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# Recent problems solved by 'checkley71'

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 Equations/99829: If it takes 7 cups of flour to make 4 loaves of bread, how many loaves of bread can you make with 35 cups of flour?1 solutions Answer 72802 by checkley71(8403)   on 2007-09-23 21:05:07 (Show Source): You can put this solution on YOUR website!7/4=35/X CROSS MULTIPLY 7X=4*35 7X=140 X=140/7 X=20 LOAVES CAN BE MADE WITH 35 CUPS OF FLOUR.
 Equations/99828: You are traveling from New Albany to Indianapolis. On the map you measure the distance to be 4 1/2 inches. If the scale of the map is 1 inch: 25 miles, how far will you travel?1 solutions Answer 72800 by checkley71(8403)   on 2007-09-23 21:01:50 (Show Source): You can put this solution on YOUR website!1/4.5=25/X CROSS MULTIPLY 1X=4.5*25 X=112.5 MILES IS THE ANSWER.
 Rate-of-work-word-problems/99988: Two sand hauling trucks one that holds 12 tons and one that holds 15 tons make a total of 20 trips to haul 273 tons of sand. How many trips does each truck make?1 solutions Answer 72799 by checkley71(8403)   on 2007-09-23 20:57:09 (Show Source): You can put this solution on YOUR website!15X+12(20-X)=273 15X+240-12X=273 3X=273-240 3X=33 X=11 TRIPS FOR THE 15 TON TRUCK. 20-11=9 TRIPS FOR THE 12 TON TRUCK. PROOF 15*11+12*9=273 165+108=273 273=273
 Equations/99884: an investment adviser invested \$14000 in two accounts. one investment earned 8% annual simple interest, an the other investment earned 6.5% annual simple interest. the amount of interest earned for 1 year was \$1024. how much was investedin each account?1 solutions Answer 72798 by checkley71(8403)   on 2007-09-23 20:53:37 (Show Source): You can put this solution on YOUR website!.08X+.065(14000-X)=1024 .08X+910-.065X=1024 .015X=1024-910 .015X=114 X=114/.015 X=7600 INVESTED @ 8% 14000-7600=6400 INVESTED @ 6.5% PROOF .08*7600+.065*6400=1024 608+416=1024 1024=1024
 expressions/99986: Will you help me out? Solve for the variable given. -3x + 3 + 4x = 01 solutions Answer 72796 by checkley71(8403)   on 2007-09-23 20:47:49 (Show Source): You can put this solution on YOUR website!-3X+3+4X=0 X+3=0 X=-3 ANSWER. PROOF -3*-3+3+4*-3=0 9+3-12=0 0=0
 Human-and-algebraic-language/99981: A farmer grows wheat, corn and barley. If 1/4 of the land is planted with wheat, 2/3 is planted with corn and 50 acres are planted with barley, how many acres have been planted?1 solutions Answer 72795 by checkley71(8403)   on 2007-09-23 20:45:08 (Show Source): You can put this solution on YOUR website!X/4+2X/3+50=X X/4+2X/3-X=-50 (3X+8X-12X)/12=-50 -X/12=-50 -X=- X=600 ACRES PLANTED. PROOF 600/4+2*600/3+50=600 150+400+50=600 600=600
 Inverses/99904: If a quiz has four true-false questions. How many different patterns of answers are possible.1 solutions Answer 72788 by checkley71(8403)   on 2007-09-23 20:06:47 (Show Source): You can put this solution on YOUR website!THE ANSWER IS 4^2=16. PROOF TTTT TTTF TTFT TTFF TFTT TFTF TFFT TFFF FTTT FTTF FTFT FTFF FFTT FFTF FFFT FFFF
 Angles/99977: an angle measure three times of its supplementary angle. Find the measure of both angles1 solutions Answer 72786 by checkley71(8403)   on 2007-09-23 20:03:10 (Show Source): You can put this solution on YOUR website!X+3X=180 4X=180 X=180/4 X=45 DEGREES FOR ONE ANGLE. 180-45=135 OR 3+45=135 FOR THE OTHER ANGLE.
 Problems-with-consecutive-odd-even-integers/99978: Tripling the greater of two consecutive even intergers give gives thesame result as subtracting 10 from the lesser even interger. What are the intergers?1 solutions Answer 72785 by checkley71(8403)   on 2007-09-23 20:00:50 (Show Source): You can put this solution on YOUR website!3(X+2)=X-10 3X+6=X-10 2X=-16 X=-16/2 X=-8 ANSWER FOR THE SMALLER INTERGER. -8+2=-6 FOR THE GREATER INTERGER. PROOF 3(-6)=-8-18 -18=-18 COMMENT: THAT'S A CUTE ONE!!!!!!
