The area of a rectangle is 320 in^2. The ratio of the length to the width is 5:4. Find the length and the width.

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 5/4w, and the area is ...

  A = LW

  320 in² = (5/4w)(w)

  256 in² = w² . . . . . . . . . multiply by 4/5

  16 in = w . . . . . . . . . . . . take the square root

  5/4w = 5/4(16 in) = 20 in . . . . the length

The length of the rectangle is 20 inches; its width is 16 inches.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.