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Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
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Evaluation_Word_Problems/100627: the sum of three numbers is 20.The second number is 4 times the first, and the sum of the first and third is 8. find the number 1 solutions Answer 73290 by checkley71(8403)   on 2007-09-26 19:42:20 (Show Source): You can put this solution on YOUR website! x+y+z=20 y=4x x+z=8 or z=8-x x+(4x)+(8-x)=20 x+4x+8-x=20 4x=20-8 4x=12 x=12/4 x=3 answer y=4*3=12 answer. z=8-3=5 answer. proof 3+12+5=20 20=20

Graphs/100628: Graph ( y = 3x - 4 y = - 2x + 1 1 solutions Answer 73288 by checkley71(8403)   on 2007-09-26 19:37:59 (Show Source): You can put this solution on YOUR website! Y=3X-4 (RED LINE) Y=-2X+1 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 3x -4 and y = -2x +1).

Expressions-with-variables/100629: 8x=34-4x 1 solutions Answer 73287 by checkley71(8403)   on 2007-09-26 19:35:22 (Show Source): You can put this solution on YOUR website! 8X=34-4X 8X+4X=34 12X=34 X=34/12 X=2 5/6 ANSWER

test/100633: Find the slope and y-intercept of the equation y=-1/7x-10 1 solutions Answer 73284 by checkley71(8403)   on 2007-09-26 19:33:05 (Show Source): You can put this solution on YOUR website! Y=mX+b WHERE m=SLOPE & b=THE Y INTERCEPT. m=-1/7 IS THE SLOPE. b=-10 IS THE Y INTERCEPT.

test/100635: Write the equation of a line with slope -5/6 and y-intercept (0,-5) 1 solutions Answer 73282 by checkley71(8403)   on 2007-09-26 19:30:09 (Show Source): You can put this solution on YOUR website! Y=mX+b Y=-5/6X-5 ANSWER.

test/100637: Decide which of the two methods for graphing lines------the intercept method or the splope intercept method-----is more appropricate for graphing the equation 4x-9=39 1 solutions Answer 73281 by checkley71(8403)   on 2007-09-26 19:28:18 (Show Source): You can put this solution on YOUR website! 4X-9=39 4X=39+9 4X=48 X=48/4 X=12 ANSWER. FOR THIS EXAMPLE THE INTERCEPT IS BETTER AS THIS LINE IS A VERTICLE LINE THROUGH THE POINT (12,0)

test/100640: Write the equation of the line passing through (7,4) and (14,12) 1 solutions Answer 73279 by checkley71(8403)   on 2007-09-26 19:25:17 (Show Source): You can put this solution on YOUR website! FIRST WE FIND THE SLOPE (Y2-Y1)/(X2-X1)=(12-4)/(14-7)=8/7 IS THE SLOPE (m). NOW WE USE ONE SET OF (X,Y) VALUES AND THE SLOPE (m) 8/7 IN THE LINE EQUATION[Y=mX+b] & SOLVE FOR THE Y INTERCEPT (b). 4=9/8*7+b 4=63/8+b b=4-63/8 b=(32-68)/8 b=-36/8 b=-4.5 THUS THE LINE BEQUATION IS: Y=9X/8-4.5

Rate-of-work-word-problems/100647: Two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they sre 150 miles apart. Find the speeds of the boats. 1 solutions Answer 73275 by checkley71(8403)   on 2007-09-26 19:18:46 (Show Source): You can put this solution on YOUR website! 3X+3(X+10)=150 3X+3X+30=150 6X=150-30 6X=120 X=120/6 X=20 MPH FOR THE SLOWER BOAT 20+10=30 MPH FOR THE FASTER BOAT. PROOF 3*20+3(30)=150 60+90=150 150=150

Rate-of-work-word-problems/100658: A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Write and solve an equation to find the length of each side of the triangle. 1 solutions Answer 73273 by checkley71(8403)   on 2007-09-26 19:12:47 (Show Source): You can put this solution on YOUR website! X=SECOND SIDE 2X-65=FIRST SIDE X-10=THIRD SIDE X+(2X-65)+(X-10)=165 4X-65-10=165 4X=165+75 4X=240 X=240/4 X=60 CM FOR THE SECOND SIDE. 2*60-65=120-65=55 FOR THE FIRST SIDE. 60-10=50 FOR TH E THIRD SIDE. PROOF 60+55+50=165 165=165

Expressions-with-variables/100680: This question is from textbook intergrated mathematics a suit cost $150 .represent the cost of n suit 1 solutions Answer 73269 by checkley71(8403)   on 2007-09-26 19:06:48 (Show Source): You can put this solution on YOUR website! $150N IS THE PRICE OF N SUITS.

