<u>ANSWER</u>

<u>EXPLANATION</u>
The given expression is

Recall that:

We use the law of exponents to get

Let us multiply in the exponents to get:

Recall again that:

This implies that:

We expand the power to get:


We multiply out to get:

Answer: The trip was 440 miles
Step-by-step explanation:
A girl scout leader rented a bus for a trip to the museum.
Let x represent the number of miles
traveled over 350 miles.
Let y represent the total cost of travelling x miles
The bus company charged $275 plus $.35 for each mile traveled over 350 miles. This means that for x miles, the cost will be
y = 275 + 0.35x
If the bus trip cost $429, it means that y = 429
To determine the number of miles,we will substitute y = 429 into the equation. It becomes
429 = 275 + 0.35x
0.35x = 429 - 275 = 154
x = 154/0.35 = 440
x = 440 miles
2n-5=7
Twice a number, n, is shown by multiply two and n. Then, you subtract this amount by five.