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Recent problems solved by 'Alan3354'

Alan3354 answered: 30939 problems
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Travel_Word_Problems/743800: How long would it take to drive 17000 miles at 55 mph? 1 solutions Answer 453076 by Alan3354(30959)   on 2013-05-01 10:13:33 (Show Source): You can put this solution on YOUR website! How long would it take to drive 17000 miles at 55 mph? --------- d = r*t t = d/r

Graphs/743769: Hi I was wondering. I need help with my help with my math hw. I'm have to solve a problem. Solve each equation using substitution. Y =4/3x-2. Y=2/3x 1 solutions Answer 453045 by Alan3354(30959)   on 2013-05-01 07:17:25 (Show Source): You can put this solution on YOUR website! Solve each equation using substitution. Y =4/3x-2. Y=2/3x ---------- Sub for y (4/3)x - 2 = (2/3)x Multiply by 3 4x - 6 = 2x 2x = 6 x = 3 ---- y = 2

Length-and-distance/743681: Would a watch weigh 60 mg or 60g 1 solutions Answer 453019 by Alan3354(30959)   on 2013-04-30 22:48:30 (Show Source): You can put this solution on YOUR website! Would a watch weigh 60 mg or 60g --------------- 60 grams. =~ 2.11 ounces

Travel_Word_Problems/743607: If a car is going 67 miles per hour how far did he get in 5 hours and 14.4 minutes? Answer in miles please. 1 solutions Answer 453007 by Alan3354(30959)   on 2013-04-30 20:43:08 (Show Source): You can put this solution on YOUR website! If a car is going 67 miles per hour how far did he get in 5 hours and 14.4 minutes? Answer in miles please. -------------- 5 hr 14.4 mins = 5.24 hours --- d = r*t

Surface-area/743497: Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi. 1. radius of 60 m (1 point) 3,600pi cm2 7,200pi cm2 14,400pi cm2 1,800pi cm2 1 solutions Answer 452961 by Alan3354(30959)   on 2013-04-30 18:10:29 (Show Source): You can put this solution on YOUR website! Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi. 1. radius of 60 m (1 point) 3,600pi cm2 7,200pi cm2 14,400pi cm2 1,800pi cm2 ----------------- r = 60 meters SA = 14400*pi sq meters = 144,000,000 sq cm None of the above

Linear-equations/743583: Please help me solve this word problem: Joe is a place kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal scored 3 points and each point after a touchdown scored 1 point for a total of 70 points. How many field goals did Joe kick last season? This is what I have but I'm not sure what step to do next or if I am even setting up the equation correctly. g= field goals t= points after touchdown g + t= 38 3g + 1t= 70 1 solutions Answer 452959 by Alan3354(30959)   on 2013-04-30 18:05:19 (Show Source): You can put this solution on YOUR website! Joe is a place kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal scored 3 points and each point after a touchdown scored 1 point for a total of 70 points. How many field goals did Joe kick last season? This is what I have but I'm not sure what step to do next or if I am even setting up the equation correctly. g= field goals t= points after touchdown g + t= 38 3g + 1t= 70 -------------- It's exactly right. Solve the system of equations. g + t= 38 3g + t= 70 -------------- Subtract -2g = -32 g = 16 field goals ---- t = 38 - g t = 22 PAT's

Geometry_Word_Problems/743556: a plane intersects a triangular pyramid parallel to its base as shown below. Describe the resulting cross-section created by the intersection. 1 solutions Answer 452957 by Alan3354(30959)   on 2013-04-30 18:01:30 (Show Source): You can put this solution on YOUR website! a plane intersects a triangular pyramid parallel to its base as shown below. Describe the resulting cross-section created by the intersection. ---------- Shown below. How far below?

test/743570: use an augmented matrix to solve each system of equations x+5y=-7 2x-y=8 1 solutions Answer 452956 by Alan3354(30959)   on 2013-04-30 18:00:39 (Show Source): You can put this solution on YOUR website! Check the recent solved problems.

test/743572: I need to study for cst. 1 solutions Answer 452955 by Alan3354(30959)   on 2013-04-30 18:00:02 (Show Source): You can put this solution on YOUR website! I need to study for cst. ---------------- Ok, go ahead.

