Answer:
36
Step-by-step explanation:
Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a) 
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

And now, solving for x = 9 we have:

b) 
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

c) 
Using the same property we used in a) we have:

And now, solving for z = 16 we have:

Time taken by a regular bus to reach its destination = 3 1/4 hours
= 13/4 hours
Time taken by the express bus to make the same trip = 2 1/2 hours
= 5/2 hours
Time that can be saved by taking the express bus = (13/4) - (5/2) hours
= (13 - 10)/4 hours
= 3/4 hours
So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.
Answer: Her total savings are equal to $11,000.
Step-by-step explanation:
Hi, to answer this question we have to write an equation.
The total savings (x) multiplied by the percentage in bonds (in decimal form) must be equal to $2,200.
Mathematically speaking:
x (20/100) = 2,200
Solving for x:
x = 2,200/ 0.2
x = $11,000
Her total savings are equal to $11,000.
Feel free to ask for more if needed or if you did not understand something.