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# Recent problems solved by 'checkley75'

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 Exponents/105217: i have been working on the problem and not figuring out where they got there answer if someone could explain it to me...... (3x+7)exponent of 2 outside of ()1 solutions Answer 76580 by checkley75(3666)   on 2007-10-19 20:57:53 (Show Source): You can put this solution on YOUR website!I DON'T TUTOR FOR PAY ON THIS SITE BUT I HAVE DONE SOME LOCAL TUTORING FOR A FEE. I'M NOT REALLY INTERESTED IN FEES BUT WILL HELP WHEN & WHEREVER I CAN. KEEP USING THIS SITE AS IT HAS MANY SMARTER MATH PEOPLE THAN I AM. GOOD LUCK!!!!!! : ) ---------------------------------------------------------------------- (3X+7)^2=(3X+7)(3X+7) OR 3X+7 3X+7 NOW MULTIPLY USING THE FOIL PROCESS. ------------------------- 9X^2+21X+21X+49 9X^2+42X+49 FOIL STANDS FOR FIRST, OUTER, INNER & LAST. THIS IS THE ORDER TO MULTIPLY SO YOU DON'T MISS NOR ANY ONE TERM TWICE. FIRST=(3X+7)(3X+7) 3X*3X=9X^2 OUTER=(3X+7)(3X+7) 3X*7=21X INNER=(3X+7)(3X+7) 7*3X=21X LAST=(3X+7)(3X+7) 7*7=49 THAT'S WHY YOU HAVE 2 (21X) TERMS DUE TO THE OUTER & THE INNER MULTIPLICATIONS.
 Linear_Equations_And_Systems_Word_Problems/105189: An airplane covered 24 miles of its route while decreasing its altitude by 36,000 feet. Find the slope of the airplane's line of descent. Round to the nearest hundredth. Hint: (1 mi = 5280 feet) 1 solutions Answer 76578 by checkley75(3666)   on 2007-10-19 20:54:23 (Show Source): You can put this solution on YOUR website!USING A GRAPHING TECHNIQUE WE HAVE A STARTING POINT OF (0,0). WE THEN HAVE ANOTHER POINT OF X=24*5,280=126,720 FEET (126,720,0) WE ALSO HAVE A Y POINT OF -36,000 (126,720-36,000) NOW WE CAN FIND THE SLOPE (Y2-Y1)/(X2-X1) (-36000-0)/(126,720-0) -36,000/126,720=-.28 IS THE VALUE OF THE SLOPE.
 Percentage-and-ratio-word-problems/105082: Genetics : Approximately one-seventh of the people in the world are left-handed. Write down and solve an equation to estimate how many people in the US are left-handed if the population of the US is about 300 million.1 solutions Answer 76576 by checkley75(3666)   on 2007-10-19 20:44:27 (Show Source): You can put this solution on YOUR website!1/7*300,000,000=42,857,142 IS THE NUMBER OF LEFT HANDED PEOPLE
 Polynomials-and-rational-expressions/105166: Help ! How do I find the values of each of the following polynomials for the given values of the variable?? 2x^2 -5x+1, x=2 and x = -2 Thank you!!1 solutions Answer 76575 by checkley75(3666)   on 2007-10-19 20:34:55 (Show Source): You can put this solution on YOUR website!2X^2-5X+1 2*2^2-5*2+1 2*4-10+1 8-10+1=-1 ANSWER WHEN X=2. ------------------------- 2*-2^2-5*-2+1 2*4+10+1 8+10+1=19 ANSWER WHEN X=-2.
 Polynomials-and-rational-expressions/105196: Multiply 5ab^2(ab - 3a + 5b) 1 solutions Answer 76572 by checkley75(3666)   on 2007-10-19 20:26:07 (Show Source): You can put this solution on YOUR website!AB-3A+5B 5AB^2 NOW MULTIPLY --------------------------------- 5A^2B^3-15A^2B^2+25AB^3 ANSWER.
 Numbers_Word_Problems/105199: The sum of two consecutive odd numbers is 32. What is the product of the two numbers? Can you please help me Thanks1 solutions Answer 76571 by checkley75(3666)   on 2007-10-19 20:23:12 (Show Source): You can put this solution on YOUR website!X+(X+2)=32 2X+2=32 2X=32-2 2X=30 X=30/2 X=15 ANSWER FOR THE FIRST ODD NUMBER. 15+2=17 FOR THE OTHER ODD NUMBER. 15*17=255 ANSWER FOR THE PRODUCT OF THESE 2 ODD NUMBERS.
