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# Recent problems solved by 'checkley77'

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 Numbers_Word_Problems/275647: how many gallons of hydrochloric acid must be added to 12 gallons of a 30% solution to obtain a 40% solution?1 solutions Answer 201072 by checkley77(12569)   on 2010-03-01 16:30:31 (Show Source): You can put this solution on YOUR website!.30*12+x=.40(12+x) 3.6+x=4.8+.40x x-.40x=4.8-3.6 .6x=1.2 x=1.2/.6 x=2 gallons of acid needs to be added. Proof: .30*12+2=.4(12+2) 3.6+2=.4*14 5.6=5.6
 Expressions-with-variables/275655: If f(x)= x^ -1, find and simplify each expression f(-3) and f(1-x)1 solutions Answer 201067 by checkley77(12569)   on 2010-03-01 16:25:54 (Show Source): You can put this solution on YOUR website!f(x)= x^-1 -------------------- f(-3)=-3^-1 f(-3)=1/-3 ans. --------------------- f(1-x)=(1-x)^-1 f(1-x)=1/1-x ans.
 Finance/275660: (100P-4,000)/100p=.40 , solve for p1 solutions Answer 201065 by checkley77(12569)   on 2010-03-01 16:21:45 (Show Source): You can put this solution on YOUR website!(100P-4,000)/100p=.40 cross multiply 100p*.40=100p-4,000 40p-100p=-4,000 -60p=-4,000 p=-4,000/-60 p=200/3 ans. Proof: (100*200/3-4,000)/(100*200/3)=.4 (20,000/3-4,000)/(20,000/3)=.4 (20,000-4,000*3)/3*3/20,000=.4 (20,000-12,000)/3*3/20,000=.4 8,000/3*3/20,000=.4 24,000/60,000=.4 .4=.4
 Rational-functions/275663: please help the question wants me to simplify (a^2b^3)^0/c1 solutions Answer 201058 by checkley77(12569)   on 2010-03-01 16:05:27 (Show Source): You can put this solution on YOUR website!Any value with an exponent of (^0=1). (a^2b^3)^0/c (a^2b^3)/c ans.
 Parallelograms/275664: how do you find the measure of each interior angle? 1 solutions Answer 201057 by checkley77(12569)   on 2010-03-01 16:00:51 (Show Source): You can put this solution on YOUR website!Each interior angle of which figure - triangle, rectangle, parallelogram, square, trapezoid,rhombus, etc.?
 Exponents-negative-and-fractional/275683: simplify 4a exponent negative 3 1 solutions Answer 201056 by checkley77(12569)   on 2010-03-01 15:55:49 (Show Source): You can put this solution on YOUR website!4a^-3 4/a^3 OR (4a)^-3 1/(4a)^3 1/64a^3
 Percentage-and-ratio-word-problems/275685: The width of a poster is four fifths the length. It takes 36 ft. of metal framing to frame the poster. Find the dimensions of the poster.1 solutions Answer 201054 by checkley77(12569)   on 2010-03-01 15:51:33 (Show Source): You can put this solution on YOUR website!W=4/5L 2L+2W=36 2L+2(4/5L)=36 2L+8L/5=36 (5*2L+8L)/5=36 (10L+8L)/5=36 18L/5=36 CROSS MULTIPLY 18L=180 L=180/18 L=10 ANS. FOR THE LENGTH. W=4/5*10 W=40/5=8 ANS. FOR THE WIDTH. PROOF: 2*10+2*8=36 20+16=36 36=36
 Equations/275691: solve -16 is less than or equal to 3x-5 that is less than or equal to -4. Can you help me solve this?1 solutions Answer 201052 by checkley77(12569)   on 2010-03-01 15:44:05 (Show Source): You can put this solution on YOUR website!-16<=3x-5<=-4 add 5 to all three elements. -16+5<=3x<=-4+5 combine the integers. -11<=3x<1 divide by 3. -11/3<=x<=1/3 ans.
 Circles/275692: Esther and Jim plan to add a pond to their property. The area of the pond is 44 square meters. What is the radius?1 solutions Answer 201050 by checkley77(12569)   on 2010-03-01 15:38:54 (Show Source): You can put this solution on YOUR website!I'll assume that this pond is a circle. Area=pir^2 44=3.14*r^2 r^2=44/3.14 r^2=138.16 r=sqrt138.16 r=11.754 meters is the radius.
