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# Recent problems solved by 'checkley77'

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 Miscellaneous_Word_Problems/212434: QUESTION # 14 A SALES EXECUTIVE EARNS \$1000 PER MONTH PLUS 5% COMMISION ON THE AMOUNT OF SALES. THE EXECUTIVE'S GOAL IS TO EARN \$5000 PER MONTH. WHAT AMOUNT OF SALES WILL ENABLE THE EXECUTIVE TO EARN \$5000 OR MORE PER MONTH?1 solutions Answer 160506 by checkley77(12569)   on 2009-09-10 17:15:12 (Show Source): You can put this solution on YOUR website!1,000+.05x>=5,000 .05x>=5,000-1,000 .05x>4,000 x>=4,000/.05 x>=80,000 amount of sales needed. Proof; 1,000+.05*80,000>=5,000 1,000+4,000>=5,000 5,000>=5,000
 Equations/212439: QUESTION #18 SOLVE: 6-[2x-3]>21 solutions Answer 160503 by checkley77(12569)   on 2009-09-10 17:09:09 (Show Source): You can put this solution on YOUR website!6-[2x-3]>2 6-2x+3>2 -2x>2-6-3 -2x>-7 x<-7/-2 (Note: when dividing by a negative value the sign changes). x<7/2 ans. Proof: Let x=6/2=3 6-(2*3-3)>2 6-(6-3)>2 6-3>2 3>2
 Graphs/212440: At what point(s) (if any) do the lines 2x-4y=8 and 3y=3x+6 intersect?1 solutions Answer 160499 by checkley77(12569)   on 2009-09-10 17:02:48 (Show Source): You can put this solution on YOUR website!2x-4y=8 -4y=-2x+8 y=-2x/-4+8/-4 y=x/2-2 (red linr) 3y=3x+6 y=3x/3+6/3 y=x+2 (green line) (graph 300x200 pixels, x from -10 to 5, y from -10 to 10, of TWO functions x/2 -2 and x +2). Solution(-8,-6)
 Equations/212447: Q.16 solve:-5<4x-1<111 solutions Answer 160487 by checkley77(12569)   on 2009-09-10 16:33:54 (Show Source): You can put this solution on YOUR website!-5<4x-1<11 -5+1<4X<11+1 -4<4X<12 -4/4 -1 X IS GREATER THAN -1 & LESS THAN 3. PROOFS: LET X=-.9 & X=2.9 -5<4*-.9-1<11 -5<-3.6-1<11 -5<-4.6<11 ----------- -5<4*2.9-1<11 -5<11.6-1<11 -5<10.6<11
 Money_Word_Problems/212493: Joe invested a portion of \$6000 at 4.5% interest and the balance at 6% interest. How much did he invest at 6% if his total income from both investments is \$279? 1 solutions Answer 160482 by checkley77(12569)   on 2009-09-10 16:12:30 (Show Source): You can put this solution on YOUR website!.06X+.045(6,000-X)=279 .06X+270-.045X=279 .015X=279-270 .015X=9 X=9/.015 X=\$600 WAS INVESTED @ 6%. 6,000-600=5,400 INVESTED @ 4.5% PROOF: .06*600+.045*5,400=279 36+243=279 279=279
 Money_Word_Problems/212494: At an altitude of h feet above the surface of the earth, the approximate distance in miles that a person can see is given by the expression d2 = 1.5h. How far can a person see if he or she is 1270 feet above the earth's surface? (Round your answer to the nearest tenth of a mile.)1 solutions Answer 160480 by checkley77(12569)   on 2009-09-10 16:08:03 (Show Source): You can put this solution on YOUR website!d2 = 1.5h D^2=1.5*1,270 D^2=1,905 D=sqrt1,905 D=43.6 MI.
