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# Recent problems solved by 'Alan3354'

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 Linear-equations/562468: Solve the following using any method you wish. x/4-y/9=1 x/4+y/3=1 1 solutions Answer 364580 by Alan3354(30993)   on 2012-01-25 14:57:46 (Show Source): You can put this solution on YOUR website!duplicate
 Triangles/562476: what would be the range of a measure for a third side of a triangle with measures 11,11?1 solutions Answer 364578 by Alan3354(30993)   on 2012-01-25 14:56:48 (Show Source): You can put this solution on YOUR website!what would be the range of a measure for a third side of a triangle with measures 11,11? --------- 0 < s < 22
 Exponents-negative-and-fractional/562447: How do I simplify (6.5x10^8)^-4? Plz show steps so I understand. Krambeers4@sbcglobal.net1 solutions Answer 364571 by Alan3354(30993)   on 2012-01-25 14:26:13 (Show Source): You can put this solution on YOUR website!How do I simplify (6.5x10^8)^-4? --------- = = = Is that simpler? Or Or 5.602E-36 ? ----- Simplified can be a matter of opinion.
 Average/562450: if i currently have a 90 average, and i take a test thats worth 25 percent of my grade and i recive a 60 what is my new average?1 solutions Answer 364570 by Alan3354(30993)   on 2012-01-25 14:20:43 (Show Source): You can put this solution on YOUR website!if i currently have a 90 average, and i take a test thats worth 25 percent of my grade and i recive a 60 what is my new average? --------------- This one is similar: ------- If I have a 56 in my class, what would I need to get on the exam(30%) to at least get a 70? ----------- 56*70 + score*30 = 70*100 score = (7000 - 3920)/30 score = 102.67% needed to make 70
 Average/562458: If I have a 56 in my class, what would I need to get on the exam(30%) to at least get a 70? 1 solutions Answer 364569 by Alan3354(30993)   on 2012-01-25 14:18:13 (Show Source): You can put this solution on YOUR website!If I have a 56 in my class, what would I need to get on the exam(30%) to at least get a 70? ----------- 56*70 + score*30 = 70*100 score = (7000 - 3920)/30 score = 102.67% needed to make 70 ----------- Knowing how to solve this one might be a start.
 Linear-equations/562456: Solve the following using any method you wish. x/4-y/9=1 x/4-y/3=11 solutions Answer 364568 by Alan3354(30993)   on 2012-01-25 14:15:10 (Show Source): You can put this solution on YOUR website!x/4-y/9=1 x/4-y/3=1 ------------ If you subtract, you get some fractions of y = 0 so y = 0 --> x = 4
 Travel_Word_Problems/562442: A force of 55 Newtons is acting on a body in a north direction. A second force of 30 Newtons is applied to the body in a east direction. What is the net force and direction of action?1 solutions Answer 364567 by Alan3354(30993)   on 2012-01-25 14:09:03 (Show Source): You can put this solution on YOUR website!A force of 55 Newtons is acting on a body in a north direction. A second force of 30 Newtons is applied to the body in a east direction. What is the net force and direction of action? ------------ It's a right triangle. The resultant force is the hypotenuse, =~ 62.65 N ------- The angle measured from North is the arctan(30/55) =~ 28.6 degs
 Travel_Word_Problems/562404: An airplane flying directly north at a constant rate, travels 550 km in 3.5 hours. What is the velocity of the airplane? 1 solutions Answer 364562 by Alan3354(30993)   on 2012-01-25 12:22:47 (Show Source): You can put this solution on YOUR website!An airplane flying directly north at a constant rate, travels 550 km in 3.5 hours. What is the velocity of the airplane? --------- d = r*t r = d/t
 Miscellaneous_Word_Problems/562393: the light and one lighthouse flashes every 8 seconds while the other light house flashes every 15 seconds. they flash together at midnight.what is the time when they next flash together?1 solutions Answer 364560 by Alan3354(30993)   on 2012-01-25 11:54:02 (Show Source): You can put this solution on YOUR website!the light and one lighthouse flashes every 8 seconds while the other light house flashes every 15 seconds. they flash together at midnight.what is the time when they next flash together? ------------ They flash together every 120 seconds, 8*15 = 120, the LCD. --> 0002, 0004, etc
 Equations/562373: Determine the area between the x-axis, the vertical lines x = 0 and x = 1 and the following curve: F(x) = 2x^3 + e^3x Please, thank you1 solutions Answer 364559 by Alan3354(30993)   on 2012-01-25 11:47:37 (Show Source): You can put this solution on YOUR website!Determine the area between the x-axis, the vertical lines x = 0 and x = 1 and the following curve: F(x) = 2x^3 + e^3x ------------------ F+(1) = 1/2 + e^3/3 F+(0) = 1/3 ---------- Area = F+(1) - F+(0) = 1/2 + e^3/3 - 1/3 Area =~ 6.8618 sq units ------------ F+(x) also has a C term, the constant, but they cancel when the 2 values are subtracted, so they can be ignored.
