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# Recent problems solved by 'Alan3354'

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 real-numbers/556970: hello, i am new to this online help. I really do not know where consecutive numbers/integers lie in algebra. i do not know how to work a problem for consecutive numbers. the algebra question i am trying to learn how to solve is this: the product of two consecutive odd numbers is 399. what are these numbers?1 solutions Answer 362355 by Alan3354(31518)   on 2012-01-13 15:58:56 (Show Source): You can put this solution on YOUR website!the product of two consecutive odd numbers is 399. what are these numbers? ----------- If you factor 399, you find it has a factor of 19. 399 = 19*21 -------------- If you do it the "hard way" x*(x+2) = 399 Now you have to factor 399 anyway. --> 19 & 21 --------------- Another way: is almost 20, the middle of the 2 numbers. --> 19 & 21
 Triangles/556939: a right triangle conatins a 38 degress angle whose adjacent side measures 10 centimeters what is the length of the hypotenus to the nearest hundreth of a centimeter ?1 solutions Answer 362341 by Alan3354(31518)   on 2012-01-13 14:10:39 (Show Source): You can put this solution on YOUR website!a right triangle conatins a 38 degress angle whose adjacent side measures 10 centimeters what is the length of the hypotenus to the nearest hundreth of a centimeter ? ----- side adj/hyp = cos(38) hyp = 10/cos(38)
 Word_Problems_With_Coins/556936: If janet has 7.60 and if she has 40 coins in all, how many coins of each kind does she have?1 solutions Answer 362340 by Alan3354(31518)   on 2012-01-13 14:08:30 (Show Source): You can put this solution on YOUR website!If janet has 7.60 and if she has 40 coins in all, how many coins of each kind does she have? ------------- 28 quarters & 12 nickels will work. Other solutions are possible.
 Probability-and-statistics/556898: You pull a card out of a standard 52-card deck and you pull one card out of another standard deck. What is the probability of pulling a 3 at least once? 1 solutions Answer 362339 by Alan3354(31518)   on 2012-01-13 14:06:48 (Show Source): You can put this solution on YOUR website!You pull a card out of a standard 52-card deck and you pull one card out of another standard deck. What is the probability of pulling a 3 at least once? ------ Each deck has 4 threes. getting one 3 is 1/13 + 1/13 getting two is 1/13 * 1/13 = 1/169 Then 2/13 - 1/169 = 25/169. It's subtracted because getting one 3 is included in getting two 3's. ---------- 25/169
 Geometry_Word_Problems/556934: The area of the rectangle is 6675 in2, find the value of x. width=x length=891 solutions Answer 362337 by Alan3354(31518)   on 2012-01-13 13:47:33 (Show Source): You can put this solution on YOUR website!Area = L*W 6675 = 89W
 Polynomials-and-rational-expressions/556920: I need some help. How do I factor Completely 9b^2+18bd+8d^2 Thank you for all your help1 solutions Answer 362334 by Alan3354(31518)   on 2012-01-13 13:39:50 (Show Source): You can put this solution on YOUR website!How do I factor Completely 9b^2+18bd+8d^2 -------------- 9 = 1*9 or 3*3 8 = 1*8 or 2*4 All the numbers are positive. Find the combination that works. Nothing is accomplished by having someone do it for you.
 test/556927: A druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. How much of each mixture should he use to make 10 ounces that contain 25% of the chemical? If x is the amount of 10% mixture used, then which expression represents the ounces of chemical contained in it?1 solutions Answer 362331 by Alan3354(31518)   on 2012-01-13 13:28:44 (Show Source): You can put this solution on YOUR website!A druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. How much of each mixture should he use to make 10 ounces that contain 25% of the chemical? - 25 is the average of 10 and 40, so it's equal amounts. ----------------- If x is the amount of 10% mixture used, then which expression represents the ounces of chemical contained in it? - Not sure what that means.
 Pythagorean-theorem/556923: Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long. 1 solutions Answer 362328 by Alan3354(31518)   on 2012-01-13 13:19:44 (Show Source): You can put this solution on YOUR website!Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse is 10 feet long. ----------- Do that.