 Equations/212498: the length of a rectangle is twice the width. Find the width if the perimeter is 60 centimeters. Define a variable, and write an equation, and solve.1 solutions Answer 160479 by checkley77(12569)   on 2009-09-10 16:04:24 (Show Source): You can put this solution on YOUR website!L=2W 2L+2W=60 2*2W+2W=60 4W+2W=60 6W=60 W=60/6 W=10 ANS. FOR THE WIDTH. L=2*10=20 ANS. FOR THE LENGTH. PROOF: 2*20+2*10=60 40+20=60 60=60
 Number-Line/212502: (4+2)-(6)power of 3+(-4)-(5-6)1 solutions Answer 160477 by checkley77(12569)   on 2009-09-10 16:01:08 (Show Source): You can put this solution on YOUR website!(4+2)-(6)^3+(-4)-(5-6) 6-(216)-4-(-1) 6-216-4+1=-213 ANS.
 Angles/212503: Angle P and angle Q are supplementary. Angle P measures 5x and angle Q measures 3x – 12. Find the measure of angle P.1 solutions Answer 160473 by checkley77(12569)   on 2009-09-10 15:52:27 (Show Source): You can put this solution on YOUR website!5X+3X-12=180 8X=180+12 8X=192 X=192/8 X=24 5*24=120 ANS. FOR ANGLE P Q=3*24-12 Q=72-12 Q=60 PROOF: 120+60=180 180=180
 Geometry_Word_Problems/212505: george built a rectangular pen for his rabbit such that the length in 7 ft. less than twice the width. If the perimeter is 40 ft., what are the dimensions of the pen1 solutions Answer 160471 by checkley77(12569)   on 2009-09-10 15:49:00 (Show Source): You can put this solution on YOUR website!L=2W-7 2L+2W=40 2(2W-7)+2W=40 4W-14+2W=40 6W=40+14 6W=54 W=54/6 W=9 ANS. FOR THE WIDTH. L=2*9-7 L=18-7 L=11 ANS. FOR THE LENGTH. PROOF: 2*11+2*9=40 22+18=40 40=40
 Length-and-distance/212293: What is the width of a rectangle with an area of 300 square feet and a length of L feet?1 solutions Answer 160354 by checkley77(12569)   on 2009-09-09 21:15:06 (Show Source): You can put this solution on YOUR website!LW=300 W=300/L FT.
 absolute-value/212311: i need help with this question i have tried one of these ways but everytime i did it it woldnt work please help me 1 solutions Answer 160353 by checkley77(12569)   on 2009-09-09 21:13:12 (Show Source): You can put this solution on YOUR website!3(x+1)=9 3X+3=9 3X=9-3 3X=6 X=6/3 X=2 ANS. PROOF: 3(2+1)=9 3*3=9 9=9
 Expressions-with-variables/212313: how do you solve D+3/4=7/81 solutions Answer 160350 by checkley77(12569)   on 2009-09-09 21:10:40 (Show Source): You can put this solution on YOUR website!D+3/4=7/8 D=7/8-3/4 D=(7-3*2)/8 D=(7-6)/8 D=1/8 ANS.
 Linear_Equations_And_Systems_Word_Problems/212323: This is my problem. It takes two oil pipelines 30 minutes to fill a tank. One pipeline fills the tank in 45 minutes. How long will it take to fill the tank with the other pipeline alone? I tried this: x+y=30 y=1.5(x+y) I got y=-3 and x=33 but it doesn't make since that y=-3. Can you help?1 solutions Answer 160349 by checkley77(12569)   on 2009-09-09 21:08:46 (Show Source): You can put this solution on YOUR website!XY/(X+Y)=30 45Y/(45+Y)=30 45Y=30(45+Y) 45Y=1,350+30Y 45Y-30Y=1,350 15Y=1,350 Y=1,350/15 Y=90 MINUTES FOR THE SECOND PIPELINE TO FILL THE TANK WORKING ALONE. PROOF: 45*90/(45+90)=30 4,050/135=30 30=30
 Angles/212318: Angles A and B are complements, and the measure of angle A is 8 times the measure of angle B. Find the measure(in degrees) of the supplement of A. PLEASEE HELP && THANK YOU (:1 solutions Answer 160347 by checkley77(12569)   on 2009-09-09 21:03:30 (Show Source): You can put this solution on YOUR website!A=8B OR A-8B=0 A+B=90 A-8B=0 SUBTRACT. ------------------ 9B=90 B=90/9 B=10 ANS. A=8*10=80 ANS.
