Jill was training for a triathlon, so she planned a day of exercising. she spent a total of 2 hours riding her bike and running. she biked for 12 miles and ran for 6 miles. her rate for running was 10 mph less than her biking rate. what was her rate when running?

Jill's rate of running = 4.667 miles/hr

Step-by-step explanation:

Let's say that rate of running = x miles/hr

so rate of biking = (x + 10) miles / hr

Time of running = rate of running / distance of running = x/6

Time of biking = rate of biking/distance of biking = (x+10)/12

Total time of cycling and biking = Time of running + Time of biking

Given that total time of cycling and biking = 2 hrs

⇒ 2 = (x/6) + ((x+10)/12)

⇒ 2 = (2x+x + 10)/12

⇒ 2 × 12 = 3x + 10

⇒24 - 10 = 3x

⇒x = 14/3 =4.667 miles/hr

Hence Jill's rate of running = 4.667 miles/hr

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.