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# Recent problems solved by 'tutorcecilia'

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 Numbers_Word_Problems/596291: four subtracted from the product of five and a number is 711 solutions Answer 377666 by tutorcecilia(2152)   on 2012-04-07 23:06:08 (Show Source): You can put this solution on YOUR website!four subtracted from the product of five and a number is 71 Let a number = x Product = to multiply 5x - 4 = 71
 Functions/594236: Find g(1) if g(x) = x^2 + 11 solutions Answer 376660 by tutorcecilia(2152)   on 2012-04-01 21:04:32 (Show Source): You can put this solution on YOUR website!Find g(1) if g(x) = x^2 + 1 Substitute 1 for x: 1^2 + 1 1+1=2
 Geometry_Word_Problems/594105: if \$80 is estimated to be the average fuels cost (f) and the monthly hanger rental is 5000, write an equation for the cost, c, in terms of x1 solutions Answer 376609 by tutorcecilia(2152)   on 2012-04-01 16:07:17 (Show Source): You can put this solution on YOUR website!if \$80 is estimated to be the average fuels cost (f) and the monthly hanger rental is 5000, write an equation for the cost, c, in terms of x . THe fixed or unchanging cost is \$80 for utilities or fuels. The cost per month is \$5000. The cost depends on the fixed cost plus how many months the hanger is rented for (x = number of months rented). . C(x) = 5000x + 80
 Quadratic_Equations/594095: cual seria la tabla de tabulacion de esta ecuacion 2x^2-3x-9=01 solutions Answer 376603 by tutorcecilia(2152)   on 2012-04-01 15:18:48 (Show Source): You can put this solution on YOUR website!you must speake English if you want us to help you.
 Inequalities/594090: 10x>14x+8 what is the value of x1 solutions Answer 376602 by tutorcecilia(2152)   on 2012-04-01 15:17:39 (Show Source): You can put this solution on YOUR website!10x>14x+8 what is the value of x 10X - 14X > 8 -4X > 8 < Flip the inequality whenever you multiply or divide by a negative number . X<-2 . check by plugging in values less than -2
 Equations/593977: 9x-7=-11 how to find the x this is what i tried: 9x-7=-11 9x=-11+7 9x=-4 x=? ? = i'am stuck here :( 1 solutions Answer 376561 by tutorcecilia(2152)   on 2012-04-01 07:57:10 (Show Source): You can put this solution on YOUR website!You were almost there! Think about which operation is the oposite of multiplication? . To get rid of the 9, divide both sides by 9. . 9x-7=-11 9x = -11 +7 9x = -4
 Exponents/593911: simplify (-2xy^3)(-8x^3y^5)1 solutions Answer 376530 by tutorcecilia(2152)   on 2012-03-31 20:39:01 (Show Source): You can put this solution on YOUR website!simplify (-2xy^3)(-8x^3y^5)
 Mixture_Word_Problems/593912: jASON HAD TO SUBMIT 5 PROJECTS. HE SCORED 88,79,76 AND 90 POINTS OUT OF 100 ON 4 PROJECTS. WHAT WOULD THE SCORE BE ON THE FIFTH PROJECT SO THAT THE AVERAGE IS 83?1 solutions Answer 376528 by tutorcecilia(2152)   on 2012-03-31 20:15:51 (Show Source): You can put this solution on YOUR website!jASON HAD TO SUBMIT 5 PROJECTS. HE SCORED 88,79,76 AND 90 POINTS OUT OF 100 ON 4 PROJECTS. WHAT WOULD THE SCORE BE ON THE FIFTH PROJECT SO THAT THE AVERAGE IS 83? =83 =83 333+x = (83)(5) 333+x) = 415 x=415-333 x=82 . check by plugging 82 back into the equation (let x=82).