 Travel_Word_Problems/562382: The height of an object thrown upward with an initial velocity of 32 feet per second is given by the formula h=-16t^2+32t, where t is the time in seconds. How long will it take the object to reach a height of 16 feet?1 solutions Answer 364558 by Alan3354(30993)   on 2012-01-25 11:33:04 (Show Source): You can put this solution on YOUR website!The height of an object thrown upward with an initial velocity of 32 feet per second is given by the formula h=-16t^2+32t, where t is the time in seconds. How long will it take the object to reach a height of 16 feet? --------- h=-16t^2+32t Solve for t then h = 16 h=-16t^2+32t = 16 t^2 - 2t + 1 = 0 t = 1 second.
 Rectangles/562385: If the area of a rectangle is 2275 square feet and its width is 35 feet, what is its length ?1 solutions Answer 364557 by Alan3354(30993)   on 2012-01-25 11:22:41 (Show Source): You can put this solution on YOUR website!If the area of a rectangle is 2275 square feet and its width is 35 feet, what is its length ? -------- Area = L*W L = Area/W
 Word_Problems_With_Coins/562376: Andrea has 52 coins in dimes and quarters worth \$10. How much of each coin does she have?1 solutions Answer 364556 by Alan3354(30993)   on 2012-01-25 10:58:12 (Show Source): You can put this solution on YOUR website!Andrea has 52 coins in dimes and quarters worth \$10. How much of each coin does she have? ------------ Form 2 equations. d + q = 52 10d + 25q = 1000 ------ Can you finish it? ========== Another method: If all 52 coins were dimes, it would be \$5.20 Each dime that is replaced by a quarter adds 15 cents to the total. 1000 - 520 = 480 480/15 = 32 dimes replaced by quarters --> 32 quarters and 20 dimes
 Systems-of-equations/562214: a 4% salt solution is mixed with a 16% salt solution. How many milliliters of each solution are needed to obtain 600 milliliters of a 10% salt solution?1 solutions Answer 364488 by Alan3354(30993)   on 2012-01-24 22:16:17 (Show Source): You can put this solution on YOUR website!a 4% salt solution is mixed with a 16% salt solution. How many milliliters of each solution are needed to obtain 600 milliliters of a 10% salt solution? ------- 10 is the average of 4 and 16, so it's equal amounts.
