Answer:
A
Step-by-step explanation:
<span>Probability of an event =(Number of favorable outcomes)/(Total number of outcomes)
Here, the number of favorable outcomes is the number of times 3 comes up.
The number of times 3 comes up = 67
Total number of outcomes is the number of times the cube is rolled.
Total number of times the cube is rolled = 450
Therefore, Probability of getting a 3 =67/450
Since 67 is a prime number, 67/450 is the final answer in simplest form.</span>
Answer:
The initial Carla's balance was $96
The equation is x-7=89
Step-by-step explanation:
Let
x ----> initial Carla's balance
we know that
The linear equation that represent this problem is equal to
x-7=89
solve for x
Adds 7 both sides
x=89+7
x=$96
To determine the number of days, we need to set up equations relating the given values above. The total distance that Kayla would want to travel is a sum of the total distance she traveled from running and the total distance she traveled from biking. So,
200 miles = (6 miles/day) x + (10 miles/day) y
where x is the number of days she spent running and y is the number of days she spent biking.
If the minimum days she used for biking would be 15 days or y = 15, then
200 miles = (6 miles/day) x + (10 miles/day) (15 days)
Solving for x,
200 = 6x + 150
50 = 6x
x = 8.3333 days
Total number of days = 15 days for biking + 8.3333 days for running = 23.3333 days or about 24 days.