 Equations/105209: Solve the equation: 2x - 5 = -13 1 solutions Answer 76569 by checkley75(3666)   on 2007-10-19 20:20:45 (Show Source): You can put this solution on YOUR website!2X-5=-13 2X=-13+5 2X=-8 X=-8/2 X=-4 ANSWER. PROOF 2*-4-5=-13 -8-5=-13 -13=-13
 Mixture_Word_Problems/105215: Eve was twice as old as her sister Teresa in 2006. Eve was born in 1992. How old will Teresa be in 2009. Can you please help me, I am lost when comes to Math. Please provide a step by step solution Appreciate it! Thanks 1 solutions Answer 76568 by checkley75(3666)   on 2007-10-19 20:18:39 (Show Source): You can put this solution on YOUR website!E=2T IN 2006 E=2006-1992=14 YEARS OLD. 14=2T T=14/2=7 YEARS OLD IN 2006 T WILL BE [7+(2009-2006)=7+3=10] YEARS OLD IN 2009.
 Rate-of-work-word-problems/105081: I have two questions #1-After inheriting some money, a woman wants to invest enough to have an annual income of \$5,000. If she can invest \$20,000 at 9% annual interest, how much more will she have to invest at 7% to achieve her goal? #2-Equal amounts are invested at 6%, 7%, and 8% annual interest, if the three investments yield total of \$2,037 annual interest, find the total investment.1 solutions Answer 76451 by checkley75(3666)   on 2007-10-18 22:18:41 (Show Source): You can put this solution on YOUR website!.09*20,000+.07X=5,000 1,800+.07X=5,000 .07X=5,000-1,800 .07X=3,200 X=3,200/.07 X=45,714.29 IS THE AMOUNT INVESTED @ 7% TO ACHIEVE THE REQUIRED INCOME. PROOF .09*5,000+.07*45,714.29=5,000 1,800+3,200=5,000 5,000=5,000 -------------------------------------------------------- .06X+.07X+.08X=2,037 .21X=2,037 X=2,037/.21 X=9,700 INVESTED @ EACH RATE OF 6%, 7% & 8%. 3*9,700=29,100 IS THE TOTAL AMOUNT INVESTED. PROOF .06*9,700+.07*9,700+.08*9,700=2,037 582+679+776=2,037 2,037=2,037
 Linear-equations/105078: what is the equation of the line perpendicular to -8x+2y=-2 that contains point (-5,8)1 solutions Answer 76449 by checkley75(3666)   on 2007-10-18 22:04:33 (Show Source): You can put this solution on YOUR website!FIRST WE NEED TO FIND THE SLOPE OF THE GIVEN LINE USING --- Y=mX+b WHERE m=SLOPE & b= THE Y INTERCEPT. -8X+2Y=-2 2Y=8X-2 Y=8X/2-2/2 Y=4X-1 THUS THIS EQUATION HAS A SLOPE (m)=4. A PERPENDICULAR LINE WILL HAVE A SLOPE OF THE NEGATIVE RECIPRICAL OF THIS SLOPE: THUS THE PERPENDICULAR LINE HAS A SLOPE=-1/4. NOW REPLACE THE X & Y TERMS BY -5 & 8 & SOLVE FOR b. 8=-1/4*-5+b 8=5/4+b b=8-5/4 b=(32-5)/4 b=27/4 THIS IS THE Y INTERCEPT OF THE PERPENDICULAR LINE THROUGH THE POINT (-5,8). Y=-X/4+27/4 IS THE DESIRED EQUATION.
 Volume/105001: Find the volume of a right circular cone where the radius of the base is 21 in. and the height is 9 in. Give the exact value. I think the formula is V=1/3 pie r squared h.1 solutions Answer 76435 by checkley75(3666)   on 2007-10-18 18:00:09 (Show Source): You can put this solution on YOUR website!V=1/3*3.14*21^2*9 V=(3.14*441*9)/3 V=12,462.67/3 V=4,154.22 CUBIC INCHES IS THE ANSWER FOR THE VOLUME.
