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# Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
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 Polynomials-and-rational-expressions/34590: Help me factor: 5t^2 - t - 181 solutions Answer 20873 by checkley71(8403)   on 2006-04-22 19:15:33 (Show Source): You can put this solution on YOUR website!5T~2-T-18 OR (5T+9)(T-2)
 Polynomials-and-rational-expressions/34591: Help me factor: 2h^2 - 5h - 31 solutions Answer 20872 by checkley71(8403)   on 2006-04-22 19:13:24 (Show Source): You can put this solution on YOUR website!2H~@-5H-3 OR (2H+1)(H-3)
 Polynomials-and-rational-expressions/34592: Help me factor: p^2 + 2p + 11 solutions Answer 20871 by checkley71(8403)   on 2006-04-22 19:11:30 (Show Source): You can put this solution on YOUR website!P~2+2P+1 OR (P+1)(P+1)
 Polynomials-and-rational-expressions/34593: Help me factor: 9c^2 - 1691 solutions Answer 20870 by checkley71(8403)   on 2006-04-22 19:09:41 (Show Source): You can put this solution on YOUR website!9C~2-169 OR(3C+13)(3C-13)
 Polynomials-and-rational-expressions/34594: Help me factor: -w^2 + 5w - 41 solutions Answer 20869 by checkley71(8403)   on 2006-04-22 19:07:01 (Show Source): You can put this solution on YOUR website!-W~2+5W-4=0 OR W~2-5W+4=0 OR (W-1)(W-4)=0 OR W=1 & W=4
 Miscellaneous_Word_Problems/34596: The prices of tickets for the local rock concert were \$16 for Friday night and \$28 for Saturday night. The total attendance for the two nights was 1090. If the total receipts were \$24,232, how many people attended Saturday night? Let X = number of people that attended Friday’s concert and Y = number of people that attended Saturday’s concert. I dont understand how to solve it.1 solutions Answer 20868 by checkley71(8403)   on 2006-04-22 19:01:54 (Show Source): You can put this solution on YOUR website!X+Y=1090 & 16X+28Y=24232 OR X=1090-Y SUBSTITUTING (1090-Y) FOR X IN EQUATION #2 WE GET 16(1090-Y)=24232 OR 17440-16Y+28Y=24232 OR 12Y=6792 0R Y=6792/12 OR Y=566 THUS 1090-566=524 OR FRI. SALES WERE 524@16=8384 & SAT SALES WERE 566@28=15848 SO 8384+15848=24232
 Linear-equations/34260: This question is from textbook In this word problem I got the equation 6(C+1800). I have to find C-that's if the equation is even right. The problem reads: The Alpine Valley Ski Shop sells both cross-country and downhill skis. During a year they sell six times as many dowmhill skis as cross country skis. Determine the number of pairs of cross-country skis sold if the difference in the number of pairs of downhill and cross-country skis sold is 1800.1 solutions Answer 20847 by checkley71(8403)   on 2006-04-22 11:39:35 (Show Source): You can put this solution on YOUR website!6C-C=1800 OR 5C=1800 OR C=360 CROSS COUNTRY SKIS SOLD AND 6*360 DOWNHILL SKIS OR 2160 THE DIFFERENCE BEING 2160-360=1800
 Graphs/34544: This question is from textbook College algebra Hi, I am having a hard time with this problem! I just don't get it. Question; Find the slope of the line satisfying the given conditions. #40. Horizontal, through (6,5) If you could help with this one I would appericate it. Thanks, Angela M1 solutions Answer 20846 by checkley71(8403)   on 2006-04-22 11:29:20 (Show Source): You can put this solution on YOUR website!A HORIZONTAL LINE HAS A SLOPE OF 0 AND THE Y INTERCEPT IS 5 BECAUSE A HORIZONTAL LINE ALWAYS HAS THE SAME Y COORDINATE. IN THIS CASE IT IS 5 THEREFORE THE Y INTERCEPT IS 5. THEREFORE THE EQUATION OF THIS LINE IS Y=MX+B OR Y=0*X+5 OR Y=5
