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# Recent problems solved by 'checkley77'

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 Expressions-with-variables/158246: 5*3=3*51 solutions Answer 116613 by checkley77(12569)   on 2008-09-21 18:43:40 (Show Source): You can put this solution on YOUR website!5*3=3*5 15=15
 Mixture_Word_Problems/158226: Rubbing alcohol is typically diluted with water to 70% strength. If you need 3.5 oz of 45% rubbing alcohol, how many ounces of 70% rubbing alcohol and how much water should you combine?1 solutions Answer 116611 by checkley77(12569)   on 2008-09-21 18:38:55 (Show Source): You can put this solution on YOUR website!.7X=45(3.5) .7X=1.575 X=1.575/.7 X=2.25 AMOUNT OF 70% ALCOHOL. 3.5-2.25=1.25 AMOUNT OF WATER ADDED.
 Linear-systems/158230: three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21 (12+9). Find the numbers.1 solutions Answer 116604 by checkley77(12569)   on 2008-09-21 18:04:07 (Show Source): You can put this solution on YOUR website!X+Y=21 OR X=21-Y 3Y=4X 3Y=4(21-Y) 3Y=84-4Y 3Y+4Y=84 7Y=84 Y=84/7 Y=12 THE LARGER NUMBER. X+12=21 X=21-12 X=9 THE SMALLER NUMBER. PROOF: 3*12=4*9 36=36
 Linear_Equations_And_Systems_Word_Problems/158232: Sarsh is designing a rectangular garden in her back yard. The length of the garden is to be three feet less than twice its width. if the perimeter of the garden is sixty feet, what are the width and length of her garden1 solutions Answer 116602 by checkley77(12569)   on 2008-09-21 18:00:18 (Show Source): You can put this solution on YOUR website!LENGTH=2W-3 WIDTH=W 2(2W-3)+2W=60 4W-6+2W=60 6W=60+6 6W=66 W=66/6 W=11 FEET. L=2*11-3 L=22-3 L=19 FEET PROOF: 2*19+2*11=60 38+22=60 60=60
 Inequalities/158236: This question is from textbook Intermediate Algebra for College Students (Book asks first to setup an inequality that can be used to solve the problem, then solve it to find the desired value) Long Distance: The telephone long-distance carrier Telecom-USA, which markets itself as 10-10-220, charges customers \$0.99 for the first 20 minutes and then \$0.07 for each minute (or any part thereof) beyond 20 minutes. If Patricia Lanz uses this carrier, how long can she talk for \$5.00?1 solutions Answer 116600 by checkley77(12569)   on 2008-09-21 17:57:00 (Show Source): You can put this solution on YOUR website!.99+X*.07=5 .99+.07X=5 .07X=5-.99 .07X=4.01 X=4.01/.07 X=57.3 57+20= 77 MINUTES IS THE MAXIMUM MINUTES SHE CAN USE FOR \$5.00. PROOF .99+.07*57<5 .99+3.99<5 4.98<5
 Angles/158235: This question is from textbook Geometry 62) 1/2*b*6=15 64)3014*r2=3141 solutions Answer 116598 by checkley77(12569)   on 2008-09-21 17:50:14 (Show Source): You can put this solution on YOUR website!62) 1/2*b*6=15 6B/2=15 3B=15 B=15/3 B=5 ANSWER. PROOF: 5*6/2=15 15=15 64)3014*r^2=314 R^2=314/3014 R^2=.1041804 R=SQRT.1041804 R=.3227698 ANSWER. PROOF 3014*.3227698^2=314 3014*.1041804=314 314~314
 Linear_Algebra/158113: A company place \$1,000,000 in three different accounts. It placed part in short-term notes paying 4.5% peryear, twice as much in government bonds paying 5% per year, and the rest in utility bonds paying 4%. The income after one year is \$45,500. How much did the company place in each account?1 solutions Answer 116596 by checkley77(12569)   on 2008-09-21 17:43:55 (Show Source): You can put this solution on YOUR website!.045X+.05*2X+.04(1,000,000-3X)=45,500 .045X+.10X+40,000-.12X=45,500 .025X=45,500-40,000 .025X=5,500 X-5,500/.025 X=220,000 INVESTED @ 4.5% 2*220,000=440,000 INVESTED @ 10% 1,000-220,000-440,000=340,000 INVESTED @4%. PROOF: .045*220,000+.05*440,000+340,000*.04=45,500 9,900+22,000+13,600=45,500 45,500=45,500
