Answer:
9 + 10 = 19
Step-by-step explanation:
Answer:
a)
We know that:
There is a fixed cost of $7
for each mile, you need to pay $0.65
Then if you take the taxi for "m" miles, the total cost is:
c(m) = $0.65*m + $7
Now we know that Gavin also gives a $3 tip, so we need to add this to the cost:
c(m) = ($0.65*m + $7) + $3 = $0.65*m + $10
c(m) = $0.65*m + $10
Now we know that he paid a total of $62.65
Then:
c(m) = $62.65 = $0.65*m + $10
This is the equation we need to solve in order to find m, the number of miles between Gavin's house and the airport.
b)
$62.65 = $0.65*m + $10
We only need to isolate m, we will get:
$62.65 - $10 = $0.65*m
$52.65/$0.65 = m = 81
This means that there are 81 miles between the airport and Gavin's house.
To find how many cards Dan started with, we can use the given context to determine equations:
His dog ate half of his collection, and now there are 32 cards left. This means that with the addition of the 5 new baseball trading cards, Dan had 64 trading cards. Now that we know he had 64, we can take away the 5 new baseball cards Dan purchased:
64 - 5 = 59
Therefore, Dan initially had 59 cards.
I think it goes like this X=5
