Question

1. 7.2 aliens =1 monster. 1 monster= 15.5 oranges. Using the conversion above, about how many oranges are equal to 1 alien?

2. In a scaled drawing, 1 millimeter represents 150 meters. How many square millimeters on the drawing represents 1 square meters?

3. While driving with his father, Amit holds his breath whenever they pass through a particular tunnel. Amit counts the number of seconds he holds his breath, from the beginning of the tunnel to the end of the tunnel, and finds that he holds his breath, on average for about 8 seconds. If his father drives the car at 60 mph through the tunnel, according to the average time, Amit holds his breath, about how long is the tunnel.

4. Lea's car travels on average of 30 miles per gallon of gas. If she spent $20.70 on gas for a 172.5 mile trip, what was the approximate cost of gas in dollars per gallon?

Answer 1

1. If 1 monster = 7.2 aliens and 1 monster = 15.5 oranges. So we can consider it as 7.2 aliens = 15.5 oranges. To find out how many oranges are equal to 1 alien we need to do this:
1 alien = 15.5 oranges/7.2;
1 alien = 2.15 oranges (approximately).

2. We have everything to solve this problem. So in a scaled drawing 1 mm = 150 m. => 1 m = 1/150 mm on the drawing. Then 1 m^2 = (1/150 mm)^2 =>
1 m^2 = 1/22500 mm^2.
So the answer is 1/22500 mm^2.

3. The formula of the length is S=V*t. where V - the speed and t = the time. We already know that V = 60 mph and t = 8 seconds. But the measure of the speed is miles per hour, so we need to convert 8 seconds to hours.
8 seconds = 8/60 minutes = (8/60)/60 hours;
Our solution looks like this:
1) S = 60 mph * (8/60)/60 hours;
2) S = 8/60 miles;
3) S = 0.13 miles;
Answer is 0.13 miles.

4. First let's find out how many gallons of gas she spent during her trip:
172.5/30 = 5.75 gal;
Now we can find price per gallon:
20,70/5.75 = 3.60$ per gallon;
So the approximate cost of gas in dollars per gallon is 3.60$ per gallon.