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# Recent problems solved by 'checkley77'

checkley77 answered: 12560 problems
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 Graphs/286777: Write the equation using function notation... x-y=-31 solutions Answer 207962 by checkley77(12569)   on 2010-03-30 08:27:18 (Show Source): You can put this solution on YOUR website!x-y=-3 -y=-x-3 y=x+3 ans.
 Graphs/286778: Graph the function by finding x and y intercepts.... x-y=31 solutions Answer 207961 by checkley77(12569)   on 2010-03-30 08:25:54 (Show Source): You can put this solution on YOUR website!x-y=3 -y=-x+3 y=x-3 y=(0,-3) -------- 0=x-3 x=3 (3,0) (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x -3
 Graphs/286779: Graph the equation... y+2=01 solutions Answer 207959 by checkley77(12569)   on 2010-03-30 08:18:16 (Show Source): You can put this solution on YOUR website!y+2=0 y=-2 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2).
 test/286575: 0>18/15-3/5v solve the inequality please and thank you1 solutions Answer 207873 by checkley77(12569)   on 2010-03-29 17:52:39 (Show Source): You can put this solution on YOUR website!0>18/15-3/5v -18/15>-3V/5 -6/5>-3V/5 -6>-3V -6/-3>V [NOTE THE SIGN CHANGE WHEN DIVIDING BY A NEGATIVE VALUE. 2 PROOF: LET V=3 0>18/15-3/5*3 0>6/5-9/5 0>-3/5.
 Expressions-with-variables/286303: the body mass index is given by the formula, or model, I=700w/h(2), where w= weight and h = height in inches. Jerome is 76 inches tall. what weight will keep his body mass index between 25 and 33 Jeromes body mass index will fall between 25 and 33 for the set of weights such that ? 1 solutions Answer 207872 by checkley77(12569)   on 2010-03-29 17:44:49 (Show Source): You can put this solution on YOUR website!I=700w/h(2) 25<700W/76^2<33 25<700W/5776<33 25*5778<700W<33*5776 144,400<700W<190,608 144,400/700 206.3
 Money_Word_Problems/286420: An Investment of \$4400.00 is made into a 10.5% annual simple interest account. How much money is deposited into an 8% annual simple interest account if the total annual, interest earned on both accounts is 9% of the total investment. 1 solutions Answer 207871 by checkley77(12569)   on 2010-03-29 17:33:30 (Show Source): You can put this solution on YOUR website!.105X+.08(4400-X)=4400*.09 .105X+352-.08X=396 .025X=396-352 .025X=44 X=44/.025 X=1,760 AMOUNT INVESTED @ 10.5% 4,400-1,760=2,640 AMOUNT INVESTED @ 8%. PROOF: .105*1,760+.08*2,640=4,400*.09 184.8+211.2=396 396=396
 Money_Word_Problems/286439: Jack loaned Bob \$1,500 at an annual interest rate of 7%. After one year, how much will Bob owe Jack? -I need a thorough explanation as to how to solve these types of questions also. Thank you!1 solutions Answer 207864 by checkley77(12569)   on 2010-03-29 17:19:15 (Show Source): You can put this solution on YOUR website!1,500(1+.07)^1 1,500*1.07=\$1,605 ANS.
 Finance/286502: How much would \$500 invested at 7% interest compounded annually be worth after 4 years? Round your answer to the nearest cent. Do not include units in your answer.1 solutions Answer 207852 by checkley77(12569)   on 2010-03-29 16:52:40 (Show Source): You can put this solution on YOUR website!500(1+.07)^4 500*1.07^4 500*1.3108=\$655.40 ANS.
 Expressions-with-variables/286526: Intergration Algebra Variables and expressions Evaluate each expression if a=2, b=3, c=4 and d=12 c+2a= Please show me how to do these1 solutions Answer 207849 by checkley77(12569)   on 2010-03-29 16:46:34 (Show Source): You can put this solution on YOUR website!if a=2, b=3, c=4 and d=12 c+2a=4+2*2=4+4=8 ANS.
