On a bicycle, Laura started 4 miles from her house and rides 4 miles per hour away from her house. Write an equation to model this situation (use
d for distance from her house miles and
h for hours)

d = 4 + 4h

Step-by-step explanation:

According to question d is the total distance from Laura's house at time h .

Initial distance from house = 4 miles

speed of Laura = 4 miles per hour

formula for distance = speed * time

distance covered when time is h hours = 4 miles per hour * h hours

                                                                  = 4h miles

Total distance from house is given as d, hence

d = Initial distance from house (4 miles) + distance covered when time is h hours (4h miles)

d = 4 + 4h

Thus, an equation to model this situation is d = 4 + 4h .

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .