Place the numbers in order from least to greatest.<br> 0.24,4 x 10^-2,0.042, 2 x 10^-4,0.004

Nemecek Brothers make a single product on two separate production lines, A and B. Its labor force is equivalent to 1000 hours pe

frez [133]

Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

250 ≤ x ≤ 600

(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

Step-by-step explanation:

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

Therefore, with both lines working simultaneously, the time it takes to produce 5 items = 4 hours

The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

Therefore, the number of items, x, produced per week with the available labor is given as follows;

250 ≤ x ≤ 1250

Which is revised to 250 ≤ x ≤ 600 as shown in the following answer

(b) The cost of producing a single item on line A = $5

The cost of producing a single item on line B = $4

The total available amount for operating cost = $3,000

Therefore, given that we can have either one item each from lines A and B with a total possible item

When the minimum number of possible items is produced by line B, we have;

Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

Total cost = 250 × 4 + 1000 × 5 = 6,000

Whereby available weekly outlay = $3000, the maximum that can be produced from line A alone is therefore;

$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

250 ≤ x ≤ 600

8 0

2 years ago

i need this im confused on it. i would appreciate it if someone could help me out!! u have to show all ur work.

Kazeer [188]

Answer:

see below

Step-by-step explanation:

$1) -4x + 9x = 5x\\\\2) 6y -8y = -2y\\\\3) -7x+x = -6x\\\\4) 9y-y = 8y\\\\5) -5x-5x = -10x\\\\6) 3y-7y = -4y\\\\7) -x-8x+7 = -9x +7\\\\8) y-2y -3 = -y -3\\\\9) 5+5x-4x = 5 + x\\\\10) 3y-6 +7y-4y = 6y -6\\\\11) -9x-5-8+x = -13 -8x\\\\12) 6-y+5y-6y = 6 -2y\\\\13) 3x-8y+2x-5-5y = 5x -13y -5\\\\14)-9x +3 +2x-9y-8 = -7x -9y -5\\\\15) 5 +6x -3y +x +8y = 7x +5y+5\\\\16) -4x -4 +x -2y +7x = 4x -2y -4\\\\17) -8x +7y-x-6y+4x = -5x +y\\\\18) x+5-2x+3y-y=2y-x+5\\\\19) 9x-3y+7-4x+y-3 = 5x-2y+4\\\\$

$20) -x-3+5x+6y+8x-9\\\\21) 4x-4-8y+8-5x+1 = -x-8y+5\\\\22) 3x-x+6y-4x-y = -2x+5y\\\\23) 2x+2y-x-y-7+5y = x+6y-7\\\\24) 6x-8x-4y -x+5y-2y = -3x-y\\\\$

5 0

2 years ago

How much energy in joules can the solar panel produce each day if solar cells were 100% efficient and generate 1000 watts of pow

notsponge [240]

Answer:

The solar panel produce 6.48 × 10⁶ J of energy each day.

Step-by-step explanation:

If the solar cells were 100% efficient and generate 1000 watts of power per square meter

The power generated per square meter will be

$\frac{100}{100} \times 1000 watts/m^{2}$

= 1000 watts/m²

This is the power that would be generated per square meter if the solar cells were 100% efficient.

Now, for a 1 square meter panel of solar cells with an efficiency of 30%, the power generated will be

$\frac{30}{100} \times 1000 watts/m^{2} \times 1m^{2}$

= 300 watts

This is the power that would be generated by a 1 square meter panel of solar cells with an efficiency of 30%

Now, to determine the energy in joules (J) that the solar panel produce each day

We can determine the energy from the formula

Energy = Power × time

From the question, the solar cells receives the equivalent of 6 hours of direct sunlight per day, that is

Time = (6 × 60 × 60) secs = 21600 secs

Hence,

Energy = 300 watts × 21600 secs

Energy = 6480000 Joules

Energy = 6.48 × 10⁶ J

8 0

2 years ago

Read 2 more answers

Please help i’m very confused

finlep [7]

Answer:

a: 300cm

b: 7m

c 450cm

d: 95 m

Step-by-step explanation:

if the given value is in meters multiply by 100

if the given value is in cm divide by 100

4 0

2 years ago

I need help on this question

MA_775_DIABLO [31]

Answer:

1313.19 in

Step-by-step explanation:

have a nice dayyy :)

7 0

3 years ago

Place the numbers in order from least to greatest. 0.24,4 x 10^-2,0.042, 2 x 10^-4,0.004