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 Rectangles/676834: The perimeter of a rectangle is 152cm. The width is 35cm. Find the length. 1 solutions Answer 420618 by Alan3354(30993)   on 2012-11-06 20:51:38 (Show Source): You can put this solution on YOUR website!The perimeter of a rectangle is 152cm. The width is 35cm. Find the length. -------------- P = 2W + 2L 152 = 2*35 + 2L = 70 + 2L 2L = 82 L = 41 cm
 Polynomials-and-rational-expressions/676943: 9a^4-b^2=? 25a^2-30a^2+9=? 36x^2+60x+25=? factor x^10-y^2=? x^2-9=? 4n^2+28n+49=? 36y^2-1=? 1 solutions Answer 420616 by Alan3354(30993)   on 2012-11-06 20:48:09 (Show Source): You can put this solution on YOUR website!9a^4-b^2 It's a difference of 2 squares -------------------- 25a^2-30a^2+9 The 1st and last terms are squares. Try that first. ---------------------- 36x^2+60x+25=? The 1st and last terms are squares. Try that first. --------------------- factor x^10-y^2=? Same as #1 ------------------ x^2-9 Same as #1 ----------------- 4n^2+28n+49 The 1st and last terms are squares. Try that first. -------------------- 36y^2-1=? Same as #1
 Travel_Word_Problems/676743: what is the mass of a 100cm3 cube of copper(p=8.96g/cm31 solutions Answer 420492 by Alan3354(30993)   on 2012-11-06 16:19:12 (Show Source): You can put this solution on YOUR website!what is the mass of a 100cm3 cube of copper(p=8.96g/cm3 --------------- 100 cm^3 * 8.96 gm/cm^3 = 896 grams
 Travel_Word_Problems/676678: if an object is thrown off a tall building its height can be represented by the polynomial h=-16tsquere+6t+300 where t is seconds after the object is thrown and h is feet above the ground. how high is the building?1 solutions Answer 420460 by Alan3354(30993)   on 2012-11-06 14:36:28 (Show Source): You can put this solution on YOUR website!if an object is thrown off a tall building its height can be represented by the polynomial h=-16tsquere+6t+300 where t is seconds after the object is thrown and h is feet above the ground. how high is the building? ------------------ h(0) = 300 feet
 Linear-systems/676683: Can you help me with this question? I need it answer by today. For what values of k is the system of equations independent? 4x + y = 4 kx + y = 6 Write the first equation in slope-intercept form. Subtract 4x from each side of the equation 4x + y = 4. y = + 4 art (b) x + 2y = 5 kx + 3y = 3 Part (c) 2x + ky = 7 x + 2y = 4 1 solutions Answer 420457 by Alan3354(30993)   on 2012-11-06 14:15:14 (Show Source): You can put this solution on YOUR website!For what values of k is the system of equations independent? 4x + y = 4 kx + y = 6 The 2 eqns are independent for all values of k. If k = 4, they're inconsistent. -------------------------------- Write the first equation in slope-intercept form. Subtract 4x from each side of the equation 4x + y = 4. y = + 4 ***************** y = 4 - 4x Or y = -4x + 4 is the form y = mx + b ==================================== art (b) x + 2y = 5 kx + 3y = 3 Same as the 1st question, but if k = 1.5 the eqns are inconsistent. -------------------------- x + 2y = 5 2y = -x + 5 y = (-1/2)x + 5/2 ====================== Part (c) 2x + ky = 7 x + 2y = 4 Same, if k = 4 --> inconsistent 2x + ky = 7 ky = -2x + 7 y = (-2/k)x + 7/k
 Problems-with-consecutive-odd-even-integers/676675: the lengths of the sides of a triangle are consecutive even integers. The perimeter is 42 meters. find the length of all the sides.1 solutions Answer 420454 by Alan3354(30993)   on 2012-11-06 13:40:00 (Show Source): You can put this solution on YOUR website!the lengths of the sides of a triangle are consecutive even integers. The perimeter is 42 meters. find the length of all the sides. ----------- (s-2) + s + (s+2) = 42 s = 14 --> 12, 14 & 16 =================== Or, 42/3 = 14, the middle number
 Geometry_Word_Problems/676670: 2 vertical telephone poles are 50 ft apart. One is 20 ft tall while the other is 60 ft tall. A blue laser shines from the top of shorter pole to the base of the taller pole and a red laser shines from the top of the taller pole to the base base of the shorter pole. What is the height of the point where the laser beams meet? a) 15 ft b) 18 ft c) 20 ft d) 21 ft e) None of the above1 solutions Answer 420453 by Alan3354(30993)   on 2012-11-06 13:38:33 (Show Source): You can put this solution on YOUR website!2 vertical telephone poles are 50 ft apart. One is 20 ft tall while the other is 60 ft tall. A blue laser shines from the top of shorter pole to the base of the taller pole and a red laser shines from the top of the taller pole to the base base of the shorter pole. What is the height of the point where the laser beams meet? ------------------- The height of the point is similar to parallel resistors (strangely enough). h = 20*60/(20+60) h = 15 feet ------------------- It can be done geometrically, but it's not necessary.
