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GREYUIT [131]
3 years ago
9

How do you write 5,392,029,004 in expanded form

Mathematics
1 answer:
Neko [114]3 years ago
6 0
5,000,000,000 + 300,000,000 + 90,000,000 + 2,000,000 + 20,000 + 9,000 + 4
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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
3 years ago
Rita started the day with r apps then she deleted 5 apps and still had twice as many apps as Cora has .write and an equation tha
Elodia [21]

Answer:

r - 5 = 2c

r = 75

Step-by-step explanation:

To write an equation for the problem, we first need do declare the value of the number of apps cora has.

Let c = Cora's apps

r - 5 = 2c

r - 5 is used to indicate that Rita deleted 5 apps.

2c is used to represent the twice the number of apps Cora has.

Now you said that Cora had 35 apps.

Let's plug that into the equation.

r - 5 = 2c

r - 5 = 2(35)

r - 5 = 70

Now we transpose the -5 to the other side to leave r.

r = 70 + 5

r = 75

So if Cora has 35 apps, then Rita will have 75 apps.

3 0
3 years ago
Which equation has a graph that is a parabola with a vertex at (-2, 0)?
klemol [59]

Answer: y = (x+2)^2

Aka: B

Step-by-step explanation:

Did it on edge just now !

5 0
3 years ago
What is this symbol called plz answer urgent​
Svetlanka [38]

AB is congruent to AC that is ur Answer

5 0
3 years ago
How did you know how to draw a rectangle with an area that is greater than 8 squares centimeters.
maria [59]
<span><span>To find the area of a rectangle, multiply the length by the width. The formula is:</span><span>, where  is the area,  is the length,  is the width, and · means multiply.</span><span>A square is a rectangle with 4 equal sides. To find the area of a square, multiply the length of one side by itself. The formula is:</span><span>   or  ,  where A is the area, s is the length of a side, and · means multiply.</span></span>
4 0
2 years ago
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