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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Money_Word_Problems/142019: A total of $8000 is invested , part at 3% and the rest at 4% per year. If the annual return on theses investments is $275, how much is invested at each rate? 1 solutions Answer 103449 by checkley77(12569)   on 2008-05-18 17:00:24 (Show Source): You can put this solution on YOUR website! .04x+.03(8000-x)=275 .04x+240-.03x=275 .01x=275-240 .01x=35 x=35/.01 x=3500 invested @ 4% 8000-3500=4500 invested @ 3% proof: .04*3500+.03*4500=275 140+135=275 275=275

Functions/142022: A profitability curve is drawn as a function of time, t (t>0), and is governed by this relationship: p(t)=t^2 + 5t - 6 What is its minimum value? a. 5 b. -6 c. -12 1/4 d. There is no minimum value 1 solutions Answer 103448 by checkley77(12569)   on 2008-05-18 16:57:15 (Show Source): You can put this solution on YOUR website! p(t)=t^2+5t-6 (graph 300x200 pixels, x from -6 to 5, y from -18 to 10, x^2 +5x -6). answer B) -6.

Miscellaneous_Word_Problems/142042: You are making a trip of 300 miles. After one third of the way, you determine that you have averaged 45 miles per hour. How fast should you average over the remaining trip in order to average 70 miles per hour for the entire trip? 1 solutions Answer 103447 by checkley77(12569)   on 2008-05-18 16:52:25 (Show Source): You can put this solution on YOUR website! 300/x=70 70x=300 x=300/70 x=4.2857 hours is the total trip time. 100/45+200/x=4.2857 2.22+200/x=4.2857 200/x=4.2857-2.22 200/x=2.06 2.06x=200 x=200/2.06 x=97.09 mph is the required speed for the last 200 miles to average 70 mph for the entire 300 mile trip. proof: 100/45+200/97.09=300/70 2.22+2.06=4.2857 4.28~4.2857

test/142051: Please help me solve this equation. x^2-2 ------- for x= -1 and x= 3 x^2-9 1 solutions Answer 103445 by checkley77(12569)   on 2008-05-18 16:37:32 (Show Source): You can put this solution on YOUR website! x^2-2 ------- for x= -1 and x= 3 x^2-9 -------------------------------- f(-1)=(1^2-2)/(1^2-9) f(-1)=(1-2)/(1-9) f(-1)=-1/-8 =1/8 answer. ------------------------------ f(3)=(3^2-2)/(3^2-9) f(3)=(9-2)/(9-9) f(3)=7/0=(infinity) answer.

Geometry_Word_Problems/142056: dan o leary has decided to plant a garden. he wants to make to make it 10.1 m long and 4.2 m wide. However in order to keep the rabbits out,Dan needs a fence surrounding the garden he decides to make the fence 11.2 m long and 5.0 m wide. what is the area beween the fence and the garden 1 solutions Answer 103444 by checkley77(12569)   on 2008-05-18 16:31:58 (Show Source): You can put this solution on YOUR website! 11.2*5=56 m^2 is the fenced in area. 10.1*4.2-42.42 m^2 is the garden area. 56-42.42=13.58 m^2 is the area between the garden & the fence.

Radicals/141931: Please,please,please I need your help! An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two worders to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task. Estimate how long it takes you to complet a task of mowing the lawn in a given week. Suppose that Joe is slower than you to complete the task? Include the type of job (mowing), the time it takes you and Joe individually to complete the job if you worked together. Include unit in your answer. I don't have a clue. Please help...thanks in advance. 1 solutions Answer 103378 by checkley77(12569)   on 2008-05-17 17:06:58 (Show Source): You can put this solution on YOUR website! t=ab/(a+b) let a take 5 hours to mow. let b take 8 hours to mow. 5*8/(5+8) 40/13 3.077 hours to mow the lawn working together.

