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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Equations/161356: Diversification-Helen has 1/5 of her portfolio in U.S stocks, 1/8 of portfolio in European stocks, and 1/10 of the portfolio in Japanese stocks. The remainder is invested in muncipal bonds. What fraction of her portfolio is invested in the municipal bonds? What percent is invested in muncipal bonds? 1 solutions Answer 118880 by checkley77(12569)   on 2008-10-10 15:51:02 (Show Source): You can put this solution on YOUR website! 1-(1/5+1/8+1/10)=1-(8+5+4)/40=1-17/40=23/40 was invested in municipal bonds. 23/40=.575=57.5% was invested in municipal bonds.

Geometric_formulas/161357: useing a mid-point formula Line AB is located (-5,0) and (-1,3).what slope is a) 4/3 b) 2/4 c) 3/4 d) 4/2 1 solutions Answer 118879 by checkley77(12569)   on 2008-10-10 15:45:19 (Show Source): You can put this solution on YOUR website! slope=(3-0)/(-1+5)=3/4 Answer:C)=3/4

Polynomials-and-rational-expressions/161258: can someone help" Write the expression in lowest terms. y^2 + 8y + 12 / y^2 + 9y + 14 1 solutions Answer 118878 by checkley77(12569)   on 2008-10-10 15:39:36 (Show Source): You can put this solution on YOUR website! y^2 + 8y + 12 / y^2 + 9y + 14 (x+6)(x+2)/(x+7)(x+2) (x+6)/(x+7) answer.

Probability-and-statistics/161338: This question is from textbook intergrated mathmatics how many five letter arrangments can be made from the letters of the word breakfast 1 solutions Answer 118877 by checkley77(12569)   on 2008-10-10 15:37:15 (Show Source): You can put this solution on YOUR website! 8*7*6*5*4=1,120 arrangements can be made without repeats. 8*8*8*8*8=4,096 arrangements with repeats.

Miscellaneous_Word_Problems/161340: This question is from textbook Ken got 2/3 of a ton of gravel even though he ordered 3/4 of a ton of gravel. What fraction of his order did Ken get? a. Draw pictures to help you solve this problem. Explain why your answer is correct. b. In solving this problem, how do 2/3 and 3/4 appear in different forms? c. What are the different wholes associated with the fractions in this problem? In other words, for each fraction in this problem, and its solution, what is the fraction of? 1 solutions Answer 118876 by checkley77(12569)   on 2008-10-10 15:33:40 (Show Source): You can put this solution on YOUR website! (2/3)/(3/4)=(2/3)(4/3)=8/9 of his order was delivered. Proof: (8/9)*(3/4)=24/36=2/3

Equations/161353: Solve each equation for x x-a=-x+a+4b 1 solutions Answer 118875 by checkley77(12569)   on 2008-10-10 15:30:19 (Show Source): You can put this solution on YOUR website! x-a=-x+a+4b x+x=a+a+4b 2x=29a+2b) x=2(a+2b)/2 x=a+2b answer.

Polynomials-and-rational-expressions/161373: CAN SOMEONE PLEASE HELP ME WITH THESE 3 PROBLEMS: Find the product. 1. (9x-8)^2 2. (10 + 7x)^2 3. (x-4y)(5x-9y) 1 solutions Answer 118873 by checkley77(12569)   on 2008-10-10 15:26:23 (Show Source): You can put this solution on YOUR website! 1. (9x-8)^2 81x^2-144x+64 2. (10 + 7x)^2 100+140x+49x^2 3. (x-4y)(5x-9y) 5x^2-29x+36y^2

Polynomials-and-rational-expressions/161379: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Simplify the exponential expression. x^9y^0 1 solutions Answer 118872 by checkley77(12569)   on 2008-10-10 15:22:37 (Show Source): You can put this solution on YOUR website! x^9y^0 x^9*1=x^9 answer.