 Linear-equations/34546: This question is from textbook College algebra Please help... I am going crazy!! Question; Find the slope of the line satisfying the given condtions. #36 Through (5,-3) and (1,-7). Thank you so much for your help! Angela M 1 solutions Answer 20845 by checkley71(8403)   on 2006-04-22 11:23:50 (Show Source): You can put this solution on YOUR website!THE SLOPE IS (-7-(-3))/1-5 OR -4/-4 OR 1 OR THE EQUATION IS Y=MX+B WITH A Y INTERCEPT OF(0,-8) THUS THE EQUATION BECOMES Y=X-8
 Linear-systems/34248: 5x-2y=-5 y-5x=3 solve by substitution1 solutions Answer 20821 by checkley71(8403)   on 2006-04-22 08:29:46 (Show Source): You can put this solution on YOUR website!5X-2Y=-5 -5X+Y=3 ADDING THE TWO EQUATIONS WE GET --------- -Y=-2 OR Y=2 SUBSTITUTING 2 FOR Y IN EQUATION 1 WE GET 5X-2*2-5 OR 5X-4=-5 OR 5X=-1 OR X=-1/5 PROOF -5(-1/5)+2=3 OR 1+2=3 OR 3=3
 Linear_Equations_And_Systems_Word_Problems/34266: A Chinese restaurant makes a special sauce for its dishes which consists of oyster sauce and chili oil. Oyster sauce costs \$5.96 per quart and chili oil costs \$8.04 per quart. How much of each should the restaurant use to make 60 quarts of the special sauce if a price of \$7.52 is desired?1 solutions Answer 20817 by checkley71(8403)   on 2006-04-22 08:21:08 (Show Source): You can put this solution on YOUR website!5.96X+8.04(60-X)=7.52*60 X BEING THE AMOUNT OF OYSTER SAUCE 5.96X+482.4-8.04X=451.2 OR -2.08X=-31.2 OR X=31.2/2.08 OR X=15 QUARTS OF OYSTER SAUCE THEREFORE THERE WERE 60-15=45 QUARTS OF CHILI SAUCE.
 Human-and-algebraic-language/34486: On a recent safari, a group of people and elephants contained 100 knees and 100 trunks. If each person took 3 trunks, how many people and how many elephants went on the safari?1 solutions Answer 20815 by checkley71(8403)   on 2006-04-22 08:13:33 (Show Source): You can put this solution on YOUR website!2P+4E=100 & 3P+E=100 OR E=100-3P SUBSTITUTING 100-3P FOR E IN THE FIRST EQUATION WE GET 2P+4(100-3P)=100 OR 2P+400-12P=100 OR -10P=-300 OR P=30 THEREFORE 2*30+4E=100 OR 60+4E=100 OR 4E=40 OR E=10 THERE WERE 30 PEOPLE AND 10 ELEPHANTS ON THE SAFARI.
 Expressions-with-variables/34536: Here is the equation I need help with:8x-12=15x-4x I'm homeschooled.1 solutions Answer 20813 by checkley71(8403)   on 2006-04-22 08:04:21 (Show Source): You can put this solution on YOUR website!8X-12=15X-4X OR COMBINING THE X TERMS WE GET 8X-15X+4X-12=0 OR -3X=12 OR 3X=-12 OR X=-12/3 OR X=-4 PROOF 8(-4)-12=15(-4)-4(-4) OR -32-12=-60+16 OR -44=-44
 Linear-equations/33929: This question is from textbook I need help with solving this equation, too: -27.23+x=9.771 solutions Answer 20796 by checkley71(8403)   on 2006-04-21 22:05:08 (Show Source): You can put this solution on YOUR website!-27.23+X=9.77 OR ADDING 27.23 TO EACH SIDE OF THE EQUATION WE GET X=9.77+27.23 OR X=37
 Expressions-with-variables/34275: My problem: Alan drives from his house to is mother's house in 9 hours. He drives 69 miles per hour. What is the distance from Alan's house to his mother's house?1 solutions Answer 20794 by checkley71(8403)   on 2006-04-21 21:49:29 (Show Source): You can put this solution on YOUR website!9 TIMES 69 = 621 MILES TO ALAN'S MOTHER'S HOUSE.
 Travel_Word_Problems/34519: nikki rode her bike 300 miles. 3 tires were used equally. How many miles did each tire endure in the trip1 solutions Answer 20791 by checkley71(8403)   on 2006-04-21 21:44:13 (Show Source): You can put this solution on YOUR website!300 MILES/3 TIRES = 100 MILES/1 TIRE OR EACH TIRE WENT 100 MILES.