Linear-equations/141906: mike wants to make meatloaf. his recipe uses a total of 5 pounds of meat. if he uses a 3 to 1 ratio of beef to pork how much pork will he use? 1 solutions Answer 103377 by checkley77(12569)   on 2008-05-17 16:43:56 (Show Source): You can put this solution on YOUR website! 3+1=4 total shares. 5/4=1.25 value of each share. 3*1.25=3.75 for the amount of beef 1*1.25=1.25 pounds of pork proof: 3/1=3.75/1.25 3*1.25=1*3.75 3.75=3.75

Linear-equations/141905: mike wants to make meatloaf. his recipe uses a total of 5 pounds of meat. if he uses a 3 to 1 ratio of beef to pork how much pork will he use? 1 solutions Answer 103376 by checkley77(12569)   on 2008-05-17 16:43:07 (Show Source): You can put this solution on YOUR website! 3+1=4 total shares. 5/4=1.25 value of each share. 3*1.25=3.75 for the amount of beef 1*1.25=1.25 pounds of pork proof: 3/1=3.75/1.25 3*1.25=1*3.75 3.75=3.75

Linear-equations/141904: mike wants to make meatloaf. his recipe uses a total of 5 pounds of meat. if he uses a 3 to 1 ratio of beef to pork how much pork will he use? 1 solutions Answer 103375 by checkley77(12569)   on 2008-05-17 16:42:10 (Show Source): You can put this solution on YOUR website! 3+1=4 total shares. 5/4=1.25 value of each share. 3*1.25=3.75 for the amount of beef 1*1.25=1.25 pounds of pork proof: 3/1=3.75/1.25 3*1.25=1*3.75 3.75=3.75

Linear-equations/141903: mike wants to make meatloaf. his recipe uses a total of 5 pounds of meat. if he uses a 3 to 1 ratio of beef to pork how much pork will he use? 1 solutions Answer 103374 by checkley77(12569)   on 2008-05-17 16:39:51 (Show Source): You can put this solution on YOUR website! 3+1=4 total shares. 5/4=1.25 value of each share. 3*1.25=3.75 for the amount of beef 1*1.25=1.25 pounds of pork proof: 3/1=3.75/1.25 3*1.25=1*3.75 3.75=3.75

Polynomials-and-rational-expressions/141908: I am trying to figure out how to solve this problem and get the wingspan of my chosen bird. this is the equation: L = (2.43) W^0.3326 L= (2.43) (0.35) ^0.3326 L= (2.43) L= 1 solutions Answer 103373 by checkley77(12569)   on 2008-05-17 16:30:31 (Show Source): You can put this solution on YOUR website! L = (2.43) W^0.3326 L= (2.43) (0.35) ^0.3326 L= (2.43)(.70527) L= 1.7138 answer.

test/141936: This equation illustrates remaning funds after paying for rent and utilities. How much money is left? $38,250+80,000+22,250-0.25(80,000+38,250)= 1 solutions Answer 103372 by checkley77(12569)   on 2008-05-17 16:25:50 (Show Source): You can put this solution on YOUR website! $38,250+80,000+22,250-0.25(80,000+38,250) 140,500-.25(118,250) 140,500-29,562.50 $110.937.50 is the amount left over.

Miscellaneous_Word_Problems/141945: This question is from textbook Prentice Hall Mathmatics Pre-Algrebra Please help me to understand this problem. Thank you sooo very much Here is the problem: A lot measures 50ft by 100ft. The house on the lot measures 25ft by 50ft. What is the area of the lawn? Thank you so much in advance 1 solutions Answer 103371 by checkley77(12569)   on 2008-05-17 16:18:55 (Show Source): You can put this solution on YOUR website! lot=50*100=5,000ft^2. house=25*50=1,250ft^2 5,000-1,250=3,750ft^2 is left over for a lawn.