test/743574: use an augmented matrix to solve each system of equations -x=-3 2x+6y=0 1 solutions Answer 452954 by Alan3354(30959)   on 2013-04-30 17:55:13 (Show Source): You can put this solution on YOUR website! -x=-3 2x+6y=0 ---- -x = 0y = -3 2x + 6y = 0 =================== Do it like this one. --- use an augmented matrix to solve each system of equations -x+y=9 -4x+y=6 ------------- |-1 +1 -9| |-4 +1 -6| ----------------- Det = -1 - (-4) = 3 ----- x*Det = -6 - (-9) = 3 x = 3/Det x = 1 ----------- -y/Det = 6 - 36 = -30 y = 10

Travel_Word_Problems/743582: if a car can go 45 miles in 6 seconds what is the speed in 9 seconds? 1 solutions Answer 452953 by Alan3354(30959)   on 2013-04-30 17:53:25 (Show Source): You can put this solution on YOUR website! if a car can go 45 miles in 6 seconds what is the speed in 9 seconds? ---------------- The question makes no sense.

test/743581: use an augmented matrix to solve each system of equations 2y=10 6x+y=-7 1 solutions Answer 452950 by Alan3354(30959)   on 2013-04-30 17:50:35 (Show Source): You can put this solution on YOUR website! 2y=10 6x+y=-7 ---------- 0x +2y=10 6x + y=-7 =================== Do it like this one. --- use an augmented matrix to solve each system of equations -x+y=9 -4x+y=6 ------------- |-1 +1 -9| |-4 +1 -6| ----------------- Det = -1 - (-4) = 3 ----- x*Det = -6 - (-9) = 3 x = 3/Det x = 1 ----------- -y/Det = 6 - 36 = -30 y = 10

test/743573: use an augmented matrix to solve each system of equations 2x-2y=6 x-2y=-1 1 solutions Answer 452947 by Alan3354(30959)   on 2013-04-30 17:48:01 (Show Source): You can put this solution on YOUR website! Do it like this one. --- use an augmented matrix to solve each system of equations -x+y=9 -4x+y=6 ------------- |-1 +1 -9| |-4 +1 -6| ----------------- Det = -1 - (-4) = 3 ----- x*Det = -6 - (-9) = 3 x = 3/Det x = 1 ----------- -y/Det = 6 - 36 = -30 y = 10

test/743578: use an augmented matrix to solve each system of equations -2x+2y=-8 3x-y=4 1 solutions Answer 452946 by Alan3354(30959)   on 2013-04-30 17:47:38 (Show Source): You can put this solution on YOUR website! Do it like this one. --- use an augmented matrix to solve each system of equations -x+y=9 -4x+y=6 ------------- |-1 +1 -9| |-4 +1 -6| ----------------- Det = -1 - (-4) = 3 ----- x*Det = -6 - (-9) = 3 x = 3/Det x = 1 ----------- -y/Det = 6 - 36 = -30 y = 10

test/743576: use an augmented matrix to solve each system of equations -x+y=9 -4x+y=6 1 solutions Answer 452945 by Alan3354(30959)   on 2013-04-30 17:45:53 (Show Source): You can put this solution on YOUR website! use an augmented matrix to solve each system of equations -x+y=9 -4x+y=6 ------------- |-1 +1 -9| |-4 +1 -6| ----------------- Det = -1 - (-4) = 3 ----- x*Det = -6 - (-9) = 3 x = 3/Det x = 1 ----------- -y/Det = 6 - 36 = -30 y = 10

Travel_Word_Problems/743533: If 3 trucks left the yard at 10:00 am, which one would arrive at its destination first 1 solutions Answer 452924 by Alan3354(30959)   on 2013-04-30 16:14:44 (Show Source): You can put this solution on YOUR website! If 3 trucks left the yard at 10:00 am, which one would arrive at its destination first -------------------- If they have the same destination, the one with the greatest average speed. If they don't, I don't know.

Geometry_Word_Problems/743513: A man wants to plant trees in his rectangular field of 186m by 54m from the border. If the distance between two trees is 6m, Find the number of trees in that field 1 solutions Answer 452922 by Alan3354(30959)   on 2013-04-30 16:03:44 (Show Source): You can put this solution on YOUR website! A man wants to plant trees in his rectangular field of 186m by 54m from the border. If the distance between two trees is 6m, Find the number of trees in that field ------------ The trees along the short side will be at 0, 6, 12, 18, 24, 30, 36, 42, 48 & 54 meters --> 10 rows The long side will have 32 rows (186/6 + 1) 10*32 = 320 trees.