 Square-cubic-other-roots/275688: 12xy power2 +6x1 solutions Answer 201047 by checkley77(12569)   on 2010-03-01 15:35:58 (Show Source): You can put this solution on YOUR website!12xy^2+6x 6x(2y^2+1) ans. OR (12xy)^2+6x 144x^2y^2+6x 6x(24xy^2+1) ans.
 Geometry_Word_Problems/275462: elimination problem: two angles are complementary. the sum of the measure of the first angle and half the second angle is 64. find the measure of the smaller angle1 solutions Answer 200990 by checkley77(12569)   on 2010-03-01 10:30:38 (Show Source): You can put this solution on YOUR website! X+Y/2=64 -(X+Y=90) SUBTRACT ------------------- Y/2-Y=64-90 -Y/2=-26 CROSS MULTIPLY. -Y=-26*2 -Y=-52 Y=52 DEGREES FOR THE LARGER ANGLE. X+52/2=64 X+26=64 X=64-26 X=38 DEGREES FOR THE SMALLER ANGLE (X). PROOF: 38+52=90 90=90
 Quadratic_Equations/275468: X^4-12x^2+11=01 solutions Answer 200986 by checkley77(12569)   on 2010-03-01 10:19:37 (Show Source): You can put this solution on YOUR website!X^4-12x^2+11=0 (X^2-11)(X^2-1)=0 (X^2-11)(X+1)(X-1)=0 X^2-11=0 X^2=11 X=SQRT11 ANS. X+1-0 X=-1 ANS. X-1=0 X=1 ANS.
 Signed-numbers/275470: -8+3[-4-1] 2(-1)(-3)+4(-6) (3-7)(2-8) -5(-2)-4(6-10)1 solutions Answer 200985 by checkley77(12569)   on 2010-03-01 10:16:27 (Show Source): You can put this solution on YOUR website!-8+3[-4-1] -8-12-3=-23 ans. 2(-1)(-3)+4(-6) 6-24=-18 ans. (3-7)(2-8) -4*-6=24 ans. -5(-2)-4(6-10) 10-4*-4=10+16=26 ans.
 Linear_Equations_And_Systems_Word_Problems/275475: Fence painting. Darren and Douglas must paint the 792-foot fence that encircles their family home. Because Darren is older, he has agreed to paint 20% more than Douglas. How much of the fence will each boy paint? bobnpenguin@cox.net1 solutions Answer 200982 by checkley77(12569)   on 2010-03-01 10:10:23 (Show Source): You can put this solution on YOUR website!X+1.2X=792 2.2X=792 X=792/2.2 X=360 FT. FOR DOUGLAS. 792-360=432 FT FOR DARREN.
 Travel_Word_Problems/275481: one type of air blower can fill a blimp in 6 hours working alone, while a second blower fills the same blimp in 9 hours working alone. how long will it take both blowers working together.I need to know exactly how you got to the conclusion, not just the answer which i know is 3 hours and 36 minutes. Thanks1 solutions Answer 200981 by checkley77(12569)   on 2010-03-01 10:07:26 (Show Source): You can put this solution on YOUR website!THE FORMULA IS: 1/9+1/6=1/X FIND A COMMON DENOMINATOR & ADD THE LEFT SIDE. (6+9)/9*6=1/X ADD THE NUMERATOR & MULTIPLY THE DENOMINATOR. 15/54=1/X CROSS MULTIPLY. 15X=54 DIVIDE BY 15. X=54/15 X=3.6 HOURS TO FILL THE BLIMP WORKING TOGETHER. PROOF: 1/9+1/6=1/3.6 (6+9)/9*6=1/3.6 15/54=1/3.6 54=15*3.6 54=54
 Linear-systems/275482: -9 + 4x < 2x - 3 Solve using the addition and multiplication principles. 1 solutions Answer 200980 by checkley77(12569)   on 2010-03-01 10:01:23 (Show Source): You can put this solution on YOUR website!-9 + 4x < 2x - 3 -9+3<2X-4X -6<-2X -6/-2>X [NOTE THE SIGN CHANGES WHEN DIVIDING BY A NEGATIVE VALUE] 3>X ANS. PROOF: LET X=2.9 -9+4*2.9<2*2.9-3 -9+11.6<5.8-3 2.6<2.8
 Angles/275483: find the measure of an angle whose supplement measures 4 times its measure 1 solutions Answer 200979 by checkley77(12569)   on 2010-03-01 09:56:57 (Show Source): You can put this solution on YOUR website!X+4X=180 5X=180 X=180/5 X=36 DEGREES IS THE SMALLER ANGLE. 180-36=144 DEGREES IS THE LARGER ANGLE.