 Miscellaneous_Word_Problems/286527: 3 adults and 4 children must pay \$159.00 for tickets. 2 adults and 3 children must pay 112.00. find the price of and adults ticket and a child ticket.1 solutions Answer 207847 by checkley77(12569)   on 2010-03-29 16:44:21 (Show Source): You can put this solution on YOUR website!3A+4C=159 MULTIPLY BY 2. 2A+3C=112 MULTIPLY BY -3 & ADD. 6A+8C=318 -6A-9C=-336 -------------------- -C=-18 C=18 ANS. 3A+4*18=159 3A+72=159 3A=159-72 3A=87 A=87/3 A=29 ADULT TICKETS. 2*29+3*18=112 58+54=112 112=112
 absolute-value/286532: How do I solve x+y=1350 \$2x+\$5y=4501 solutions Answer 207846 by checkley77(12569)   on 2010-03-29 16:37:25 (Show Source): You can put this solution on YOUR website!x+y=1350 x=1350-y \$2x+\$5y=450 Replace x with (1350-y) in the second equation & solve for y. 2(1350-y)+5y=450 2700-2y+5y=450 3y=450-2700 3y=-2250 y=-2250/3 y=-750 ans. x-750=1350 x=1350+750 x=2100 ans, Proof: 2*2100+5*-750=450 4200-3750=450 450=450
 Miscellaneous_Word_Problems/286535: What two-digit number is equal to the square of its units digit?1 solutions Answer 207843 by checkley77(12569)   on 2010-03-29 16:30:13 (Show Source): You can put this solution on YOUR website!36=6^2 ans.
 Linear_Equations_And_Systems_Word_Problems/286537: I am having difficulty setting up my word problems. What is the best way for me to figure out how to write equations, especially like the one below: The Math club bought 15 pizzas. Cheese pizzas cost \$9 each and specialty pizzas cost \$15 each. If the total cost is \$189, how many of each kind was ordered? I came up with \$9x+\$15y=\$189 x+y=151 solutions Answer 207842 by checkley77(12569)   on 2010-03-29 16:28:33 (Show Source): You can put this solution on YOUR website!\$9x+\$15y=\$189 x+y=15 or x=15-y Now replace x with (15-y) in the first equation & solve for y. 9(15-y)+15y=189 135-9y+15y=189 6y=189-135 6y=54 y=54/6 y=9 \$9 dollar pizzas were bought. x=15-9=6 \$15 dollar pizzas were bought. Proof: 9*15+6*9=189 135+54=189 189=189
 Expressions-with-variables/286538: Can you help me with this? Fill in the blanks. a) b) Thank you!1 solutions Answer 207841 by checkley77(12569)   on 2010-03-29 16:22:04 (Show Source): You can put this solution on YOUR website!Factor out the common value 7 from each term. 14x^2-21=7(x^2-3) a) Factor the equation: Factor 3x^3=3x & x Factor -28=-7 & 4 Now combine the terms. (3x-7)(x+4) Prove using the FOIL technique. 3x^2-7x+12x-28 3x^2+5x-28 b)
 test/286554: the sales tax rate in west Clinton is 7.75%. when Elisa purchased a \$468.99 refrigerator, the clerk stated that the tax would be about \$75. use estimation to determine if this amount is reasonable. explain how your estimation determined your answer. calculate the actual final sales price including taxes.1 solutions Answer 207839 by checkley77(12569)   on 2010-03-29 16:17:03 (Show Source): You can put this solution on YOUR website!Estimate 7.75% = 8%. Estimate \$468.99 = \$ 500. .08*500=\$40 is the estimate. \$75 is an unreasonable estimate.
 Quadratic_Equations/286393: 1/5 r^2-2= 5/61 solutions Answer 207695 by checkley77(12569)   on 2010-03-29 10:49:03 (Show Source): You can put this solution on YOUR website!1/5 r^2-2= 5/6 r^2/5=5/6+2 r^2/5=5/6+12/6 r^2/5=17/6 6r^2=5*17 6r^2=85 r^2=85/6 r=sqrt85/6 r=3.7639 ans. Proof" 1/5*3.7639^2-2=5/6 1/5*14.1668-2=.8333 2.8333-2=.8333 .8333=.8333
 Linear-systems/286399: i need to find a linear function whose graph has a slope of -8 and y intercept (0,4)1 solutions Answer 207691 by checkley77(12569)   on 2010-03-29 10:25:20 (Show Source): You can put this solution on YOUR website!slope of -8 and y intercept (0,4) Y=-8X+4 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -8x +4).