 Linear_Algebra/158115: This question is from textbook Algebra 2 Ten apples cost a penny, and 25 pears cost two pennies. Suppose I buy 100 apples and pear for 9 1/2 pennies. How may of each shall I have?1 solutions Answer 116592 by checkley77(12569)   on 2008-09-21 17:32:44 (Show Source): You can put this solution on YOUR website!10A=1 OR A=.1 25P=2 OR P=.08 A+P=100 OR A=100-P .1A+.08P=9.5 .1(100-P)+.08P=9.5 10-.1P+.08P=9.5 -.02P=9.5-10 -.02P=-.5 P=-.5/-.02 P=25 PEARS. 100-25=75 APPLES. PROOF: .1*75+.08*25=9.5 7.5+2=9.5 9.5=9.5
 Money_Word_Problems/158129: . P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P (1+r/2)2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P = \$200 and r =10%.1 solutions Answer 116591 by checkley77(12569)   on 2008-09-21 17:23:46 (Show Source): You can put this solution on YOUR website!200(1+.10/2)^2 200*1.05^2 200*1.1025=\$220.50
 Linear-systems/158147: This question is from textbook 12. Slope undefined; containing the point (-3, 4) Write the equation using the general form or the slope-intercept form, whichever you prefer. Graph each line. 1 solutions Answer 116589 by checkley77(12569)   on 2008-09-21 17:18:29 (Show Source): You can put this solution on YOUR website!4=-3m+b CAN'T GRAPH THE LINE WITHOUT A SLOPE (m) VALUE OR A Y INTERCEPT (b) VALUE.
 Percentage-and-ratio-word-problems/158219: A wooden chess set is priced at \$120. It was discounted 35%. What was the actual cost? My work: 120=1.35x 120/1.35=x 88.8888888888888889=x1 solutions Answer 116587 by checkley77(12569)   on 2008-09-21 17:13:14 (Show Source): You can put this solution on YOUR website!X(1-.35)=120 .65X=120 X=120/.65 X=184.62 IS THE ORIGINAL PRICE.
 Mixture_Word_Problems/158201: This question is from textbook Intermediate Algebra for College Students Painting Sales: Joseph DeGuizman, an artist, sells both large paintings and small paintings. He sells his small paintings for \$60 and his large paintings for \$180. At the end of the week he determined that the total amount he made selling 12 paintings was \$1200. Determine the number of small and the number of large paintings that he sold. ---I know the answers, more importantly, I cant understand how to setup the equation(s) to get the answers.1 solutions Answer 116584 by checkley77(12569)   on 2008-09-21 17:05:04 (Show Source): You can put this solution on YOUR website!S+L=12 OR S=12-L 60S+180L=1,200 SUBSTITUTING (12-L) FOR S IN THE SECOND EQUATION WE GET: 60(12-L)+180L=1,200 720-60L+180L=1,200 120L=1,200-720 120L=480 L=480/120 L=4 LARGE PAINTING SOLD. S=4=12 S=12-4 S=8 SMALL PAINTINGS SOLD. PROOF: 60*8+4*180=1,200 480+720=1,200 1,200=1,200
 Percentage-and-ratio-word-problems/158203: This question is from textbook intermediate Algebra for College Students Ocean Salinity: The salinity (salt content) of the Atlantic Ocean averages 37 parts per thousand. If 64 ounces of water is collected and placed in the sun, how many ounces of pure water would need to evaporate to raise the salinity to 45 parts per thousand? (Only pure water is evaporated; the salt is left behind.) ---I dont even know where to begin this one; I need to know how to setup the equation, what information is important, and the solution.1 solutions Answer 116582 by checkley77(12569)   on 2008-09-21 16:59:58 (Show Source): You can put this solution on YOUR website!.37*64=.45(64-X) 23.68=28.8-.45X .45X=28.8-23.68 .45X=5.12 X=5.12/.45 X=11.38 OZ OF WATER IS EVAPORATED.
