Janice is studying the effect of pipe size on water flow rates. In 12 minutes, 463.2 gallons of water flowed from a 2-inch pipe. In
7 minutes, 1730.4 gallons of water flowed from a 4-inch pipe.
Based on Janice's data, what is the difference in flow rate
between a 2-inch and 4-inch pipe?

208.6 gal/min

Step-by-step explanation:

For 2" pipe,

Given Volume = 463.2 gal, time = 12 min

flow rate for 2" pipe

= Volume ÷ time

= 463.2÷12

= 38.6 gal/min

For 4" pipe,

Given Volume = 1730.4 gal, time = 7 min

flow rate for 4" pipe

= Volume ÷ time

= 1730.4÷7

= 247.2 gal/min

Difference in flow rate = 247.2 - 38.6 = 208.6 gal/min

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

468

step-by-step explanation: