Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'Gogonati'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809, >>Next

 Percentage-and-ratio-word-problems/494855: at a run festival, 3/5 of the runners are women. if there are 550 runners, how many are women?1 solutions Answer 335823 by Gogonati(809)   on 2011-09-10 09:50:45 (Show Source): You can put this solution on YOUR website!The women are 3*550/5=330.
 Trigonometry-basics/494838: Please help me with this problem. I need to solve the equation for solutions over the interval [0 degrees,360 degrees): 1 solutions Answer 335822 by Gogonati(809)   on 2011-09-10 09:48:13 (Show Source): You can put this solution on YOUR website!Substitute in our equation => => From the final equation we get: cosx=1 and cosx=-1. Solving this two equations we get:1) cosx=1 => , and 2)cosx=-1 => , where n=0, +-1, +-2, ...
 Functions/493099: How do you solve f(x)=8? With f(x)=x^2-x-121 solutions Answer 335283 by Gogonati(809)   on 2011-09-07 17:23:23 (Show Source): You can put this solution on YOUR website! Set the equation equal to zero Solve this quadratic equation The roots are x=-4 and x=5.
 Percentage-and-ratio-word-problems/493083: \$1800 is invested at 6% per year compounded quarterly. The amount obtained after 2 years is A) 222.72.46 B) \$1910.45 C) \$2027.69 D) 2868.93 Please show how you got it I don't understand what "compounded quarterly" means and also explain what "Semi-annually" is :s1 solutions Answer 335282 by Gogonati(809)   on 2011-09-07 17:18:32 (Show Source): You can put this solution on YOUR website! , substituting we get: A(t)=\$2027.69 The correct answer is C.
 Equations/493076: please help me solve this equation for y: y(y-4)(7y+2)=01 solutions Answer 335279 by Gogonati(809)   on 2011-09-07 17:03:57 (Show Source): You can put this solution on YOUR website!Set each factor on the left side to zero: y=0; y-4=0 => y=4; 7y+12=0 => y=-12/7 Answer:The solution set is {-12/7, 0, 4}
 logarithm/493072: Alright, the question is log base 3 2x+log base 3 7= log base 3 28. I know that the answer is 2, but i have no clue how to get to it. I tried canceling out the log base 3 part since they are all the same, and then it came out to 2x+7=28 and solved that, but then x would equal 10.5z please help!1 solutions Answer 335278 by Gogonati(809)   on 2011-09-07 16:59:44 (Show Source): You can put this solution on YOUR website! 2x=4 x=2
 Quadratic_Equations/492989: Can someone help? 51p=2p^2+721 solutions Answer 335273 by Gogonati(809)   on 2011-09-07 16:52:38 (Show Source): You can put this solution on YOUR website!Set the equation equal to zero and use the quadratic formula to find the solution p=24 and p=2/3.
 Rational-functions/493036: Suppose f(x)=2x+5. Find the value if -2f(x+1) It doesn't make any sense on how to solve.1 solutions Answer 335266 by Gogonati(809)   on 2011-09-07 16:36:21 (Show Source): You can put this solution on YOUR website!-2f(x+1)=-2[2(x+1)+5]=-2(2x+7)=-4x-14
 Quadratic_Equations/491547: Find a quadratic equation with the given roots r1 and r2. Write the answer in the form ax2 + bx + c = 0, where a, b, and c are integers and a > 0. r1 = 4 and r2 = 111 solutions Answer 334682 by Gogonati(809)   on 2011-09-05 15:28:37 (Show Source): You can put this solution on YOUR website!Since the roots are r1=4 and r2=11 the quadratic equation will be: , assuming a=1, substituting the roots we get: Answer:An quadratic equation with the given roots 4 and 11 is .
 absolute-value/491488: how to solve |4x+5|=2x+41 solutions Answer 334677 by Gogonati(809)   on 2011-09-05 15:18:42 (Show Source): You can put this solution on YOUR website!By the definition of absolute value: if 4x+5>=0, and , if4x+5<0 Thus we will solve two equations: 1)If x>=-5/4 we get :4x+5=2x+4 <=>2x=-1 <=>x=-1/2. 2)If x<-5/4 we get:-4x-5=2x+4 <=>6x=-9 <=>x=-3/2.