 Rectangles/104997: The perimeter of a rectangle is 46 ft. The length of the rectangle is 5 ft less than 3 times the width. Find the length of the rectangle.1 solutions Answer 76434 by checkley75(3666)   on 2007-10-18 17:55:01 (Show Source): You can put this solution on YOUR website!L=3W-5 2L+2W=46 2(3W-5)+2W=46 6W-10+2W=46 8W=46+10 8W=56 W=56/8 W=7 ANSWER FOR THE WIDTH. L=3*7-5 L=21-5 L=16 ANSWER FOR THE LENGTH. PROOF 2*16+2*7=46 32+14=46 46=46
 Equations/104998: Hi I need help with this problem What is 7-2n=n-14?1 solutions Answer 76432 by checkley75(3666)   on 2007-10-18 17:49:01 (Show Source): You can put this solution on YOUR website!7-2N=N-14 -2N-N=-14-7 -3N=-21 N=-21/-3 N=7 PROOF: 7-2*7=7-14 7-14=7-14 -7=-7
 Triangles/104995: In a triangle, the measure of one angle is 60 degrees, the second angle is twice the measure of the third angle. Find the measures of the second and third angles.1 solutions Answer 76431 by checkley75(3666)   on 2007-10-18 17:46:35 (Show Source): You can put this solution on YOUR website!60+2*X+X=90 60+2X+X=90 3X=90-60 3X=30 X=30/3 X=10 DEGREES FOR THE THIRD ANGLE. 2*10=THE SECOND ANGLE. PROOF 60+20+10=90 90=90
 Human-and-algebraic-language/104994: This question is from textbook Algebra Suppose your sister wants to qualify for a regional gymnastics competition. At today's competition she must score at least 34.0 points. She scored 8.8 on the vault, 7.9 on the balance beam, an 8.2 on the uneven parallel bars. The event that remains is the floor exercise. a. Write and solve an inequality that models the information. b. Explain what the solution means in terms of the original situation. c. Open-Ended Write three scores your sister could make that would allow her to qualify for the regional gymnastics competition.1 solutions Answer 76430 by checkley75(3666)   on 2007-10-18 17:43:30 (Show Source): You can put this solution on YOUR website!7.9+8.8+8.2+X=34 24.9+X=34 X=34-24.9 X=9.1 ANSWER FOR THE SCORE NEEDED IN THE FINAL EVENT TO QUALIFY. THE ORIGINAL SITUATION: SHE SHOULD HAVE DONE BETTER IN THE FIRST THREE EVENTS. SHE COULD SCORE 92, 93 OR 95 IN THE FINAL EVENT & QUALIFY.
 Trigonometry-basics/104990: Adult tickets for a play cost \$15 and child tickets cost \$13. If there were 26 people at a performance and the theater collected \$364 from ticket sales, how many adults and how many children attended the play? VERY bad with word problems1 solutions Answer 76429 by checkley75(3666)   on 2007-10-18 17:36:14 (Show Source): You can put this solution on YOUR website!15A+13C=364 A+C=26 OR A=26-C NOW REPLACE A WITH(26-C) IN THE FIRST EQUATION. 15(26-C)+13C=364 390-15C+13C=364 -2C=364-390 -2C=-26 C=-26/-2 C=13 CHILDREN TICKETS SOLD. 26-13=13 ADULT TICKETS SOLD. PROOF 15*13+13*13=364 195+169=364 364=364
 Trigonometry-basics/104991: A backyard has dimensions 1 1/2 yards by 2 4/5 yards. What is the area of the back yard in square yards (yd2)? these are whole numbers and fractions and the yd the 2 are one of those tiny numbers.1 solutions Answer 76428 by checkley75(3666)   on 2007-10-18 17:31:45 (Show Source): You can put this solution on YOUR website!1 1/2=3/2 2 4/5=14/5 NOW MULTIPLY THESE FRACTIONS TO FIND THE SQ YDS. 3/2*14/5=42/10=4.2 SQ YDS. IS THE AREA OF THIS YARD.
 Numeric_Fractions/104988: Alex drove 500 miles in 15 days. At the same rate, how long would it take Alex to drive 5,000 miles?1 solutions Answer 76427 by checkley75(3666)   on 2007-10-18 17:28:33 (Show Source): You can put this solution on YOUR website!15/500=X/5,000 500X=15*5,000 500X=75,000 X=75,000/500 X=150 DAYS TO DRIVE 5,000 MILES.
 Trigonometry-basics/104985: Divide. Write the result in simplest form. 3 1/5 divided by 2 2/3 the first number is a whole number and the other 2 are fractions and I need help please.1 solutions Answer 76426 by checkley75(3666)   on 2007-10-18 17:24:04 (Show Source): You can put this solution on YOUR website!3 1/5=16/5 2 2/3=8/3 (16/5)/(8/3) NOW INVERT THE DENOMINATOR & MULTIPY THESE FRACTIONS. 16/5*3/8 48/40=6/5 ANSWER.
 Percentage-and-ratio-word-problems/104952: -3.38=r-9.761 solutions Answer 76424 by checkley75(3666)   on 2007-10-18 17:19:31 (Show Source): You can put this solution on YOUR website!-3.38=R-9.76 R=9.76-3.38 R=6.35 ANSWER.