Expressions-with-variables/161381: CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM: Solve the formula for the specified variable.d = rt for t 1 solutions Answer 118871 by checkley77(12569)   on 2008-10-10 15:21:19 (Show Source): You can put this solution on YOUR website! d=rt t=d/r answer.

Linear_Equations_And_Systems_Word_Problems/161398: Kay spends 250 min/wk exercising. her ratio of time spent on aerobics to time spent on weight training is 3 to 2. How many minutes per week does she spend on aerobics? How many minutes per week does she spend on weight training? 1 solutions Answer 118870 by checkley77(12569)   on 2008-10-10 15:18:56 (Show Source): You can put this solution on YOUR website! 3:2 has 3+2=5 components. 250/5=50 per components. 3*50=150 2*50=100 Proof: 3:2=150:100 300=300

Expressions-with-variables/161389: Can you please help me with this problem? thank you! Sometimes you need to rewrite an equation so that a variable is on only one side of the equation. To accomplish this, add the opposite of the term to both sides of the equation. Then add, subtract, multiply, or divide in order to isolate the variable. 3x-5=x-7 Thank you! 1 solutions Answer 118869 by checkley77(12569)   on 2008-10-10 15:16:00 (Show Source): You can put this solution on YOUR website! 3x-5=x-7 3x-x=-7+5 2x=-2 x=-2/2 x=-1 answer. Proof: 3*-1-5=-1-7 -3-5=-8 -8=-8

Travel_Word_Problems/161391: An airplane travels 600 miles against the wind in 4 hours, and makes the return trip with the same wind in 2 hours. Find the rate of the wind. 1 solutions Answer 118868 by checkley77(12569)   on 2008-10-10 15:13:10 (Show Source): You can put this solution on YOUR website! SORRY I HASTILY DIVIDED 600/4 & GOT 200 INSTEAD OF 150!!!!!!!!! ------------------------------------------------------------------ 600/4=150 mph against the wind. 600/2=300 mph with the wind. 300-150)/2=150/2=75 mph is the wind speed. 600/(150+75)=600/(300-75) 600/225=600/225

testmodule/161396: solve and graph x +1/2y=5 1 solutions Answer 118867 by checkley77(12569)   on 2008-10-10 15:07:02 (Show Source): You can put this solution on YOUR website! X+Y/2=5 Y/2=-X+5 Y=2(-X+5) Y=-2X+10 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x +10).

Inequalities/161392: please solve this inequalitys step by step 1. (-9m)+(-m)+(-7) >= 43 2. 5x+8< 9x+24 3. 1/2(-4x -8) > 1/4(16x+24) 1 solutions Answer 118866 by checkley77(12569)   on 2008-10-10 15:04:33 (Show Source): You can put this solution on YOUR website! 1. (-9m)+(-m)+(-7) >= 43 -9M-M-7>=43 -10M>=43+7 -10M>=50 M<=50/-10 THE > SIGN CHANGES TO A < SIGN WHEN DIIVIDING BY A NEGATIVE VALUE. M<=-5 ANSWER. PROOF: LET M=-6 -9(-6)-(-6)-7>=43 54+6-7>=43 60-7>=43 53>=43 ------------------------------------------------- 2. 5x+8< 9x+24 5X-9X<24-8 -4X<16 X>16/-4 AGAIN DIVIDING BY A NEGATIVE VALUR CHANGES THE < SIGN TO A > SIGN. X>-4 ANSWER. PROOF: LET X=-3 5(-3)+8<9(-3)+24 -15+8<-27+24 -7<-3 ------------------------------------------------- 3. 1/2(-4x -8) > 1/4(16x+24) -4X/2-8/2>16X/4+24/4 -2X-4>4X+6 -2X-4X>6+4 -6X>10 X<10/-6 AGAIN A SIGN CHNGE. X<-5/3 ANSWER. PROOF: LET X=-6/3=-2 1/2(-4*-2-8)>1/4(16*-2+24) 1/2(8-8)>1/4(-32+24) 0>1/4*-8 0>-2

