2. Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue, 5/9 of the remaining votes were for green, and the remaining 48 votes were for red. a. How many votes were for blue?

b. How many votes were for green?

a. 180 votes were for blue

b. 60 votes were for green

Step-by-step explanation:

Fractions

It's known 5/8 of the votes of a school-wide election were for painting the school blue. Suppose there were x voters in school.

Since 5/8 were for blue, then

Were for the rest of the colors. It's also known 5/9 of the remaining votes were for green, thus

of the remaining votes were for red.

The votes for red are:

of the total voters.

We know these were 48 votes, thus

There were 288 voters in school.

a. 5/8 were for blue, that is:

180 votes were for blue

b. 288-180 = 108 votes were for others than blue, and 5/9 of them were for green:

60 votes were for green and 108-60=48 votes were for red (as expected)

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

"a" determine whether sage found the correct quotient. show your work

step-by-step explanation: