how do i write these in equations to represent each situation?
1. the perimeter P of a rectangle is the sum of twice the length L and twice the width W
2. the volume V of a rectangular prism is the product of its three dimensions: length L,width W, and height H
3. The cost C of a telegram of 18 words is the cost F of the first 10 words plus the cost A of each additional word.
how do i write these in equations to represent each situation?
1. the perimeter P of a rectangle is the sum of twice the length L and twice the width W
2. the volume V of a rectangular prism is the product of its three dimensions: length L,width W, and height H
3. The cost C of a telegram of 18 words is the cost F of the first 10 words plus the cost A of each additional word.
P=2(L+W)
Try the rest, and post the answer for a check if you wish.
To express each situation in the form of equations, we need to identify the variables involved and their relationships.
1. The perimeter P of a rectangle can be represented by the equation: P = 2L + 2W. Here, L represents the length of the rectangle, and W represents the width. The equation states that the perimeter is obtained by adding twice the length to twice the width.
2. The volume V of a rectangular prism can be expressed as the product of its three dimensions: V = L * W * H. In this equation, L represents the length, W represents the width, and H represents the height of the rectangular prism. Multiplying the length, width, and height together gives the volume of the prism.
3. The cost C of a telegram with 18 words can be represented by the equation: C = F + (A * (18 - 10)). Here, F represents the cost of the first 10 words, A represents the cost of each additional word, and (18 - 10) calculates the number of extra words beyond the initial 10. The equation states that the total cost of the telegram is the sum of the cost of the first 10 words and the cost of each additional word multiplied by the number of extra words.
These equations provide a way to represent the given situations mathematically and can be used to solve specific problems related to each situation.