 Linear-systems/423658: What would the vertex of this equation be f(x) = x2+10x+9 ??1 solutions Answer 295425 by tutorcecilia(2152)   on 2011-03-17 21:00:20 (Show Source): You can put this solution on YOUR website!The formula for the x-variable of the vertex is . f(x) = x2+10x+9 So identify the a, b, and c coeficients: a= +1; b = +10; and c=+9 . Plug-in the variables and solve for the x-value: x= -5 . Plug-in x=-5 and solve for the y-variable . =25-50+9 y = -16 . so the vertex is (-5, -16)
 Triangles/422937: which is larger, a triangle with an area of 25 square yards, or a triangle with an area of 25 square meters?1 solutions Answer 295107 by tutorcecilia(2152)   on 2011-03-16 15:16:27 (Show Source): You can put this solution on YOUR website!To solve, change yards to meters or meters to yards. Than you can compare units that are the same. 1 yard = 0.9144 meters or 1 meter = 1.0936 yards. . The units of measurement must be the same before you can compare them.
 Linear-equations/422862: Find an equation of the line in the slope-intercept form containing the point (1,-5) and perpendicular to the line 2x+y = -41 solutions Answer 295093 by tutorcecilia(2152)   on 2011-03-16 14:23:50 (Show Source): You can put this solution on YOUR website!Remember the rule that perpendicular lines have slopes that are the negative inverse of each other. . First find the slope of the first line by getting the y-value to one side: 2x+y= -4 y= -2x -4 In the slope-intercept format, y = mx + b, where the m-value represents the slope, so the slope is -2. . Secondly, the slope of the second perpendicular line is the "negative inverse" of the first slope, so: -2 becomes 1/2 (flip the slope and multiply it by a negative 1 (-1)). . Thirdly, plug-in the values for the second line and put them in the y=mx+b form: x= 1; y=-5; and the slope m = 1/2, so, we need to solve for the b-value: y=mx+b -5 =(1/2)(1) + b -5-(1/2) = b b=-5.5, so . The second line is y = (1/2) x + 4.5 . You should go back and check this by plugging in all of the values.
 Proportions/422875: if 4 sweaters cost \$51.04, how much would 6 sweaters cost? 1 solutions Answer 295082 by tutorcecilia(2152)   on 2011-03-16 13:38:28 (Show Source): You can put this solution on YOUR website!This is a problem involving ratios. First find the ratio of dollars to sweaters. That means, how much would just 1 sweater cost if 4 sweaters cost \$51.04? . if 4 sweaters cost \$51.04: \$51.04 / 4 sweaters = \$12.76 / 1 sweater . Since one sweater costs \$12.76, multiply this by 6 sweaters and you get: . how much would 6 sweaters cost? \$12.76 x 6 sweaters = \$76.56
 Functions/384555: : given the function f(x)=8x+5, find each of the following f(10),f(-1),f(0)1 solutions Answer 272220 by tutorcecilia(2152)   on 2010-12-11 18:10:22 (Show Source): You can put this solution on YOUR website!given the function f(x)=8x+5, find each of the following f(10),f(-1),f(0) plug-in each x-value and solve the equation: f(10)=8(10)+5=85 f(-1)=8(-1)+5=-3 f(0)=8(0)+5=?
