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# Recent problems solved by 'rapaljer'

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 Volume/308577: here is my question for someone to answer.. iam not a student but trying to figure out a problem and can not find a answer anywhere else.. if a tank is 60.ft long-x-15.ft tall -x-15.ft wide ..how many sqaure feet is the inside tank for building ..i trying to see if still under 1800 sqft or over the fact..1 solutions Answer 220640 by rapaljer(4667)   on 2010-05-25 22:57:39 (Show Source): You can put this solution on YOUR website!Volume of a rectanglar tank is L*W*H, which in this case is 60*15*15= 13500 cubic feet. By the way, volume is given in cubic feet. Square feet is for area or perhaps surface area. I'm not sure the meaning of your 1800 sq.ft. Maybe you should reply to this by way of sending me an Email at rapaljer@seminolestate.edu or just send me a Thank You note to give me more details. Then I can respond to your Email or I can add a note to the solution I've posted. I think you were asking about the surface area of the tank. The surface area of the top of the tank is 60*15= 900 square feet. Dr. Robert J. Rapalje, Retired Seminole State College of Florida
 Geometry_Word_Problems/308574: The perimeter of a rectangular concrete slab is 82 feet and its area is 418 square feet. What is the length of the longer side of the slab? I started by making two seperate equations, one for perimeter and one for area. I came up with 2L+2W=82 and L*W=418. I don't know where to go from here. 1 solutions Answer 220638 by rapaljer(4667)   on 2010-05-25 22:41:57 (Show Source): You can put this solution on YOUR website!Simplify the first equation by dividing both sides by 2. L+W= 41 Solve for W: W=41-L Substitute back into the other equation: LW=418 L(41-L)=418 41L-L^2-418=0 Multiply both sides by -1: L^2 -41L +418=0 The hard part is to find two numbers that multiply to give you 418, and that adds up to 41. The way I teach this is to start with 1 and make a list as follows: 1*418 2*209 11*38 19*22 This is the combination! (L-19)(L-22)=0 L=19 or L=22 This means that 19 is the width and 22 is the length. Dr. Robert J. Rapalje, Retired P.S. Nice problem!!!
 test/308567: Solve the equation using the zero-product property. (2x+2)(5x-5)=01 solutions Answer 220632 by rapaljer(4667)   on 2010-05-25 22:10:02 (Show Source): You can put this solution on YOUR website!When a product of two quantities equals 0, then one of those quantities must equal 0. In this case, there are two solutions. (2x+2)(5x-5)=0 First solution: 2x+2=0 2x=-2 x=-1 Second solution: 5x-5=0 5x=5 x=1 Dr. Robert J. Rapalje, Retired
 Inequalities/308559: how do you determine which inequality is represented by a graph?1 solutions Answer 220630 by rapaljer(4667)   on 2010-05-25 21:48:36 (Show Source): You can put this solution on YOUR website!Like on a multiple choice or matching test??? First make sure the line is in the right place. Then, for inequalities there is the question of shading ABOVE the line or BELOW the line. That is a separate question. Besides this, you need to be more specific. Perhaps you could give an example or two. Dr. Robert J. Rapalje, Retired
 Angles/308562: what is the measure of the supplement of an angle with a measure of 41 degrees?1 solutions Answer 220627 by rapaljer(4667)   on 2010-05-25 21:44:49 (Show Source): You can put this solution on YOUR website!108-41=139 degrees
 Linear-systems/308558: (3a^8)(a^6)1 solutions Answer 220625 by rapaljer(4667)   on 2010-05-25 21:41:56 (Show Source): You can put this solution on YOUR website!When you multiply with the same base number, you ADD exponents. (3a^8)(a^6)= 3a^14 You may want to see my website for help with Laws of Exponents! To find my website, just click on my tutor name "Rapaljer" anywhere in algebra.com. For written explanations, look for "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Basic Algebra" and look for "Chapter 2, Sections 2.12 and 2.13" See also the "MATH IN LIVING COLOR" pages that go with this explanation, where the exercises are solved IN COLOR! Dr. Robert J. Rapalje, Retired Seminole State College of Florida Altamonte Springs Campus