 test/562204: Factor the difference of two cubes x^3 -3431 solutions Answer 364480 by Alan3354(30993)   on 2012-01-24 22:04:10 (Show Source): You can put this solution on YOUR website!Factor the difference of two cubes x^3 -343 ------------ Hint: 343 = 7^3
 Age_Word_Problems/562150: Peggy is 6 years older than Rosalie. In two years, Peggy will be twice as old as Rosalie. Find their ages.1 solutions Answer 364459 by Alan3354(30993)   on 2012-01-24 20:52:44 (Show Source): You can put this solution on YOUR website!Peggy is 6 years older than Rosalie. In two years, Peggy will be twice as old as Rosalie. Find their ages. ------------ The difference will always be 6 years. When Peggy is twice as old, 6*2 = 12. --> 10 and 4
 Age_Word_Problems/562149: Question: Directions: Write a system of equations to model the situation. Sarah is 25 years older than her son Gavin. In ten years, Sarah will be twice Gavin's age. How old are Sarah and Gavin now? My Work: Let x= Sarah's age Let y= Gavin's age y=x-25 10+x=2y Subsitution: y=2y-25 +25 y+25=2y -y 25=2y divide by 2 y=25 2(25)=x x=50 Sarah is 50 years old and Gavin is 25 years old.1 solutions Answer 364458 by Alan3354(30993)   on 2012-01-24 20:50:56 (Show Source): You can put this solution on YOUR website!Question: Directions: Write a system of equations to model the situation. Sarah is 25 years older than her son Gavin. In ten years, Sarah will be twice Gavin's age. How old are Sarah and Gavin now? My Work: Let x= Sarah's age Let y= Gavin's age y=x-25 10+x=2y ************** In 10 years, 2*(x-15) = y+10 Subsitution: y=2y-25 +25 y+25=2y -y 25=2y divide by 2 y=25 2(25)=x x=50 Sarah is 50 years old and Gavin is 25 years old. ------------------------ The answer you got is what their ages will be in 10 years. Now, they're 40 and 15. =============================
 sets-and-operations/562097: what is 10t-3=t+151 solutions Answer 364452 by Alan3354(30993)   on 2012-01-24 20:41:25 (Show Source): You can put this solution on YOUR website!what is 10t-3=t+15 ---------- It's an equation in t
 Numeric_Fractions/562135: Hello. I'm a parent trying to help her 6th grade student. How do you solve 9/6 = h/14? 6 doesn't go into 14 evenly so do I need to reduce it to 3/2 and then 3/2 = 21/14? 2 goes into 14 seven times so I multiplied 7 x 3 and got 21. Probably didn't do it right. Please help me refresh my memory. Thanks! Beth1 solutions Answer 364451 by Alan3354(30993)   on 2012-01-24 20:39:57 (Show Source): You can put this solution on YOUR website!How do you solve 9/6 = h/14? ------------- Cross multiply 9*14 = 6h 6h = 126 h = 21 ---------- 21 is right, but do it the easy way.
 Surface-area/561878: Find the circumference and area of a circle. D=2.1in1 solutions Answer 364395 by Alan3354(30993)   on 2012-01-24 16:18:34 (Show Source): You can put this solution on YOUR website!Find the circumference and area of a circle. D=2.1in --------- r = d/2 = 1.05 inch ----
 Coordinate-system/561737: how would i go about graphing y = 2 x - 31 solutions Answer 364364 by Alan3354(30993)   on 2012-01-24 11:14:33 (Show Source): You can put this solution on YOUR website!how would i go about graphing y = 2 x - 3 -------- Pick 2 values for x, and find y. Plot the 2 points. Draw a line thru them.
 Numbers_Word_Problems/561709: the sum of three consecutive odd intergers is 18 less than 5 times the middle number. Find the three intergers1 solutions Answer 364357 by Alan3354(30993)   on 2012-01-24 10:05:38 (Show Source): You can put this solution on YOUR website!the sum of three consecutive odd intergers is 18 less than 5 times the middle number. Find the three intergers ------------ x-2 + x + x+2 = 5x - 18 3x = 5x - 18 x = 9 --> 7, 9 & 11 PS They're integers, not intergers.
 Geometry_Word_Problems/561666: 0 divided by 5 is the answer 0 or undefined ? 1 solutions Answer 364354 by Alan3354(30993)   on 2012-01-24 09:26:19 (Show Source): You can put this solution on YOUR website!= 0 -------- Zero divided by anything = 0. 0/n = 0. except 0/0 = any number, --> undefined. ------ The other tutor has an obvious problem with 5's.
 test/561669: 6x^2-11x+41 solutions Answer 364352 by Alan3354(30993)   on 2012-01-24 09:24:32 (Show Source): You can put this solution on YOUR website!6x^2-11x+4 ------------ What about it? Do you have a question?
