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Recent problems solved by 'Alan3354'

Alan3354 answered: 30973 problems
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Square-cubic-other-roots/264922: hello, i already did this problem but i feel like its wrong so can you please check it for me?? here it is: 2 squareroot(25/16) my answer was: 5/4 i also had another question: i dont no how to solve square roots with letters instead of numbers for example: square root(a^2/b^5) your help is appreciated THANK YOU!!!! 1 solutions Answer 194918 by Alan3354(30993)   on 2010-02-03 08:40:40 (Show Source): You can put this solution on YOUR website! 2 squareroot(25/16) my answer was: 5/4 = 2*(5/4) = 10/8 You didn't multiply by the 2 Also, the sqrt can be -5/4, so = -10/8 ------- There are 2 possible square roots, 5/4, and -5/4. ------- i also had another question: i dont no how to solve square roots with letters instead of numbers for example: square root(a^2/b^5) = = It's not good to have a fraction in the radical, so more work is usually done. = = =

Age_Word_Problems/264924: A 27-year old mother has a 5-year old daughter. In how many years will the mother be three times as old as her daughter? A.4 B.6 C.9 D. 15 E.None of these 1 solutions Answer 194917 by Alan3354(30993)   on 2010-02-03 08:27:36 (Show Source): You can put this solution on YOUR website! The age difference is 22. The integers will be 3:1, so 22 is 2 times the age of the daughter, --> the daughter will be 11. ----------------- -->B, in 6 years.

Equations/264773: Find three consecutive odd integers whose sums if 141. use the 5 step method. 1 solutions Answer 194859 by Alan3354(30993)   on 2010-02-02 21:25:11 (Show Source): You can put this solution on YOUR website! 141/3 = 47, which is the middle number. --> 45, 47, 49 I don't know what the 5 steps are, but they don't seem to be necessary.

Travel_Word_Problems/264770: At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.80 m/s^2. At the same instant, a truck, traveling with a constant speed of 14.7 m/s, overtakes and passes the automobile. How far beyond its starting point does the automobile overtake the truck? How fast is the automobile traveling when it overtakes the truck? 1 solutions Answer 194857 by Alan3354(30993)   on 2010-02-02 21:19:34 (Show Source): You can put this solution on YOUR website! At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.80 m/s^2. At the same instant, a truck, traveling with a constant speed of 14.7 m/s, overtakes and passes the automobile. How far beyond its starting point does the automobile overtake the truck? How fast is the automobile traveling when it overtakes the truck? ------------------------ For the car, s = (at^2)/2 = 3.92t^2 For the truck, s = 14.7t -------------- When the distances are equal 14.7t = 3.92t^2 3.92t^t - 14.7t = 0 t = 0 (at the light) t = 14.7/3.92 = 3.75 seconds At 3.75 seconds, the auto catches up to the truck. ------------------- s = 14.7*3.75 = 55.125 meters from the light. -------- Auto speed = 3.92*3.75 = 14.7 m/sec when it overtakes the truck

Problems-with-consecutive-odd-even-integers/264682: the sum of two consecutive integers is 19. what are the integers? 1 solutions Answer 194833 by Alan3354(30993)   on 2010-02-02 20:18:03 (Show Source): You can put this solution on YOUR website! 19/2 = 9.5, in the middle Can you find it from that?

Surface-area/264703: Draw the net and find the total surface area of the cylinder 1 solutions Answer 194830 by Alan3354(30993)   on 2010-02-02 20:16:14 (Show Source): You can put this solution on YOUR website! What net? What cylinder?

Numbers_Word_Problems/264707: 5 times the sum of a number and 7 is 30 1 solutions Answer 194828 by Alan3354(30993)   on 2010-02-02 20:14:55 (Show Source): You can put this solution on YOUR website! Is it 5n + 7 = 30 ? Or 5*(n+7) = 30 ?

Pythagorean-theorem/264720: Find the side or a triangle with a hypotenuse of 11, and one side of 9. 1 solutions Answer 194827 by Alan3354(30993)   on 2010-02-02 20:13:29 (Show Source): You can put this solution on YOUR website! Not enough info. To "solve" a triangle, at least 3 elements have to be given, and at least one of them a side.

Radicals/264666: Please show how to work out: 6 the sq root of 20 plus 8 the sq root of 5 minus 5 the sq root of 45 1 solutions Answer 194824 by Alan3354(30993)   on 2010-02-02 20:01:18 (Show Source): You can put this solution on YOUR website! -------------------------------- = =

Linear-systems/264663: Solve each System Of linear equations. {y=2x-3} {y-2x= -3} we are solving Special systems. 1 solutions Answer 194822 by Alan3354(30993)   on 2010-02-02 19:57:41 (Show Source): You can put this solution on YOUR website! That's the same eqn twice --> infinite solutions. No unique solution.