 Rational-functions/384557: how do you solve a rational expressions 1 solutions Answer 272219 by tutorcecilia(2152)   on 2010-12-11 18:06:51 (Show Source): You can put this solution on YOUR website!please give an example
 Quadratic_Equations/384335: How do u graph- y=x^2+2x-3. Please make it easy to understand!! 1 solutions Answer 272074 by tutorcecilia(2152)   on 2010-12-10 22:38:25 (Show Source): You can put this solution on YOUR website! y=x^2+2x-3 the easiest way is to use a table of values. you can pick a few numbers for x, plug them in and solve for y. . for example, if x = 1, y=1^2 + 2(1)- 3 = 0, so one point is (1, 0) pick othe values for x such as 0, -1, -3, -4, 1, 3, 5. . plug each number in (one at a time) and solve for y. this will give you a lot of points. plot the points on a graph and connect the dots. the graph should look like this:
 Miscellaneous_Word_Problems/380807: Jason had to submit five animation projects as per his syllabus in the final semesters. He scored 88, 72, 85, and 76 points out of 100 in four projects. What should be his score in the fifth project so that the average of all the projects is at least 83? 1 solutions Answer 270258 by tutorcecilia(2152)   on 2010-12-04 19:09:03 (Show Source): You can put this solution on YOUR website!use the formula for finding the average: sum/number=average sum =88+72+85+76+x since you don't know the value of the fifth point, substitute "x" . number = 5 average = 83 . so, (88+72+85+76+x)/5=83 simplify and solve for "x" =(321+x)/5=83 =321+x=(83)(5) 321+x =415 x=415-321 x=94 be sure to check your answwer by plugging x = 94 back into the equation
 Miscellaneous_Word_Problems/380808: An employee who produces x units per hour earns an hourly wage of y = 0.45x + 10 (in dollars). Find the hourly wage for an employee who produces 9 units per hour.1 solutions Answer 270250 by tutorcecilia(2152)   on 2010-12-04 18:52:34 (Show Source): You can put this solution on YOUR website!Since x = 9 units, subsitute 9 for x in the equation and solve: y = 0.45(9) + 10 y=\$14.5
 Polynomials-and-rational-expressions/380794: Solve by factoring and using the principle of zero products: 2x^2-11x+15=0 I am not sure if I am doing this correctly. My answer was x=5/2 and x=-3 but I do not feel confident in these....1 solutions Answer 270246 by tutorcecilia(2152)   on 2010-12-04 18:32:55 (Show Source): You can put this solution on YOUR website!2x^2-11x+15=0 factor (2x-5)(x-3)=0 set each factor equal to zero and solve each factor for "x" 2x-5=0 2x=5 x=5/2 and x-3=0 x=3 . be sure to check by plugging each x back into the orignal equation. see what happens when yopu plug either 3 or -3 back into the equation. you are on the right track. good job.
 Graphs/380782: How do i find the slope and Y intecept of the problem y=-3/4x + 4 so i can graph it?1 solutions Answer 270245 by tutorcecilia(2152)   on 2010-12-04 18:24:14 (Show Source): You can put this solution on YOUR website!y=-3/4x + 4 so i can graph it this is in the slope-intercept form for the equation of a line y=mx+b so, the (x,y) values are the points that will vary along the line m=the slope of the line b = the point (0,y) were the line crosses or cuts the y-axis so, the slope is -3/4 and the y-intercept =4 to graph start at the y-intercept or (0,4) from that point use the slope to plot the rise/run, so starting at (0,4) go down 3 and over 4. continue for a few points. now go back to the y-intercept (0,4) and go up 3 and to the left 4. continue for a few points. connect the dots for the image of the line.
 Miscellaneous_Word_Problems/380767: The price p (in dollars) varies directly with the number of admissions to a museum. The museum charges \$12 for 5 student admissions. Write a direct variation equation that relates p and a. Then find the total admission price for 30 students.1 solutions Answer 270241 by tutorcecilia(2152)   on 2010-12-04 18:13:52 (Show Source): You can put this solution on YOUR website!p=ak equation for direct variation. k=the constant p=12 a=5 12=5k solve for the constant k 12/5=k 2.4=k, so, p=2.4a plugging in the value for 30 students p=(2.4)(30) p=\$72
 Equations/380511: 1/5 + 1/61 solutions Answer 270103 by tutorcecilia(2152)   on 2010-12-04 02:13:37 (Show Source): You can put this solution on YOUR website! cross multiply or multiply by the LCM multiply the denominators now, you can add the numerators because the denominators are the same.
