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Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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Numbers_Word_Problems/242183: One week a business sold 40 scarves. White ones cost $4.95, and printed ones cost $7.95. In all, total sales of scarves were $282. How many of each kind were sold? 1 solutions Answer 177296 by checkley77(12569)   on 2009-11-23 18:59:52 (Show Source): You can put this solution on YOUR website! P+W=40 OR P=40-W 4.95W+7.95(40-W)=282 4.95W+318-7.95W=282 -3W=282-318 -3W=-36 W=-36/3 W=12 WHITE SCARVES WERE SOLD. 40-12=28 PRINTED SCARVES WERE SOLD. PROOF: 4.95*12+7.95*28=282 59.4+222.6=182 282=282

Polynomials-and-rational-expressions/242186: How would you solve this problem: Perform the indicated Operation. (x-7)(3x-4) 1 solutions Answer 177293 by checkley77(12569)   on 2009-11-23 18:52:00 (Show Source): You can put this solution on YOUR website! (x-7) (3x-4) -------------- 3x^3-21x-4x+28 3x^2-25x+28 ans.

Square-cubic-other-roots/242165: 6x^2+10x=-1 1 solutions Answer 177292 by checkley77(12569)   on 2009-11-23 18:48:33 (Show Source): You can put this solution on YOUR website! 6x^2+10x=-1 6x^2+10x+1=0 x=(-10+-sqrt[10^2-4*6*1])/2*6 x=(-10+-sqrt[100-24)/12 x=(-10+-sqrt76)/12 x=(-10+-8.718)/12 x=(-10+8.718)/12 x=-1.28/12 x=-.107 ans. x=(-10-8.718)/12 x=-18.718/12 x=-1.56 ans.

Linear-equations/242067: Graph the line that goes through point (-5,5)with slope 1/5 1 solutions Answer 177287 by checkley77(12569)   on 2009-11-23 18:36:12 (Show Source): You can put this solution on YOUR website! (-5,5)with slope 1/5 Y=mX+b 5=1/5*-5+b 5=-5/5+b 5=-1+b b=5+1 b=6 Y=X/5+6 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/5 +6).

Expressions-with-variables/242078: how do you solve something like this 1/2 b+4=1/8 b+88? 1 solutions Answer 177281 by checkley77(12569)   on 2009-11-23 18:22:24 (Show Source): You can put this solution on YOUR website! 1/2b+4=1/8b+88 b/2+4=b/8+88 b/2-b/8=88-4 (4b-b)/8=84 3b/8=84 3b=84*8 3b=672 b=672/3 b=224 ans. Proof: 224/2+4=224/8+88 112+4=28+88 116=116

Linear_Equations_And_Systems_Word_Problems/242080: the measure of the largest angle of a triangle is 45 degrees moe than the measure of the smallest angle. The middle angle measures 65 degrees. What are the measures of the largest and smallest angles? 1 solutions Answer 177279 by checkley77(12569)   on 2009-11-23 18:20:39 (Show Source): You can put this solution on YOUR website! x+45+65=180 x=180-45-65 x=70 degrees for the missing angle. Proof: 70+45+65=180 180=180

Radicals/242084: Please help me solve the following equation. 1 solutions Answer 177278 by checkley77(12569)   on 2009-11-23 18:17:13 (Show Source): You can put this solution on YOUR website! sqrt(3x-5)=x-3 square both sides 3x-5=(x-3)^2 3x-5=x^2-6x+9 x^2-6x-3x+9+5=0 x^2-9x+14=0 (x-7)(x-2)=0 x-7=0 x=7 ans. x-2=0 x=2 ans.

