Tim's Paint = $250 + ($14 per hour)*(hours) Colorful Paint = ($22 per hour)*(hours) To be a better deal, we want the cost of Tim's Paint to be less than the cost of Colorful Paint: Tim's Paint < Colorful Paint $250 + ($14 per...
Tim's Paint = $250 + ($14 per hour)*(hours) Colorful Paint = ($22 per hour)*(hours) To be a better deal, we want the cost of Tim's Paint to be less than the cost of Colorful Paint: Tim's Paint < Colorful Paint $250 + ($14 per...
Let F = The number of $5 bills and T = the number of $10 bills. She has 15 bills total, so: F+T = 15 T = 15-F She has $120 total: $120 = ($5)*F...
Area of Garden = (37.1 ft)*(15 ft) = 556.5 ft2 Each shrub needs 15.9 ft2 (556.5 ft2)/(15.9 ft2 per shrub) = 35 shrubs
The easiest way to do this is to note that √64 = 8, so the sides of the new square have to be 8 inches long. The original square had sides that were 3 inches shorter = 8 - 3 = 5 inches. To solve it algebraically, let x = the length of the sides of the original square. The new...
2x - 14 + 3x = 28 Add like terms (2x + 3x): 3x - 14 = 28 Now we use the "addition property of equality" by adding 14 to both sides of the equation. The addition property of equality says that if a-c = c. then a-b+b = c+b,...
Interest = Principle*Rate*Time Where: Principle = the amount of money borrowed = $1600 Rate = the annual interest rate expressed as a decimal = 14% = 0.14 Time = years = 3 months = 0.25 years Interest = ($1600)*(0.14)*(0.25) Can you finish...
You didn't state what the problem is you're trying to solve, so I'm guessing you're trying to figure out what your out-of-pocket expenses were for the trip. Gas Costs = (1780 miles/15 mpg)*(2)*($4.35 per gallon) Hotel Costs = ($95 per night)*(2 nights)*(1.12) ...
Let L = the length of the rectangle and W = its width. L = 2W - 3 The length of a rectangle is 3 feet less than twice its width 24 ≤ 2W + 2L ≤ 48 ...
Let x = the smallest of the three integers. The others are x+1 and x+2. x2 + (x+1)2 + (x+2)2 = 245 x2 + x2 + 2x + 1 + x2 + 4x + 4 = 245 3x2 + 6x + 5 = 245 3x2 + 6x -240 = 0 x2 + 2x - 80...
A = P*(1 - r)t Where: A = the depreciated value of the house P = the initial value of the house = $250,000 r = the annual rate of depreciation expressed as a decimal = 2.5% = 0.025 t = years = 5 A = ($250,000)*(1 - 0.025)5 A = ($250,000)*(0...
All you need to graph a line is two points on the line. Once you have two points, use a straight edge to draw the line passing through the two points. To get two points, simply pick a value for x, then plug that value into your linear equation to compute the y value. I'll do...
Interest = Principle * Rate * Time Suppose you invest x dollars out of your $33,000 in the 4.5% fund. The interest you would earn is: Interest @ 4.5% = x * (0.045) * (1 year) = (0.045)x The amount you have left to invest in the 3% fund is $33,000-x...
4x -5y = 4 2x + y = -12 Let's use elimination of the y-variable. Multiply 2x + y = -12 by 5: 5*[2x + y = -12] 10x + 5y = -60 Now add this new equation to the first equation: 4x - 5y = 4 10x...
One gigameter = 109 meters and 1 meter = 102 cm, so 1 gigameter = 109*102 = 1011 cm 0.0023 gigameters = (2.3 * 10-3 gigameters) * 1011 cm/gm = 2.3*108 cm
Car's Worth = (Initial Worth) - ($2000 per year)*(Years since Purchase) $18,000 = ($32,000) - ($2000)*(Years since Purchase) -$14,000 = -($2000)*(Years since Purchase) Can you finish it from here?
Since the car was not replaced, 80% of the value of the car must be more than $11,600: (Value of Car)*(80%) ≥ $11,600 We use the "greater than or equal to" (≥) because repair costs must exceed 80% for the car to be replaced. Hence if the repair...
Emoni, all you have to do is plug the x,y values from each point into the inequality and see if it's true. I'll do the first one for you: y < (x-1)2 - 3 Let's try choice A.) (1,0). Remember this is an ordered pair so it's (x=1,y=0). Let's plug 0...
Let x = the unknown number. The product of three (3*) and the sum of a number and 2 (x+2) is twelve: 3*(x+2) = 12 3*x + 3*2 = 12 3x + 6 = 12 Subtract 6 from both sides: 3x = 6 Solve for...
Let's re-write the equation in more standard form: C(x) = (0.02)x2 - 30x + 14,000 This is a quadratic equation so its graph is a parabola, Since the coefficient of the x2 term (0.02) is positive, the vertex of the parabola is at the bottom and the parabola...
Let x = one of the numbers and y = the other: y = 5x [One number is 5 times another number] y - x = 636 [The difference between the two numbers is...