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# Recent problems solved by 'checkley71'

checkley71 answered: 8399 problems
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 Quadratic_Equations/133837: y+x=-2 Graph equation and idenify the y intercept.1 solutions Answer 97904 by checkley71(8403)   on 2008-03-26 20:58:26 (Show Source): You can put this solution on YOUR website!THE LINE EQUATION IS [Y=mX+b] WHERE b=THE Y INTERCEPT. Y+X=-2 Y=-X-2 [-2 IS THE Y INTERCEPT.] (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -x -2).
 Probability-and-statistics/133844: The probability of being choosen for a dance committee is 3/40. There are 360 students in your class. How many people will be on the dance committee? A. 9 B. 27 C. 40 D. 1201 solutions Answer 97902 by checkley71(8403)   on 2008-03-26 20:54:49 (Show Source): You can put this solution on YOUR website!3/40=X/360 40X=3*360 40X=1080 X=1080/40 X=27 NUMBER OF PEOPLE ON THE DANCE COMMITTEE.
 Inequalities/133855: Please solve z+5 over 2 is less than 4-z over 71 solutions Answer 97901 by checkley71(8403)   on 2008-03-26 20:51:22 (Show Source): You can put this solution on YOUR website!(Z+5)/2<(4-Z)/7 CROSS MULTIPLY 7(Z+5)<2(4-Z) 7Z+35<8-2Z 7Z+2Z<8-35 9Z<-27 Z<-27/9 Z<-3 ANSWER. PROOF LET Z=-3.1 (-3.1+5)/2<[4-(-3.1)]/7 1.9/2<(4+3.1)/7 .85<7.1/7 .85<1.014
 Numbers_Word_Problems/133856: If one interger us represented by n, then teh next largest consecutive interger would be... a)n+1 b)n+2 c)n-1 d)n-21 solutions Answer 97900 by checkley71(8403)   on 2008-03-26 20:44:11 (Show Source): You can put this solution on YOUR website!A) N+1 IS THE NEXT HIGHEST CONSECUTIVE INTEGER. EX. 6,6+1=7
 Mixture_Word_Problems/133858: Want to make 30 bounds of a bird seed that costs \$3 per pound. They are using thistle seed for \$2 per pound and sunflower seeds for \$3.50 per pound. How many pounds of sunflower seeds should be used in this mixture? algebra 11 solutions Answer 97899 by checkley71(8403)   on 2008-03-26 20:41:36 (Show Source): You can put this solution on YOUR website!2X+3.5(30-X)=3*30 2X+105-3.5X=90 -1.5X=90-105 -1.5X=-15 X=-15/-1.5 X=10 POUNDS OF \$2 SEEDS. 30-10=20 POUNDS OF \$3.50 SEEDS. PROOF 2*10+3.5*20=90 20+70=90 90=90
 Systems-of-equations/133859: This question is from textbook algebra 1 4 oranges and 5 apples cost 3.56 three oranges and 4 apples cost 2.76 find the cost of a oranges and the cost of a apple1 solutions Answer 97898 by checkley71(8403)   on 2008-03-26 20:36:56 (Show Source): You can put this solution on YOUR website!4O+5A=3.56 MULTIPLY THIS EQUATION BY 3. 3O+4A=2.76 MULTIPLY THIS EQUATION BY -4 & THEN ADD THEM. 12O+15A=10.68 -12O-16A=-11.04 ----------------------------- -A=-.36 A=.36 COST OF 1 APPLE. 4O+5*.36=3.56 4O+1.80=3.56 4O=3.56-1.80 4O=1.76 O=1.76/4 O=.44 COST OF 1 ORANGE. PROOF 3*.44+4*.36=2.76 1.32+1.44=2.76 2.76=2.76
 Proportions/133860: I forgot the formula to solve problems like this: 10 over 25 = x over 10 Help 1 solutions Answer 97897 by checkley71(8403)   on 2008-03-26 20:27:49 (Show Source): You can put this solution on YOUR website!10/25=X/10 ALL YOU NEED TO DO IS CROSS MULTIPLY 25X=10*10 25X=100 X=100/25 X=4 ANSWER. PROOF 10/25=4/10 100=100
 Linear_Equations_And_Systems_Word_Problems/133769: A high school class wants to raise money by recycling newspapers. The class decided to rent a truck at a cost of \$150 for the week. The market price for recycled newspapers is \$15 per ton. Write an equation representing the amount of money the class will make based on the number of tons of newspapers collected. Explain what you did to get your answer.1 solutions Answer 97873 by checkley71(8403)   on 2008-03-26 13:26:55 (Show Source): You can put this solution on YOUR website!\$=(15X)-150 WHERE \$ IS THE PROFIT & X IS THE NUMBER OF TONS COLLECTED. (IF THE ANSWER IS A PLUS(+) OR LOSS IF IT IS A MINUS(-). EXAMPLE:THEY COLLECT 13 TONS OF NEWSPAPER \$=15*13-150 S=195-150 \$=45 IS THE AMOUNT RAISED AFTER PAYING FOR THE TRUCK RENTAL.