Linear-systems/264708: I can't figure out how to solve this word problem: Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip only averaged 112km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air. 1 solutions Answer 194821 by Alan3354(30993)   on 2010-02-02 19:52:13 (Show Source): You can put this solution on YOUR website! The "speed in still air" is called the airspeed. It's the average of the 2 speeds given, which are called groundspeeds. ------------- Once you find the airspeed, the windspeed is the difference between the airspeed and the groundspeed. ------------------ Airplanes don't use km/hr, they use knots. 1 knot = 1 nautical mile per hour.

Quadratic-relations-and-conic-sections/264712: What is the equation for 16x^2 + 4y^2=64 1 solutions Answer 194820 by Alan3354(30993)   on 2010-02-02 19:49:13 (Show Source): You can put this solution on YOUR website! That is an equation ??? You can divide by 4 4x^2 + y^2 = 16

Linear_Equations_And_Systems_Word_Problems/264633: solve this problem using a concrete, hands-on method? and using an algebraic method? and create a word problem for the linear equations? x+y=15 3x+3y=45 1 solutions Answer 194791 by Alan3354(30993)   on 2010-02-02 17:13:00 (Show Source): You can put this solution on YOUR website! Maybe, but this is the same equation twice. The 2nd is 3x the 1st.

Numbers_Word_Problems/264630: the sum of two consecutive integers is 89. Find the largest of these integers 1 solutions Answer 194789 by Alan3354(30993)   on 2010-02-02 17:11:56 (Show Source): You can put this solution on YOUR website! 89/2 = 44.5 Can you take it from there?

Angles/264574: solve for x m of angle aob=28, m of angle boc =3x-2, m of angle aod=6x 1 solutions Answer 194761 by Alan3354(30993)   on 2010-02-02 15:48:42 (Show Source): You can put this solution on YOUR website! How many angles are there? I see a, b, c, d and o Is this a polygon?

Numbers_Word_Problems/264583: the sum of three consecutive odd integers is 561. Find the numbers. 1 solutions Answer 194759 by Alan3354(30993)   on 2010-02-02 15:45:30 (Show Source): You can put this solution on YOUR website! 561/3 = 187 That's the middle number.

Quadratic-relations-and-conic-sections/264562: if a right circular cone intersects a plane that runs perpendicular to the cone's axis (but does not pass through its vertex) what will the curve be? 1 solutions Answer 194757 by Alan3354(30993)   on 2010-02-02 15:01:40 (Show Source): You can put this solution on YOUR website! A circle. ----------- BTW, it should say normal to the plane, not perpendicular.

Circles/264554: the line y=0 is a tangent to the circle (x-8)^2 + (y-a)^2=16. find the value of a. thank you so much!! 1 solutions Answer 194756 by Alan3354(30993)   on 2010-02-02 15:00:22 (Show Source): You can put this solution on YOUR website! the line y=0 is a tangent to the circle (x-8)^2 + (y-a)^2=16. find the value of a. ----------------------- y=0 is the x-axis. The radius of the circle is 4 (the square root of 16). The center has to be 4 units from the x-axis, so a = 4 or a = -4

Exponents-negative-and-fractional/264450: What is the equation using factoring techniques. (x+5)^2-16=0 1 solutions Answer 194755 by Alan3354(30993)   on 2010-02-02 14:45:32 (Show Source): You can put this solution on YOUR website! The equation is (x+5)^2-16=0 -------------- If you want to solve for x by factoring: It's a difference of 2 squares, (x+5)^2 and 4^2 (x+9)*(x+1) = 0 x = -9 x = -1

Linear-equations/264551: 4x+y=12 1 solutions Answer 194754 by Alan3354(30993)   on 2010-02-02 14:35:13 (Show Source): You can put this solution on YOUR website! Do you have a question?

Circles/264546: the line y=2x-2 meets the circle (x-2)^2 + (y-2)^2 =20 at A and B. coordinates of A and B are, (0,-2) and (4,6). show that AB is a diameter of the circle. thank you would be so helpful if you could help, showing how you got the answer! thankyou 1 solutions Answer 194753 by Alan3354(30993)   on 2010-02-02 14:34:43 (Show Source): You can put this solution on YOUR website! If you accept that they intersect at A and B, then all you need to show is that the distance from A to B is the diameter. so --------------- The square of the distance from A to B is = = 80 ------ It's the same length as the diameter, so it's thru the center of the circle. --------------- It was stated that A and B are on the circle and the line, so no proof of that was done.