Travel_Word_Problems/161347: two cyclists start from the same point and ride in opposite deirections. ONe cyclist rides twice as fast as the the other. In 3 hours they are 81 miles apart. Find the rate of each cyclist. 1 solutions Answer 118853 by checkley77(12569)   on 2008-10-10 11:29:16 (Show Source): You can put this solution on YOUR website! 3x+3*2x=81 3x+6x=81 9x=81 x=81/9 x=9 mph for the slower biker. 2*9=18 mph for the faster biker. Proof: 3*9+6*9=81 27+54=81 81=81

Radicals/161348: i am asked to show all work and to preform the indicated operations: 2square root[72] + square root[32] - 4 square root[18] 1 solutions Answer 118852 by checkley77(12569)   on 2008-10-10 11:23:54 (Show Source): You can put this solution on YOUR website! 2square root[72] + square root[32] - 4 square root[18] 2sqrt(36*2)+sqrt(16*2)-4sqrt(9*2) 2*6sqrt(2)+4sqrt(2)-4*3sqrt(2) 12sqrt(2)+4sqrt(2)-12sqrt(2) 4sqrt(2) answer.

Travel_Word_Problems/161246: This question is from textbook Pre-algebra Brian travels south on his bicycle riding 8 miles per hour. One hour later, his friend Maya starts riding her bicycle from the same location. If she travels south at 10 miles per hour, how long will it take her to catch Brian ? 1 solutions Answer 118793 by checkley77(12569)   on 2008-10-09 21:57:53 (Show Source): You can put this solution on YOUR website! 8t=10(t-1) 8t=10t-10 8t-10t=-10 -2t=-10 t=-10/-2 t=5 hours it will take Maya to catch Brian. Proof: 8*5=10(5-1) 40=10*4 40=40

Problems-with-consecutive-odd-even-integers/161263: find 3 consecutive odd integers whose sum is -81 1 solutions Answer 118790 by checkley77(12569)   on 2008-10-09 21:54:43 (Show Source): You can put this solution on YOUR website! x+x+2+x+4=-81 3x=-81-6 3x=-87 x=-87/3 x=-29 answer -29+2=-27 -29+4=-25 Proof -29-27-25=-81 -81=-81

Square-cubic-other-roots/161296: This question is from textbook Algebra I I am looking for someone to please show how the square root of (7.96) equals (2.82). I am a homeschooling mom and I have tried using the square root formula from our Pre-Algebra Textbook and still cannot find the answer to show as 2.82. Can someone please show us how to compute this so we may carry this into our lesson? Thank you 1 solutions Answer 118787 by checkley77(12569)   on 2008-10-09 21:51:08 (Show Source): You can put this solution on YOUR website! Find the largest square less than 7. 2^2=4 Subtract the 4 from the 7=3. bring down the next 2 digits [396]. You need to multiply the 2*2 & add a zero for the next divisor (40) Now you need to find the next value to add to the (4x)*x <396 [(40+?)*?<396].Try 9. [49*9=441} to large. Try 8. [48*8=384] this fits. Now subtract 384 from 396=16. Bring down two zeros Double the 28=56. [56+?)*?<1600.try 563*3=1689 too big. Try 562*2=1124 Suntract 1124 from 1600. VOILA 2.82 WITH REMAINDER ------------------------------------------------- ****2.82 ***______________ 2\/ 7.9600 ****4 ****--- 48**396 ****384 ****----- *****1600 562**1124 *****---- ******476