 Quadratic_Equations/34475: Solve by completing the square: w^2 - 2w- 15 = 0 Solve x^2 + 2x - 8 < or = to 01 solutions Answer 20790 by checkley71(8403)   on 2006-04-21 21:42:13 (Show Source): You can put this solution on YOUR website!W~2-2W=15 OR W~2-2W+1=15+1 OR (W-1)(W-1)=16 OR W-1=4 OR W=5 X~2+2X-8=0 OR (X+4)(X-2)=0 OR X=-4 & X=+2
 Expressions-with-variables/34507: Convert this celsius temperature to 15 degrees farenheit using F=9/5C + 321 solutions Answer 20787 by checkley71(8403)   on 2006-04-21 21:29:38 (Show Source): You can put this solution on YOUR website!F=(9/5)12+32 OR F=9/60+32 OR F=1.8*12+32 OR F=21.6+32 OR F=53.6
 Human-and-algebraic-language/34513: A picture frame is 5 inches wider than it is high. If the height and the width are both increased by 3, the area is increased by 54 in2. Find the height and width of the picture frame. The height goes in the first box, and the width into the second box.1 solutions Answer 20786 by checkley71(8403)   on 2006-04-21 21:25:47 (Show Source): You can put this solution on YOUR website!X(X+5)+54=(X+3)(X+5+3) OR X~2+5X+54=X~2+11X+24 OR 5X+54=11X+24 OR 30=6X OR X=5 THIS IS THE HEIGHT (5 INCHES) AND THE WIDTH IS 10 INCHES.
 decimal-numbers/34514: What is 0.47 rounded to the nearest tenth?1 solutions Answer 20785 by checkley71(8403)   on 2006-04-21 21:17:53 (Show Source): You can put this solution on YOUR website!.50 the rule is -- if the digit to the immediate right of the digit to be rounded is 5 or greater then you add one to the digit being rounded and zero all digits to the right of the rounded digit. If the digit to the right of the digit to be rounded is 4 or less then you leave the digit as is and zer0 all the digits to the right of the rounded digit.
 test/34302: A rock is thrown from the top of a tall building. The distance D, in feet, between the rock and the ground T seconds after it is thrown is given by . How long after the rock is thrown is it 320 feet from the ground?1 solutions Answer 20679 by checkley71(8403)   on 2006-04-20 22:03:44 (Show Source): You can put this solution on YOUR website!320=-16T~2-4T=350 OR 16T~2+4T-30=0 OR (4T-5)(4T+6)=0 OR T=5/4 SEC OR 1.25 SEC
 Angles/34431: This question is from textbook Pre-Algebra The measure of the supplement of an angle is 15 degrees less than four times the measure of the complement. Find the measure of the angle. 1 solutions Answer 20678 by checkley71(8403)   on 2006-04-20 21:54:24 (Show Source): You can put this solution on YOUR website!(4X-15)+X=180 OR 5X=195 OR X-195/5 OR X=39 THUS THE 2 ANGLES ARE 39 & 4*39-15 OR 141 & 39+141=180
 Money_Word_Problems/34425: A bricklayer and an electrician together spend 90 hours working on a new house. If the bricklayer earns \$12 per hour, the electrician earns \$16 an hour, and the owner pays them a total of \$1350 for their work, how many hours does each worker spend on the house?1 solutions Answer 20677 by checkley71(8403)   on 2006-04-20 21:50:24 (Show Source): You can put this solution on YOUR website!B+E=90 & 12B+16E=1350 THUS B=90-E SUBSTITUTING 90-E FOR B IN THE SECOND EQUATION WE GET 12(90-E)+16E=1350 OR 1080-12E+16E=1350 OR 4E=270 OR E=270/4 OR E=67.5 HOURS THUS B WORKED 90-67.5 HOURS OR 22.5 HOURS PROOF 12*22.5+67.5*16=1350 OR 270+1080=1350 OR 1350=1350
 Money_Word_Problems/34426: A university bookstore recently sold a wirebound graph-paper notebook for \$2.50, and a college-ruled notebook for \$2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of \$118.60. How many of each type were sold?1 solutions Answer 20676 by checkley71(8403)   on 2006-04-20 21:41:15 (Show Source): You can put this solution on YOUR website!(50-X)2.50+2.3X=118.60 OR 125-2.5X+2.3X=118.60 OR -.2X=-6.40 OR X=6.40/.2 OR X=32 BOOKS THAT SOLD FOR \$2.30 AND THE REMAINDER (50-32=18) SOLD FOR \$2.50 OR \$45.00 THUS 32*\$2.30 = \$73.60 & \$45.00 = \$ 118.60