Miscellaneous_Word_Problems/264494: please tell me if this is correct. solve the proportion:2/11= 24/3x-4 i have 66 is this correct? 1 solutions Answer 194751 by Alan3354(30993)   on 2010-02-02 14:26:58 (Show Source): You can put this solution on YOUR website! solve the proportion:2/11= 24/3x-4 Cross multiply 2(3x-4) = 11*24 6x-8 = 264 6x = 272 x = 136/3

Graphs/264439: x+4=6 4x-y=4 1 solutions Answer 194749 by Alan3354(30993)   on 2010-02-02 14:18:05 (Show Source): You can put this solution on YOUR website! x+4=6 4x-y=4 ----------- x+4 = 6 x = 2 ------ 4*2-y = 4 y = 4

Equations/264528: A mortar shell is s feet above the ground after t seconds, where s = f(t) = -16t2 + 512t + 64. Find the height of the shell 24 seconds after it is fired. (Simplify the answer as much as possible.) s= ? ft. 1 solutions Answer 194747 by Alan3354(30993)   on 2010-02-02 14:07:58 (Show Source): You can put this solution on YOUR website! s = f(t) = -16t2 + 512t + 64 ------------ Sub 24 for t s = -16*24^2 + 512*24 + 64 Add those up.

Circles/264535: the line y=2x-8 meets the coordinate axes at A and B. the line AB is a diameter of the circle. find the equation of the line. please may you explain how you get to the answer aswell, thankyou! 1 solutions Answer 194745 by Alan3354(30993)   on 2010-02-02 14:03:02 (Show Source): You can put this solution on YOUR website! the line y=2x-8 meets the coordinate axes at A and B. the line AB is a diameter of the circle. find the equation of the line. --------------- The line crosses the x-axis at y= 0, --> (4,0). The line crosses the y-axis at x-0, --> (0,-8) Those are the 2 points. ----------------- The midpoint is the center of the circle. To find the midpoint, get the average of x and y separately. x: (0+4)/2 = 2 y: (0-8)/2 = -4 --> M (2,-4) ---------- The distance from M to A or B is the radius. -------------------- -->

Probability-and-statistics/264537: How do you estimate the probability of success if a single piece of candy is drawn from a bag at random? 1 solutions Answer 194743 by Alan3354(30993)   on 2010-02-02 13:53:41 (Show Source): You can put this solution on YOUR website! It depends on your definition of success.

Mixture_Word_Problems/264470: A coffee shop mixes Brazilian coffee worth $5 per kilogram with Turkish coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of the Turkish coffee should be used to make 300 kg of the mixture? 1 solutions Answer 194703 by Alan3354(30993)   on 2010-02-02 12:03:58 (Show Source): You can put this solution on YOUR website! A coffee shop mixes Brazilian coffee worth $5 per kilogram with Turkish coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of the Turkish coffee should be used to make 300 kg of the mixture? -------------- B = amount of Brazilian coffee 5B + 8(300-B) = 7*300 5B + 2400 - 8B = 2100 B = 100 kg of Brazilian --> 200 kg of Turkish

Linear-equations/264471: What is y=5x+4, (0,0) 1 solutions Answer 194699 by Alan3354(30993)   on 2010-02-02 12:00:14 (Show Source): You can put this solution on YOUR website! It's a straight line, and a point.

Polynomials-and-rational-expressions/264467: Simplify: sqrt(12)sqrt(15) 1 solutions Answer 194697 by Alan3354(30993)   on 2010-02-02 11:59:35 (Show Source): You can put this solution on YOUR website! = = =

Travel_Word_Problems/264448: On a distance problem... an answer goes from 2/3 hours to 40 minutes. This is for the final answer. How do they get from 2/3 to 40? 1 solutions Answer 194687 by Alan3354(30993)   on 2010-02-02 11:25:26 (Show Source): You can put this solution on YOUR website! 1 hour = 60 minutes 2/3 hours = 40 minutes

Linear-systems/264432: how do i slove this system 3x+5y=-3 10y-2z=2 x=-z 1 solutions Answer 194686 by Alan3354(30993)   on 2010-02-02 11:12:52 (Show Source): You can put this solution on YOUR website! how do i slove this system 3x+5y=-3 10y-2z=2 x=-z ------------ Sub -x for z in the 2nd eqn, then it's a 2 eqn system. 3x+5y=-3 --> 6x+10y=-6 10y+2x=2 -------- 6x+10y=-6 2x+10y=2 -------- Subtract 4x = -8 -------- Take it from there.