 Travel_Word_Problems/561682: This is a real world math problem: Is it possible to accelerate from 45 mph to 71 mph in 20 seconds and then safely return to 50 mph in .8 miles? The car is a 2011 Kia Forte Koup EX 2dr FWD. Engine: 2.0L 1-4 Engine. Power: 156@6,200 rpm. Automatic transmission. 0-60 in 7.6 seconds. According to a test drive I saw on you tube it went from 45 to 71 in 20 seconds.1 solutions Answer 364350 by Alan3354(30993)   on 2012-01-24 09:20:00 (Show Source): You can put this solution on YOUR website!Is it possible to accelerate from 45 mph to 71 mph in 20 seconds and then safely return to 50 mph in .8 miles? The car is a 2011 Kia Forte Koup EX 2dr FWD. Engine: 2.0L 1-4 Engine. Power: 156@6,200 rpm. Automatic transmission. 0-60 in 7.6 seconds. According to a test drive I saw on you tube it went from 45 to 71 in 20 seconds. -------------- 0 to 60 mi/hr = 0 to 88 ft/sec 88/7.6 =~ 11.6 ft/sec/sec acceleration =~ 0.36 g ------------ 71 - 45 = 26 mi/hr = 38 ft/sec change in speed 38/20 = 1.9 ft/sec/sec =~ 0.06 g Not a lot of acceleration, but "top end" might be an issue. If the acceleration is constant, which is seldom the case, the distance covered during the acceleration from 45 to 71 in 20 seconds = 1701 feet = 0.32 miles -------------- Slowing from 71 to 50 mi/hr in 0.8, or in the remaining 0.48 miles, is easy.
 test/561544: I am having a hard time understanding elimination using multiplication and using systems equations - example Y+2x= -1 Y-4=-2x I appreciate any help - hn1 solutions Answer 364291 by Alan3354(30993)   on 2012-01-23 21:30:24 (Show Source): You can put this solution on YOUR website!I am having a hard time understanding elimination using multiplication and using systems equations - example Y+2x= -1 Y-4=-2x ----------- Put the equations in the same form. y + 2x = -1 y + 2x = 4 --------- These are inconsistent. y+2x can't equal both -1 & 4. If you graph them, you get parallel lines. No intersection, no solution.
 Polynomials-and-rational-expressions/561470: What is (x+2)^101 solutions Answer 364272 by Alan3354(30993)   on 2012-01-23 19:38:37 (Show Source): You can put this solution on YOUR website!It's a binomial in x raised to the power of 10.
 Volume/561430: What is the volume for a cylinder with a radius of 14 inches and a height of 1.5 feet?1 solutions Answer 364265 by Alan3354(30993)   on 2012-01-23 18:55:19 (Show Source): You can put this solution on YOUR website!What is the volume for a cylinder with a radius of 14 inches and a height of 1.5 feet? -------------
 Triangles/561204: What is sin(x) if the sides of an isosceles triangle (not right) are sin(x), cos(x), tan(x)?1 solutions Answer 364212 by Alan3354(30993)   on 2012-01-23 14:16:32 (Show Source): You can put this solution on YOUR website!What is sin(x) if the sides of an isosceles triangle (not right) are sin(x), cos(x), tan(x)? -------------- sin(x) = cos(x) if x = pi/4 --> sin(x) = sqrt(2)/2 ------------ Or cos(x) = tan(x) --> sin(x) = (sqrt(5) - 1)/2
 logarithm/561140: I have tried but i cannot solve this equation, I would appreciate some help, pls log(x+1)^2 + log(x+9)^2 = 2log91 solutions Answer 364170 by Alan3354(30993)   on 2012-01-23 10:30:26 (Show Source): You can put this solution on YOUR website!I have tried but i cannot solve this equation, I would appreciate some help, pls log(x+1)^2 + log(x+9)^2 = 2log9 ----------- Assuming it's log( (x+1)^2) and not the log^2: ----- 2log(x+1) + 2log(x+9) = 2log9 log(x+1) + log(x+9) = log(9) log((x+1)*(x+9) = log(9) x = 0, x = -10 ----- -10 won't work, so ignore it. --> x = 0
 Surface-area/560562: A metal hollow bar whose cross section and dimension are shown below weighs 8x10^3 kg/m^3 and measure 2m in length ..determine the mass of the metal bar.1 solutions Answer 363978 by Alan3354(30993)   on 2012-01-22 08:57:50 (Show Source): You can put this solution on YOUR website!A metal hollow bar whose cross section and dimension are shown below weighs 8x10^3 kg/m^3 and measure 2m in length ..determine the mass of the metal bar. ---------- Shown where?