 Graphs/286400: point (2,3); slope 41 solutions Answer 207690 by checkley77(12569)   on 2010-03-29 10:21:52 (Show Source): You can put this solution on YOUR website!point (2,3); slope 4 Y=mX+b 3=4*2+b 3=8+b b=3-8 b=-5 The Y intercept. Y=4X-5 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 4x -5).
 Equations/286367: two consecutive positive integers whose product is 80.1 solutions Answer 207688 by checkley77(12569)   on 2010-03-29 10:12:39 (Show Source): You can put this solution on YOUR website!Let x & x+1 be the 2 positive integers. x(x+1)=90 x^2+x-90=0 (x+10)(x-9)=0 x-9=0 x=9 ans. 9+1=10 ans. Proof: 9*10=90 90=90
 test/286371: how do you graph the following:y=1/3+11 solutions Answer 207687 by checkley77(12569)   on 2010-03-29 10:08:57 (Show Source): You can put this solution on YOUR website!IF yu mean: y=1/3x+1 then: This line has a slope=1/3 & a y intercept=1. (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/3 +1).
 Travel_Word_Problems/286372: tom leaves school on a bike going 10 mph. zeke leaves school 1 hour later going the same direction at a rate of 30 mph. how long before zeke overtakes tom?1 solutions Answer 207685 by checkley77(12569)   on 2010-03-29 10:05:01 (Show Source): You can put this solution on YOUR website!D=RT D=10T FOR TOM. D=30(T-1) FOR ZEKE. SET THESE 2 EQUATIONS EQUAL: 10T=30(T-1) 10T=30T-30 10T-30T=-30 -20T=-30 T=-30/-20 T=1.5 HOURS THEY WILL MEET. PROOF: 10*1.5=30(1.5-1) 15=30*.5 15=15
 Money_Word_Problems/286374: Annie made a real estate investment that earned 7.5% annual simple interest. She made a second investment that was half the amount of the first and earned 9% interest. The total amount of interest earned was \$900. how much did annie invest in the second investment1 solutions Answer 207684 by checkley77(12569)   on 2010-03-29 09:59:48 (Show Source): You can put this solution on YOUR website!.075*2x+.09x=900 .15x+.09x=900 .24x=900 x=900/.24 x=3,750 amount of the 9% investment. 2*3,750=7,500 amount invested @ 7.5%. Proof: .075*7,500+.09*3,750=900 562.50+337.50=900 900=900
 Polynomials-and-rational-expressions/286380: Solve the formula A = P(1 + rt) for r. 1. r = AP – t 2. r = A-P/t 3. r = A(1+t) 4. r = A-P/pt Thank you !!1 solutions Answer 207683 by checkley77(12569)   on 2010-03-29 09:51:40 (Show Source): You can put this solution on YOUR website!A = P(1 + rt) for r A=P+Prt Prt=A-P r=(A-P)/Pt Answer 4.
 Linear-equations/286381: 32 - 2 (5-2)^2 =45x1 solutions Answer 207682 by checkley77(12569)   on 2010-03-29 09:48:50 (Show Source): You can put this solution on YOUR website!32 - 2 (5-2)^2 =45x 32-2*3^2=45x 32-2*9=45x 32-18=45x 45x=14 x=14/45 ans.