 Travel_Word_Problems/275486: a car traveling 60 mph enters a highway and drives for 8 min,then a truck enters the highway going 68mph. How long will it take for the truck to pass the car1 solutions Answer 200978 by checkley77(12569)   on 2010-03-01 09:54:47 (Show Source): You can put this solution on YOUR website!D=RT D=60T FOR THE CAR. D=68(T-8/60) SET THE 2 DISTANCES EQUAL & SOLVE FOR T 60T=68(T-4/30) 60T=68T-(68*4/30) 60T-68T=-272/30 -8T=-136/15 T=(-136/15)/-8 T=136/15*1/8 T=136/120 T=1.1333 HOURS OR 1 HOUR 8 MINUTES THE TRUCK WILL CATCH THE CAR. PROOF: 60*1.1333=68(1.1333-.1333) 68=68
 Triangles/275500: the perimeter of a right triangle is 90 feet. the ratio of the legs is 6:8. what is the length of the longest leg of the triangle1 solutions Answer 200976 by checkley77(12569)   on 2010-03-01 09:43:58 (Show Source): You can put this solution on YOUR website!Seeing as you have a right triangle with 2 sides=6 & 8 then: 6^2+8^2=c^2 36+64=c^2 100=c^2 c^2=100 c=sqrt100 c=10 Therefore: 6n+8n+10n=90 [n=the ratio multiplier] 24n=90 n=90/24 n=3.75 this is the multiplier for the ratio values. 6*3.75=22.5 8*3.75=30 10*3.75=37.5 Proof: 22.5+30+37.5=90 90=90
 Linear_Equations_And_Systems_Word_Problems/275522: Robinson: w=108+3.7h Miller: w=117+3.0h where w is weight (in pounds) and h is height over 5 feet (in inches) Question 1: If a woman is 5'6" tall, what does each model predict her weight to be? Question 2: If a woman weighs 140 pounds, what does each model predict her height to be? 1 solutions Answer 200965 by checkley77(12569)   on 2010-03-01 09:20:19 (Show Source): You can put this solution on YOUR website!h is height over 5 feet (in inches) YES: you forget the 5 ft. in the calculations. Robinson: w=108+3.7h Miller: w=117+3.0h 5'6" tall=6 inches. w=108+3.7*6=108+22.2=130.2 is the weight using Robinson's formula. w=117+3*6=117+18=135 is the weight using Miller's formula. weighs 140 pounds 140=108+3.7h 3.7h=140-108 3.7h=32 h=32/3.7 h=8.65 or 5 ft. 8.65 inches tall using Robinson'e formula. 140=117+3h 3h=140-117 3h=23 h=23/2 h=11.5 or 5 ft. 11.5 inches. tall using Miller's formula.
 Numbers_Word_Problems/275525: If n represents an odd number, which of these is an even number? a)4n + 1 b) 2n -1 c) 3n - 2 d) 3n +1 1 solutions Answer 200963 by checkley77(12569)   on 2010-03-01 09:04:21 (Show Source): You can put this solution on YOUR website!a)4n + 1 b) 2n -1 c) 3n - 2 d) 3n +1 Answer is d). Proof: 4*1+1=4+1=5 odd 2*1-1=2-1=1 odd 3*1-2=3-2=1 odd 3*1+1=3+1=4 even.
 Surface-area/275532: what is the length of a base of a traingle with a height of 864 and a area of 18711 solutions Answer 200962 by checkley77(12569)   on 2010-03-01 08:58:09 (Show Source): You can put this solution on YOUR website!AREA=BH/2 1,871=B*864/2 1,871=864B/2 864B=1,871*2 864B=3,742 B=3,742/864 B=4.331 ANS. FOR THE BASE MEASUREMENT. PROOF: 1,871=4.331*864/2 1,871=3,742//2 1,871=1,871
 Polygons/275539: the width of a rectangular table is 9dm less than its length. if the perimeter is to be atleast 250 dm and at most 346dm. What range if values can be integral?1 solutions Answer 200961 by checkley77(12569)   on 2010-03-01 08:51:18 (Show Source): You can put this solution on YOUR website!W=L-9 250<2L+2W<346 250<2L+2(L-9)<346 250<2L+2L-18<346 250<4L-18<346 250+18<4L<346+18 268<4L<364 268/4 67 W=67-9=76 MINIMUM ANS. FOR THE WIDTH & 67 FOR THE LENGTH. W=91-9=82 MAXIMUN ANS. FOR THE WIDTH & 91 FOR THE LENGTH.