 Numeric_Fractions/133659: 5/y=611 solutions Answer 97852 by checkley71(8403)   on 2008-03-26 08:43:48 (Show Source): You can put this solution on YOUR website!5/y=61 61y=5 y=5/61 answer.
 Linear_Equations_And_Systems_Word_Problems/133673: Wild and Crazy Productions wants to purchase a new CD producing machine. Its cost is \$5000.00. If their labor and other unit costs are \$5.00 per CD and they can sell the CD for \$10.00 each, how many must they manufacture before they pay for their new machine?1 solutions Answer 97851 by checkley71(8403)   on 2008-03-26 08:41:17 (Show Source): You can put this solution on YOUR website!5000=(10-5)x 5000=5x x=5000/5 x=1000 cds need to be manufactured to break even.
 Exponents-negative-and-fractional/133733: Simplify (h^-2 - m^-2)/(m^-1 - h^-1)1 solutions Answer 97850 by checkley71(8403)   on 2008-03-26 08:36:57 (Show Source): You can put this solution on YOUR website!(h^-2-m^-2)/(m^-1-h^-1) (m-h)/(h^2-m^2) (m-h)/(h+m)(h-m)
 Unit_Conversion_Word_Problems/133729: 1.7 ft. short of the endzone, how many more yards to the touchdown?1 solutions Answer 97849 by checkley71(8403)   on 2008-03-26 08:33:25 (Show Source): You can put this solution on YOUR website!1.7/3=.5666667 or 56.66667% of a yard short of the endzone.
 decimal-numbers/133588: what is the square root of 58 to the nearest houndreds1 solutions Answer 97795 by checkley71(8403)   on 2008-03-25 17:59:36 (Show Source): You can put this solution on YOUR website!SQRT58=7.62 ANSWER.
 Equations/133590: Refrigerator A costs \$600 and costs \$35 a year to operate. Refrigerator B costs \$800 and costs \$40 a year to operate. how many years are the total costs of the 2 regrigerators the same? 1 solutions Answer 97794 by checkley71(8403)   on 2008-03-25 17:57:16 (Show Source): You can put this solution on YOUR website!They will never be the same. As the original cost of the most expensive model is greater than the cheaper model & the operating cost of the most expensive model is also greater. 600+35x=800+40x 35x-40x=800-600 -5x=200 x=200/-5 x=-40 non answer.
 Quadratic_Equations/133629: how do i find the discriminant in the quadratic equation x^2+11x+121=x+96?1 solutions Answer 97791 by checkley71(8403)   on 2008-03-25 17:48:14 (Show Source): You can put this solution on YOUR website!x^2+11x+121=x+96 x^2+11x-x+121-96=0 x^2+10x+25=0 (x+5)^2=0 x+5=0 x=-5 answer. proof: -5^2+11*-5+121=-5+96 25-55+121=91 91=91
 Expressions-with-variables/133632: This problem deals with the addition method, and I need help. 2a + 3b = -1 3a + 5b = -2 I need a lot of help, and thanks a lot!1 solutions Answer 97789 by checkley71(8403)   on 2008-03-25 17:40:00 (Show Source): You can put this solution on YOUR website!2a+3b=-1 multiply this equation by -3 3a+5b=-2 multiply this equation by 2 -6a-9b=3 6a+10b=-4 ------------------- b=-1 answer. 2a+3*-1=-1 2a-3=-1 2a=-1+3 2a=2 a=2/2 a=1 answer.