 Radicals/158204: Simplify: (–7 sqrt11 - sqrt7)(sqrt7 – 10sqrt11)1 solutions Answer 116576 by checkley77(12569)   on 2008-09-21 16:42:39 (Show Source): You can put this solution on YOUR website!(–7 sqrt11 - sqrt7)(sqrt7 – 10sqrt11) -7SQRT11-SQRT7 SQRT7-10SQRT11 MULTIPLY -------------------------------------- -7SQRT77-7+70*11+10SQRT77 3SQRT77-7+770 3SQRT77-763
 expressions/158207: (64)^-4/31 solutions Answer 116574 by checkley77(12569)   on 2008-09-21 16:35:58 (Show Source): You can put this solution on YOUR website!(64)^-4/3 1/cubert64^4 1/cubert16,777,216 1/256 or .0039 answer.
 Inequalities/158087: How do i write this inequality: Your quiz grades are 19,17,20, and 15. What is the lowest grade you can receive on the next quiz and maintain at least an 18 average? The inequality does not have to be solved. I think the answer is 71+ x /5 >=18. Is this correct and how do i solve inequalities like this?1 solutions Answer 116486 by checkley77(12569)   on 2008-09-20 19:39:32 (Show Source): You can put this solution on YOUR website!71+ x /5 >=18. x/5>=18-71 x/5>=-53 x>=-53*5 x>=-265 answer. proof: 71-265/5>=18 71-53>=18 18>=18
 Graphs/158088: Find equation: (2,5) (-6,-5) I know that you use m=y2-y1/ x2-x1 which is 5-(-5)= 10 5/4 then: y=5/4x +b 2-(-6)= 8 5= 5/4 +b 5= 5/4(2)+b 5= 5/2 +b 5-5/2=b here's where it gets confusing the answer is.... the book states y= 5/4x+5/21 solutions Answer 116484 by checkley77(12569)   on 2008-09-20 19:35:52 (Show Source): You can put this solution on YOUR website!(2,5)(-6,-5) m=(-5-5)/-6-2) m=-10/-8=5/4 is the slope. Y=mX+b 5=5/4*2+b 5=10/4+b b=5-10/4 b=5-2.5 b=2.5 thge y intercept. y=5x/4-2.5 answer. Same answer in the book.
 Rational-functions/158007: find the product (9x-8)^2 a. 81x^2+64 b. 9x^2+64 c. 9x^2-144x+64 d. 81x^2-144x+641 solutions Answer 116483 by checkley77(12569)   on 2008-09-20 19:27:52 (Show Source): You can put this solution on YOUR website!(9x-8)^2 9X-8 9X-8 ---------------------- 81X^2-72X-72X+64 81X^2-144X+64 ANSWER D) ########################## a. 81x^2+64 b. 9x^2+64 c. 9x^2-144x+64 d. 81x^2-144x+64
 Exponential-and-logarithmic-functions/158008: find the product (x-4y)(5x-9y) a. 5x^2-29xy-29y^2 b. x^2-29xy+36y^2 c. x^2-29xy-29y^2 d. 5x^2-29xy+36y^21 solutions Answer 116482 by checkley77(12569)   on 2008-09-20 19:25:05 (Show Source): You can put this solution on YOUR website!(x-4y)(5x-9y) X-4Y 5X-9Y -------------------- 5X^2-20XY-9XY+36Y^2 5X^2-29XY+36Y^2 ANSWER D)
 Rate-of-work-word-problems/158018: 34% of the voters in one county voted Democratic in the last election. If 6,834 people voted Democratic, how many voters are there in the county.1 solutions Answer 116481 by checkley77(12569)   on 2008-09-20 19:21:35 (Show Source): You can put this solution on YOUR website!.34X=6,834 X=6,834/.34 X=20,100 TOTAL VOTERS.
