Connie and ron walked to a dock at 2 miles per hour, jumped in a boat and motired to dillons at 7 miles per hour. if the total distance was 14 miles and the trip took 3.25 hours in all, how far did they travel by boat?

  10.5 miles

Step-by-step explanation:

Let b represent the distance traveled by boat. The relation between speed, distance, and time is ...

  time = distance / speed

We are told the total time and the total distance so we have ...

  b/7 + (14-b)/2 = 3.25

  2b +7·14 -7·b = 14·3.25 . . . multiply by 14

  3.75·14 = 5b . . . . . . . . . . . .add 5b-14·3.25

  b = 10.5 . . . . . . . . . . . . . . . divide by 5

They traveled 10.5 miles by boat.

Check

10.5/7 +3.5/2 = 1.5 +1.75 = 3.25 . . . . the answer checks OK

They spent 1.75 hours walking 3.5 miles to the dock and 1.5 hours traveling 10.5 miles by boat.

inequality:

620-37.4p ≥ 450

the minimum amount of packages needed to be removed from the elevator is 5.

step-by-step explanation:

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