Polynomials-and-rational-expressions/141775: Solve: x -2/5 + x -7/3 = -1 1 solutions Answer 103344 by checkley77(12569)   on 2008-05-16 20:14:11 (Show Source): You can put this solution on YOUR website! X-2/5+X-7/3=-1 2X=-1+2/5+7/3 2X=(-15+2*3+7*5)/15 2X=(-15+6+35)/15 2X=26/15 X=26/15*1/2 X=26/30=13/15 ANSWER. PROOF 13/15-2/5+13/15-7/3=-1 26/15-2/5-7/3=-1 26/15-6/15-35/15=-1 -15/15=-1 -1=-1

Travel_Word_Problems/141815: George lives approximately 15 miles from the state park where he is employed. His currently traveling 35 mph in his personal vehicle from his home to the state park so that he can report for duty as scheduled. Assuming that his speed remains constant, how long will it take George to reach the state park from his home? 1 solutions Answer 103343 by checkley77(12569)   on 2008-05-16 20:07:08 (Show Source): You can put this solution on YOUR website! 15/35=.42857 HOURS OR 25.7 MINUTES TO DRIVE TO WORK.

Geometry_Word_Problems/141821: The length of a rectangle is 3 inches longer than twice its width w:Write a polynomial expression in standard form in terms of w for the area of the rectangle. Find the area of the rectangle for w=10 Help with this question would be much obliged. 1 solutions Answer 103342 by checkley77(12569)   on 2008-05-16 20:04:36 (Show Source): You can put this solution on YOUR website! W=10 L=2*10+3 L*W=AREA (20+3)*10=AREA 23*10=AREA 230 INCHES IS THE AREA.

Geometry_Word_Problems/141832: A small area in front of a building is triangular in shape. The perimeter of the triangle is 37 meters. The second side is one-half of the first side in length. The third side is 3 meters less than the first side. Find the length in meters of each side of the triangular region. 1 solutions Answer 103341 by checkley77(12569)   on 2008-05-16 20:01:26 (Show Source): You can put this solution on YOUR website! LET X=THE FIRST SIDE X/2=THE SECOND SIDE. X-3=THE THIRD SIDE. X+X/2+X-3=37 2.5X=37+3 2.5X=40 X=40/2.5 X=16 ANSWER FOR THE FIRST SIDE. 16/2=8 FOR THE SECOND SIDE. 16-3=13 FOR THE THIRD SIDE. PROOF: 16+8+13=37 37=37

absolute-value/141857: if you have 18 - 7 - 6 -4. Under what conditions, the result of the expression would be positive. Is the positive number is greater than the absolute value of the sum of negative numbers. Would the result be positive? 1 solutions Answer 103337 by checkley77(12569)   on 2008-05-16 19:56:18 (Show Source): You can put this solution on YOUR website! 18 - 7 - 6 -4=18-17=1 answer.

Radicals/141862: What is the Square root of 75x^3y^5? 1 solutions Answer 103335 by checkley77(12569)   on 2008-05-16 19:54:40 (Show Source): You can put this solution on YOUR website! Square root of 75x^3y^5 sqrt(25*3x^2xy^4y) 5xy^2sqrt(3xy) answer.

Linear-equations/141717: y=-2x-2 1 solutions Answer 103289 by checkley77(12569)   on 2008-05-16 08:29:37 (Show Source): You can put this solution on YOUR website! Y=-2X-2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x -2).

Inverses/141719: This question is from textbook passport to algebra and geometry 11m-4m-m=48 1 solutions Answer 103288 by checkley77(12569)   on 2008-05-16 08:28:22 (Show Source): You can put this solution on YOUR website! 11M-4M-M=48 6M=48 M=48/6 M=8 ANSWER.