 Equations/308556: how do I graph something like this?: 1 solutions Answer 220621 by rapaljer(4667)   on 2010-05-25 21:31:38 (Show Source): You can put this solution on YOUR website!Either make a table of values, or use a graphing calculator. Dr. Robert J. Rapalje, Retired
 Linear-equations/308554: 35-10<5(y-2)1 solutions Answer 220620 by rapaljer(4667)   on 2010-05-25 21:29:24 (Show Source): You can put this solution on YOUR website!35-10<5y-10 25+10<5y 35<5y 7 < y y>7 Dr. Robert J. Rapalje, Retired
 Triangles/308552: what is the formula of a triangle that is 1 2/3 yard for base and 3/4 yard for height? Not sure how to figure the 2/3, and 3/4 on the calculator. 1 solutions Answer 220619 by rapaljer(4667)   on 2010-05-25 21:26:39 (Show Source): You can put this solution on YOUR website!Change the 1 2/3 to an improper fraction which is 5/3, then you can calculate 5 divided by 3. Now, the formula for area of a fraction is . With a calculator, multply , which you can do in your head = 5/4, then take that answer and divide by 2. On the calculator, 5 divided by 3 times 3 divided by 4, and then divided by 2. You will get a decimal, which most calculators will convert back to a fraction. The final answer is 5/8. Dr. Robert J. Rapalje, Retired
 expressions/308525: a=-5 b=2 3ab=1 solutions Answer 220618 by rapaljer(4667)   on 2010-05-25 21:19:39 (Show Source): You can put this solution on YOUR website!3ab 3(-5)(2) -15(2) -30
 Graphs/308537: Y = x - 1/2 What is the slope and Y intercept? 1 solutions Answer 220617 by rapaljer(4667)   on 2010-05-25 21:17:38 (Show Source): You can put this solution on YOUR website!y=mx+b m=slope= 1 Y-intercept (where x=0), Y=-1/2.
 Volume/308549: If a cone has a height of 5 inches and a volume of find the diameter of the circular base.1 solutions Answer 220616 by rapaljer(4667)   on 2010-05-25 21:15:19 (Show Source): You can put this solution on YOUR website!You forgot to give the volume.
 Inequalities/308538: Describe what the graph of interval [-4,10] looks like? I just dont understand how to do this can you pleas help me.1 solutions Answer 220615 by rapaljer(4667)   on 2010-05-25 21:14:20 (Show Source): You can put this solution on YOUR website!This interval means all values on the numberline between -4 and 10, including the endpoints.
 Radicals/308547: Multiplying and dividing rational expressions.1 solutions Answer 220614 by rapaljer(4667)   on 2010-05-25 21:12:26 (Show Source): You can put this solution on YOUR website!State the problem??
 Polynomials-and-rational-expressions/308519: (3x-5)(x+2) 1 solutions Answer 220592 by rapaljer(4667)   on 2010-05-25 20:02:43 (Show Source): You can put this solution on YOUR website!FOIL: (3x-5)(x+2) 3x^2+6x-5x-10 NOTE: Combine like terms!! 6x-5x=1x, which we write as "x". 3x^2+x-10
 Geometry_Word_Problems/308515: Pat measures the length of the shadow of a tree to be 54 feet long. At the same time he measures his own shadow to be 12 feet long and his height to be 5 feet. how tall is the tree in feet?1 solutions Answer 220591 by rapaljer(4667)   on 2010-05-25 19:56:49 (Show Source): You can put this solution on YOUR website!Let x= height of the tree Set up the ratio: Since means , means = 22.5 feet. Dr. Robert J. Rapalje, Retired
 Trigonometry-basics/308491: How many solutions to ? csc(squared)x+251 solutions Answer 220590 by rapaljer(4667)   on 2010-05-25 19:49:26 (Show Source): You can put this solution on YOUR website!This is not an equation, so you can't really find "solutions".