 Equations/212316: Hi there! I've totally learned this before, but can't remember for the life of me how to do it! Here it is: b + c = 10/a Solve for a. I know the answer is a = 10 / b + c, BUT WHY!? T.T1 solutions Answer 160344 by checkley77(12569)   on 2009-09-09 20:59:08 (Show Source): You can put this solution on YOUR website!b + c = 10/a Cross multiply a(b+c)=10 Divide both sides by (b+c) a=10/(b+c) Ans.
 Travel_Word_Problems/212317: you and your brother started biking at noon from places that are 52 miles apart. You rode toward eachother and met at 2:00 p.m. Your brother's average speed was 4 mi/h faster than your average speed. Find both speeds. So how do i begin this problem, i dont know what to do.1 solutions Answer 160341 by checkley77(12569)   on 2009-09-09 20:55:43 (Show Source): You can put this solution on YOUR website!D=RT lET X & (X=4) BE THE 2 SPEEDS. 52=(X+X+4)*2 52=(2X+4)*2 52=4X+8 4X=52-8 4X=44 X=44/4 X=11 MPH FOR THE SLOWER RIDER. 11+4=15 MPH FOR THE FASTER RIDER. PROOF: 52=(11+15)*2 52=26*2 52=52
 Equations/212308: 13/11y - 2/11y = -31 solutions Answer 160340 by checkley77(12569)   on 2009-09-09 20:49:01 (Show Source): You can put this solution on YOUR website!13y/11 - 2y/11 = -3 (13y-2y)/11=-3 11y/11=-3 -3*11=11y 11y=-33 y=-33/11 y=-3 ans. Proof: 13/11*-3-2/11*-3=-3 -39/11+6/11=-3 -33/11=-3 -3=-3
 Triangles/212309: Which of the following sets of three numbers could NOT be the lengths of three sides of a triangle? A 1,2,3 B 2, 3, 4 C 3, 4, 5 D 4, 5, 6 E 5, 6, 71 solutions Answer 160339 by checkley77(12569)   on 2009-09-09 20:39:48 (Show Source): You can put this solution on YOUR website!A) Sides of 1,2 & 3 cannot form a triangle. It's a straight line.
 Inequalities/212085: the sum of all five numbers is 30. the sum of the 5th number and 3rd number is 14. the 1st number is 1< twice the 2nd number. the 4th number 1> the 2nd. the 2nd and the 3rd number is 10.what are the five numbers??1 solutions Answer 160331 by checkley77(12569)   on 2009-09-09 20:19:02 (Show Source): You can put this solution on YOUR website!A+B+C+D+E=30 C+E=14 OR E=14-C A=2B-1 D=B+1 B+C=10 2B-1B+10-B+1+14-C=30 3B-C=30-24 3B-C=6 B+C=10 ADD ----------------- 4B=16 B=16/4 B=4 ANS. A=2*4-1 A=8-1 A=7 ANS. D=4+1 D=5 ANS. 4+C=10 C=10-4 C=6 ANS. 6+E=14 E=14-6 C=8 ANS. 7+4+6+5+8=30 30=30
 Distributive-associative-commutative-properties/212130: In quadrilateral JKLM, J is 10* greater than K , L is 10* less than K , and the measure of M is 90 * . What is the measure of K ? Find the measure of angle K. Write an equation and show each step to solve the equation. Please Help, Cheyenne 1 solutions Answer 160317 by checkley77(12569)   on 2009-09-09 19:02:52 (Show Source): You can put this solution on YOUR website!J+K+L+M=360 (K+10)+K+(K-10)+90=360 3K+90=360 3K=360-90 3K=270 K=270/3 K=90 ANS. J=90+10=100 ANS. L=90-10=80 ANS. PROOF: 100+90+80=90=360 360=360
 Graphs/212032: This question is from textbook Algebra 1 You finish a 3 mile race walking race in 27.5 minutes. Write an inequality that describes the average speed of a walker who finished after you did?1 solutions Answer 160314 by checkley77(12569)   on 2009-09-09 18:57:20 (Show Source): You can put this solution on YOUR website!D=RT R=D/T R<3/27.5 R<0.109 MILES PER MINUTE.