Expressions-with-variables/242092: 1/2b+4=1/8b+88. how do you do these one? cause is irritating me. 1 solutions Answer 177276 by checkley77(12569)   on 2009-11-23 18:10:29 (Show Source): You can put this solution on YOUR website! 1/2b+4=1/8b+88 b/2+4=b/8+88 b/2-b/8=88-4 (4b-b)/8=84 3b/8=84 3b=84*8 3b=672 b=672/3 b=224 ans. Proof: 224/2+4=224/8+88 112+4=28+88 116=116

Numeric_Fractions/242099: -(-4x+5y-18z) 1 solutions Answer 177274 by checkley77(12569)   on 2009-11-23 18:06:37 (Show Source): You can put this solution on YOUR website! -(-4x+5y-18z) 4x-5y+18z ans.

test/242102: how can you factor a trinomial such as (3x^2)- 14x + 6 1 solutions Answer 177273 by checkley77(12569)   on 2009-11-23 18:05:21 (Show Source): You can put this solution on YOUR website! (3x^2)- 14x + 6 3X^2-14X+6 x=(14+-sqrt[-14^2-4*3*6})/2*3 x=(14+-sqrt[196-72])/6 x=(14+-sqrt124)/6 x=(-14+-11.1355)/6 x=(-14+11/1355)/6 x=-2.8645/6 x=-.477 ans. x=(-14-11.1355)/6 x=-25.1355/6 x=4.189 ans.

Numbers_Word_Problems/242104: The sum of two numbers is 50. If twice the larger is subtracted from four times the smaller, the result is 8. Find the numbers. 1 solutions Answer 177266 by checkley77(12569)   on 2009-11-23 17:50:54 (Show Source): You can put this solution on YOUR website! X+Y=50 OR X=50-Y 4X-2Y=8 4(50-Y)-2Y=8 200-4Y-2Y=8 -6Y=8-200 -6Y=-192 Y=-192/-6 Y=32 ANS. X+32=50 X=50-32 X=18 ANS. PROOF: 4*18-2*32=8 72-64=8 8=8

Rectangles/242105: the width of a rectangle is one-half of the length. if the width is 6 meters, what is the length 1 solutions Answer 177262 by checkley77(12569)   on 2009-11-23 17:46:44 (Show Source): You can put this solution on YOUR website! W=L/2 6=L/2 L=2*6 L=12 ANS.

Graphs/242109: Find an equation of the line having the given slope and containing the given point: m=8/9,(2,-2) 1 solutions Answer 177261 by checkley77(12569)   on 2009-11-23 17:44:58 (Show Source): You can put this solution on YOUR website! m=8/9,(2,-2) -2=8/9*2+b -2=16/9+b b=-2-16/9 b=(-2*9-16)/9 b=(-18-16)/9 b=-34/9 the y intercept. Y=8x/9-34/9 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 8x/9 -34/9).

Surface-area/242134: I have a word problem as states Sara has a favorite print whose length is 3 inches longer than twice the width. If the area is 90 square inches find its dimensions? 1 solutions Answer 177259 by checkley77(12569)   on 2009-11-23 17:39:38 (Show Source): You can put this solution on YOUR website! L=2W+3 LW=90 (2W+3)W=90 2W^2+3W-90=0 (2W+15)(W-6)=0 W-6=0 W=6 ANS. FOR THE WIDTH. L=2*6+3 L=12+3=15 ANS. FOR THE LENGTH. PROOF: 6*15=90 90=90

Rectangles/242137: If You Have 45 inches of fencing to use.what dimensions would give her the most area. just to let you know the perimeter equals 45 not the area 1 solutions Answer 177257 by checkley77(12569)   on 2009-11-23 17:33:35 (Show Source): You can put this solution on YOUR website! 45/4=11.25 would be the length of each of the 4 sides of this square. 11.25*11.25=126.5625 in^2 is the max. area. Proof: Try 11.2*11.3=126.56

Linear-equations/242127: How would you graph the equation, y=3x-2 and identify the y intercept? 1 solutions Answer 177254 by checkley77(12569)   on 2009-11-23 17:27:17 (Show Source): You can put this solution on YOUR website! y=3x-2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 3x -2). Y intercept=-2

Quadratic_Equations/242128: how to factor -4.9x^2+24x+2=0 1 solutions Answer 177253 by checkley77(12569)   on 2009-11-23 17:25:11 (Show Source): You can put this solution on YOUR website! -4.9x^2+24x+2=0 x=(-24+-sqrt[24^2-4*-4.9*2])/2*-4.9 x=(-24+-sqrt[576+39.2])/-9.8 x=(-24+-sqrt[615.2)/-9.8 x=(-24+-24.8)/-9.8 x=(-24+24.8)/-9.8 x=.8/-9.8 x=-.08 ans. x=(-24-24.8)/-9.8 x=-48.8/-9.8 x=4.98 ans.

