Response:
The direct straight-line distance between Caleb's school and the library amounts to:
Step-by-step explanation:
Picture a triangle where one side measures five blocks and another side measures two blocks; to calculate the most direct straight-line distance from Caleb's school to the library, you can apply the Pythagorean theorem, with the hypotenuse being the straight-line distance:
Solving for the hypotenuse results in:
To figure out the distance in each case, consider the following:
Five blocks = 275 feet * 5 = 1375 feet.
Two blocks = 275 feet * 2 = 550 feet.
Finally, you need to substitute the determined distances into the cleared equation:
- The hypotenuse, or the closest straight-line distance, equals 1480.92 feet.
Thus, we can conclude that the direct distance from Caleb's school to the library is 1480.92 feet.
Response:
Step-by-step breakdown:
Kevin has already gathered five and a half gallons of water for his trip
He understands that he requires a minimum of 20 gallons of water for the journey.
The water is packaged in 32-fluid ounce (quarter-gallon) containers.
1 fluid ounce equals 0.0078125 gallons
32-fluid ounce 
Let x represent the number of 32-fluid ounce (quarter-gallon) containers needed to collect at least 20 gallons of water for the trip.
One container holds 0.25 gallons of water
Therefore, x containers hold 0.25x gallons of water
Thus, Kevin's total gallons of water =
Since it is given that he needs at least 20 gallons of water for the trip.
Hence,
Thus, the algebraic inequality representing this scenario is
The correct choice is c because her earnings total $240.
Mel descends 50-35=15 feet in 5-2=3 seconds. Thus, her descent rate is 15/3=5 ft/sec.
Victor descends 60-50=10 feet in 4-1=3 seconds. Hence, his descent rate is 10/3=3⅓ ft/sec. Mel is faster, traveling at 5 ft/sec.