 Linear-systems/676665: Can somebody help me with this question? I need it answer by today. A financial manager invested 20% of a client's money in bonds paying 9% annual simple interest, 35% in an 8% simple interest account, and the remainder in 9.5% corporate bonds. Find the amount invested in each if the total annual interest earned is \$4,970. at 9% \$ at 8% \$ at 9.5% \$ 1 solutions Answer 420452 by Alan3354(30993)   on 2012-11-06 13:33:51 (Show Source): You can put this solution on YOUR website!A financial manager invested 20% of a client's money in bonds paying 9% annual simple interest, 35% in an 8% simple interest account, and the remainder in 9.5% corporate bonds. Find the amount invested in each if the total annual interest earned is \$4,970. The remainder = 45% A = total amount ----------------- 0.2*A*0.09 + 0.35*A*0.08 + 0.45*A*0.095 = 4970 A*(0.018 + 0.028 + 0.04275) = A*0.08875 = 4970 A = 4970/0.08875 A = \$56000
 Numeric_Fractions/676586: (10-2)4+8=1 solutions Answer 420443 by Alan3354(30993)   on 2012-11-06 12:59:12 (Show Source): You can put this solution on YOUR website!(10-2)4+8= ------------ Eliminate the parentheses first. = 8*4 + 8 = 32 + 8 = 40 ================ Look up PEMDAS on google
 Exponential-and-logarithmic-functions/676644: Log base5 (1/25)=-2 Equivalent expression in exponential form?1 solutions Answer 420442 by Alan3354(30993)   on 2012-11-06 12:56:58 (Show Source): You can put this solution on YOUR website!Log base5 (1/25)=-2 Equivalent expression in exponential form? ------------ 5 is the base, so it's raised to a power. The log is the exponent. -----------
 test/676418: Psquared-2p-631 solutions Answer 420329 by Alan3354(30993)   on 2012-11-05 20:45:00 (Show Source): You can put this solution on YOUR website!Psquared-2p-63 ------------ What about it?
 Quadratic_Equations/676408: solve the equation 2r^-3r-2=01 solutions Answer 420328 by Alan3354(30993)   on 2012-11-05 20:44:14 (Show Source): You can put this solution on YOUR website!2r^-3r-2=0 r = -1, +1
 Graphs/676224: i am lost. i have a story problem. 5x+12y=240. x paperbacks are \$5 each and y hardback books are \$12 each. i came up with 5x24+12x10=240. i dont think it is correct. 1 solutions Answer 420230 by Alan3354(30993)   on 2012-11-05 15:24:18 (Show Source): You can put this solution on YOUR website!i am lost. i have a story problem. 5x+12y=240. x paperbacks are \$5 each and y hardback books are \$12 each. i came up with 5x24+12x10=240. i dont think it is correct. --------------- You didn't say what the problem is.
 Inverses/676226: 2X3-6 is what1 solutions Answer 420229 by Alan3354(30993)   on 2012-11-05 15:23:07 (Show Source): You can put this solution on YOUR website!2X3-6 is what ----------- A binomial
 Polynomials-and-rational-expressions/676212: how to solve x^6-9x^4-16x^2+144=01 solutions Answer 420221 by Alan3354(30993)   on 2012-11-05 14:30:41 (Show Source): You can put this solution on YOUR website!x^6-9x^4-16x^2+144=0 ===================
 Polynomials-and-rational-expressions/676177: Approximate the real zeros of f(x)=3x^+x^-1 to the nearest tenth. (The 3x has a square root of 4 and the x has a square root of 2!)1 solutions Answer 420198 by Alan3354(30993)   on 2012-11-05 12:40:32 (Show Source): You can put this solution on YOUR website!Approximate the real zeros of f(x)=3x^+x^-1 to the nearest tenth. (The 3x has a square root of 4 and the x has a square root of 2!) ------------ Do you mean ? Or ?