Rectangles/242129: The perimeter of a rectangle is 18 feet, and the area of the rectangle is 20 square feet. What is the length of the rectangle? 1 solutions Answer 177251 by checkley77(12569)   on 2009-11-23 17:17:52 (Show Source): You can put this solution on YOUR website! xy=20 x=20/y 2x+2y=18 replace x with (20/y) & solve for y. 2(20/y)+2y=18 40/y+2y=18 (40+2y*y)/y=18 40+2y^2=18y 2y^2+40=18y 2y^2-18y+40=0 2(y^2-9y+20)=0 (y-5)(y-4)=0 y-5=0 y=5 ans. y-4=0 y=4 ans x=20/5=4 ans x=20/4=5 ans. Proof: 4*5=20 2*4+2*5=18 8+10=18 18=18

Numeric_Fractions/242113: We tried to solve this type of problem.....thought we were correct, however the teacher said otherwise. Of course she said we could "re-do" the incorrect problems, but she gave no further explanation. Use prime factors to simplify each expression. 4 4/15 + 2 4/39= 1 solutions Answer 177246 by checkley77(12569)   on 2009-11-23 17:08:41 (Show Source): You can put this solution on YOUR website! 4 4/15 + 2 4/39 (4*15+4)/15+(2*39+4)/39 chNge to improper fractions. (60+4)/15+(78+4)/39 64/15+82/39 find common denominator & combine. (64*39+82*15)/15*39 (2,496+1,230)/585 3,726/585 reduce divide by 9/9. 414/65 ans.

Miscellaneous_Word_Problems/242118: Can you please help me?!?!? Thanks sooo much:) The state of alabama is about 335 miles long and 210 miles wide. what scale would you use to draw a map of alabama on 8 1/2"x11" paper to make the map as large as possible? THANK YOU! 1 solutions Answer 177241 by checkley77(12569)   on 2009-11-23 16:57:16 (Show Source): You can put this solution on YOUR website! 335/11=30.45 210/8.5=24.7 A 30.5:1 scale is the largest you could use. Proof: 335/30.5=10.98 inches. 210/30.5=6.88 inches. The resultant map would be 6.88 by 10.98 inches.

Proportions/242121: OK i need help with this question just on how to set it up- A man combines 7 fl oz of oil with 4 fl oz of vinegar. One day he needed a larger amount, so he used 8 fl oz of oil. How much vinegar did he need? please show me how to set it up into a proportion!!! 1 solutions Answer 177236 by checkley77(12569)   on 2009-11-23 16:50:37 (Show Source): You can put this solution on YOUR website! 7/4=8/x cross multiply. 7x=4*8 7x=32 x=32/7 x=4.57 oz. of vinegar are needed.

Graphs/242120: how can i find the intersection points of y-3=x^2-4x and y=x-1. 1 solutions Answer 177234 by checkley77(12569)   on 2009-11-23 16:48:12 (Show Source): You can put this solution on YOUR website! y-3=x^2-4x and y=x-1. Graphing is the way to find the intersection points. y-3=x^2-4x y=x^2-4x+3 (red curve) y=x-1 (green line) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions x -1 and x^2 -4x +3). Intercepts are (1,0) & (4,3)

Mixture_Word_Problems/242116: I need to know the method of finding the answer the following problem. Jim can fill a pool carrying buckets of water in 30 minutes. Sue can do the same job in 45 minutes. Tony can do the same job in 1 1/2 hours. How quickly can all three fill the pool together? 1 solutions Answer 177232 by checkley77(12569)   on 2009-11-23 16:41:40 (Show Source): You can put this solution on YOUR website! x/30+x/45+x/90=1 (3x+2x+1x)/90=1 6x/90=1 6x=90 x=15 min. to fill the pool when they work together.