 Expressions-with-variables/379425: can you please see if you can simplify this expression (2^3m^4n^-1/p^2)^01 solutions Answer 269371 by tutorcecilia(2152)   on 2010-12-01 21:36:10 (Show Source): You can put this solution on YOUR website!any number raised to 0 = 1 except 0 itself a^0 = 1
 Numeric_Fractions/379407: x-4/7<21 solutions Answer 269369 by tutorcecilia(2152)   on 2010-12-01 21:31:58 (Show Source): You can put this solution on YOUR website!x-4/7<2 x-(4/7)+(4/7) < 2+(4/7) x<14/4 x<7/2
 Functions/379409: h(x)=1/x,find h(- 1/2)1 solutions Answer 269368 by tutorcecilia(2152)   on 2010-12-01 21:27:56 (Show Source): You can put this solution on YOUR website!h(x)=1/x,find h(- 1/2) Plug-in x=-1/2 and solve h(-1/2)=1/(-1/2) =(1)(-2/1)=-2
 Numbers_Word_Problems/379388: one number is eight more than twice another and their sum is 20. what are their number?1 solutions Answer 269362 by tutorcecilia(2152)   on 2010-12-01 21:18:30 (Show Source): You can put this solution on YOUR website!one number is eight more than twice another and their sum is 20. what are their number? one number = x = 2y+8 another number = y so, (2y+8)+ y=20 simplify 3y+8=20 3y=20-8 3y=12 y=4, checking the answer gives x=2(4)+8=16 so, y = 4 and x = 16 4+16=20
 Linear-equations/379354: what is the slope for y=10x-5.51 solutions Answer 269340 by tutorcecilia(2152)   on 2010-12-01 20:33:39 (Show Source): You can put this solution on YOUR website!One way to represent a line using algebra, is with the slope-intercept equation of a line. This means: y=mx+b. y and x is a particular point on the line. m is the slope and, b is where the line crosses the y-axis. . So, in your example the slope = m = 10
 Equations/379331: 5+4a=5a+2 solve eqautions with variables on both sides1 solutions Answer 269332 by tutorcecilia(2152)   on 2010-12-01 20:10:21 (Show Source): You can put this solution on YOUR website!5+4a=5a+2 Isolate the variable to one side of the equation 5-5+4a=5a+2-5 Subtract, add, multiply or divide to isolate the variable 4a=5a-3 4a-5a=5a-5a-3 -a=-3 -1a/-1=-3/-1 a=3 . Check your answer by plugging a =3 back into the original equation . 5+4(3)=5(3)+2 5+12 = 15+2 17=17 Checks out that a = 3
 test/368121: What is the value of the expression { 6(x - y) - 8x when x = -2 and y = 5 } Please Explain How To Solve.1 solutions Answer 262336 by tutorcecilia(2152)   on 2010-11-08 20:03:36 (Show Source): You can put this solution on YOUR website!{ 6(x - y) - 8x when x = -2 and y = 5 } substitute the values for the variables: 6(-2-5)-8(-2) solve using the Order of Operations: 6(-7)+16 -42+16 =-26
 Human-and-algebraic-language/367329: decide whether the pair pf lines are parallel,perpendicular,or neither 5x+3y=7 3x-5y=51 solutions Answer 261832 by tutorcecilia(2152)   on 2010-11-07 16:51:40 (Show Source): You can put this solution on YOUR website!First, I would define the rules: Parallel lines have the same slope; perpendicular lines have "egative reciprocal"slopes. Next, convert each line into the slope-intercpt formate y-mx+b. 5x+3y=7 3y=-5x+7 3y/3=-5/3x+7/3 So the slope is -5/3 . . 3x-5y=5 -5y=-3x+5 -5y/-5=(-3/-5x)-5/5 y=3/5x-1 so, the slope is 3/5 . . Since the slopes are the "negative reciprocals" of each other, they are __________________?
 Graphs/367168: what does the symbol > with a line under it mean?1 solutions Answer 261771 by tutorcecilia(2152)   on 2010-11-07 12:42:14 (Show Source): You can put this solution on YOUR website!It means "greater than OR equal to" some answer. For example, means that x is either greater than 3 OR x equals three; one or the other condition.
 Travel_Word_Problems/367157: How long would it take to get to a place 95 miles away driving at 55 miles per hour?1 solutions Answer 261767 by tutorcecilia(2152)   on 2010-11-07 12:25:32 (Show Source): You can put this solution on YOUR website!Use the information as the "conversion factor" so, 95 miles X (1 hour/ 55 miles) "miles" cancel out leaving "hours" 95/55 hours = 1.727 hours check by multiplying 1.727 hours x 55 miles/hour = ?