Percentage-and-ratio-word-problems/100675: The scale of an architectural drawing is 1/8 in. representing 1ft. Find the dimensions of a room that measures 9 1/2 by 12in. on the drawing. 1 solutions Answer 73267 by checkley71(8403)   on 2007-09-26 19:05:24 (Show Source): You can put this solution on YOUR website! 9.5/.125=76 FEET. 12/.125=96 FEET. 76 BY 96 FEET IS THE ACTUAL DIMENTIONS OF THE ROOM.

Quadratic_Equations/100676: Could someone please help me solve this equation?? Use the quadratic forumla. 1 solutions Answer 73265 by checkley71(8403)   on 2007-09-26 19:00:24 (Show Source): You can put this solution on YOUR website! 3X^2-2X+1=0 X=(2+-SQRT[-2^2-4*3*1]0/2*3 X=(2+-SQRT[4-12])/6 X=(2+-SQT-8)/6 X=2+-2.828i)/6 X=2/6+2.828i/6 X=1/3+.4714i ANSWER. X=(2-2.828i)/6 X=2/6-2.828i/6 X=1/3-.4714i ANSWER.

Square-cubic-other-roots/100671: Solve the equations. check the solutions. sqrt(2y+7)+4=y 1 solutions Answer 73261 by checkley71(8403)   on 2007-09-26 18:53:25 (Show Source): You can put this solution on YOUR website! SQRT(2Y+7)+4=Y SQRT(2Y+7)=Y-4 NOW SQUARE BOTH SIDES OF THE EQUATION. 2Y+7=Y^2-8Y+16 Y^2-8Y-2Y+16-7 Y^2-10Y+9=0 (Y-9)(Y-1)=0 Y-9=0 Y=9 ANSWER. Y-1=0 Y=1 ANSWER. PROOF SQRT(2*9+7)+4=9 SQRT(18=7)=9-4 SQRT25=5 5=5

Linear-equations/100666: Find m and b so that (-3,4) is a solution of the system? 1 solutions Answer 73259 by checkley71(8403)   on 2007-09-26 18:45:12 (Show Source): You can put this solution on YOUR website! 4=-3m+b IF m=0 THEN b=4. IF b=0 THEN m=-4/3 THERE ARE NO UNIQUE SOLUTIONS. AN INFINATE NUMBER OF LINES CAN BE DRAWN THROUGH THIS POINT. ALL WITH DIFFERENT SLOPES (m)& DIFFERENT Y INTERCEPTS (b) VALUES.

Numbers_Word_Problems/100663: Find five consecutive odd integers such that the sum of the first and the fifth is one less than three times the fourth. 1 solutions Answer 73257 by checkley71(8403)   on 2007-09-26 18:39:00 (Show Source): You can put this solution on YOUR website! X X+2 X+4 X+6 X+8 X+(X+8)=3(X+6)-1 2X+8=3X+18-1 2X-3X=17-8 -X=9 X=-9 X+2=-7 X+4=-5 X+6=-3 X+8=-1 PROOF -9+(-9+8)=3(-9+6)-1 -9-1=3*-3-1 -10=-10

Inequalities/100661: 4=4(x-5)+4-3x 1 solutions Answer 73253 by checkley71(8403)   on 2007-09-26 18:31:55 (Show Source): You can put this solution on YOUR website! 4=4(X-5)+4-3X 4=4X-20+4-3X 4=X-16 X=4+16 X=20 PROOF 4=4(20-5)+4-3*20 4=4*15+4-60 4=60+4-60 4=4

Expressions-with-variables/100657: WHAT ARE ALL THE FACTORS OF 45? 1 solutions Answer 73250 by checkley71(8403)   on 2007-09-26 18:28:35 (Show Source): You can put this solution on YOUR website! 1,3,5,9,15,45 ARE ALL THE FACTORS OF 45.