Square-cubic-other-roots/161297: This question is from textbook Algebra I I am looking for someone to please show how the square root of (7.96) equals (2.82). I am a homeschooling mom and I have tried using the square root formula from our Pre-Algebra Textbook and still cannot find the answer to show as 2.82. Can someone please show us how to compute this so we may carry this into our lesson? Thank you 1 solutions Answer 118786 by checkley77(12569)   on 2008-10-09 21:46:25 (Show Source): You can put this solution on YOUR website! Find the largest square less than 7. 2^2=4 Subtract the 4 from the 7=3. bring down the next 2 digits [396]. You need to multiply the 2*2 & add a zero for the next divisor (40) Now you need to find the next value to add to the (4x)*x <396 [(40+?)*?<396].Try 9. [49*9=441} to large. Try 8. [48*8=384] this fits. Now subtract 384 from 396=16. Bring down two zeros Double the 28=56. [56+?)*?<1600.try 563*3=1689 too big. Try 562*2=1124 Suntract 1124 from 1600. VOILA 2.82 WITH REMAINDER ------------------------------------------------- ****2.82 ***______________ 2\/ 7.9600 ****4 ****--- 48**396 ****384 ****----- *****1600 562**1124 *****---- ******476

Inequalities/161268: This question is from textbook Please help me find the solutions to the following problems: 8n+2-10n<20 5-4m+8+2m>-17 2x-3/5<7 Your helpis greatly appreciated!! 1 solutions Answer 118783 by checkley77(12569)   on 2008-10-09 21:13:21 (Show Source): You can put this solution on YOUR website! 8n+2-10n<20 -2N<20-2 -2N<18 N>18/-2 THE SIGN CGHANGES WHEN YOU DIVIDE BY A NEGATIVE VALUE. N>-9 ANSWER. PROOF: LET N=-8 8*-8+2-10*-8<20 -64+2+80<20 82-64<20 18<20 ----------------------------- 5-4m+8+2m>-17 -2M>-17-5-8 -2M>-30 M<-30/-2 M<15 PROOF: LET M=14 5-4*14+8+2*14>-17 5-56+8+28>-17 41-56>-17 -15>-17 ---------------------------------- i'LL LEAVE THE LAST ONE FOR YOU TO PRACTICE WITH. 2x-3/5<7

Equations/161269: This question is from textbook Two motorcycles travel toward each other from Chicago and Indianapollis, which are about 350km apart, at rates of 110 and 90 km/h. They started at the same time. In how many hours will they meet? 1 solutions Answer 118782 by checkley77(12569)   on 2008-10-09 21:05:40 (Show Source): You can put this solution on YOUR website! 110X+90X=350 200X=350 X=350/200 X=1.75 HOURS THEY WILL MEET. pROOF: 110*1.75+90*1.75=350 192.5+157.5=350 350=350

Square-cubic-other-roots/161289: If f(x)=2x^2-7x+3, find f(2). SHOW WORK! 1 solutions Answer 118781 by checkley77(12569)   on 2008-10-09 21:02:59 (Show Source): You can put this solution on YOUR website! F(2)=2*2^2-7*2+3 F(2)=2*4-14+3 F(2)=8-14+3 F(2)=-3 ANSWER.

Square-cubic-other-roots/161282: I need help with sipmlifying the following: Square Root x^5y^6 1 solutions Answer 118780 by checkley77(12569)   on 2008-10-09 21:00:49 (Show Source): You can put this solution on YOUR website! SQRT(X^5Y^6)=X^2Y^3SQRT(X)

Polynomials-and-rational-expressions/161291: Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1+r)^2= 27,000. 1 solutions Answer 118779 by checkley77(12569)   on 2008-10-09 20:57:11 (Show Source): You can put this solution on YOUR website! 12,000(1+r)^2=27,000 12,000(1+2r+r^2)=27,000 r^2+2r+1=27,000/12,000 r^2+2r+1=2.25 r^2+2r+1-2.25=0 r^2+2r-1.25=0 (x+2.50(x-.5)=0 x-.5=0 x=.5 or 50% annual return of investment. Proof: 12,000(1+.5)^2=27,000 12,000(1.5^2)=27,000 27,000=27,000

