When you subtract from the sale price from the original price, divide that difference by the original price, then multiply times 100, you get the discount rate.   So first, what is the difference in price? 259.99 - 199.99 = 60.00.   The discount rate = 100% * (60/259...

With Paris at (0,0), Rome is west or negative on the x-axis at (-50, 0). Florence is 45 miles closer (east) to Paris (x = -5), and 75 miles north on the y-axis (y = 75). So, Florence is at point (-5, 75). The distance between the two points (Florence and Paris) = the square root...

You need to figure out the total area of the pizza (a circle) and then divide it by the area of each slice to get the number of slices of pizza. By the way, area should be in square units, so I assume you mean 14.125 in2.   So, Area of a circle = πr2   Diameter = 2 x the...

Melissa, Slope = Δy/Δx or rise/run.  Consider where the balloon was tied to be x = 0. The balloon is 65 ft to the right of where it was tied, so now x = 65 ft. The horizontal change or run = 65 ft. Given that the ground is y = 0, when the balloon is at 20 ft, the vertical change or rise...

(1) Increase in muscle strength (2) Increase in muscle endurance (3) Prevention of muscle atrophy

To find the x intercept, set y = 0. 3(0) = 4x-12 0 = x -12  Add 12 to both sides x = 12   To find the y intercept, set x = 0. 3y = 4(0) -12 3y = -12 Divide both sides by 3. y = -4

-3 (5 – 2y) = (answer)

I assume there is no answer to the right of the = sign. So this is a simplification problem. Get rid of the parentheses by multiplying everything inside the parentheses by -3. Remember that - x - = +: -3 x 5 - (-3)x 2y = -15 + 6 y.

Let's call Chip X and Dale Y. When X gets 1 acorn from Y, it increased to X +1, and Y decreases to Y -1. But at that point they are supposed to be equal: X+1 = Y - 1, thus X = Y - 2 Now if X gives Y an acorn, Y increases to Y + 1. But now the number of Dale's acorns is double...

If the castle has dimensions of 60 ft and 45 ft, then the outer area would have dimensions of 2m +60 and 2m +45, This is because you have the m width of the moat all around the castle, contributing 2m to both width and length. Thus, for #1, area = (2m+60)(2m+45). For #2, substitute...

Divide both sides by 3, since 15 can be divided by 3 to get a whole number: [3(2Y-9)]/3 = 15/3 The 3 cancels on the left side and you get 5 on the right side: 2Y-9 = 5 Now add 9 to both sides to leave Y by itself: 2Y-9+9 = 5+9 2Y = 14 Now divide by sides by 2...

You need two equations. One tells you the total number of tickets (240) sold to both adults and children. If A =adult and C = child, then A + C = 240 is the first equation.   For the second equation, you have the total ticket sales (\$3060) and the cost of the sale for each adult...

The reason that the answer is B is that radon breaks down into radioactive forms of three heavy metals, polonium, lead, and bismuth, and the last sentence states:"The health problems associated with radon arise from the radioactive products of its disintegration, mentioned above." Those...

Use the expression (x1+x2/2, y1+y2/2) to get the x and y coordinates of the midpoint. So add up the x values and divide by 2 to get x at the midpoint, and add up the y values and divide by 2 to get y at the midpoint.

Do stuff in parenthesis first, then exponents, then multiplication or division.

If the zeros = -3, 0, and 2, then x = -3 and x = 0 and x= 2 are input values for x giving real zeros for the polynomial. Degrees: 3 means the largest sum of exponents in any term in the polynomial is 3, like x3. So when x = -3, x+3 is a factor of the polynomial. If you do the same for each...

Assuming constant water density, pressure increases by 1 atm (  about 100.9 kPa ) with each 10 m of depth below the surface. So at 10 m, the pressure is 2 atm (1 atm of air + 1 atm of water) or 201.8 kPa.  At 18 atm, the pressure is 282.3 kPa. Now for Boyle's law, you now have...