Tutor profile: Ishea B.
Solve for x in the equation x/4+16 = 20.
Steps: Note: The goal when solving for x is to get x "alone" on one side of the equal sign (or equation) 1.) Do the inverse opertion for +16 (recall: whatever you do to one side of the equation you have to to the other, so subtract 16 from both sides of the eqaution). x/4 + 16 - 16 = 20 - 16 simply: x/4 = 4 2.) Do the inverse opertion for divide by 4 (multiply each side by 4) x = 16
Subject: Basic Math
John is in a class of 10. For his birthday he wants to buy cupcakes for his whole class. His mom gave him $1 towards the cost of cupcakes, and he already had $2.50 in his piggy bank. John is trying to determine how much more money he needs to save. It cost $0.50 per cupcake and there is 7% sales tax. Answer the following questions. a.) Including tax, how much will it cost to buy 10 cupcakes? b.) Did John's mom give him enough mom to cover sales tax? c.) What percentage of the total cost to buy 10 cupcakes does John already have?
a.) Including tax, how much will it cost to buy 10 cupcakes? recall sales tax = selling price * sales tax rate, the sales tax rate is simply the sales tax in decimal form. Change 7% to decimal by dividing 7 by 100. 7 / 100 = .07 Steps: 1.) Step equation to represent the situation. 10*0.50+sales tax = 10*0.50 + 0.35 = $5.35 //10*0.50 because John wants to by 10 cupcakes that each cost $0.50, which is $5 before taxes, using the sales tax equation (5 * 0.07) we see John has to pay $5.35 total. b.) Did John's mom give him enough mom to cover sales tax? Steps: 1.) Think is the sales tax less than the $1 Johns mother gave him? We calcauated in part a that the sales tax was 0.35, and 0.35 is less than 1, there, yes, John's mother did give him enough to cover sales tax. c.) What percentage of the total cost to buy 10 cupcakes does John already have? Steps: 1.) How much does John have initially? $1 + $2.50 = $3.50 2.) How much does it cost to buy 10 cupcakes? $5.35 3.) Set up a factor (inital amount/goal amount): 3.50/5.35 = .65 4.) Decimal to percentage (decimal value * 100) = .65*100 = 65%
Use the following equation (2x-4y)^2 = 4 for part a through c. a.) Put the above equation into slope intercept form. Then find the y-intercept and x-intercept. b.) What is the distance between the x-intercept and y-intercept? c.) What is the midpoint betwwen the x-intercept and y-intercept?
a.)Topics: Equation of lines, solving equations, finding intercepts. Recall: slope intercept form is y = mx + b, y-intercept is the value of y when x = 0, and x-intercept is the value of x when y = 0. Steps to the solution: 1.) solve the equation for y: 2x-y = 16 -4y = -2x + 16 y = 0.5x-4 2.) find y intercept by setting x = 0, note that y = -4 3.) find x intercept by setting y = 0, note that x = 8 b.) Topics: Cartesian Coordinatie System, distance formula Recall: distance formula is d = sqrt[(x1-x2)^2 + (y1-y2)^2)] Steps to the solution: 1.) write the x and y intercept as an ordered pair. An ordered pair is simiply (x,y). Therefore the ordered pair for the y intercept is (0, -4) because y = -4 when x is 0. For the x -intercept the ordered pair is (8, 0). 2.) Use the distance formula to find the distance between (0,4) and (8,0). Note: X1 = 0, Y1 = 4, X2 = 8, and Y2 = 0. Subsitute these numbers into the equation and solve. Answer sqrt(80). c.) Topics: Cartesian Coordinatie System, midpoint recall: midpoint formula = ( [x1 + x2]/2, [y1 + y2]/2) note: the midpoint formula gives an ordered pair that is the point half way between two points. 1.) Use the midpoint formula to find the distance between (0,4) and (8,0). Note: X1 = 0, Y1 = 4, X2 = 8, and Y2 = 0. Subsitute these numbers into the equation and solve. Answer (4,2)
needs and IShea will reply soon.