 Equations/34370: A shopper buys three oranges and five lemons for \$10.26, while a second shopper buys four lemons and six oranges for \$11.16. What is the price of each fruit?1 solutions Answer 20675 by checkley71(8403)   on 2006-04-20 21:33:09 (Show Source): You can put this solution on YOUR website!3O+5L=\$10.26 & 6O+4L=\$11.16 THUS 3O=10.26-5L THEREFORE 6O IN THE SECOND EQUATION =2(10.26-5L) OR 20.52-10L OR 20.52-10L+4L=11.16 OR -6L=-9.36 OR L=9.36/6 OR L=\$1.56 THEN 3O+5*1.56=10.26 OR 3O+7.80=10.26 OR 3O=2.46 OR O=2.46/3 OR O=\$.82
 Equations/34364: if john's present age is 3x years and jane is twice his age, what will be the sum of their ages in 5 years time1 solutions Answer 20674 by checkley71(8403)   on 2006-04-20 21:17:09 (Show Source): You can put this solution on YOUR website!JOHN=3X JANE=6X THEIR COMBINED AGE IN 5 YEARS WILL BE 3X+5+6X+5 OT 9X+10
 Equations/34371: In a triangle, the sum of the interior angles is 180 degrees. If angle A is three times as large as angle B, and angles B and C sum to 90 degrees, what is the measure of each angle?1 solutions Answer 20673 by checkley71(8403)   on 2006-04-20 21:09:20 (Show Source): You can put this solution on YOUR website!B+C=90 & A+B+C=180 THEN A=90 & SINCE 90=3B THEN B=30 AND C=60
 Money_Word_Problems/34417: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is \$5.15, including \$0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball?1 solutions Answer 20672 by checkley71(8403)   on 2006-04-20 21:04:46 (Show Source): You can put this solution on YOUR website!tHE .07TAX ON THE BALL = \$.18 THEREFORE .07X=.18 OR X=.18/.07 OR X=\$2.57 NOW ADD THE TAX OF \$.18 WE GET @2.75 FOR THE BALL WHICH LEAVES \$5.15-\$2.75 OR \$240 FOR THE GRAPEFRUIT.
 Equations/34375: On the first day of school, the percentage of boys in a particular class is 60%. During the school year, six girls move away, and are replaced in the class by six boys; this makes the class roster 75% boys. Find the number of boys and girls in the class on the first day of school.1 solutions Answer 20671 by checkley71(8403)   on 2006-04-20 20:57:02 (Show Source): You can put this solution on YOUR website!b=.6t b=boys t=total number in class b+6=.75t substituting .6t for b in the second equation we get .6t+6=.75t ot 6=.15t or t=6/.15 or t=40 therefore .6*40=boys or .6*40=24 boys and 16 girls (40-24) at the beginning of school. 24+6=30 OR .75*40=30
 Equations/34376: Walt made an extra \$9000 last year from a part-time job. He invested part of the money at a 9% annual rate of interest, and the rest at an 8% annual rate of interest. At the end of the year, he made a total of \$770 in interest. How much was invested at 8%?1 solutions Answer 20670 by checkley71(8403)   on 2006-04-20 20:48:59 (Show Source): You can put this solution on YOUR website!(9000-x).08+.09x=770 or 720-.08x+.09x=770 or .01x=50 or x=5000 thus the amount invested @ 8% is 9000-5000 or 4000
 Linear-systems/34401: I need to find the solpe of a line parallel to each line. 1.y=2x-31 solutions Answer 20669 by checkley71(8403)   on 2006-04-20 20:39:34 (Show Source): You can put this solution on YOUR website!The equation y=mx+b gives the slope as the value m thus in this equation rewritten is y=2x-3 thus the slope is 2 & every line with a slope of 2 is a parallel line to this one.