 Miscellaneous_Word_Problems/158050: Jason needs to measure exactly 4 liters of water. He has only two containers-one that holds exactaly 8 liters and one that holds exactaly 10 liters. How does he get exactly 4 liters? Thank you ahead of time for answering this.1 solutions Answer 116480 by checkley77(12569)   on 2008-09-20 19:16:53 (Show Source): You can put this solution on YOUR website!FILL THE 10 LITER CONTAINER. POUR 8 LITERS INTO THE 8 KLITER CONTAINER. YOU HAVE 2 LITERS LEFT IN THE 10 LITER CONTAINER. TRANSFER THE 2 LITERS INTO THE 8 LITER CONTAINER. FILL THE 10 LITER CONTAINER. EMPTY 6 LITERS INTO THE 8 LITER CONTAINER. YOU NOW HAVE 4 LITERS LEFT IN THE 10 LITER CONTAINER
 Miscellaneous_Word_Problems/158051: Jason needs to measure exactly 4 liters of water. He has only two containers-one that holds exactaly 8 liters and one that holds exactaly 10 liters. How does he get exactly 4 liters? Thank you ahead of time for answering this.1 solutions Answer 116479 by checkley77(12569)   on 2008-09-20 19:15:31 (Show Source): You can put this solution on YOUR website!FILL THE 10 LITER CONTAINER. POUR 8 LITERS INTO THE 8 KLITER CONTAINER. YOU HAVE 2 LITERS LEFT IN THE 10 LITER CONTAINER. TRANSFER THE 2 LITERS INTO THE 8 LITER CONTAINER. FILL THE 10 LITER CONTAINER. EMPTY 6 LITERS INTO THE 8 LITER CONTAINER. YOU NOW HAVE 4 LITERS LEFT IN THE 10 LITER CONTAINER
 Miscellaneous_Word_Problems/158053: Jason needs to measure exactly 4 liters of water. He has only two containers-one that holds exactaly 8 liters and one that holds exactaly 10 liters. How does he get exactly 4 liters? Thank you ahead of time for answering this.1 solutions Answer 116478 by checkley77(12569)   on 2008-09-20 19:14:22 (Show Source): You can put this solution on YOUR website!FILL THE 10 LITER CONTAINER. POUR 8 LITERS INTO THE 8 KLITER CONTAINER. YOU HAVE 2 LITERS LEFT IN THE 10 LITER CONTAINER. TRANSFER THE 2 LITERS INTO THE 8 LITER CONTAINER. FILL THE 10 LITER CONTAINER. EMPTY 6 LITERS INTO THE 8 LITER CONTAINER. YOU NOW HAVE 4 LITERS LEFT IN THE 10 LITER CONTAINER.
 Rational-functions/158065: Simplify (1/x + 1/y)^21 solutions Answer 116477 by checkley77(12569)   on 2008-09-20 19:06:56 (Show Source): You can put this solution on YOUR website!(1/x + 1/y)^2 1/x+1/y 1/x+1/y multiply -------------- 1/x^2+1/xy+1/xy+1/y^2 1/x^2+2/xy+1/y^2
 Polynomials-and-rational-expressions/158066: Simplify (12x^2y^8z^7/ 4x^9y^8z^4)^3 I got originally a whole different answer than the ones to choose from...... 1 solutions Answer 116476 by checkley77(12569)   on 2008-09-20 19:05:02 (Show Source): You can put this solution on YOUR website!(12x^6(2)y^8 z^7/4x^9y^8z^4)^3 I assume you wanted top drop the (2) in front of the y^8!!!!! 12/4=3 x^7/x^9=1/x^2 y^8/y^8=1 z^7/z^4 [(3*1*1*z^4)/x^2]^3 [(3z^4)/x^2]^3 27z^12/x^6 answer.