Quadratic_Equations/743526: z^4-9=0 I need four answers! 1 solutions Answer 452918 by Alan3354(30959)   on 2013-04-30 15:36:30 (Show Source): You can put this solution on YOUR website! z^4-9=0 --------- z^4 = 9 z^2 = 3 Ans 1 z = sqrt(3) Ans 2 z = -sqrt(3) ------------------- z^2 = -3 Ans 3 z = i*sqrt(3) Ans 4 z = -i*sqrt(3)

Rectangles/743439: 2. You have an order for an 8 gallon aquarium that is 20 inches long and 10.5 inches wide. How deep should the aquarium be? this is what I know.... Common aquarium holds 10 gallons. I know volume of a right rectangular tank is found by multiplying the length of the tank times the width times the height, or V=lwh. I know 231 cubic inches are equal to 1 gallon. Can you help me understand how to solve this? I have work due on stuff similar. Thanks! 1 solutions Answer 452901 by Alan3354(30959)   on 2013-04-30 12:03:04 (Show Source): You can put this solution on YOUR website! You have an order for an 8 gallon aquarium that is 20 inches long and 10.5 inches wide. How deep should the aquarium be? this is what I know.... Common aquarium holds 10 gallons. I know volume of a right rectangular tank is found by multiplying the length of the tank times the width times the height, or V=lwh. I know 231 cubic inches are equal to 1 gallon. ----------------- What's common is not relevant. V = lwh & 1 gallon = 231 cu inches is all you need to know. ---- V = 20*10.5*h = 8 gal*231 cubic in/gallon 210h = 1848 h = 1848/210 h =~ 8.8 inches

Miscellaneous_Word_Problems/743483: determine if the graphs of the given equations are parallel y=3x+3 5y+3x+6 1 solutions Answer 452899 by Alan3354(30959)   on 2013-04-30 11:57:31 (Show Source): You can put this solution on YOUR website! determine if the graphs of the given equations are parallel y=3x+3 5y+3x+6 *** no equal sign. -------- There's nowhere an = in the 2nd "equation" will make them parallel.

Trigonometry-basics/743444: Solve this equation graphically on the interval [0, 2π]. Sketch the graph and list the solutions. sin x – 1 = cos x sinx - 1 = cosx <=> sinx - cosx = 1 <=> sqrt(2)sin(x - π/4) = 1 <=> sin(x - π/4) = 1/√2 <=> x - π/4 = π/4 + k2π ( k of Z ) <=> x - π/4 = π - π/4 + k2π <=> x = k2π <=> x = π + k2π In [0 ; 2π ] => x = 0 ; π ; 2π I have this so far but I don't know if it's correct and I don't know how to sketch the graph, please help! 1 solutions Answer 452898 by Alan3354(30959)   on 2013-04-30 11:55:59 (Show Source): You can put this solution on YOUR website! Solve this equation graphically on the interval [0, 2π]. Sketch the graph and list the solutions. sin x – 1 = cos x ------------------- Says to solve it graphically. y = sin(x) - cos(x) - 1 -- dl the FREE graph software at http://www.padowan.dk ------ Use Ins, enter sin(x) - cos(x) - 1 Set the x-axis to radians.

Trigonometry-basics/743475: How do I verify the trig identity? (1+sinx)^2/cos^2(x) = (1 + sinx)/ (1-sinx ) 1 solutions Answer 452895 by Alan3354(30959)   on 2013-04-30 11:48:31 (Show Source): You can put this solution on YOUR website! verify the trig identity? (1+sinx)^2/cosx^2 = 1 + sinx/ 1-sinx ------------- (1+sinx)^2/(1 - sin^2) = 1 + sinx/ 1-sinx (1+sinx)^2/((1 - sin)*(1 + sin)) = 1 + sinx/ 1-sinx (1+sinx)^2/(1 + sin)) = 1 + sinx 1 + sin = 1 + sin --------------------- There's no procedure, no answer to "How do I... ?" You try things. Having someone do it for you doesn't accomplish anything.

Travel_Word_Problems/743471: A man walk 3 km in 1 hour.find the distance he can travel in 18 seconds. 1 solutions Answer 452891 by Alan3354(30959)   on 2013-04-30 11:36:47 (Show Source): You can put this solution on YOUR website! A man walk 3 km in 1 hour.find the distance he can travel in 18 seconds. ------------------ 1 hour = 3600 seconds ---- d = 3 km/hr * 1 hr/3600 sec * 18 sec