 Polynomials-and-rational-expressions/286382: Solve x + yr = z for y. A. y = z/r - x B. y = z-x/r C. y = r(z – x) D. y = zr – x 1 solutions Answer 207681 by checkley77(12569)   on 2010-03-29 09:45:07 (Show Source): You can put this solution on YOUR website!Solve x + yr = z for y yr=z-x y=(z-x)/r Ans. B) (z-x)/r
 Polynomials-and-rational-expressions/286388: Solve x + yr = z for y. A. y = z/r – x B. y = z-x/r C. y = r(z – x) D. y = zr – x 1 solutions Answer 207680 by checkley77(12569)   on 2010-03-29 09:42:39 (Show Source): You can put this solution on YOUR website!Solve x + yr = z for y yr=z-x y=(z-x)/r Ans. B) (z-x)/r
 Exponents-negative-and-fractional/286389: Please answer the following story problem. The speed of a boar in still water is 20 mph. If the boar travels 140 miles downstream in the same time that it takes to travel 92 miles upstream, find the speed of the current. I have the rates s/b downstream 20+x and upstream 20-x But that is the extent right now.1 solutions Answer 207679 by checkley77(12569)   on 2010-03-29 09:39:29 (Show Source): You can put this solution on YOUR website!D=RT 140=(20+C)T DOWN STREEM TRIP. T=140/(20+C) 92=(20-C)T UP STREEM TRIP. T=92/(20-C) SET THESE 2 EQUATIONS EQUAL. 140/(20+C)=92/(20-C) 140(20-C)=92(20+C) CROSS MULTIPLY 140(20-C)=92(20+C) 2,800-140C=1,840+92C -140C-92C=1,840-2,800 -232C=-960 C=-960/-232 C=4.138 SPEED OF THE CURRENT. PROOF: 140/(20+4.138)=92/(20-4.138) 140/24.138=92/15.862 5.8=5.8
 Equations/286210: 20 - 1/5d = 3/10d + 161 solutions Answer 207536 by checkley77(12569)   on 2010-03-28 17:57:36 (Show Source): You can put this solution on YOUR website!20 - 1/5d = 3/10d + 16 20-d/5=3d/10+16 -d/5-3d/10=16-20 (-2d-3d)/10=-4 cross multiply. -5d=-40 d=-40/-5 d=8 ans. Proof: 20-1/5*8=3/10*8+16 20-8/5=24/10+16 -8/5-24/10=16-20 (-8*2-24)/10=-4 (-16-24)/10=-4 -40/10=-4 -4=-4
 Money_Word_Problems/286054: there are two local companies that will walk your dog.pets first charges a membership fee of \$10 and \$3 per walk. doggy day care charges a \$5 membership fee and \$2 per walk. what number of walks will cost the same at each company?1 solutions Answer 207535 by checkley77(12569)   on 2010-03-28 17:50:56 (Show Source): You can put this solution on YOUR website!10+3W=5+2W 3W-2W=5-10 W=-5 NO SOLUTION. EXAMPLE FOR 1 WALK: 10+3*1=5+2*1 10+3=5+2 13=7 TRY 10 WALKS: 10+3*10=5+2*10 10+30=5+20 40=25 TRY 50 WALKS: 10+3*50=5+2*50 10+150=5+100 160=105 TRY 200 WALKS 10+3*200=5+2*200 10+600=5+400 610=405 PETS FIRST WILL ALWAYS COST MORE.
 Exponents/286055: how would you simplify 320,000square + 7,200,000,000 square?1 solutions Answer 207532 by checkley77(12569)   on 2010-03-28 17:41:51 (Show Source): You can put this solution on YOUR website!320,000^2 + 7,200,000,000^2 1.024*10^11+5.184*10^19 5.18400001024*10^19 ANS.
 Travel_Word_Problems/286060: if you are rowing a boat at 40 miles for 4 hours down stream and then 40 miles per hour back up stream for 10 hours what is the current1 solutions Answer 207529 by checkley77(12569)   on 2010-03-28 17:36:36 (Show Source): You can put this solution on YOUR website!D=RT 40=(R+C)4 40=4R+4C MULTIPLY THIS EQUATION BY 5 40=(R-C)10 40=10R-10C MULTIPLY THIS EQUATION BY 2 & ADD 200=20R+20C 80=20R-20C ---------------- 280=40R 40R=280 R=280/40 R=7 MPH IS THE SPEED OF THE BOAT IN STILL WATER. 40=(7+C)4 40=28+4C 4C=40-28 4C=12 C=12/4 C=3 MPH FOR THE CURRENT SPEED. PROOF: 40=(10*7-10*3 40=70-30 40=40