Answer:
1 3/4 t -7/2
Step-by-step explanation:
t + 3/4t - 7/2
Get a common denominator for the t terms, which is 4
4/4t + 3/4t - 7/2
7/4 t -7/2
This is an improper fraction so change it to a mixed number
1 3/4 t -7/2
ANSWER

EXPLANATION
The given expression is

This is having a negative index. We must first of all change to a positive index.
Recall that,

We apply this law of exponents to get,

We cab rewrite the given expression to obtain;

This will simplify to give us,
Time it took Hector to complete 18 miles is given by 18 / 12 = 1.5 hours.
Let the time when Wanda will catch up to Hector be t, then, the distance covered by Hector at the time they meet is 18 + 12t and the distance covered by Wanda at the time they meet is 16t.
Then, 18 + 12t = 16t
16t - 12t = 18
4t = 18
t = 18 / 4 = 4.5
Therefore, Wanda will catch up with Hector after 4.5 hours.
Answer:
1136/295 cm
Step-by-step explanation:
Corresponding lengths of similar figures are proportional.
If we let the radius of the second cylinder be x,
x/6.4 = 7.1/11.8
x = 6.4(7.1/11.8) = 1136/295 cm
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.