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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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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 p 1 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/c 1 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 +6x 1 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 angle 1 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=0 1 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.net 1 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. Thanks 1 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 car 1 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 triangle 1 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 1871 1 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 8x 1 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 %.