 Equations/491534: Can someone help? Factor the following expression into a product of two binomials: 64x^2-64x+161 solutions Answer 334668 by Gogonati(809)   on 2011-09-05 15:01:35 (Show Source):
 test/491535: Hello everyone, I need help please? Completely factor the following expression: 49x2 – 28xy + 4y21 solutions Answer 334665 by Gogonati(809)   on 2011-09-05 14:57:51 (Show Source):
 Equations/491536: Completely factor the following expression: 9y2 – 16z21 solutions Answer 334661 by Gogonati(809)   on 2011-09-05 14:53:47 (Show Source):
 Linear-systems/490647: Solve. <(is less than or equal to) -11 < 3x-4 < -3 =1 solutions Answer 334227 by Gogonati(809)   on 2011-09-03 17:03:12 (Show Source): You can put this solution on YOUR website!-11<3x-4<-3 -11+4<3x-4+4<-3+4 -7<3x<1 -7/3<3x/3<1/3 -7/3< x <1/3 The solution set is:{ x: -7/3< x < 1/3 }.
 Numbers_Word_Problems/490659: the sum of four consecutive odd integers if the first integer is x. write as an algebraic expression. 1 solutions Answer 334225 by Gogonati(809)   on 2011-09-03 16:55:07 (Show Source): You can put this solution on YOUR website!x+(x+2)+(x+4)+(x+6)=4x+12.
 Equations/490662: Need help.. Factor out the greatest common factor from the expression 27x^6-18x1 solutions Answer 334223 by Gogonati(809)   on 2011-09-03 16:51:57 (Show Source):
 Equations/490666: Factor the expression 16a^2-72ab+81b^2 into a product of binomials.1 solutions Answer 334222 by Gogonati(809)   on 2011-09-03 16:49:49 (Show Source):
 Graphs/490702: if m = -2/3, and passes through (5,-4) write linear equation. 1 solutions Answer 334219 by Gogonati(809)   on 2011-09-03 16:44:57 (Show Source): You can put this solution on YOUR website!The equation will be:. Converting in the standard form we get: <=> .
 Miscellaneous_Word_Problems/490671: Factor the following expression completely: -6x3 – 20x2 + 16x1 solutions Answer 334217 by Gogonati(809)   on 2011-09-03 16:36:33 (Show Source):
 test/490679: A line through the point (4,7) and parallel to the line y=21 solutions Answer 334212 by Gogonati(809)   on 2011-09-03 16:20:13 (Show Source): You can put this solution on YOUR website!A line through the point (4, 7) and parallel to the line y=2 is the line y=7.
 Divisibility_and_Prime_Numbers/489708: Simplify to get a single fraction: c.(x^2+6x+8)/(x^2-4) don't really get this bc i got 1 remainder 6x+4, but that's not a single fraction. help please!1 solutions Answer 333752 by Gogonati(809)   on 2011-09-01 12:53:43 (Show Source):
 Numbers_Word_Problems/489758: nine less than twice a number is 141 solutions Answer 333749 by Gogonati(809)   on 2011-09-01 12:48:44 (Show Source): You can put this solution on YOUR website!The equation will be:14=9-2x <=>5=-2x <=>x=-5/2 or x=-2.5
 Rate-of-work-word-problems/489756: If 3 people can do a job in 20 hours how long would it take 4 people to do the same job. I tried a ratio: 3 is to 4 as 20 is to x (3/4 =20/x) = 60/4x divide each side by 4 and x is 15. Am I on the right track?1 solutions Answer 333747 by Gogonati(809)   on 2011-09-01 12:45:24 (Show Source): You can put this solution on YOUR website!You are on the right track because the quantities in this problem are into inverse proportion. x*y=k<=>k=20*3=60, and 4*x=60<=> x=15.