 Polygons/275540: the width of a rectangular table is 9dm less than its length. if the perimeter is to be atleast 250 dm and at most 346dm. What range if values can be integral?1 solutions Answer 200960 by checkley77(12569)   on 2010-03-01 08:50:11 (Show Source): You can put this solution on YOUR website!W=L-9 250<2L+2W<346 250<2L+2(L-9)<346 250<2L+2L-18<346 250<4L-18<346 250+18<4L<346+18 268<4L<364 268/4 67 W=67-9=76 MINIMUM ANS. FOR THE WIDTH & 67 FOR THE LENGTH. W=91-9=82 MAXIMUN ANS. FOR THE WIDTH & 91 FOR THE LENGTH.
 Inequalities/275543: Which of the following is NOT a solution of the inequality 3x - 4 > -5x + 12? a)1.8 b) 2.5 c) 2.7 d) 3.0 1 solutions Answer 200959 by checkley77(12569)   on 2010-03-01 08:41:48 (Show Source): You can put this solution on YOUR website!3x - 4 > -5x + 12 3x+5x>12+4 8x>16 x>16/8 x>2 ans. a) 1.8 IS NOT A SOLUTION.
 Exponents/275544: (2^10 –2^9)(2^8 – 2^7) = a)2^2 b) 2^4 c) 2^8 d) 2^16 1 solutions Answer 200958 by checkley77(12569)   on 2010-03-01 08:39:38 (Show Source): You can put this solution on YOUR website!(2^10 –2^9)(2^8 – 2^7) 2^(10-9)(2^8-7) 2^1*2^1=2^(1+1)=2^2=4 ANS. Answer a)2^2.
 Linear_Equations_And_Systems_Word_Problems/275547: a rectangle has a perimeter of 18cm its length is 5cm more than the width. find the dimensions 1 solutions Answer 200957 by checkley77(12569)   on 2010-03-01 08:36:11 (Show Source): You can put this solution on YOUR website!L=W+5 2L+2W=18 REPLACE L WITH(W+5) IN THIS EQUATION & SOLVE FOR THE WIDTH (W). 2(W+5)+2W=18 2W+10+2W=18 COMBINE THE W TERMS & SUBTRACT 10 FROM BOTH SIDES.. 4W=18-10 4W=8 DIVIDE BY 4. W=8/4 REDUCE THE FRACTION. W=2 ANS. FOR THE WIDTH. L=2+5=7 ANS. FOR THE LENGTH. PROOF: 2*7+2*2=18 14+4=18 18=18
 Square-cubic-other-roots/275552: square root of 5 over square root of 8x1 solutions Answer 200956 by checkley77(12569)   on 2010-03-01 08:31:25 (Show Source): You can put this solution on YOUR website!sqrt5/sqrt8x sqrt5/sqrt(4*2x) 1/2[sqrt5/sqrt(2x)] ans.
 Graphs/275551: Determine whether 2 is a solution of the inequality: x > -2. Is 2 a solution?1 solutions Answer 200955 by checkley77(12569)   on 2010-03-01 08:28:04 (Show Source): You can put this solution on YOUR website! x > -2 2>-2 This is a true statement. Proof: Any positive number is > any negative number.
 Linear-equations/275192: write a line in parallel and perpendicular to 2x+y=-4 and the point (-4,-5)1 solutions Answer 200809 by checkley77(12569)   on 2010-02-28 17:39:31 (Show Source): You can put this solution on YOUR website!2x+y=-4 and the point (-4,-5) y=-2x-4 (red line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -2x -4). This line has a slope (m)=-2. A parallel line will also have a slope=-2 A perpendicular line will have a slope=1/2 [the negative reciprical of the original slope. The parallel lin ethrough (-4,-5) is: -5=-2*-4+b -5=8+b b=-5-8 b=-13 the Y intercept. y=-2x-13 (red line) -5=-4/2+b -5=-2+b b=-5+2 b=-3 y=x/2-3 (green line) (graph 300x300 pixels, x from -10 to 20, y from -10 to 20, of TWO functions -2x -13 and x/2 -3).
 Probability-and-statistics/275194: how do you find the probability of 1 and 40 1 solutions Answer 200801 by checkley77(12569)   on 2010-02-28 17:26:58 (Show Source): You can put this solution on YOUR website!If you mean 1 in 40 then: 1/40=.025 or 2.5 %.