Answer:
See below (I hope this helps!)
Step-by-step explanation:
When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:
It took a race car driver 3 hours and 15 minutes to go 500 miles. What was his mean rate of speed, to the nearest tenth of a mil
2 answers:
Answer:
The mean rate of the racer is 153.8 mph.
Step-by-step explanation:
It took a race car driver 3 hours and 15 minutes to go 500 miles.
Now converting 3 hours and 15 minutes to hours.
15 minutes = hours
Now, we have that it took a race car driver 3.25 hours to go 500 miles.
So, the average speed will be = =153.8 mph
Hence, the mean rate of the racer is 153.8 mph.
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After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.
Step-by-step explanation:
You can find the amount of students each vehicle can carry by representing the two scenarios in equations.
You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.
High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.
High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.
Now, represent these in equations:
We can use substitution to solve this system:
can be rewritten as
after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":
After solving for b, you can then substitute the new value of b into the other equation to find the value of v:
After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.