 Polynomials-and-rational-expressions/676162: can you factor x^2-13x+40 1 solutions Answer 420191 by Alan3354(30993)   on 2012-11-05 12:20:44 (Show Source): You can put this solution on YOUR website!can you factor x^2-13x+40 --------------- Yes, I can. Find 2 factors of 40 whose sum is -13. They're both negative, makes it easier.
 Graphs/676151: Okay so he question says to; "Rewrite the equation in slope-intercept form. Then identify the slope and y-intercept of the line." The problem goes as -2x - y = 3 I was able to rearrange it to go to -y = 3 + 2x But, now I have no idea what to do :(1 solutions Answer 420190 by Alan3354(30993)   on 2012-11-05 12:19:10 (Show Source): You can put this solution on YOUR website!Okay so he question says to; "Rewrite the equation in slope-intercept form. Then identify the slope and y-intercept of the line." The problem goes as -2x - y = 3 I was able to rearrange it to go to -y = 3 + 2x But, now I have no idea what to do :( ----------------- You were almost done. -y = 3 + 2x y = -2x - 3 Slope m = -2 y-intercept = -3
 Equations/676163: I have tried to find the equation in standard form 10 times and I get x-2y=15 however the answer is x-2y=-15 and it's driving me crazy. The original point and slope is (-3,6);m=1/2 I used the formula y-y1=m(x-x1). please help1 solutions Answer 420189 by Alan3354(30993)   on 2012-11-05 12:17:18 (Show Source): You can put this solution on YOUR website!The original point and slope is (-3,6);m=1/2 I used the formula y-y1=m(x-x1) -------------- Slope m = 1/2 thru the point (-3,6) Use y = mx + b and the point 6 = (1/2)*(-3) + b b = 15/2 --> y = x/2 + 15/2 2y = x + 15 x - 2y = -15 --------------- Using y-y1=m(x-x1) y - 6 = (1/2)*(x+3) 2y - 12 = x + 3 x - 2y = -15
 Quadratic_Equations/676098: hello sir , could u plz tell me how to solve this: √3xsq+2√x-2√3=0 sq means the 2 made on top because i couldnt make it so i wrote it and sir it is a quadratic equation in which we have to find the discriminant i ve tried and tried but i couldnt understand how to remove the roots so could u plz explain me how to remove the roots and get the discriminant ... thank you1 solutions Answer 420177 by Alan3354(30993)   on 2012-11-05 09:47:17 (Show Source): You can put this solution on YOUR website! Is that what you mean? Click "Show source" to see how to enter problems.
 Geometry_Word_Problems/675932: Find the distance between the lines with the equations y=(2/7)x+4 and y=(2/7)x-21 solutions Answer 420129 by Alan3354(30993)   on 2012-11-04 21:10:00 (Show Source): You can put this solution on YOUR website!Find the distance between the lines with the equations y=(2/7)x+4 and y=(2/7)x-2 ----------------- The distance between the 2 lines on the y-axis = 6 The angle between the x-axis and the lines is the atan of the slope, = atan(2/7) ------ Distance between the 2 lines is 6*cos(atan(2/7)) distane =~ 5.769 units
 Trigonometry-basics/675904: How do you solve 2sin105cos1051 solutions Answer 420121 by Alan3354(30993)   on 2012-11-04 20:43:24 (Show Source): You can put this solution on YOUR website!How do you solve 2sin105cos105 ------------------ Equations are solved, this is not an equation.
 Functions/675840: What is the answer for: f/-3 + 5= 8 ? My son and I are saying we are both right but its impossible. The answer I came up with is -9. Is this correct? My son came up with -1.1 solutions Answer 420119 by Alan3354(30993)   on 2012-11-04 20:41:59 (Show Source): You can put this solution on YOUR website!What is the answer for: f/-3 + 5= 8 ? My son and I are saying we are both right but its impossible. The answer I came up with is -9. Is this correct? My son came up with -1. -------------------- f/-3 + 5= 8 (f/-3) + 5 = 8 f/-3 = 3 f = -9 =============== f/(-3 + 5) = 8 f/2 = 8 f = 16 ============ f/-(3+5) = 8 f/-8 = 8 f = -64 You need to add parentheses to eliminate the ambiguity.
 Quadratic_Equations/675921: Solve equation by using the square root property (x-3)^2-19=01 solutions Answer 420118 by Alan3354(30993)   on 2012-11-04 20:36:16 (Show Source): You can put this solution on YOUR website!Solve equation by using the square root property (x-3)^2-19=0 ================= (x-3)^2 = 19 Take the square root of both sides.
 Inequalities/675837: please help-don't get it 2y/3-3/4=5/12 have to solve begin by rewriting without fraction thnx1 solutions Answer 420079 by Alan3354(30993)   on 2012-11-04 17:50:06 (Show Source): You can put this solution on YOUR website!2y/3-3/4=5/12 ----------------- The biggest number in the denominators is 12. Multiply each term by 12, see what you have.
 Inequalities/675798: my problem is solve and check each equation. Begin your work by rewriting each equation without fractions. x/5-4=-6 WHAT???1 solutions Answer 420062 by Alan3354(30993)   on 2012-11-04 16:20:35 (Show Source): You can put this solution on YOUR website!solve and check each equation. Begin your work by rewriting each equation without fractions. x/5 - 4 = -6 Begin your work by rewriting each equation without fractions. Mupltiply thru by 5 to eliminate fractions. x - 20 = -30 Add 20 -------------- Is that so hard?
 Travel_Word_Problems/675768: Sam leaves for the store on his skateboard at 8 mph. His skateboard breaks when he gets to the store, so he immediately goes home at a speed of 4 mph. What is the round trip distance if it took 2 hours?1 solutions Answer 420061 by Alan3354(30993)   on 2012-11-04 16:12:00 (Show Source): You can put this solution on YOUR website!Sam leaves for the store on his skateboard at 8 mph. His skateboard breaks when he gets to the store, so he immediately goes home at a speed of 4 mph. What is the round trip distance if it took 2 hours? --------------- Avg speed for the round trip = 2*8*4/(8+4) = 64/12 Avg = 16/3 mi/hr d = r*t = 2*16/3 RT distance = 32/3 miles
 Travel_Word_Problems/675790: A truck was able to average only 40 mph for the first 4 hours of a delivery route. How long must the driver travel at a speed of 55 mph to average 50 mph for the trip?1 solutions Answer 420060 by Alan3354(30993)   on 2012-11-04 16:08:33 (Show Source): You can put this solution on YOUR website!A truck was able to average only 40 mph for the first 4 hours of a delivery route. How long must the driver travel at a speed of 55 mph to average 50 mph for the trip? ------------------------- d = r*t r = d/t r = (40*4 + 55t)/(t+4) = 50 ..... (t = time at 55 mi/hr) 55t + 160 = 50t + 200 t = 8 hours at 55 mi/hr
 test/675756: I need to solve this by factoring and show my work (y-2/3)^2=4/91 solutions Answer 420058 by Alan3354(30993)   on 2012-11-04 16:00:07 (Show Source): You can put this solution on YOUR website!I need to solve this by factoring and show my work (y-2/3)^2=4/9 ------------------ Get the square root of both sides. y-2/3 = 2/3 and y-2/3 = -2/3
 Expressions-with-variables/675683: what is 5x-5 1 solutions Answer 420003 by Alan3354(30993)   on 2012-11-04 13:35:40 (Show Source): You can put this solution on YOUR website!what is 5x-5 -------------- It's a binomial.
 Travel_Word_Problems/675667: A car is driving at a speed of 0.5/50(please do with .5 and 50) miles per hour. what is the speed of the car in ft per min. the answer is 3,960 feet per minute. i just don't know how to work it out. 1 solutions Answer 419987 by Alan3354(30993)   on 2012-11-04 10:45:26 (Show Source): You can put this solution on YOUR website!A car is driving at a speed of 0.5/50(please do with .5 and 50) miles per hour. what is the speed of the car in ft per min. the answer is 3,960 feet per minute. ------------- I don't know what 0.5/50 mi/hr means, but 3960 ft/min = 3960*15/(22*60) mi/hr = 45 mi/hr