 Human-and-algebraic-language/212129: This question is from textbook Elementary and Intermediate Algebra Donna invested her \$33,000 bonus and received a total of \$970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?1 solutions Answer 160311 by checkley77(12569)   on 2009-09-09 18:49:02 (Show Source): You can put this solution on YOUR website!.04X+.0225(33,000-X)=970 .04X+742.5-.0225X=970 .0175X=970-742.50 .0175X=227.5 X=227.5/.0175 X=\$13,000 ANOUNT INVESTED @ 4%. 33,000-13,000=20,000 INVESTED @ 2.25%. PROOF: .04*13,000+.0225*20,000=970 520+450=970 970=970
 Geometry_Word_Problems/212150: the length of a rectangular swimming pool is 12 ft less than its length. If the perimeter of the pool is 96 ft, what are the dimensions of the pool?1 solutions Answer 160310 by checkley77(12569)   on 2009-09-09 18:43:49 (Show Source): You can put this solution on YOUR website!P=2L+2W 96=2L+2(L-12) 96=2L+2L-24 4L=96+24 4L=120 L=120/4 L=30 FT. W=30-12=18 FT. PROOF 96=2*30+2*18 96=60+36 96=96
 Proportions/212174: need help solving this type of question 1/3:2/3=1/6:x1 solutions Answer 160309 by checkley77(12569)   on 2009-09-09 18:37:14 (Show Source): You can put this solution on YOUR website!1/3:2/3=1/6:x 1/3:2/3=1/6:x x/3=2/3*1/6 x/3=2/18 18x=6 x=6/18 x=1/3 ans Proof: 1/3:2/3=1/6:1/3 1/3*1/3=2/3*1/6 1/9=2/18 1/9=1/9
 Equations/212250: What divided by what equals 26.57? 1 solutions Answer 160307 by checkley77(12569)   on 2009-09-09 18:29:33 (Show Source): You can put this solution on YOUR website!132.85/5=26.57 79.71/3=26.57 584.54/22=26.57
 Angles/212249: find the measure of angle T if the measure of angle T is 20 more than four times its supplement.1 solutions Answer 160304 by checkley77(12569)   on 2009-09-09 18:25:28 (Show Source): You can put this solution on YOUR website!t=4(180-t)+20 t=720-4t+20 t+4t=740 5t=740 t=740/5 t=148 ans. Proof: 148=4(180-148)+20 148=4*32+20 148=128+20 148=148
 sets-and-operations/212248: Using only 3 nines and no other numbers, create an equation that equals 4. You may use addition, subtraction, multiplying, dividing, and square roots.1 solutions Answer 160299 by checkley77(12569)   on 2009-09-09 18:18:53 (Show Source): You can put this solution on YOUR website!sqrt9+9/9=3+1=4 ans.
 Polynomials-and-rational-expressions/212192: I need help with two problems plus I have to show the steps. 1. 12x^2-2x-30 2. 2x^4-32y^41 solutions Answer 160272 by checkley77(12569)   on 2009-09-09 16:41:27 (Show Source): You can put this solution on YOUR website!1. 12x^2-2x-30 2(6x^2-x-15) 2(2x+3)(3x-5) ans. 2. 2x^4-32y^4 2(x^4-16y^4) 2(x^2-4y^2)(2x^2+4y^2) 2(x-2y)(x+2y)(2x^2+4y^2) ans.
 Mixture_Word_Problems/212210: the owner of a local chocolate shop wants to develop a new trail mix. how many pounds of chocolate covered peanuts worth \$5/lb should be mixed with 10 lbs worth \$2/lb to get a mixture worth \$3/lb?1 solutions Answer 160270 by checkley77(12569)   on 2009-09-09 16:34:59 (Show Source): You can put this solution on YOUR website!5x+2*10=3(10+x) 5x+20=30+3x 5x-3x=30-20 2x=10 x=10/2 x=5 pounds of \$5 chocolate covered nuts is used. Proof: 5*5+2*10=3(10+5) 25+20=3*15 45=45
 Graphs/212213: what is the solved answer for the inqualitie 5w-8>10? 1 solutions Answer 160269 by checkley77(12569)   on 2009-09-09 16:31:13 (Show Source): You can put this solution on YOUR website!5w-8>10 5w>10+8 5w>18 w>18/5 Proof: let w=19/5 5*19/5-8>10 95/5>10+8 19>18