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umka2103 [35]
3 years ago
6

How many ways are there to select 12 countries in the United Nations to serve on a council if 3 are selected from a block of 45,

4 are selected from a block of 57, and the others are selected from the remaining 69 countries?
Mathematics
1 answer:
sattari [20]3 years ago
8 0

Answer: There are 2346953264 ways to do so.

Step-by-step explanation:

Since we have given that

Total number of selected countries = 12

Number of selected countries from a block of 45 = 3

Number of selected countries from a block of 57 = 4

So, remaining number of selected countries from a block of 69.

So, 12-(3+4)=12-7=5

Now, we need to find the number of ways, so we will use "Combination" to select that number of countries.

So, it becomes.

^{45}C_3\times ^{57}C_4\times ^{57}C_5\\\\=14190\times 395010\times 4187106\\\\=2346953264

Hence, there are 2346953264 ways to do so.

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. If a landfill has a density of 1,200 pounds per cubic yard, what would be the volume required for 15- years worth of MSW to th
bazaltina [42]

Here is the full data for the question.

Each person in the state of Texas generate roughly 7.5 pounds of municipal solid waste each day. Of this amount, roughly 35 percent of the waste is currently recycle in Texas. Studies have shown that the maximum amount of waste that could be realistically recycled or otherwise diverted from the landfill is 50 percent.

(NOTE: for tons, use I ton -2,000 pounds unless otherwise specified)

11. For a community/service area of 200,000 people, calculate the amount:

Total MSW each year, in pounds?<u>              </u> ? Tons?<u>               </u>

<u />

II. Total MSW currently recycled each year, in pounds?<u>              </u> Tons?<u>          </u>

<u />

III Amount of the MSW that could realistically be diverted from the landfill if recycling was maximized to the nearest pound.

12. Using the current recycling rate, calculate the amount of MSW sent to a landfill over 15 years period to the nearest pound.

13. If a landfill has a density of 1,200 pounds per cubic yard, what would be the volume required for 15- years worth of MSW to the nearest cubic yard?

Answer:

Step-by-step explanation:

11)

I) The amount of total MSW generated per day in pounds is = 1,500,000 Pounds

The total MSW generated per day  in tons is = 750 Tons

The amount of the total MSW generated per year in pounds will be:

= 1,500,000 × 365

= 547,500,000 Pounds

The amount of the total MSW generated per year in tons is

= 750 × 365

= 273,750 Tons

II)

The amount of the total MSW currently recycled per day is pounds

= 1,500,000 × (35/100)

= 525,000 Pounds

Total MSW currently recycled per day in tons is

= 750 × 35/100

= 262.5 Tons

The amount of the total MSW currently recycled per year in pounds is

= 525,000 × 365

= 191,625,000 Pounds

The amount of the total MSW currently recycled each year in tons is

= 262.5 × 365

= 95812.5 Tons

III) The required amount of MSW which could realistically be diverted from the landfill suppose that the recycling was maximized (for each person) is

= 7.5 × (50/100)

= 3.75 Pounds

≅ 4 Pounds

The required amount of MSW which could realistically be diverted from the landfill suppose recycling were maximized (for the total population) is:

= 1,500,000 × (50/100)

= 750,000 Pounds

12)

Applying the current rate of recycling, the amount of MSW sent to landfill over a 15 year period (for each person) is:

= 7.5 × (100-35)/100

= 4.875 Pounds each day

= 4.875 × 365 × 15

= 26690.625 Pounds/ 15 years/person

≅ 26,691 Pounds/ 15 years/person

<u>For 1 year period:</u>

By applying the current rate of recycling, the required amount of MSW sent to landfill over (for total population) is:

= 547,500,000 × (100-35)/100)

= 355,875,000 Pounds

<u>For 15 years period:</u>

By applying the current rate of recycling, the amount of MSW sent to landfill  (for total population) is:

= 355875000 × 15

= 5,338,125,000 Pounds

13)

The volume required for the landfill for 15 years worth of MSW is:

= 5,338,125,000/1,200

= 4,448,437.5 Cubic yard

≅ 4,448,438 Cubic yard

3 0
2 years ago
Please help me on this
11111nata11111 [884]

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Step-by-step explanation:

Brennan's equation would be

y=6x+6

Gabriel's Equation would be

y=5x+17

when they spend the same amount the equations will be equal

6x+6=5x+17

x+6= 11

x=11

so 11 boxes they would spend the same

To figure out cost, put 11 into the first equations

y=6(11)+6= 66+6= 72

y=5(11)+17= 55+17 = 72

so they each spent $72

5 0
2 years ago
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Answer:

= -3 (x-y)

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-5x - 4y + 2x + 7y

Collect the like terms by calculating the sum or difference of their coefficients

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(-4+7)y

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Factor out -3 from the expression

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musickatia [10]
Out of 100 flips, the nickel landed on tails 65 times.

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wariber [46]

Answer:

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Step-by-step explanation:

Line y = 2

Because the y- coordinate is the same, only horizontal movement from -1 to -5..

Which is 4 units

6 0
3 years ago
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