Geometry_Word_Problems/100653: How long must a guywire be to run from the top of an 18-ft pole to a point on level ground 16 ft away from the base of the pole? 1 solutions Answer 73248 by checkley71(8403)   on 2007-09-26 18:25:49 (Show Source): You can put this solution on YOUR website! HERE YOU HAVE A RIGHT TRIANGLE WITH SIDES OF 18 7 16 FEET. THE GUYWIRE IS THE HYPOTENUSE. USING THE PYTHAGOREON FORMULA WE GET: 18^2+16^2=H^2 324+256=H^2 580=H^2 H=SQRT580 H=24.08 FEET FOR THE GUYWIRE.

Miscellaneous_Word_Problems/100649: margo and tony had a running race. margo ran 10 feet farther than tony. together they ran 64 feet. how far did each person run? 1 solutions Answer 73246 by checkley71(8403)   on 2007-09-26 18:22:20 (Show Source): You can put this solution on YOUR website! (T+10)+T=64 2T=64-10 2T=54 T=54/2 T=27 FEET FOR TONY. MARGE=27+10=37 PROOF 27+37=64 64=64

Equations/100650: I don't understand this one: (-23)(-3) do I multiply the 2 negative numbers? 1 solutions Answer 73244 by checkley71(8403)   on 2007-09-26 18:18:19 (Show Source): You can put this solution on YOUR website! THE RULES ARE: (+*+=+), (+*-=-), (-*-=+) & (-*+=-). OR: LIKE SIGNS WHEN MULTIPLIED=(+). UNLIKE SIGNS WHEN MULTIPLIED=(-). THEREFORE THIS PROBLEM (-23)(-3)=+69 ANSWER.

Rate-of-work-word-problems/100645: Two airplanes depart from an airport traveling opposite directions. The second airplane is 200 miles per hour faster than the first. After 2 hours they are 1100 miles apart. Find the speeds of the airplanes. 1 solutions Answer 73242 by checkley71(8403)   on 2007-09-26 18:12:39 (Show Source): You can put this solution on YOUR website! 2X+2(X+200)=1100 2X+2X+400=1100 4X=1100-400 4X=700 X=700/4 X=175 MPH. FOR THE SLOWER PLANE. 175+200=375 MPH FOR THE FASTER PLANE. PROOF 2(175+375)=1100 2*550=1100 1100=1100

Graphs/100643: This question is from textbook texas algebra 2 The problem is that i have to find the slope of each line it gives me a x and y on each side like -3x+2y=7 and i can do that one but what do i do whenever there is no x only a y the problem is y=7 and i have to find the slope what do i do ? 1 solutions Answer 73240 by checkley71(8403)   on 2007-09-26 18:06:55 (Show Source): You can put this solution on YOUR website! Y=7 REPRESENTS A HORIZONTAL LINE THROUGH THE POINT (0,7).

test/100638: Are lines L1 through points (-3,2) and (0,4) and L2 through points (2,3) and (5,1) perpendicular? 1 solutions Answer 73238 by checkley71(8403)   on 2007-09-26 18:01:44 (Show Source): You can put this solution on YOUR website! L1 HAS A SLOPE=(4-2)/(0+3)=2/3 L2 HAS A SLOPE=(1-3)/(5-2)=-2/3 THESE SLOPES ARE NOT NEGATIVE RECIPRICALS OF EACH OTHER. THEREFORE THE L1 & L2 LINES ARE NOT PERPENDICULAR.

Mixture_Word_Problems/100632: this is a list of ingredients to make 16 brownies. use this list to answer both questions: 2/3 cup butter 5 squares (1 ounce ea) unsweetened chocolate 1 1/2 cups of sugar 2 teaspoons vanilla 2 eggs 1 cup flour 1. How much sugar is needed to make 8 brownies? 2. What is the greatest # of brownies that can be made if baker only has 1 cup of butter 1 solutions Answer 73236 by checkley71(8403)   on 2007-09-26 17:52:53 (Show Source): You can put this solution on YOUR website! 8/16=1.5/X CROSS MULTIPLY 8X-1.5*16 8X=24 X=3 CUPS OF SUGAR ARE REQUIRED. -------------------------------------- (2/3)/1=16/X 2X/3=16 2X=3*16 2X=48 X=48/2 X=24 COOKIES CAN BE MADE WITH I CUP OF BUTTER.

