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Dominik [7]
3 years ago
14

How to use the distributive law to factor 2a + 2b?

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
7 0
There is a common entity between the two terms of the given expression and that is the number 2 before each variable. We can factor out the 2 from the given expression and it becomes,
                      2 x (a + b)
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Consider a two-station production line in which no inventory is allowed between stations (i.e., the stations are tightly coupled
Alona [7]

Answer:

a) Capacities : station 1 = 3.5 , station 2 = 3.5

  Both stations have the same capacity

b) 3.5 ( it does not differ from a )

c) The value will double i.e. 3.5 * 2 = 7

Step-by-step explanation:

<u>a) compute the capacity of each station and show if the line is balanced </u>

for station 1

Units :            1 ,2 ,3, 4 ,5, 6

probabilities :   1/6 ( same value for all units )

for station 2

units :             3, 4

probabilities :  1/2   1/2

Capacity of station 1= ( 1/6 * 1 ) + ( 1/6 *2 ) + ( 1/6 *3) + (1/6 *4) + (1/6*5) + (1/6*6 )

                                =  3.5  

Capacity of station 2 = ( 1/2 * 3 ) + ( 1/2 * 4 )

                                  = 3.5

∴ both stations have the same capacity

B) Expected throughput of the line

= Min( capacity of station 1 , capacity of station 2 )

= 3.5  ( It does not differ from a )

C) When an additional identical machine is added to both stations the expected throughput of the line will be doubled

i.e. expected throughput = ( 3.5 ) * 2 = 7

6 0
3 years ago
What type of function is represented by the table of values below?
GrogVix [38]

Answer:

C. Linear

Step-by-step explanation:

The function is going up by a constant rate of 4.

3 0
2 years ago
Read 2 more answers
How many halves are in three wholes
vlabodo [156]

Answer:

6

Step-by-step explanation:

1/2 + 1/2 = 1

1/2 + 1/2 = 1

1/2 + 1/2 = 1

There are 6 halves that equal 3.

Another way to do this is:

1/2x = 3

3 / 1/2 = 6

x = 6

5 0
3 years ago
Please help! thank you! :)
Anarel [89]

Answer:

(1,1)? Sorry im not completely sure

4 0
3 years ago
The measures of the angles of △ABC are given by the expressions in the table.
vovangra [49]
The sum of angles of a triangle is 180°.

48 +(6x -28) +2x = 180
8x +20 = 180
8x = 160
x = 20

∠B = (6x -28)° = (6*20 -28)° = 92°

∠C = 2x° = 40°

___
x = 20
∠B = 92°
∠C = 40°
5 0
3 years ago
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