 Travel_Word_Problems/556925: how fast are you going if you travel 6 miles in 20 minutes1 solutions Answer 362327 by Alan3354(31518)   on 2012-01-13 13:18:32 (Show Source): You can put this solution on YOUR website!how fast are you going if you travel 6 miles in 20 minutes --------- d = r*t r = d/t = 6/20 = 0.3 mi/minute
 Points-lines-and-rays/556878: Lines m and n intersect at point A. Line k is perpendicular to both lines m and n at point A. Which statement must be true? 1) Lines m, n and k are in the same plane. 2) Lines m and n are in two different planes. 3) Lines m and n are perpendicular to each other. 4) Line k is perpendicular to the plane containing lines m and n. The correct answer choice is number 4, but I don't know why it is not 3. Please help!!!1 solutions Answer 362306 by Alan3354(31518)   on 2012-01-13 11:06:22 (Show Source): You can put this solution on YOUR website!Lines m and n intersect at point A. Line k is perpendicular to both lines m and n at point A. Which statement must be true? 1) Lines m, n and k are in the same plane. 2) Lines m and n are in two different planes. 3) Lines m and n are perpendicular to each other. 4) Line k is perpendicular to the plane containing lines m and n. The correct answer choice is number 4, but I don't know why it is not 3. ----------------- If you draw 2 intersecting lines on paper, a 3rd line can be perpendicular to both if the 1st 2 lines are perpenicular, or if they're not. 3 might be true, but is not a requirement. Use a paper on a desk and do it. a pencil held perpendicular to both lines is perpendicular, actually the term is normal, to the paper. This is true regardless of the angle between the lines on the paper. ---------- PS 3-space is a lot more than 50% harder than 2-space.
 Probability-and-statistics/556876: 7 exterior colors and 15 interior colors, how many different ways of painting your house are there? 1 solutions Answer 362303 by Alan3354(31518)   on 2012-01-13 10:59:43 (Show Source): You can put this solution on YOUR website!7*15 = 105
 test/556810: Can you please tell me what are the consecutive numbers that adds up to 63 I have found already two: 31,32. 20,21,22. Can you please tell me two more? 1 solutions Answer 362301 by Alan3354(31518)   on 2012-01-13 10:55:59 (Show Source): You can put this solution on YOUR website!Can you please tell me what are the consecutive numbers that adds up to 63 I have found already two: 31,32. 20,21,22. Can you please tell me two more? ------------ Divide 63 by integers to get the middle numbers. 63/2 = 31.5 --> 31 & 32 63/3 = 21 --> 20, 21 & 22 63/4 = none 63/5 = none 63/6 = 10.5 --> 8, 9, 10, 11, 12 & 13 63/7 = 9 --> 6 to 12 63/9 = 7 --> 3 to 11 --------- 63/21 & 63/63 also work, but have negative integers.
 absolute-value/556860: What is |y+5|>01 solutions Answer 362300 by Alan3354(31518)   on 2012-01-13 10:48:22 (Show Source): You can put this solution on YOUR website!What is |y+5|>0 It's an inequality in y.
 Volume/556862: If the cube above has a volume of 8 m3, what is the surface area of the cube?1 solutions Answer 362299 by Alan3354(31518)   on 2012-01-13 10:46:41 (Show Source): You can put this solution on YOUR website!If the cube above has a volume of 8 m3, what is the surface area of the cube? ------ Find the side length, s. The cube has 6 sides, each a square with sides = s.
 Evaluation_Word_Problems/556613: there are cows and chickens on the barnyard and there are 24 legs. how many cows? how many chickens? how do you know?1 solutions Answer 362204 by Alan3354(31518)   on 2012-01-12 20:33:57 (Show Source): You can put this solution on YOUR website!there are cows and chickens on the barnyard and there are 24 legs. how many cows? how many chickens? how do you know? --------------- 2ch + 4cow = 24 There's more than 1 answer, no unique solution. 0 chic and 6 cows 2 chic and 5 cows 4 chic and 4 cows etc
 Polygons/556631: Is it possible to have a regular polygon where each interior angle is equal to 145? If so, how many sides does the polygon have?1 solutions Answer 362202 by Alan3354(31518)   on 2012-01-12 20:30:49 (Show Source): You can put this solution on YOUR website!Is it possible to have a regular polygon where each interior angle is equal to 145? If so, how many sides does the polygon have? ----------- The ext angles will be 180-145 = 35 degs --- # of sides = 360/35, not an integer. Not possible.
 Exponential-and-logarithmic-functions/556622: how to solve one divided by x squared? 1 --- x21 solutions Answer 362198 by Alan3354(31518)   on 2012-01-12 20:24:24 (Show Source): You can put this solution on YOUR website!how to solve one divided by x squared? -------- It's not an equation, nothing to solve.
 test/556635: Factor -xsquared-10x-161 solutions Answer 362197 by Alan3354(31518)   on 2012-01-12 20:23:32 (Show Source): You can put this solution on YOUR website!duplicate
 test/556637: Can I ask you a question?1 solutions Answer 362196 by Alan3354(31518)   on 2012-01-12 20:20:32 (Show Source): You can put this solution on YOUR website!You did.
 test/556634: Factor -x squared-10x-161 solutions Answer 362195 by Alan3354(31518)   on 2012-01-12 20:20:05 (Show Source): You can put this solution on YOUR website!Factor -x squared-10x-16 --------- = -(x^2 + 10x + 16) ----- Find factors of 16 that add to 10.
