You drive 75 miles and use 3 gallons of gas, at the same ratio, how may miles can you drive with 12 gallons of gas?
1 answer:
When you say "at the same ratio", you mean that you consume the same amount of gas for the same amount of miles.
We know that everytime you drive 75 miles, you use 3 gallons of gas.
Since 12 gallons of gas is four times 3 gallons of gas, if the ratio remains the same, you can drive four times the distance:
You drive 75 miles, and use 3 gallons.
You drive 75 more miles (so you are at miles) and use 3 more gallons, so you use
gallons.
You drive 75 more miles (so you are at miles) and use 3 more gallons, so you use
gallons.
You drive 75 more miles (so you are at miles) and use 3 more gallons, so you use
gallons, and you're done.
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Answer: If X = 5, z=<u>-3</u>
If X = 37, z= <u>3.4</u>
Step-by-step explanation:
We know that the formula to find the z-score for any random variable x is given by :-
, where = Population mean
= Population standard deviation.
As per given , we have
Then , the z-score for x =5
i.e. If X = 5, z=<u>-3</u>
When x =37,then
i.e. If X = 37, z= <u>3.4</u>
Answer:
15 games.
Step-by-step explanation:
Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?
Given: Admission fees= $1.25 per person.
Cost of each game played= $0.50.
Total Money, Latoya and Donnetta have is $10.
First lets find total admission fees both will pay.
∴ Total addmission fees=
Total addmission fees=
Now, money remaining after paying admission fees.
Money remaining =
∴ Money remaining =
∴ Money remained to play video games is $7.5.
Next, finding the maximum number of games, both will be able to play.
As we know, each game will cost $0.50.
Total number of games played=
⇒ Total number of games played=
∴ 15 games is the maximum number of games they will be able to play.