 Travel_Word_Problems/104984: The time in seconds that it takes for an object to fall to the ground from a building that is 1400 ft high. t=1/4 sqrt s any help would be greatly appreciated.1 solutions Answer 76423 by checkley75(3666)   on 2007-10-18 17:16:28 (Show Source): You can put this solution on YOUR website!t=1/4sqrt1400 t=1/4*37.42 t=9.354 seconds. answer.
 Polynomials-and-rational-expressions/104975: solve. x^2=-6x1 solutions Answer 76422 by checkley75(3666)   on 2007-10-18 17:13:58 (Show Source): You can put this solution on YOUR website!x^2=-6x x^2+6x=0 x(x+6)=0 x=0 answer. x+6=0 x=-6 answer.
 Polynomials-and-rational-expressions/104976: what values from x must be excluded in the following fraction? 1/x+91 solutions Answer 76421 by checkley75(3666)   on 2007-10-18 17:12:01 (Show Source): You can put this solution on YOUR website!excluded would be +-0.
 Square-cubic-other-roots/104983: I would love to get help with the problem below. Thank you very very much! 18+sqrt567 ___________ 91 solutions Answer 76419 by checkley75(3666)   on 2007-10-18 17:10:09 (Show Source): You can put this solution on YOUR website!(18+sqrt567)/9 (9*2+sqrt[9*9*7])/9 (9*2+9sqrt7)/9 9(2sqrt7)/9 now cancel out the 9's. 2sqrt7 answer.
 Trigonometry-basics/104978: Determine which two equations represent parallel lines. (a) y = 9x – 7 (b) y = –9x + 7 (c) y = 9x + 3 (d) y = -1/9x – 7 I have no idea even how to begin to figure this out. (the above is a fraction) I put this on before but did not understand the answer. Sorry I am not so good at math. 1 solutions Answer 76416 by checkley75(3666)   on 2007-10-18 17:05:37 (Show Source): You can put this solution on YOUR website!a & c are parallel lines because they have the same slope (m=9). the line formula is Y=mX+b
 Square-cubic-other-roots/104980: Please help... sqrt63 - 2sqrt28 + 5sqrt7 These are so confusing for me.1 solutions Answer 76415 by checkley75(3666)   on 2007-10-18 17:02:01 (Show Source): You can put this solution on YOUR website!sqrt63=sqrt9*7=3sqrt7 2sqrt28=2sqrt4*7=2*2sqrt7=4sqrt7 3sqrt7-4sqrt7+5sqrt7=4sqrt7 answer.
 Miscellaneous_Word_Problems/104923: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together? 1 solutions Answer 76380 by checkley75(3666)   on 2007-10-18 10:53:12 (Show Source): You can put this solution on YOUR website!4*6/(4+6)=24/10=2.4 hours if they work together.
 Polynomials-and-rational-expressions/104926: For f(x) = 9x – 2, find f(-3). Totally lost again. Thank you for looking at the problem!1 solutions Answer 76379 by checkley75(3666)   on 2007-10-18 10:51:37 (Show Source): You can put this solution on YOUR website!f(x)=9x-2 now just substitute -3 for x & solve. f(-3)=9*-3-2 f(-3)=-27-2 f(-3)=-29 answer.
 Probability-and-statistics/104933: A sales representative calls on four hospitals. It is immaterial what order he calls them. how many ways can he organize his calls? 1 solutions Answer 76378 by checkley75(3666)   on 2007-10-18 10:48:53 (Show Source): You can put this solution on YOUR website!For the first call he has 4 choices. For the next call he has 3 choices. For the next call he has 2 choices. For the last call he has 1 choice. now multiply these choices: 5*4*3*2*1=120 are the possible choices he has.
 Coordinate-system/104928: Graph 3x+2y=6 2y=-3x+6 y=-3x/2+6/2 y=3x/2+3 How would this be graphed? Would it be graphed with the line running through (2,0) and (3,0)?1 solutions Answer 76377 by checkley75(3666)   on 2007-10-18 10:45:36 (Show Source): You can put this solution on YOUR website!Y=3X/2+3 (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = 3x/2 +3). This graph says the answer to your question is NO!!!!!!
 Polynomials-and-rational-expressions/104929: Perform indicated operations (x^2-11x+4)-(-2x^2+2x-6)-(X^2+6x-5) Completely lost again! Thanks1 solutions Answer 76375 by checkley75(3666)   on 2007-10-18 10:42:01 (Show Source): You can put this solution on YOUR website!X^2-11X+4 2X^2-2X+6 -X^2-6X+5 ---------------------------- 2X^2-19X+15