 Rational-functions/556608: (-243)^1/51 solutions Answer 362194 by Alan3354(31518)   on 2012-01-12 19:45:45 (Show Source): You can put this solution on YOUR website!(-243)^1/5 = -3
 �t�e�s�t/556477: An arrow is fired into the air with an initial velocity of 128 feet per second. The height in feet of the (T) seconds after it was shot into the air is given by the function h(x)=-16t^2+128t. Find the maximum height of the arrow.1 solutions Answer 362191 by Alan3354(31518)   on 2012-01-12 18:21:11 (Show Source): You can put this solution on YOUR website!An arrow is fired into the air with an initial velocity of 128 feet per second. The height in feet of the (T) seconds after it was shot into the air is given by the function h(x)=-16t^2+128t. Find the maximum height of the arrow. ------------------ h(x)=-16t^2+128t. Find the maximum height of the arrow. Maybe you mean h(t) h(t)=-16t^2+128t --- The max is the vertex of the parabola. It's on the line of symmetry. LOS is t = -b/2a t = -128/-32 = 4 seconds ---- f(4) = -16*16 + 128*4 f(4) = 512 - 256 = 256 feet
 Expressions-with-variables/556529: solve by factoring z^2+3z-10=01 solutions Answer 362189 by Alan3354(31518)   on 2012-01-12 18:14:19 (Show Source): You can put this solution on YOUR website!solve by factoring z^2+3z-10=0 --------- Hint: the difference is 3, the product is -10 Can you factor 10?
 Angles/556523: how much is 11% in degree measures?1 solutions Answer 362188 by Alan3354(31518)   on 2012-01-12 18:13:07 (Show Source): You can put this solution on YOUR website!11% of what?
 Linear-equations/556521: What's the slope and the y intercept of this problem 2x+9=-181 solutions Answer 362187 by Alan3354(31518)   on 2012-01-12 18:12:20 (Show Source): You can put this solution on YOUR website!What's the slope and the y intercept of this problem 2x+9=-18 --------- 2x+9=-18 x = -27/2 change in x = 0 --> slope is undefined That's the slope of the graph of the equation, not the slope of the problem. -------------- 2x+9=-18 is an equation, not a problem. ------ It's important to ask the right question.
 Expressions-with-variables/556522: x-8y=18 -16x+16y=-8 How do I solve this using substitution method?1 solutions Answer 362186 by Alan3354(31518)   on 2012-01-12 18:09:52 (Show Source): You can put this solution on YOUR website!duplicate
 Travel_Word_Problems/556517: Carles Lindberg flew 3600 miles from New Tork to paris in 33 2/3 hours. Find his rate in miles per hour, and round to the nearest tenth. 1 solutions Answer 362185 by Alan3354(31518)   on 2012-01-12 18:08:42 (Show Source): You can put this solution on YOUR website!Carles Lindberg flew 3600 miles from New Tork to paris in 33 2/3 hours. Find his rate in miles per hour, and round to the nearest tenth. -------------- d = r*t r = d/t
 Triangles/556510: Can an isosceles triangle measure 16ft,20ft and 22ft?1 solutions Answer 362184 by Alan3354(31518)   on 2012-01-12 18:07:38 (Show Source): You can put this solution on YOUR website!Can an isosceles triangle measure 16ft,20ft and 22ft? ----------- iso means equal. 2 of the sides have to be equal. --------
 Expressions-with-variables/556515: x-8y=18 -16x+16y=-8 How do I solve this using substitution method?1 solutions Answer 362182 by Alan3354(31518)   on 2012-01-12 18:06:31 (Show Source): You can put this solution on YOUR website!x-8y=18 -16x+16y=-8 How do I solve this using substitution method? --------------- You solve 1 of the eqns for 1 of the variables. Then you sub for that variable in the other equation.
 Graphs/556283: Determine the equation of the normal to the curve representing the function f (x) = 3sqrt (x), to the point where x = 9. thank you1 solutions Answer 362139 by Alan3354(31518)   on 2012-01-12 15:02:46 (Show Source): You can put this solution on YOUR website!Determine the equation of the normal to the curve representing the function f (x) = 3sqrt (x), to the point where x = 9. ------------ f'(x) = f'(9) = 1/2 f(9) = 9 ------ Slope m of normal = -2 ---- y = mx + b 9 = -2*9 + b b = 27 --- --> y = -2x + 27