 Rectangles/99976: The formula for the perimeter of a rectangle is P=2l+2w, where l is the length and w is the width. A rectangle has a perimeter of 24 inches. Find its dimensions if its length is 3 inches greater than its width.1 solutions Answer 72781 by checkley71(8403)   on 2007-09-23 19:56:38 (Show Source): You can put this solution on YOUR website!L=W+3 2(W+3)+2W=24 2W+6+2W=24 4W=24-6 4W=18 W=18/4 W=4.5 ANSWER. L=4.5+3=7.5 ANSWER. PROOF 2*4.5+2*7.5=24 9+14=24 24=24
 Money_Word_Problems/99973: A grocer wants to mix peanuts and cashews to produce 20 lb bag of mixed nuts worth \$6.20/lb. How many pounds of each kind of nut should she use if peanuts cost \$4.80/lb and cashews cost \$8/lb?1 solutions Answer 72780 by checkley71(8403)   on 2007-09-23 19:52:26 (Show Source): You can put this solution on YOUR website!8*X+4.8(20-X)=20*6.2 8X+96-4.8X=124 3.2X=124-96 3.2X=28 X=28/3.2 X=8.75 POUNDS OF THE \$8 MIX 20-8.75=11.25 POUNDS OPF THE \$4.80 MIX PROOF 8*8.75+4.8*11.25=124 70+54=124 124=124
 Problems-with-consecutive-odd-even-integers/99974: Find three consecutive odd intergers whose sum is 117.1 solutions Answer 72778 by checkley71(8403)   on 2007-09-23 19:48:23 (Show Source): You can put this solution on YOUR website!X+X+2+X+4=117 3X=117-6 3X=111 X=111/3 X=37 IS THE FIRST ODD NMBER. 39 & 41 ARE THE OTHER 2 ODD NUMBERS. PROOF 37+39+41=117 117=117
 Equations/99969: Can you check my answer? I am solving for x. x+4 = 3x ___ = ____ -4 = 36 Answer: x=61 solutions Answer 72777 by checkley71(8403)   on 2007-09-23 19:45:40 (Show Source): You can put this solution on YOUR website!IF YOUR PROBLEM IS: (X+4)/-4=3X/36 THEN: CROSS MULTIPLYING YOU GET -12X=36X-144 -12X-36X=-144 -48X=-144 X=-144/-48 X=3 ANSWER.
 Surface-area/99880: the length of a rectangle is 3 times the width. if the area of the rectangle is 675 meters squared, find the perimeter of the rectangle in meters1 solutions Answer 72775 by checkley71(8403)   on 2007-09-23 19:40:00 (Show Source): You can put this solution on YOUR website!L=3W 678=3W*W 3W^2=678 W^2=678/3 W^2=226 W=SQRT226 W=15.033 ANSWER FOR THE WIDTH. L=3*15.033=45.1 ANSWER FOR THE LENGTH PROOF 15.033*45.1=678 678=678 PERIMETER=2L+2W 2*15.033+2*45.1=30.066+90.2=120.266 METERS IS THE ANSWER FOR THE PERIMETER.
 Triangles/99906: the base of a triangle is b. the height is 3 more than half the base. a. find the area if the base is 10.1 solutions Answer 72773 by checkley71(8403)   on 2007-09-23 19:32:31 (Show Source): You can put this solution on YOUR website!AREA=1/2BH AREA=1/2*B(B/2+3) AREA=1/2*10(10/2+3) AREA=5*10(5+3) AREA=5*10*8 AREA=400 ANSWER.
 Parallelograms/99965: the length of a box is L. the width is 4 less than the length. the height is 3 more than twice the width. a. write an expression for the width in terms of L. b. write an expression for the height in terms of L. c. find the volume of the box if L = 101 solutions Answer 72771 by checkley71(8403)   on 2007-09-23 19:28:24 (Show Source): You can put this solution on YOUR website!L=LENGTH W=L-4 H=2(L-4)+3 V=10*(10+4) V=10*14 V=140*(12+3) V=140*15 V=2100 TOTAL VOLUME OF THE BOX.