 Quadratic_Equations/133637: I am thinking of 3 consecutive positive numbers. If I multiply the first with the third and then add the second, the result is 41. What are the numbers?1 solutions Answer 97788 by checkley71(8403)   on 2008-03-25 17:28:17 (Show Source): You can put this solution on YOUR website!let x, x+1 & x+2 be the 3 consecutive numbers. x(x+2)+(x+1)=41 x^2+2x+x+1=41 x^2+3x+1-41=0 x^2+3x-40=0 (x+8)(x-5)=0 x-5=0 x=5 answer for the smaller number 5+1=6 for the next number 5+2=7for the largest number proof 5*7+6=41 35+6=41 41=41
 Exponents-negative-and-fractional/133636: (-5/x)*2 X (2x*4/y*3)*2 open parenthesis negative 5 over x close parenthesis quantity squared times open parenthesis 2x to the 4th power over y to the third power close parenthesis quantity squared1 solutions Answer 97787 by checkley71(8403)   on 2008-03-25 17:21:56 (Show Source): You can put this solution on YOUR website!(-5x)^2*(2x^4/y^3)^2 25x^2*(4x^8/y^6) 100x^10/y^6 answer.
 Equations/133594: 1. I think of two consecutive odd numbers. 5 times the smaller plus 3 timesthe larger is 62. find the two numbers. 2. Two numbers differ by 5. Seven times the smaller plus 4 times the larger is 108. find the numbers. 3. Find three consecutive odd numbers that have a sum of 57. 4. I write down 3 consecutive even numbers. 6 times the smallest plus 2 times the largest equals seven times the middle number. Find the three numbers. 5. When soe cards are dealt to six people, each receives three more than when the same cards are dealt to eight people. how many cards are there? 6. John is 'x' years old. his sister mary is 3 year older than john is. a)write an expression for the sum of their ages b)the diferrence between their ages. if 4 times the sum of their ages didvided by 20 is equal to difference between their ages, find both jons and mary's ages. These six example questions that im having problem with i hope you could exlplain every single one for me thans in advance..1 solutions Answer 97782 by checkley71(8403)   on 2008-03-25 15:53:16 (Show Source): You can put this solution on YOUR website!X & X+2 ARE THE 2 CONSECUTIVE ODD NUMBERS. 5X+3(X+2)=62 5X+3X+6=62 8X=62-6 8X=56 X=56/8 X=7 FOR THE SMALLER ODD NUMBER. 7+2=9 IS THE LARGER ODD NUMBER. PROOF 5*7+3*9=62 35+27=62 62=62 ----------------------------------------- 7X+4(X+5)=108 7X+4X+20=108 11X=108-20 11X=88 X=88/11 X=8 ANSWER FOR THE SMALLER NUMBER. 8+5=13 FOR THE LARGER NUMBER. PROOF 7*8+4*13=108 56+52=108 108=108 ------------------------------------ X+X+1+X+2=57 3X+3=57 3X=57-3 3X=54 X=54/3 X=18 ANSWER FOR THE SMALLER NUMBER. 18=1=19 THE NEXT NUMBER. 18+2=20 THE LARGER NUMBER. PROOF. 18+19+20=57 57=57 ------------------------------------- I'LL END HERE AS WE ARE TUTORS NOT HOMEWORK SOLVERS.
 Geometry_proofs/133602: B is the midpoint of segment AC. if BC=2x-15 and AC=x+9, find x1 solutions Answer 97778 by checkley71(8403)   on 2008-03-25 15:40:52 (Show Source): You can put this solution on YOUR website!2(2X-15)=X+9 4X-30=X+9 4X-X=9+30 3X=39 X=39/3 X=13 ANSWER.
 Linear-equations/133625: This question was on my most recent test. I got the question wrong but have the opportunity to correct it for extra credit. What is the slope of 3x-y=6? I need to show the steps involved for full credit. Thanks for your assistance.1 solutions Answer 97776 by checkley71(8403)   on 2008-03-25 15:35:59 (Show Source): You can put this solution on YOUR website!Y=mX+b WHERE m=SLOPE. 3x-y=6 -y=-3x+6 y=3x-6 thus the slope=3.
 Geometry_proofs/133603: if angle A and angle B are complementry, and angle A=3x+4 and angle B=5x+6, find x.1 solutions Answer 97774 by checkley71(8403)   on 2008-03-25 15:33:12 (Show Source): You can put this solution on YOUR website!(3x+4)+(5x+6)=90 3x+5x+4+6=90 8x+10=90 8x=90-10 8x=80 x=80/8 x=10 (3*10+4)+(5*10+6)=90 30+4+50+6=90 34+56=90 90=90
 Radicals/133449: (1+4i)(1-3i)1 solutions Answer 97751 by checkley71(8403)   on 2008-03-25 10:42:05 (Show Source): You can put this solution on YOUR website!1+4i 1-3i ------------------------ 1+4i-3i-12i^2 1+i-12(-1) 1+i+12 13+i ANSWER.
