A faucet drips 2/5 gallon of water in 3 1/2 hours. What is the unit rate of water dripped per hour?

Unit rate = 4/35 of a gallon per hour

Work Shown:

3 & 1/2 = 3 + 1/2

3 & 1/2 = 6/2 + 1/2

3 & 1/2 = (6+1)/2

3 & 1/2 = 7/2

The faucet drips 2/5 of a gallon in 7/2 hours

2/5 gallon : 7/2 hours

2*(2/5 gallon) : 2*(7/2 hours) multiply both sides by 2

4/5 gallon : 7 hours

(1/7)*(4/5 gallon) : (1/7)*(7 hours) ... multiply both sides by 1/7

4/35 gallon : 1 hour

The unit rate is 4/35 of a gallon per hour.

"Per hour" means "every 1 hour".

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

not sure but it may be b, as i said i'm not sure.