Answer:
264 miles
Step-by-step explanation:
Find the unit rate (mpg):
66 miles
----------------- = 22 mpg
3 gallons
On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles
Answer:
E. 16 min 12 sec
Step-by-step explanation:
Let x represent total time taken to complete the exercise.
We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.
When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.
18 seconds will be equal to 0.3 minutes.
Let us find total time of exercise as:




To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.

Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.
Answer:
Area = 
Step-by-step explanation:
A=a+b
2h=13+13
2·12=156cm²
I hope this helps you :)
Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9
the second answer is correct
M=14.6 (is rounded to the nearest tenth.)