Answer:
x = -10
Step-by-step explanation:
Step 1: Write equation
7 + 11x + 60 = -13 + 3x
Step 2: Solve for <em>x</em>
- Combine like terms: 11x + 67 = -13 + 3x
- Subtract 3x on both sides: 8x + 67 = -13
- Subtract 67 on both sides: 8x = -80
- Divide both sides by 8: x = -10
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
7 + 11(-10) + 60 = -13 + 3(-10)
67 - 110 = -13 - 30
-43 = -43
Answer:
a. 205320
b. 34220
c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Step-by-step explanation:
a) The number of ways to dustribute exams among the TA's is:
n / (n - r)!
n= number of things to choose from
r= Choosing r number
60P3= 60! / (60 - 3)!
(60)(59)(58)(57)! / (57)!
=205320
B) The number of ways to dustribute the exams among the TA's is:
n! /(n - r)! r!
60C3= 60! /(60 - 3)! 3!
= 60!/ 57! 3!
= 60 × 59 × 58 / 3 × 2 × 1
= 34220
C) The required number of ways is:
60C25 + 60C20 + 60C15
= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
By the divergence theorem,

where

is the boundary of

. We have

so the flux is
Multiply it out. 3*1+3*4t=3+12t
Answer : 4.73333333 Minutes
Explanation: Divide
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