Every day, susan exercises in the morning. she travels a total of 4 miles. she starts off with a half-hour walk at a pace of 2 miles per hour. she then finishes while jogging at a pace of 6 miles per hour. write an equation that represents this situation, and use it to find the number of hours susan jogs at the increased speed.

Let's assume

the number of hours Susan jogs at the increased speed is 't' hours

Since, increased speed is 6 miles per hour

after 't' hours , she travles with increased speed is 6*t miles

She starts off with a half-hour walk at a pace of 2 miles per hour

so, she travels distance

=0.5*2 miles

=1 miles

She travels a total of 4 miles

total distance is

=6t+1

now, we can set them equal

now, we can solve for t

Subtract both sides by 1

Divide both sides by 6

we get

so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer

1760 kilometers

step-by-step explanation:

multiply the amount of time the plane took to travel by it's speed

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'.