A car travels at the rate of 350km in 5 hours.
a) what is the unit speed? (Km/hr)

b) how far would the car travel in 3.5 hours?

a.) 70 km per hour

b.) 245 km

Step-by-step explanation:

a.) Find how far the car can travel per hour by dividing:

The car travels at a rate of 70 km per hour.

b.) Make an equation with h as hours and d as the distance the car can travel:

Insert the hours:

Simplify:

At a rate of 70 km per hour, in 3.5 hours, the car can travel a total of 245 km.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.