Graphs/241917: grapgh the equation and identify the y-intercept. y=-3/2x-4 1 solutions Answer 177168 by checkley77(12569)   on 2009-11-23 10:33:02 (Show Source): You can put this solution on YOUR website! y=-3/2x-4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x/2 -4). The y intercept=-4

Linear-systems/241984: 3(x-3)+4(x+1)= -12 1 solutions Answer 177164 by checkley77(12569)   on 2009-11-23 10:27:41 (Show Source): You can put this solution on YOUR website! 3(x-3)+4(x+1)= -12 3X-9+4X+4=-12 7X=-12+9-4 7X=-7 X=-7/7 X=-1 ANS. PROOF: 3(-1-3)+4(-1+1)=12 3*-4+0=-12 -12=-12

Linear-systems/241927: 3x+2y+14, 2x+2y=16 then y=10 1 solutions Answer 177162 by checkley77(12569)   on 2009-11-23 10:22:55 (Show Source): You can put this solution on YOUR website! 3x+2y+14 2Y=-3X+14 Y=-3X/2+14/2 Y=-3X/2+7 (RED LINE) 2x+2y=16 2Y=-2X+16 Y=-2X/2+16/2 Y=-X+8 (GREEN LINE) (graph 300x200 pixels, x from -6 to 5, y from -10 to 12, of TWO functions -3x/2 +7 and -x +8). -3X/2+7=-X+8 -3X/2+X=8-7 (-3X+2X)/2=1 -X/2=1 -X=2 X=-2 Y=-(-2)+8 Y=10 ANSWER.

Functions/241977: Find f(-2) when f(x)=x2+4x-6. The x is squared. 1 solutions Answer 177157 by checkley77(12569)   on 2009-11-23 09:58:52 (Show Source): You can put this solution on YOUR website! f(x)=x^2+4x-6. F(-2)=(-2)^2+4*-2-6 F(-2)=4-8-6 F(-2)=-10 ANS.

Linear_Equations_And_Systems_Word_Problems/241980: The length of a rectangle is 5 cm more than its width. If its perimeter is 58 cm,calculate its dimension. 1 solutions Answer 177151 by checkley77(12569)   on 2009-11-23 09:50:12 (Show Source): You can put this solution on YOUR website! L=W+5 2L+2W=58 2(W+5)+2W=58 2W+10+2W=58 4W=58-10 4W=48 W=48/4 W=12 ANS. FOR THE WIDTH. L=12+5=17 ANS. FOR THE LENGTH. PROOF: 2*17+2*12=58 34+24=58 58=58

Functions/241978: Find the slope of the line and sketch the graph. 2x+3y=13 1 solutions Answer 177148 by checkley77(12569)   on 2009-11-23 09:46:46 (Show Source): You can put this solution on YOUR website! 2x+3y=13 3Y=-2X+13 Y=-2X/3+13/3 THE SLOPE=-2/3 (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -2x/3 +13/3).

Number-Line/241973: on the number line what is half way between 2/3 and 3/4? a) 5/14 b) 7/12 c) 13/18 d) 17/24 e)8/9 1 solutions Answer 177146 by checkley77(12569)   on 2009-11-23 09:37:14 (Show Source): You can put this solution on YOUR website! (3/4-2/3)/2 [(3*3-2*4)/12]/2 [(9-8)/12]*1/2 1/12*1/2 1/24 IS HALF THE DISTANCE BETWEEN THESE 2 POINTS. 3/4-1/24 (3*6-1)/24 (18-1)/24 17/24 ANSWER D).

Money_Word_Problems/241975: The owner of Mike`s Coffeehouse found that on one day the number of orders for tea was 1/3 the number of orders for coffee. If the total number of orders for the two drinks was 76, how many orders were placed for tea? 1 solutions Answer 177145 by checkley77(12569)   on 2009-11-23 09:28:56 (Show Source): You can put this solution on YOUR website! T=C/3 T+C=76 C/3+C=76 (C+3C)/3=76 4C/3=76 4C=3*76 4C=228 C=228/4 C=57 CUPS OF COFFEE. T=57/3=19 CUPS OF TEE.