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# Recent problems solved by 'jojo14344'

jojo14344 answered: 1512 problems
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 Average/463595: The speed of train A is 18 mph slower than the speed of train B. Train A travels 200 miles in the same time it takes train B to travel 290 miles. Find the speed of each train1 solutions Answer 317589 by jojo14344(1512)   on 2011-06-22 17:22:56 (Show Source): You can put this solution on YOUR website! Okay, as per given: So, Standard Eq'n for Therefore, = ---> Eqn 1 where, in "T" time Also, = ---> Eqn 2 where, in "T" time. Since T is the same, we can cancell it. Equating the 2 Eqns: ----> Speed of Train B For Tran A: Check: , oks. Thank you, Jojo
 Points-lines-and-rays/351467: Write the equation of a line that is perpendicular to y=-5x-4 and passes through (-35, 10) Please help! :)1 solutions Answer 251118 by jojo14344(1512)   on 2010-10-03 22:33:59 (Show Source): You can put this solution on YOUR website! A line equation follows---> , where If given line has a slope=, then we know that line perpendicular to it has a slope value that is "negative reciprocal" of ----> . Knowing , a line through (,) via Slope intercept form : ---> , Y-inetercept Therefore, it follows (Answer) ----> that is perpendicular to line : Thank you, Jojo
 Percentage-and-ratio-word-problems/350916: Two numbers are in the ratio of 3 to 5. The lesser number is 42. Find the greater number?1 solutions Answer 250833 by jojo14344(1512)   on 2010-10-02 15:11:49 (Show Source): You can put this solution on YOUR website! Let the numbers be & ----> . Being the smaller number as represented in the ratio, it is equal to as stated. Therefore, , cross multiply , Answer - the greater number. Substituting, ----> left side is factorable, divide both numerator & denominator by 14; , oks Thank you, Jojo
 Reduction-of-unit-multipliers/339758: in 5 seconds an athlete runs 40 feet what is the average speed. I know its the total distance over time traveled but what next1 solutions Answer 243388 by jojo14344(1512)   on 2010-09-07 00:19:03 (Show Source): You can put this solution on YOUR website! There you go, it's the total Distance over Time it took to travel. Putting into equation, , Answer Thank you, Jojo
 Graphs/332167: find y and x intercepts 5x-7y=121 solutions Answer 238072 by jojo14344(1512)   on 2010-08-16 00:07:18 (Show Source): You can put this solution on YOUR website! Let F(x) and F(y) = 0: F(x)=0 ---> , Y-intercept F(y)=0 ---> , X-intercept Let's see the graph: Thank you, Jojo
 Linear-systems/295936: The question is.... 1/2 x + 6 = 2 + 2x..... I know the answer is 2... but please give it to me step by step ..... I would like it very visual so I can see where is the 2 coming from..1 solutions Answer 213299 by jojo14344(1512)   on 2010-04-24 01:37:26 (Show Source): You can put this solution on YOUR website! See Q# 295937
 Linear-systems/295937: The question is.... 1/2x + 6 = 3 + 2x.... I know the answer is 2... but I need a visual step by step answer so that I can understand where the 2 came from.. I'm confused.. pleaseee help me.... sstep by step...1 solutions Answer 213298 by jojo14344(1512)   on 2010-04-24 01:36:13 (Show Source): You can put this solution on YOUR website! Given: First, we combine similar terms. Move all constant terms (no "x") to the left, and move all terms with "x" to the right. Remember to change sign. Perform indicated operations: Solve for "x" by dividing both terms by 1.50, leaving "x" alone on the right side: , Answer Thank you, Jojo
