There are two routes jasmine can take when she bikes home from school- the long way and the short way. the long way is 1.5 times as far as the short way. During one week, she bikes a total of 30 miles from school to home. She took the short way 3 times.
What is the distance of the short way?

Solution:

Let "x" be the distance of short way

Let "y" be the distance of long way

The long way is 1.5 times as far as the short way

y = 1.5x eqn 1

During one week, she bikes a total of 30 miles from school to home

Therefore,

x + y = 30

Therefore,

x + 1.5x = 30

2.5x = 30

Divide both sides by 2.5

x = 12

Given that, she took the short way 3 times

Therefore,

3 times = 12

1 time = 4

Thus distance of short way is 4 miles

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!