Equations/141724: (solve each inequality) 7x+2x>21-3 1 solutions Answer 103287 by checkley77(12569)   on 2008-05-16 08:26:32 (Show Source): You can put this solution on YOUR website! 7x+2x>21-3 9x>18 x>18/9 x>2 answer. proof: let x=2.1 9*2.1>18 18.9>18

Graphs/141729: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. y = -2x - 7 1 solutions Answer 103286 by checkley77(12569)   on 2008-05-16 08:23:58 (Show Source): You can put this solution on YOUR website! y=-2x-7 (graph 300x200 pixels, x from -6 o 5, y from -10 to 10, -2x -7 ). intercepts are (0,-7) & (-3.5,0) slope=-2

Graphs/141730: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. 2x + 3y = 9 1 solutions Answer 103285 by checkley77(12569)   on 2008-05-16 08:19:59 (Show Source): You can put this solution on YOUR website! 2x+3y=9 3y=-2x+9 y=-2x/3+9/3 y=-2x/3+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x/3 +3).

test/141757: f(x)= - 2/3x when x= -9 1 solutions Answer 103283 by checkley77(12569)   on 2008-05-16 08:05:59 (Show Source): You can put this solution on YOUR website! f(x)=-2/3x f(-9)=-2/3*-9 f(-9)=18/3 f(-9)=6 answer.

Length-and-distance/141758: Two telephone poles, 30 ft and 39 ft high, respectively, are 60 ft apart. How long is the wire from the top of one pole to the top of the other pole? 1 solutions Answer 103282 by checkley77(12569)   on 2008-05-16 08:03:34 (Show Source): You can put this solution on YOUR website! Here you have a right triangl with one side=60, the other side is 39-30=9. 60^2+9^2=h^2 3600+81=h^2 3681=h^2 h=sqrt3681 h=60.67 feet for the length of the wire.

Length-and-distance/141759: Two telephone poles, 30 ft and 39 ft high, respectively, are 60 ft apart. How long is the wire from the top of one pole to the top of the other pole? 1 solutions Answer 103281 by checkley77(12569)   on 2008-05-16 08:01:12 (Show Source): You can put this solution on YOUR website! Here you have a right triangl with one side=60, the other side is 39-30=9. 60^2+9^2=h^2 3600+81=h^2 3681=h^2 h=sqrt3681 h=60.67 feet for the length of the wire.

Proofs/141682: How many combinations of room decoration can you create with 12 wall papers, 7 floors and 5 drapes? What equation do I need to use to solve this problem? What would be the proof? 1 solutions Answer 103235 by checkley77(12569)   on 2008-05-15 18:14:32 (Show Source): You can put this solution on YOUR website! 12*7*5=420 COMBINATIONS ANSWER.

decimal-numbers/141638: pls i need urgent help here. Find the accumulated value of an investment of $9000 at 9% compounded continuously for 4 years. Round your answer to the nearest cent. kindly solve it for me appreciate ur help 1 solutions Answer 103234 by checkley77(12569)   on 2008-05-15 18:12:29 (Show Source): You can put this solution on YOUR website! PE^RT P=PRINCIPLE, E=2.7183, R=RATE & T=NUMBER OF YEARS. 9,000*2.7183^.09*4 9,000*2.7183^.36 9,000*1.433 $12,900 ANSWER.

Expressions-with-variables/141610: Simplify: -4 square root 27 + 2 square root 12 1 solutions Answer 103221 by checkley77(12569)   on 2008-05-15 16:27:17 (Show Source): You can put this solution on YOUR website! -4sqrt27+2sqrt12 -4sqrt(9*3)+2sqrt4*3) -4*3sqrt3+2*2sqrt3 -12sqrt3+4sqrt3 (-12+4)sqrt3 -8sqrt3 answer.

test/141554: The expression for figuring a students average test score is p/t, where p is the total points earned on all the tests, t is the number of tests. Find a students average when 396 points are earned on 6 tests. 1 solutions Answer 103220 by checkley77(12569)   on 2008-05-15 16:23:41 (Show Source): You can put this solution on YOUR website! 396/6=66 AVERAGE FOR THE 6 TESTS.