 Expressions-with-variables/99945: I just don't understand this. In the following system of linear equations, state how to combine the two equations to obtain one equation with only one variable. 2x - 7y = 6 x + 3y = 2 1 solutions Answer 72770 by checkley71(8403)   on 2007-09-23 19:22:09 (Show Source): You can put this solution on YOUR website!X+3Y=2 OR X=2-3Y NOW REPLACE X IN THE OTHER EQUATION WITH(2-3Y) & SOLVE FOR Y. 2(2-3Y)-7Y=6 4-6Y-7Y=6 -13Y=6-2 -13Y=4 Y=4/-13 Y=-4/13 ANSWER. X+3*-4/13=2 X-12/13=2 X=12/13+2 X=2 12/13 OR 38/13 ANSWER.
 Quadratic_Equations/99957: the speed of an airplane in still air is 286 km/h it travels 883 km against the wind and 1119 km with the wind in total time is 13 hr.1 solutions Answer 72767 by checkley71(8403)   on 2007-09-23 19:16:16 (Show Source): You can put this solution on YOUR website!I THINK YOU HAVE SOME OF THE FACTS OR FIGURES WRONG AS THIS PROBLEM HAS NO REASONABLE ANSWER. I GET AN ANSWER OF 286 KM/H FOR THE WIND. THE EQUATION I CAME UP WITH IS (X^2-22X-75504) WITH FACTORS OF 286 & -264. ------------------------------------------------------------- A 7 HOUR TRIP MAKES SENSE BUT NOT A 13 HOUR TRIP. ------------------------------------------------------------- distance=rate*time or distance/rate=time 833/286+1119/286=2.91+3.91=6.82 hours with no wind. cannot calculate any wind that would extend this time from 6.82 hours to 13 hours. I suggest you again check your problem --- it doesn't make sense!!!!
 Linear-equations/99956: If a horizontal line is drawn through the point (4,3), where will it intersect the y-axis?1 solutions Answer 72754 by checkley71(8403)   on 2007-09-23 18:43:03 (Show Source): You can put this solution on YOUR website!A HORIZONTAL LINE HAS ONLY ONE Y VALUE. IN THIS CASE IT IS Y=3.
 Travel_Word_Problems/99946: Can someone help me understand how to answer this problem. I think the answer is 50.4 miles. A cyclist traveled at a rate of 24 mph to visit a nearby town. The cyclist averaged 18 mph on the return trip. If the round trip took 4.9 hours, find the distance to the nearby town. 1 solutions Answer 72753 by checkley71(8403)   on 2007-09-23 18:41:36 (Show Source): You can put this solution on YOUR website!24X=18(4.9-X) 24X=88.2-18X 24X+18X=88.2 42X=88.2 X=88.2/42 X=2.1 HOURS GOING @ 24 MPH OR: 24*2.1=50.4 MILES GOING 18(4.9-2.1)=18*2.8=50.4 MILES RETURNING
 Length-and-distance/99949: find the slope of the line that crosses the x-axis at -6 and the y-axis -2.1 solutions Answer 72752 by checkley71(8403)   on 2007-09-23 18:35:43 (Show Source): You can put this solution on YOUR website!THESE POINTS ARE: (-6,0) & (0,-2) THUS THE SLOPE IS: (-2-0)/(0+6)=-2/6=-1/3 FOR THE SLOPE:
 Expressions-with-variables/99950: How does this work? Choose the ordered pair that is a solution to the system of equations. -3x + 2y = 10 -2x - y = -5 (-2, 5) (2, -5) (0, -5) (0, 5) 1 solutions Answer 72750 by checkley71(8403)   on 2007-09-23 18:32:56 (Show Source): You can put this solution on YOUR website!MULTIPLY THE SECOND EQUATION BY 2 & THEN ADD THEM: -4X-2Y=-10 -3X+2Y=10 --------------------- -7X=0 X=0 ANSWER. NOW SUBSTITUTE 0 FOR X & SOLVE FOR Y -3*0+2Y=10 2Y=10 Y=10/2 Y=5 ANSWER. PROOF -2*0-5=-5 -5=-5 ANSWER IS (0,5)
 Expressions-with-variables/99941: At the high school band's annual spaghetti dinner, the members served 210 dinners and collected \$935. The band leader did not designate which ticket was an adult or child dinner. You need to know that to prepare the correct amount of food and for future planning. Each adult dinner cost \$6 and each child's dinner cost \$3.50. I understand the equations 6a+3x5c = 935 a+c= 210 How do I figure out how many dinners were adults and how many were children's?1 solutions Answer 72749 by checkley71(8403)   on 2007-09-23 18:25:39 (Show Source): You can put this solution on YOUR website!A+C=210 OR A=210-C FOR THE TICKETS SOLD. 6A+3.5C=935 NOW REPLACE A WITH(210-C) IN THIS EQUATION & SOLVE FOR C 6(210-C)+3.5C=935 1260-6C+3.5C=935 -2.5C=935-1260 -2.5C=-325 C=-325/-2.5 C=130 CHILDREN TICKETS SOLD. A=210-130 A=80 ADULT TICKETS SOLD. PROOF 6*80+3.5*130=935 480+455=935 935=935
 Percentage-and-ratio-word-problems/99943: an appliance dealer bought some television sets for \$180 and resold them for \$225. What percent of the original cost was his profit?1 solutions Answer 72747 by checkley71(8403)   on 2007-09-23 18:12:01 (Show Source): You can put this solution on YOUR website!(225-180)/180=45/180=.25 OR 25% PROFIT IS THE ANSWER.