 Linear-equations/283027: Find the y intercept and the x intercept for this equation: 4x-2y=81 solutions Answer 205518 by jojo14344(1512)   on 2010-03-20 09:42:30 (Show Source): You can put this solution on YOUR website! Given Line Eqn, To find x-intercept, let Fy=0; ---> , x-intercept For y-intercept, let Fx=0: ---> , y-intercept See graph, Thank you, Jojo
 Evaluation_Word_Problems/282638: 540 decreased by 52.5%1 solutions Answer 205229 by jojo14344(1512)   on 2010-03-18 20:59:29 (Show Source): You can put this solution on YOUR website! Simply, 52.5% of 540 = So, , Answer Thank you, Jojo
 Circles/282665: I'm not sure how to work these out. Would someone mind helping please? Find the area of the circle with the given circumference. Use 3.14 for pi 1. C=31.4 ft 2. C=69.08 cm 3. C=17.27 yd1 solutions Answer 205225 by jojo14344(1512)   on 2010-03-18 20:44:55 (Show Source): You can put this solution on YOUR website! We'll do the 1st number and for sure you can follow thru. Working Eqn: , where is unknown. But given Circumference (C), we can get radius right? As per given in #1) C=31.4ft ---> Therefore, , Answer You can do the same with the following items, #2 & #3. Thank you, Jojo
 Percentage-and-ratio-word-problems/276702: Alonzo's gas tank is 3/10 full. After he buys 10 gallons of gas, it is 4/5 full. How many gallons can Alonzo's tank hold? 1 solutions Answer 201645 by jojo14344(1512)   on 2010-03-03 17:34:16 (Show Source): You can put this solution on YOUR website! Let's illustrate the tank to help us in the problem: ----> "+" 10 gal ---> Putting the scenario into equation: , Answer (full tank) Check: 1st scenario () full = 2nd scenario: added 10 gal: --> Thank you, Jojo
 Surface-area/269680: whats the area of a rhombus with one diameter of 7 an a 45 degree angle?1 solutions Answer 197619 by jojo14344(1512)   on 2010-02-15 00:07:01 (Show Source): You can put this solution on YOUR website! Most probably you're talking of one "diagonal" 7 and a 45deg angle. Then, sq.units, Answer Thank you, Jojo
 Rectangles/266232: The length of a rectangle is 6 cm longer than its width. If the perimeter is 40 cm, what is the area?1 solutions Answer 195632 by jojo14344(1512)   on 2010-02-05 23:32:34 (Show Source): You can put this solution on YOUR website! Let us state the given: Width = ? = Length = Perimeter = Knowing Perimeter of a Rectangle, substitute given: ----> ---> ---> For SO for the Thank you, Jojo
 Linear-systems/261618: y=2x-6 y=5x+151 solutions Answer 192749 by jojo14344(1512)   on 2010-01-26 22:31:03 (Show Source): You can put this solution on YOUR website! Given:, In }, let Fx=0: Point (0,-6) Let Fy=0: ---> ---> Point (3,0) In , let Fx=0: Point (0,15) Let Fy=0: ---> ---> Point (-3,0) Lines intersect at: : Point (-7,-20) Thank you, Jojo
 Problems-with-consecutive-odd-even-integers/261100: In a triangle ABC, angle B is 3 times angle A and angle C is 18 less than 6 times angle A. find the size of the angles. The size of angle A is? The size of angle B is? The size of angle C is?1 solutions Answer 192362 by jojo14344(1512)   on 2010-01-25 22:47:43 (Show Source): You can put this solution on YOUR website! We know that angles in a triangle equal 180 deg. Then it follows, , Working Eqn. Let us see the conditions: Angle B is 3 times angle A: , condt'n 1 Angle C is 18 less than 6 imes angle A: , condt'n 2 Substitute the conditions in our Working Eqn: ---> , Answer Let's check by substituting in the condt'ns. Condt'n 1: Condt'n 2: Then via Working Eqn: Thank you, Jojo