Numbers_Word_Problems/161180: I would like to find out steps of how to get the product of two consecutive intergers that equal forty-two and two consecutive intergers that equal thirty. 1 solutions Answer 118727 by checkley77(12569)   on 2008-10-09 11:29:15 (Show Source): You can put this solution on YOUR website! LET X & X+1 BE THE 2 CONSECUTIVE INTEGERS. X(X+1)=42 X^2+X-42=0 (X+7)(X-6)=0 X-6=0 X=6 FOR THE SMALLER INTEGER. 6=1=7 FOR THE LARGEST INTEGER. PROOF: 6*7=42 ---------------------------------------- X & X+1 X(X+1)=30 X^2+X-30=0 (X+6)(X-5)=0 X-5=0 X=5 THE SMALLER INTEGER. 5+1=6 FOR THE LARGER INTEGER. PROOF: 5*6=30 30=30

test/161171: A manager bought 12 pounds of peanuts for $30. He wants to mix $5 per pound cashews with the peanuts to get a batch of mixed nuts that is worth $4 per pound. How many pounds of cashews are needed? 1 solutions Answer 118726 by checkley77(12569)   on 2008-10-09 11:25:07 (Show Source): You can put this solution on YOUR website! 5X+12*2.5=4(12+X) 5X+30=48+4X 5X-4X=48-30 X=18 POUNDS OF CASHEWS IS NEEDED. PROOF: 5*18+30=4(12+18) 90+30=4*30 120=120

Geometry_Word_Problems/161175: Home Depot sells plywood to cover the outside walls of a home in 4 foot by 8 foot sheets for $15 per sheet. You have a framed wall thatis 8 foot high by 40 feet long. How many sheets of plywood will it take to cover the space? 1 solutions Answer 118722 by checkley77(12569)   on 2008-10-09 11:11:09 (Show Source): You can put this solution on YOUR website! 8*40=320FT^2 4*8=32 FT^2 320/32=10 SHEETS WILL BE REQUIRED. COST=10*15=$150

Linear-equations/161178: Find 3 consecutive integers such that the sum of twice the smallest and 3 times the largest is 126. 1 solutions Answer 118721 by checkley77(12569)   on 2008-10-09 11:08:20 (Show Source): You can put this solution on YOUR website! LET X, X+1 & X+2 BE THE THREE INTEGERS. 2X+3(X+2)=126 2X+3X+6=126 5X=126-6 5X=120 X=120/5 X=24 ANSWER FOR THE SMALLEST INTEGER. 24+1=25 IS THE MIDDLE INTEGER. 24+2=26 FOR THE LARGEST INTEGER. PROOF: 2*24+3*26=126 48+78=126 126=126

Age_Word_Problems/161177: Mrs.Johnson is 3 times as old as her son.Ten years ago she was 5 times as old as her son was then.Find each of their ages. 1 solutions Answer 118719 by checkley77(12569)   on 2008-10-09 11:05:28 (Show Source): You can put this solution on YOUR website! M-10=5(S-10) OR M=5(S-10)+10 M=3S 5(S-10)+10=3S 5S-50+10=3S 5S-40=3S 5S-3S=40 2S=40 S=40/2 S=20 AGE OF SON NOW. M=3*20=60 AGE OF MOM NOW. PROOF: 60-10=5(20-10) 50=5*10 50=50

Linear_Equations_And_Systems_Word_Problems/161099: Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 54 points. They won 12 more games than they tied. How many wins and how many ties did the team have? HOw many wins did the team have? How many ties did the team have? 1 solutions Answer 118692 by checkley77(12569)   on 2008-10-08 21:54:28 (Show Source): You can put this solution on YOUR website! (12+X)2+X=54 24+2X+X=54 3X-54-24 3X=30 X=30/3 X=10 GAMES TIED. 10+12=22 GAMES WON. PROOF: 2*22+10*1=54 44+10=54 54=54