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Vedmedyk [2.9K]
3 years ago
13

Multiplying a number by 2 and then dividing by 3 is the same as multiplying by what a number

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
4 0
Multiplying a number by 2 and then dividing by 3 is the same as multiplying by \frac{2}{3}, or, 0.666...
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Fill out the tables for each scenario and answer the question that follows. Use $7.25 as the minimum wage and remember that empl
hichkok12 [17]

Answer:

  • see below for the table values
  • US labor cost: $115275 per year

Step-by-step explanation:

The labor charge is for (6 days/week). In Mongolia, the charge per laborer is then ...

  (6 days/week)($1.10/day) = $6.60/week

The three laborers working 50 weeks/year will have a labor cost of ...

  (3 laborers)($6.60/week/laborer)(50 weeks/year) = $990/year

__

In the US, the labor charge per person per week is ...

  (14 hr/day)(6 day/week) = 84 hr/week

That's 40 hours of straight pay and 44 hours of overtime pay, or ...

  7.25(40 +1.5(44)) = 7.25(106) = 768.50

For 150 person-weeks per year, the total US labor charge is ...

  ($768.50/person/week)(3 persons)(50 weeks/year) = $115,275/year

__

The materials cost for a year is ...

  ($50/rug)(12 rugs/year) = $600/year

__

The revenue is ...

  ($2000/rug)(12 rugs/year) = $24,000/year

Profit is the difference between revenue and the total of costs:

  profit = $24,000 -($990 +600 +10000) = $12410 . . . made in Mongolia

__

So, the table gets filled as follows:

  (labor, material, fixed cost, revenue, profit)

<u>Mongolian-made</u>

  ($990, $600, $10000, $24000, $12410)

<u>US-made</u>

  ($115275, $600, $10000, $24000, -$101,875)

The US labor cost would be $115,275.

_____

<em>Comment</em>

For the given selling price, the break-even labor cost is about $1.06 per hour (on average). At US labor rates, the break-even selling price is about $10,490 per rug.

7 0
3 years ago
Mara and Jonathan each created a sequence of numbers using a rule. Both sequences start with 0 as the first number. Mara’s rule
Masja [62]

Answer:

Both can be true irrespective of the common difference.

6 0
3 years ago
25/3·20/3 plz help its ez
LUCKY_DIMON [66]

Answer:

55.5555555556

or 55.5 Repenting

or 60 over 75

4 0
2 years ago
Read 2 more answers
HELP I HAVE ONLY 1 MIN TO ANSWER IT HELP(((((((&amp;&amp;&amp;&amp;
LenKa [72]

Answer:

the one you have marker is correct

Step-by-step explanation:

5 0
3 years ago
The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu
amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0
3 years ago
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