 Polynomials-and-rational-expressions/133448: (2+3i)+(-2-3i)1 solutions Answer 97750 by checkley71(8403)   on 2008-03-25 10:38:07 (Show Source): You can put this solution on YOUR website!(2+3i)+(-2-3i) 2+3i-2-3i 2-2+3i-3i 0+0 0
 Polynomials-and-rational-expressions/133584: one of the factors of 6x^2+7x-10 is1 solutions Answer 97749 by checkley71(8403)   on 2008-03-25 10:31:59 (Show Source): You can put this solution on YOUR website!6X^2+7X-10=0 (6X-5)(X+2)=0 6X-5=0 6X=5 X=5/6 ONE ANSWER. X=2=0 X=-2 ANOTHER ANSWER.
 Miscellaneous_Word_Problems/133585: carmine can moe a lawn in 6 hours. Mike can mow the same lawn in 4 hours. How long will it take tem, working together, to mow the lawn?1 solutions Answer 97748 by checkley71(8403)   on 2008-03-25 10:28:41 (Show Source): You can put this solution on YOUR website!6*4/(6+4)=24/10=2.4 HOURS TO MOW THE LAWN WORKING TOGETHER.
 Triangles/133586: Please help, I am stuck. Thank you The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 90 cm, what is the length of the base? I would really appreciate any help you could give.1 solutions Answer 97747 by checkley71(8403)   on 2008-03-25 10:26:22 (Show Source): You can put this solution on YOUR website!ISOSCELESE TRIANGLES HAVE 2 EQUAL SIDES. BASE=X/4 WHERE X=LENGTH OF THE EQUAL SIDES. 2*X+X/4=90 2X+X/4=90 (4*2X+X)/4=90 (8X+X)/4=90 9X=360 X=360/9 X=40 ANSWER FOR THE LENGTH OF THE EQUAL SIDES. BASE=40/4=10 LENGTH OF THE BASE. PROOF 2*40+10=90 80+10=90 90=90
 Miscellaneous_Word_Problems/133548: This question is from textbook Elementary and Intermediate Algebra In section titled: Solving Quadratic Equations by Factoring 96. Venture capital. Henry invested \$12,000 in a new restaurant. When the restaurant was sold two years later, he received \$27,000. Find his average annual return by solving the equation 12,000(1+r)^2=27,000 Thanks for the help.1 solutions Answer 97746 by checkley71(8403)   on 2008-03-25 10:19:08 (Show Source): You can put this solution on YOUR website!12000(1+R)^2=27000 (1+R)^2=27000/12000 (1+R)^2=2.25 1+2R+R^2=2.25 R^2+2R+1-2.25=0 R^2+2R-1.25=0 (R-.5)(R+2.5)=0 5-.5=0 R=.5 OR 50% IS THE ANNUAL RETURN. PROOF: 12000(1+.5)^2=27000 12000(1.5)^2=27000 12000*2.25=27000 27000=27000
 Equations/133554: 7/25= 28/100 fill in the blank fill this problem1 solutions Answer 97745 by checkley71(8403)   on 2008-03-25 10:08:25 (Show Source): You can put this solution on YOUR website!7/25=X/100 25X=700 X=700/25 X=28 ANSWER.
 Rational-functions/133529: Graphing the equation y=x-7 and 2x+5y=101 solutions Answer 97741 by checkley71(8403)   on 2008-03-25 09:54:43 (Show Source): You can put this solution on YOUR website!Y=X-7 (RED LINE) 2X+5Y=10 5Y=-2X+10 Y=-2X/5+10/5 Y=-2X/5+2 (GREEN LINE) (graph 300x200 pixels, x from -6 to 10, y from -10 to 10, of TWO functions x -7 and -2x/5 +2). SOLUTION(45/7,-4/7)
 Quadratic-relations-and-conic-sections/133556: Identify and solve x^2-10x-2y+19=0 and state whether it is a cirle, ellipse, hyperbola, or parabola.1 solutions Answer 97737 by checkley71(8403)   on 2008-03-25 09:43:37 (Show Source): You can put this solution on YOUR website!X^2-10X-2Y+19=0 -2Y=-X^2+10X-19 Y=-X^2/-2+10X/-2-19/-2 Y=X^2/2-5X+19/2 (graph 300x200 pixels, x from -6 to 15, y from -10 to 10, x^2/2 -5x +19/2). ANSWER=PARABOLA.