Viviana is ordering carpet for 16 square rooms in a hotel. Each room will need 100 square feet of carpet. Write an equation that will determine the length of 1 room? STEP IT OUT:

Length of a room is 10ft

Step-by-step explanation:

Given

Rooms=16

carpet arena=100ft

Required:

Determine the length of each room

Here, we'll assume that the carpet will cover each room completely.

If so:

Carpet arena= length*length

Take square root of both sides

Take positive square root

10ft=length

length=10ft

Hence, the length of a room is 10ft

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true