Trigonometry-basics/743460: How do I verify the trigonometric identity? Cotx over 1+cotx^2 = sinxcosx I took the numerator of the fraction (cotx) and changed it to cosx/sinx and then I took the denominator (1+cotx^2) and changed it to cscx^2 and then changed it again to 1/sinx^2. So my problem looks like (cosx/sinx)/(1/sinx^2). Is that right? I don't know where to go from there. Can you please go step by step so I can see what you did? Thank you. 1 solutions Answer 452886 by Alan3354(30959)   on 2013-04-30 11:12:09 (Show Source): You can put this solution on YOUR website! How do I verify the trigonometric identity? Cotx over 1+cotx^2 = sinxcosx I took the numerator of the fraction (cotx) and changed it to cosx/sinx and then I took the denominator (1+cotx^2) and changed it to cscx^2 and then changed it again to 1/sinx^2. So my problem looks like (cosx/sinx)/(1/sinx^2). Is that right? I don't know where to go from there. ===================== cot/(1+cotx^2) = sinxcosx cot/csc^2 = sin*cos --- (cos/sin)/(1/sin^2) = sin*cos cos*sin^2/sin = sin*cos cos*sin = cos*sin

test/743456: 2a+3b=c 1 solutions Answer 452882 by Alan3354(30959)   on 2013-04-30 10:38:49 (Show Source): You can put this solution on YOUR website! 2a+3b=c ----------- Thx for letting us know. Do you have a question?

Linear-equations/743446: What is the slope of 4a+2 1 solutions Answer 452875 by Alan3354(30959)   on 2013-04-30 10:11:15 (Show Source): You can put this solution on YOUR website! What is the slope of 4a+2 ------------------- Lines have slopes. You have to have at least 2 variables to generate a line.

Travel_Word_Problems/743448: Ben, who is a long distance runner, runs at an average velocity of 8 miles per hour. Two hours after Ben leaves your house, you leave in your car and follow the same route at an average velocity of 40 miles per hour. How long will it be before you catch up to Tanya? (Be sure to show both parametric equations in the solution to your problem.) If you are able to do so, use a simulation of the two motions using your graphing calculator to verify your answer. Copy and paste the screen capture into your digital tablet image file. (If you are not able to include the simulation, it is ok, but you need to give this a try.) 1 solutions Answer 452874 by Alan3354(30959)   on 2013-04-30 10:08:19 (Show Source): You can put this solution on YOUR website! Ben, who is a long distance runner, runs at an average velocity of 8 miles per hour. Two hours after Ben leaves your house, you leave in your car and follow the same route at an average velocity of 40 miles per hour. How long will it be before you catch up to Tanya? (Be sure to show both parametric equations in the solution to your problem.) If you are able to do so, use a simulation of the two motions using your graphing calculator to verify your answer. Copy and paste the screen capture into your digital tablet image file. (If you are not able to include the simulation, it is ok, but you need to give this a try.) ====================== In 2 hours, he's 16 miles away (2*8) Your speed relative to him is 32 mi/hr (40 - 8) --- 16/32 = 1/2 hour ----------------------- I don't think you need to make this a doctoral thesis.

Travel_Word_Problems/743428: A car travels at an average speed of 48 miles per hour. How many miles does it travel in 5 hours and 15 minutes? 1 solutions Answer 452866 by Alan3354(30959)   on 2013-04-30 09:38:41 (Show Source): You can put this solution on YOUR website! A car travels at an average speed of 48 miles per hour. How many miles does it travel in 5 hours and 15 minutes? -------------- 5:15 = 5.25 hours d = r*t

Trigonometry-basics/743415: What is the six values of trig functions for the angle in standard position determined by each point. (-8,6) 1 solutions Answer 452864 by Alan3354(30959)   on 2013-04-30 09:00:13 (Show Source): You can put this solution on YOUR website! What is the six values of trig functions for the angle in standard position determined by each point. (-8,6) --------------- x = -8 y = 6 r = sqrt(x^2 + y^2) = 10 ----- sine = y/r cos = x/r tan = x/y ---- cot = 1/tan sec = 1/cos csc = 1/sin

Geometry_Word_Problems/743297: Multiply 120 inches by 1 foot per 12 inches 1 solutions Answer 452838 by Alan3354(30959)   on 2013-04-29 22:28:28 (Show Source): You can put this solution on YOUR website! Multiply 120 inches by 1 foot per 12 inches ------------- I don't know what that means.

logarithm/743295: solve the logarithmic equation: 4+lnx=5 1 solutions Answer 452837 by Alan3354(30959)   on 2013-04-29 22:26:43 (Show Source): You can put this solution on YOUR website! solve the logarithmic equation: 4+lnx=5 ----- ln(x) = 1 x = e^1 x = e