Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers? Negative 140 divided by negative 7 = 20 Negative 140 divided by 6 = 23.3 with bar Negative 135 divided by negative 7 = 22.5 Negative 135 divided by negative 5 = 27

Negative 135 divided by negative 7 = 22.5

Step-by-step explanation:

Estimating the quotient of :

–137.56 divided by –6.12

The compatible number which gives the best estimate ;

Negative 140 divided by negative 7 = 20

-140 ÷ - 7 = 20

Negative 140 divided by 6 = 23.3 with bar

-140 ÷ 6 = - 23.3

Negative 135 divided by negative 7 = 22.5

-135 ÷ - 7 = 22.5

Negative 135 divided by negative 5 = 27

-135 ÷ - 5 = 27

Comparing the result with the actual quotient obtained using the actual value;

–137.56 ÷ ( –6.12) = 22.477

Hence,

Negative 135 divided by negative 7 = 22.5

-135 ÷ - 7 = 22.5 gives the closest estimate.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is