 Linear_Algebra/99942: Solve for n. m = 17n1 solutions Answer 72746 by checkley71(8403)   on 2007-09-23 18:09:29 (Show Source): You can put this solution on YOUR website!M=17N DIVIDE BOTH SIDE BY 17 M/17=17N/17 M/17=N ANSWER.
 Angles/99935: \ ____________30 __\_______________ I am sorry about the picture I did (5y) /\ the best I could. I am trying to / \ solve for x and y. Could you / \ please help?? / \ / \ /(2x) (x-y) ------------/------------\----1 solutions Answer 72745 by checkley71(8403)   on 2007-09-23 18:06:17 (Show Source): You can put this solution on YOUR website!IF THE 2 HORIZONTAL LINES ARE PARALLEL THEN: X-Y=30 OR X=30+Y ALSO 5Y=2X REPLACE X WITH(30+Y) & SOLVE FOR Y 5Y=2(30+Y) 5Y=60+2Y 5Y-2Y=60 3Y=60 Y=60/3 Y=20 DEGREES. X=30+20 X=50 DEGREES.
 test/99926: Which of the following numbers are composite? 79, 41, 5, 641 solutions Answer 72743 by checkley71(8403)   on 2007-09-23 17:54:29 (Show Source): You can put this solution on YOUR website!64 IS THE ONLY COMPOSITE NUMBER. ALL THE REST ARE PRIME NUMBERS.
 test/99928: Find the difference 9/11 - 1/61 solutions Answer 72742 by checkley71(8403)   on 2007-09-23 17:52:42 (Show Source): You can put this solution on YOUR website!FIRST YOU NEED TO FIND COMMON DENOMINATOR TO COMBINE (SUBTRACT) THESE TERMS. THERE IS ALWAYS A SIMPLE, BUT ALWAYS A BETTER WAY, TO FIND A COMMON DENOMINATOR. HOEVER IN THIS CASE IT WORKS & IS THE LOWEST DENOMINATOR: MULTIPLY THE TWO DENOMINATORS TOGETHER THUS: 11*6=66 WHICH HAVE COMMON FACTORS OF 11 & 6 (9*6-1*11)/66 (54-11)/66 43/66 OR .65 ANSWER.
 test/99930: Change the following percent to a fraction 51% My guess here is 51/100 is this right?1 solutions Answer 72740 by checkley71(8403)   on 2007-09-23 17:45:17 (Show Source): You can put this solution on YOUR website!WHY GUESS? WHEN TO CHANGE A % TO A FRACTION YOU ALWAYS DIVIDE THE % BY 100 & DROP THE % SIGN. 51/100 IS CORRECT!!
 Square-cubic-other-roots/99933: This is my last question in order for me to finish my assignment. Is it posssible for someone to help me? What is the square of 4 less than a number? Thank you very much for your kindness1 solutions Answer 72738 by checkley71(8403)   on 2007-09-23 17:42:44 (Show Source): You can put this solution on YOUR website!let x be the number then: (x-4)^2 x^2-8x+16 expanded.
 Equations/99931: a coffee shop decides to blend a coffee that sells for\$12 per pound with a coffee that sells for \$9 per pound to produce a blend that will sell for \$10 per pound. how much of each should be used to yield 20 pounds of the new blend?1 solutions Answer 72736 by checkley71(8403)   on 2007-09-23 17:40:35 (Show Source): You can put this solution on YOUR website!12x+9(20-x)=10*20 12x+180-9x=200 3x=200-180 3x=20 x=20/3 pounds of \$12 coffee is needed. 20-6 2/3=13 1/3 or 40/3 pounds of \$9 coffee is needed. proof 12*20/3+9*40/3=200 240/3+360/3=200 80+120=200 200=200