48/6 d = 8 c = 5d c = 5(8) c = 40 So there are 40 cats

Geometry_Word_Problems/550002: a square table has an area of 580 square inches what is the length of one side of the table to the nearest tenth of an inch 1 solutions Answer 358281 by jim_thompson5910(28476)   on 2011-12-23 13:04:24 (Show Source): You can put this solution on YOUR website! Side length is which rounds to 24.1 inches.

Inequalities/549992: write the set {x|x>-4} in interval notation 1 solutions Answer 358280 by jim_thompson5910(28476)   on 2011-12-23 13:03:39 (Show Source): You can put this solution on YOUR website! {x|x>-4} in interval notation is

Inequalities/549993: write interval notation for the set {x|-2>x>-9} 1 solutions Answer 358279 by jim_thompson5910(28476)   on 2011-12-23 13:03:04 (Show Source): You can put this solution on YOUR website! {x|-2>x>-9} {x|-9 < x < -2} (-9, -2) So the answer in interval notation is (-9, -2)

Parallelograms/549946: Find an equation in slope-intercept form passing through the points (2,5) and (7,-3). 1 solutions Answer 358229 by jim_thompson5910(28476)   on 2011-12-23 01:12:54 (Show Source): You can put this solution on YOUR website! First let's find the slope of the line through the points and Note: is the first point . So this means that and . Also, is the second point . So this means that and . Start with the slope formula. Plug in , , , and Subtract from to get Subtract from to get So the slope of the line that goes through the points and is Now let's use the point slope formula: Start with the point slope formula Plug in , , and Distribute Multiply Add 5 to both sides. Combine like terms. note: If you need help with fractions, check out this solver. So the equation that goes through the points and is

Linear-systems/549940: how do you graph an linear equation ? 1 solutions Answer 358213 by jim_thompson5910(28476)   on 2011-12-22 22:34:08 (Show Source): You can put this solution on YOUR website! Simply plot two points and draw a line that goes through them to graph the linear equation. Let's graph as an example Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is 2 and the run is 1. This means that to go from point to point, we can go up 2 and over 1 So starting at , go up 2 units and to the right 1 unit to get to the next point Now draw a line through these points to graph So this is the graph of through the points and

Polynomials-and-rational-expressions/549937: simplify 9x^3+x-2(8x^3-7x) evaluate -9 divided by 3x-x^2+7 for x = -5 -21/50 divided by 4/9 perform the indicated operation and simplify 1 solutions Answer 358212 by jim_thompson5910(28476)   on 2011-12-22 22:30:07 (Show Source): You can put this solution on YOUR website! I'll do the first one to get you started 9x^3+x-2(8x^3-7x) 9x^3+x-2(8x^3)-2(-7x) 9x^3+x-16x^3+14x -7x^3+15x So 9x^3+x-2(8x^3-7x) = -7x^3+15x

Quadratic_Equations/549931: X^2-13x-12=0 what is x? 1 solutions Answer 358208 by jim_thompson5910(28476)   on 2011-12-22 22:08:23 (Show Source): You can put this solution on YOUR website! Start with the given equation. Notice that the quadratic is in the form of where , , and Let's use the quadratic formula to solve for "x": Start with the quadratic formula Plug in , , and Negate to get . Square to get . Multiply to get Rewrite as Add to to get Multiply and to get . or Break up the expression. So the solutions are or

Expressions-with-variables/549925: 1 ____ x-7 1 solutions Answer 358190 by jim_thompson5910(28476)   on 2011-12-22 20:26:47 (Show Source): You can put this solution on YOUR website! This expression is a rational expression which is undefined when x = 7 since this makes the denominator equal to zero.

Inverses/549890: 35-12x=-104 1 solutions Answer 358159 by jim_thompson5910(28476)   on 2011-12-22 17:37:12 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is

Equations/549886: what does 0 stand for in the number 9,046 1 solutions Answer 358157 by jim_thompson5910(28476)   on 2011-12-22 17:26:14 (Show Source): You can put this solution on YOUR website! 0 is in the hundreds place and it stands for 0 hundred since 9046 = 9000 + 000 + 40 + 6

test/549877: Simplify (a^2b^3)^4 1 solutions Answer 358148 by jim_thompson5910(28476)   on 2011-12-22 16:26:44 (Show Source): You can put this solution on YOUR website! (a^2b^3)^4 (a^2)^4*(b^3)^4 a^(2*4)*b^(3*4) a^8*b^12 So (a^2b^3)^4 = a^8*b^12

Probability-and-statistics/549866: A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully. 1 solutions Answer 358145 by jim_thompson5910(28476)   on 2011-12-22 16:03:36 (Show Source): You can put this solution on YOUR website! This question has been answered before at the following links: http://www.algebra.com/algebra/homework/NumericFractions/Numeric_Fractions.faq.question.121858.html http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.146423.html http://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.130159.html

Rational-functions/549853: -2>2x-4>4 1 solutions Answer 358143 by jim_thompson5910(28476)   on 2011-12-22 15:28:59 (Show Source): You can put this solution on YOUR website! -2 > 2x-4 > 4 -2+4 > 2x-4+4 > 4+4 2 > 2x > 8 2/2 > 2x/2 > 8/2 1 > x > 4 4 < x < 1 Since no number is both greater than 4 and less than 1, there are no solutions.

Systems-of-equations/549857: solve the system by substitution 9x+8y=4, 8x-8y=-72 1 solutions Answer 358142 by jim_thompson5910(28476)   on 2011-12-22 15:27:11 (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y. So let's isolate y in the first equation Start with the first equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce --------------------- Since , we can now replace each in the second equation with to solve for Plug in into the second equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown. Distribute to Multiply Multiply both sides by the LCM of 8. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver) Distribute and multiply the LCM to each side Combine like terms on the left side Add 32 to both sides Combine like terms on the right side Divide both sides by 136 to isolate x Divide -----------------First Answer------------------------------ So the first part of our answer is: Since we know that we can plug it into the equation (remember we previously solved for in the first equation). Start with the equation where was previously isolated. Plug in Multiply Combine like terms and reduce. (note: if you need help with fractions, check out this solver) -----------------Second Answer------------------------------ So the second part of our answer is: -----------------Summary------------------------------ So our answers are: and which form the point Now let's graph the two equations (if you need help with graphing, check out this solver) From the graph, we can see that the two equations intersect at . This visually verifies our answer. graph of (red) and (green) and the intersection of the lines (blue circle).

Equations/549862: solve the system of equations by using the substitution method 2x-3y=9, y=x-4 1 solutions Answer 358140 by jim_thompson5910(28476)   on 2011-12-22 15:25:27 (Show Source): You can put this solution on YOUR website! 2x-3y=9 2x-3(x-4)=9 2x-3(x-4)=9 2x-3x+12=9 -x+12=9 -x=9-12 -x=-3 x=(-3)/(-1) x=3 ------------------------------------------------------- y=x-4 y=3-4 y=-1 So the solutions are x = 3 and y = -1