Geometry_Word_Problems/100616: You are going to make a box out of cardboard. The box needs to measure 10 cm. by 5 cm. by 5 cm. 10% of the final product will be wasted in the cutting process. How much cardboard do you need??? Thanks!! 1 solutions Answer 73234 by checkley71(8403)   on 2007-09-26 17:46:55 (Show Source): You can put this solution on YOUR website! IF THE FINAL PRODUCT IS 10X5X5. 10*15=150 2*5*5=50 THIS TOTAL SURFACE AREA IS 100+50=200. THE 10% WASTE IS 200*.1=20 SQUARE CM. THUS THE TOTAL AREA OF THE CARDBOARD WAS: 200+20=220 SQ CM.

Graphs/100619: Solve by graphing.Indicate wheter it is independent,inconsistent,or dependent.: y = 3x - 4 y = -2x + 1 1 solutions Answer 73230 by checkley71(8403)   on 2007-09-26 17:14:06 (Show Source): You can put this solution on YOUR website! y=3x-4 y=-2x+1 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = 3x -4 and y = -2x +1). x=1 & y=-1

expressions/100614: This question is from textbook Algebra:Structure and Method A discount store bought 12 dozen radios,each to be sold at $15 above cost. The store sold x of the radios at that price. Each of the remaining radios wassold at $4 below cost. If the store paid $11 for each radio, what was the total income from the sale? (hint: income=sales-cost) 1 solutions Answer 73229 by checkley71(8403)   on 2007-09-26 17:09:35 (Show Source): You can put this solution on YOUR website! 144*11=$1584 the price paid for all the radios income=(11+15)x+7(144-x)-1584 income=26x+1008-7x-1584 income=19x-576 [x being the number of radios sold for $15 above cost].

Surface-area/100526: the official volleyball measures 27 inches in circumference. what is the surface area? 1 solutions Answer 73204 by checkley71(8403)   on 2007-09-26 11:12:59 (Show Source): You can put this solution on YOUR website! TSA=4PIR^2 TSA=4*3.14(27/2)^2 TSA=12.56(13.5)^2 TSA=12.56*182.25 TSA=2,289.06 SQUARE INCHES IS THE TOTAL SURFACE AREA.

Equations/100549: Betty is .20 her mother's age. Thier combined ages are 30. How old is betty? 1 solutions Answer 73203 by checkley71(8403)   on 2007-09-26 11:06:52 (Show Source): You can put this solution on YOUR website! .2X+X=30 1.2X=30 X=30/1.2 X=25 THE MOTHER'S AGE. .2*25=5 PROOF 5+25=30 30=30

Volume/100554: I need to find out how many gumballs are in a gumball machine. If the diameter of the sphere is 4cm and if a square of 9 gumballs is 1/2cm. I am clueless. Please help. 1 solutions Answer 73202 by checkley71(8403)   on 2007-09-26 11:02:37 (Show Source): You can put this solution on YOUR website! V=4/3PIR^3 V=4/3*3.14*2^3 V=9.42/3*8 V=25.12 ANSWER FOR THE MACHINE VOLUME. 9/0.5=X/25.12 NOW CROSS MULTIPLY. .5X=226.08 X=226.08/.5 X=452.16 ANSWER FOR THE NUMBER OF BALLS. ---------------------------------------------- THIS ANSWER ASSUMES THE BALLS ALL STACK UP IN A SQUARE. HOWEVER: THAT ISN'T THE WAY THEY LIE IN THE MACHINE SO THE ACTUAL TOTAL NUMBER MAY BE SLIGHTLY LARGER.

Equations/100553: which one is greater? -8,+5,11 1 solutions Answer 73200 by checkley71(8403)   on 2007-09-26 10:53:07 (Show Source): You can put this solution on YOUR website! ANSWER IS 11. THE + IS IMPLIED.