A worker at a mill is loading 6 lb bags of flower into boxes to deliver to a local warehouse. Each box holds 10 bags of flower. If the warehouse orders 3 tons of flour, how many boxes are needed to furfill the order

100 boxes

Step-by-step explanation:

A bag of flour weighs 6lbs

Each box holds 10 bags of flour.

Therefore, each box weighs (6X10) lbs = 60 lbs

A warehouse orders 3 tons of flour.

First, we convert 3 tons to lbs.

1 U.S tons=2000 lbs

3 tons = 3 X 2000 lbs =6000lbs

Since each box weighs 60lbs,

The Number of Boxes Required = Total Weight ÷ Weight per Box

= 6000 ÷ 60

=100 boxes

The mill will require 100 boxes to fulfill the order.

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: