Cilia cycles 4.2 km every morning. how many feet are in 4.2 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet ?
a. 13,782.47 feet
b. 22,176.00 feet
c. 35,681.18 feet
d. 44,352,00 feet

There are 13,782.47 feet in 4.2 kilometers ⇒ answer A

Step-by-step explanation:

- Cilia cycles 4.2 km every morning

- We need to convert the kilometers to feet

- 1 mile = 1.609 kilometers

- 1 mile = 5,280 feet

* Lets do that

∵ 1 mile = 1.609 km

∵ 1 mile = 5,280 feet

- Equate them

∴ 1.609 km = 5, 280 miles

* Now we can use the cross multiplication to find how many feet in

 4.2 kilometers

→    km       :    feet

→   1.609    :    5,280

→   4.2        :    x

- By using cross multiplication

∴ 1.609 x = 4.2 × 5,280

- Multiply 4.2 by 5,280

∴ 1.609 x = 22176

- Divide both sides by 1.609

∴ x = 13782.47

∵ x represents the number of feet in 4.2 kilometers

∴ There are 13,782.47 feet in 4.2 kilometers

step-by-step explanation:

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