 Graphs/261104: graph each equation 1) y = 3 x -2 2) y = - 4/5 x +3 3) 3 y + 2 = x - 41 solutions Answer 192356 by jojo14344(1512)   on 2010-01-25 22:17:27 (Show Source): You can put this solution on YOUR website! We'll do one number, and take from there to solve the rest. 3) Let Fx=0: ---> Point (0,-2) Let Fy=0: Point (6,0) So the line passes thru points (,) & (,): Thank you, Jojo
 Equations/261103: 3(x - 3 ) = 5x - 11 how do you figure out X1 solutions Answer 192354 by jojo14344(1512)   on 2010-01-25 22:02:04 (Show Source): You can put this solution on YOUR website! Given: Distribute: Combine similar terms (change sign): ---> , Answer Check via given: Thank you, Jojo
 Geometry_Word_Problems/261079: the carpenter saws a board into two pieces. he wants one piece to be one foot longer than twice the length of the shorter piece. find the length of each piece. the board is 22 ft.1 solutions Answer 192352 by jojo14344(1512)   on 2010-01-25 21:50:19 (Show Source): You can put this solution on YOUR website! Let 1st board = 2nd board = , make this the shorter piece We know, , condt'n. 1 Also, , condt'n. 2 Substitute condt'n. 2 in 1: ---> ----> , length shorter piece. In condt'n 2: , longer piece CHeck via dont'n 1: Thank you, Jojo
 Equations/259431: Ive been out of high school for years now and I cant even remember how to do this problem my little sister needs help with this problem 3x+4=x-51 solutions Answer 190968 by jojo14344(1512)   on 2010-01-21 17:20:13 (Show Source): You can put this solution on YOUR website! Given: Combine similar terms. Remember to change sign when you move to the left or to the right: Isolate "x" by dividing 2 on both sides: , Answer Chek by substituting to the equation: Get Least Common Denominator to do the operations: , good Thank you, Jojo
 Triangles/258656: I have a triangle of 10in base and x height. It doesnt give me the diaganol line but it does give me that 10 and x meet at a 90 degree angle and the diaganol and x meet at 60 and of course I figured out the point was 30. How do I solve this?1 solutions Answer 190426 by jojo14344(1512)   on 2010-01-19 22:24:49 (Show Source): You can put this solution on YOUR website! Let us see the Triangle ----> "base" & "x" are perpendicular , having the "diagonal" and "x" meet at 60 deg. By Trigo Function: , DIAGONAL Also, , HEIGHT Check via Pyth Theorem: Thank you, Jojo
 Systems-of-equations/258128: y=x+1 y=2x-1 1 solutions Answer 190014 by jojo14344(1512)   on 2010-01-18 17:32:11 (Show Source): You can put this solution on YOUR website! Given: In EQN 1, let Fy=0: : Point (-1,0) let Fx=0; : Point (0,1) The Line passes on points (-1,0) & (1,0) In EQN 2, let Fy=0: ---> : Point (0.50,0) let Fx=0: : Point (0,-1) The line passes on points (1/2, 0) & (0,-1) We see both lines: ---> Intersect at Point (2,3) Check, equate the two lines: , susbt, in EQN 1: Point (2,3), solution Thank you, Jojo
 Geometry_Word_Problems/256309: A man is walking away from a lamppost with a light source h = 6 m above the ground. The man is m = 1.5 m tall. How long is the man's shadow when he is d = 11 m from the lamppost? (Hint: Use similar triangles.)1 solutions Answer 188464 by jojo14344(1512)   on 2010-01-12 22:07:57 (Show Source): You can put this solution on YOUR website! From the problem, it is indeed a magnification of similar triangles The sides of the angels are in the same ratio: ---> , Length of shadow, Answer Thank you, Jojo
 Volume/255283: What is the height of a cone if the radius is 4.5m and its volume is 381.7m cubed? 1 solutions Answer 187560 by jojo14344(1512)   on 2010-01-10 09:49:11 (Show Source): You can put this solution on YOUR website! Plug in the given to the formula, Thank you, Jojo
 Surface-area/254586: The area of a square is 50. what is the length of the diagonal?? Thank you !1 solutions Answer 186917 by jojo14344(1512)   on 2010-01-07 17:22:23 (Show Source): You can put this solution on YOUR website! If the Area of a Square is 50 sq units, we can compute the sides. By definition, ----> Sides ----> Pythagorean Theorem: , Answer Thank you, Jojo
 Inequalities/247730: graph the equations y = 3x and y = -3x on a linear graph.1 solutions Answer 180613 by jojo14344(1512)   on 2009-12-09 09:19:03 (Show Source): You can put this solution on YOUR website! Given: Equations and In , let Fy=0: --> y=1: ---> y=2: ---> y=3: ---> y=-1: ---> y=-2: ---> y=-3: ---> We see the points in the graph: In , Let Fy=0: ---> y=1: ---> y=2: ---> y=3: ---> y=(-1): ---> y=(-2): ---> y=(-3): ---> We see the points: Thank you, Jojo
 Bodies-in-space/247724: how many cubic meters of water can a water tank hold, if the tank is a cylinder 10 meters high and 12 meters in diameter?1 solutions Answer 180605 by jojo14344(1512)   on 2009-12-09 08:33:33 (Show Source): You can put this solution on YOUR website! We take the Volume of a cylinder: Area of the base x height: , Answer Thank you, Jojo
 Length-and-distance/247312: A room has an area of 322 square feet. one dimension is 9ft more than the other. Find the dimensions of the room? 1 solutions Answer 180440 by jojo14344(1512)   on 2009-12-08 16:31:31 (Show Source): You can put this solution on YOUR website! Let us see the room (being rectangle): , where Solving discriminant: Continuing the quadratic eqn: 2 values: , use (Answer) , discard Length: Check, Thank you, Jojo
 Sequences-and-series/244054: The ratio of two numbers is 1.5. The difference between these two numbers is 12. Find the two numbers1 solutions Answer 178653 by jojo14344(1512)   on 2009-11-30 14:49:53 (Show Source): You can put this solution on YOUR website! Condition 1: Condittion 2: In Condtn 1 we get, , EQN 1, substitute in Condtn 2: ----> , one number Susbt. in EQN 1: , other number Check it out by substituting to the conditions. Thank you, Jojo
 Polynomials-and-rational-expressions/242751: Rachel allows herself 1 hr to reach a sales appointment 50 miles away. After she has driven 30 miles, she realizes that she must increase her speed by 15 mph in order to get there on time. What was her speed for the first 30 miles?1 solutions Answer 177708 by jojo14344(1512)   on 2009-11-25 15:35:34 (Show Source): You can put this solution on YOUR website! Basic Eqn : Speed = Distance / Time Remember, Rachel Speed should be 50 mi/hr ---> After travelling 30 miles in t time ----> , she increased by 15mi/hr -----> Putting the scenario into eqn: ----------> Working Eqn ---> ---> subst. to So, her speed for the 1st 30 miles = , ANSWER Check, go back Working Eqn: Thank you, Jojo
 Quadratic_Equations/236055: The Everton college store paid \$1903 for an order of 49 calculators.The store paid \$11 for each scientific calculaor. The others,all graphing calculators,cost the store \$55 each. How many types of each calculator was ordered?1 solutions Answer 173809 by jojo14344(1512)   on 2009-11-06 22:06:28 (Show Source): You can put this solution on YOUR website! Let x= SC and y=GC Then, , EQN 1 Also we know, , EQN 2 we get, , EQN 3, subst. in EQN 1 ----> , number of GC, subst, in EQN 3 , number of SC Check via EQN 1: Thank you, Jojo
 Numeric_Fractions/230286: 2x=4-2y1 solutions Answer 170520 by jojo14344(1512)   on 2009-10-22 15:42:33 (Show Source): You can put this solution on YOUR website! Line Eqn ---> Let F(x)=0 ----> ---> Y-intercept: (0,2) Let Fy=0 ---> X-intercept: (2,0) Thank you, Jojo