A road crew can pave 2/5 km in 1 1/2 hours. how many km of road can they pave in 10 hours?

8/3 km

Step-by-step explanation:

we can represent the given information on a table:

Kilometers        time (hours)

      2/5           ⇔         1 1/2

and since we want to know how many kilometers (x) will be paved on 10 hours:

Kilometers        time (hours)

      2/5           ⇔         1 1/2

        x             ⇔         10

The relationship these 3 numbers have can be described by using the rule of three, which is to multiply the cross quantities on the table (2/5 by 10) and then divide by the remaining amount (1 1/2):

x = ÷

x = ÷

we use

x = ÷

and we make the division:

x = ÷ =

we simplify the fraction by dividing the numerator and denominator both by 5, and we get the result:

x =

thus, in 10 hours the crew will pave 8/3 km. Which is about 2.66 km.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c