 Linear-equations/489739: I need help with this problem: Find y if the line through (3,1) and (7,y) has a slope of 2. Thanks for your response.1 solutions Answer 333744 by Gogonati(809)   on 2011-09-01 12:38:03 (Show Source): You can put this solution on YOUR website!The equation of the line is:, where (x, y)=(3, 1), and (xo, yo)=(7, y)substituting into above equation we get: <=><=>.
 Proportions/488460: solve for porportions 2/x-3=5/x-21 solutions Answer 333384 by Gogonati(809)   on 2011-08-30 16:52:42 (Show Source): You can put this solution on YOUR website!To solve the proportion , we cross multiply: 2(x-2)=5(x-3), distribute both sides of equation 2x-4=5x-15<=>3x=11<=>x=11/3.
 Numbers_Word_Problems/488409: Two different numbers are made up of the same two digits. The sum of the digits is 8 and the difference between the numbers is 36. Find the numbers.1 solutions Answer 333383 by Gogonati(809)   on 2011-08-30 16:46:22 (Show Source): You can put this solution on YOUR website!Let the first digit be x and the second digit be y. Since the sum of the digits is 8, we write the first equation of the system: x+y=8. Since the difference between the numbers is 36 we write the second equation: 10x+y-(10y+x)=36, simplifying this equation we get: 10(x-y)-(x-y)=36 (x-y)(10-1)=36 9(x-y)=36 x-y=4, is the second equation of the system: Solving this system we get: x=6, and y=2 Answer: The numbers are 62 and 26.
 Numeric_Fractions/488445: Find the slope of the line passing through the points (-3,7) and (-3,-5)1 solutions Answer 333378 by Gogonati(809)   on 2011-08-30 16:29:30 (Show Source): You can put this solution on YOUR website!The slope of this line is undefined because is perpendicular to the x-axis.
 Miscellaneous_Word_Problems/488420: The cost to purchase and install carpet in a 15 ft. by 16 ft. rectangular room was more than \$6000. What was the price per sq. ft. to buy and install the carpet?1 solutions Answer 333376 by Gogonati(809)   on 2011-08-30 16:25:11 (Show Source): You can put this solution on YOUR website!The area of the rectangular room is 15*16=240 sq. ft. The price per sq. ft will be:6000/240=25. Answer:The price per sq. ft. to buy and install the carpet is more than \$25.
 Equations/488438: Gevin borrowed money from his parent to purchase a game system for \$150. Write an equation to represent y, the amount he still owes, after x monthly payments of \$5 each.1 solutions Answer 333373 by Gogonati(809)   on 2011-08-30 16:18:16 (Show Source): You can put this solution on YOUR website!The amount he still owes represented from the equation: y=150-5x, where x represent the number of months.
 Age_Word_Problems/488434: Craig is 24 years younger than his mother. Together their ages total 56 years. How is each person? Explain how you found your answer. I need help why this question i have been trying for one hour to do it.1 solutions Answer 333370 by Gogonati(809)   on 2011-08-30 16:13:48 (Show Source): You can put this solution on YOUR website!Let mother's age be x years , then Craig's age is x-24 years. Since together their ages total is 56 years, we write the equation: x+x-24=56, solving this equation we get mother's age. 2x-24=56 2x-24+24=56+24 2x=80 divide both sides by 2, and get x=40. Answer:Mother's age is 40, and Craig's age is 40-24= 16.
 Linear-equations/486515: Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -21 solutions Answer 332562 by Gogonati(809)   on 2011-08-26 16:39:10 (Show Source): You can put this solution on YOUR website!We write the equation -7x+9y=-2 in the slope intercept form As we know perpendicular lines have reciprocal negatives slopes. Therefore we must find the equation of a line with slope -9/7 through the point (-7, 6). This equation is given by the formula , substituting we get: . Simplifying this equation we get: , what is the required equation.