 Radicals/158068: simplify sqrt sign w^11/x^5 I got w^5/x^3 sqrt w/x I don't think this is right1 solutions Answer 116475 by checkley77(12569)   on 2008-09-20 18:57:55 (Show Source): You can put this solution on YOUR website!sqrt sign w^11/x^5 sqrtw^11/x^5=w^5/x^2sqrtw/x
 Travel_Word_Problems/157914: Two cars leave from the same place at the same time and drive in opposite directions. One car travels an average of 6 mph faster than the other. After 2 hours, the cars are 310 miles apart. Find the speed of each car.1 solutions Answer 116412 by checkley77(12569)   on 2008-09-19 23:01:33 (Show Source): You can put this solution on YOUR website!2X+2(X+6)=310 2X+2X+12=310 4X=310-12 4X=298 X=298/4 X=74.5 mph for the slower car. 74.5+6=80.5 mph for the faster car. proof: 2*74.5+2*80.5=310 149+161=310 310=310
 real-numbers/157922: I need help with this problem: ((-2f))) f= 3/41 solutions Answer 116410 by checkley77(12569)   on 2008-09-19 22:56:35 (Show Source): You can put this solution on YOUR website!((-2f))) f= 3/4 -2*3/4=-6/4=-1.5
 Travel_Word_Problems/157945: Mattie drove 150 miles in the same amount of time that it took a turboprpellar plane to travel 600 miles. The spped of the plane was 150 mph faster than the speed of the car mattie drove. Find the speed of the plane. This came from a take home exam from my Math Structures 1 teacher1 solutions Answer 116408 by checkley77(12569)   on 2008-09-19 22:52:18 (Show Source): You can put this solution on YOUR website!150/X=600/(X+150) 150(X+150)=600X 150X+22,500=600X 150X-600X=-22,500 -450X=-22,500 X=-22,500/-450 X=50 MPH IS MATTIE'S SPEED. 50=150=200 MPH IS THE PLANE'S SPEED.
 Mixture_Word_Problems/157946: A pharmacist needs 70 liters of a 50% alcohol solution. She has availible a 30 % solution and an 80% solution. How many liters of each solution should she mix to obtain 70 liters of a 50% alcohol solution ? Also from a take home exam1 solutions Answer 116403 by checkley77(12569)   on 2008-09-19 22:44:53 (Show Source): You can put this solution on YOUR website!70*.5=.30X+.80(70-X) 35=.30X+56-.80X 35-56=-.50X -21-.5X X=-21/-.5 X=42 LITERS OF THE 30% ALCOHOL IS NEEDED. 70-42=28 LITERS OF THE 50% ALCOHOL IS ALSO NEEDED. PROOF: 70*.5=.30*42+.80*28 35=12.6+22.4 35=35
 Money_Word_Problems/157947: An office supply store in San Diego sells 7 writing tablets and 4 pens for \$ 6.40. Also, 2 tablets and 19 pens cost # 5.40. Find the price of each. From a take home test1 solutions Answer 116401 by checkley77(12569)   on 2008-09-19 22:34:04 (Show Source): You can put this solution on YOUR website!7T+4P=6.40 2T+19P=5.40 MULTIPLY THE FIRST EQUATION BY 2 & MULTIPLY THE SECOND EQUATION BY -7 & THEN ADD THEM. 14T+8P=12.80 -14T-133P=-37.80 ---------------------- -125P=-25.00 P=-25.00/-125 P=\$.20 IS THE PRICE FOR EACH PEN. 7T+4*.20=6.40 7T+.80=6.40 7T=6.40-.80 7T=5.60 T=5.60/7 T=\$.80 FOR EACH TABLET. PROOF: 2*.80 +19*.20=5.40 1.60+3.80=5.40 5.40=5.40