Answer:
25,000 grams
Step-by-step explanation:
Density can be found using the following formula:

If we rearrange the formula for
, mass, we will multiply both sides of the equation by v.


The mass can be found by multiplying the density by the volume.
Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.

Substitute the values into the formula.


Multiply. When you multiply, the "mL" or milliliters will cancel out.


Jeff's mass is 25,000 grams.
A graphing calculator shows the x-intercepts of the expression on the left to be -1, 4, 7.
The real solutions to the cubic equation are x ∈ {-1, 4, 7}.
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20