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checkley77 answered: 12560 problems
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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]>2 1 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<11 1 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 pen 1 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=7/8 1 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.T 1 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 = -3 1 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, 7 1 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:x 1 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^4 1 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