Michael and Tracy are carpeting their family room that is 15 1/2 feet long and 12 1/4 feet wide. To find the amount of carpet needed, Michael says to multiply 15 1/2 and 12 1/4 and Tracy says to multiply 12 1/4 and 15 1/2. Who is right? How much carpet is needed?

Both of them are right

The amount of carpet needed is 189 7/8 feet

Step-by-step explanation:

Here, we want to get the person with the right calculations step between Michael and Tracy

From what we can see in the question, both exactly have the same calculations

They only differ in the number to put first

So we can say both are right

The amount of carpet needed will be;

12 1/4 * 15 1/2

= 49/4 * 31/2 = 1519/8

= 189 7/8 square feet

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

triangle and cube

step-by-step explanation: