The country recreation department cleared a 3/4 mile long walking trail in washington park. there will be a small sign every 1/12 mile along the trail, including at the beginning and end of the trail. how many signs are needed

We are given " The country recreation department cleared a 3/4 mile long walking trail in Washington Park."

Therefore total distance = 3/4 miles.

"There will be a small sign every 1/12 mile along the trail, including at the beginning and end of the trail. "

Distance of small sign = 1/12 mile.

We need to find the number of signs in 3/4 miles each of 1/12 miles.

In order to find the number of signs, we need to divide total distance by distance of a small sign.

3/4  ÷ 1/12

= 3/4 × 12/1 = 3 × 3

= 9 signs.

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>

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