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posledela
3 years ago
6

2 and 1/3 + 2 and 2/3 = ?

Mathematics
1 answer:
Irina18 [472]3 years ago
3 0

Answer:

5

Step-by-step explanation:

When adding fractions, all you are doing is adding the whole numbers first, 2+2, and then putting that aside. So with 4 on the side, we will then add our fractions. We will line them up and add the numerators and leave the denominator the same. If the numerator is higher than the denominator, we create a whole and subtract the denominator until we are with a smaller numerator. However many times we subtracted this would add a whole number. However, we do not have to do this so we will add 1 and 2 to equal 3. This means we have 3/3 or one whole so we will add 1 to the 4 we had earlier to get 5. Hope this helps :D

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Answer:

176.7146 in square feet

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Step-by-step explanation:

6 0
3 years ago
I don’t know if these are right can someone check them for me pls and I need help on the bottom 2
Ilia_Sergeevich [38]
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3 years ago
The cost of controlling emissions at a firm is given by:
shepuryov [24]

Answer:

The correct answer is 0.5 pounds of pollutant.

Step-by-step explanation:

According to the problem the cost of controlling emissions at a firm is given by:

C(q) = 1,260 + 100 × q^{2} , where q is the reduction in emissions (in pounds of pollution per day) and C is the daily cost to the firm (in dollars) of this reduction.

Government clean-air subsidies amount to $100 per pound of pollutant removed per day.

Net cost = C(q) - Subsidy

⇒ Net Cost = 1,260 + 100 × q^{2} - 100 × q.

In order to minimize net cost we calculate,  \frac{d}{dq}(Net cost) = 0.

⇒ 200 × q - 100 = 0

⇒ q = 0.5

We can see that the second order derivative is positive and thus the net cost minimizes.

Thus the firm should remove 0.5 pounds of pollutant each day in order to minimize net cost.

5 0
3 years ago
Find the median and mean of the data set below: 40,45,7,21,31 40,45,7,21,31
katovenus [111]

Answer:

mean=28.8

median=31

Step-by-step explanation:

mean=sum of all values/number of all values

mean=40+45+7+21+31+40+45+7+21+31/10

  =288/10

mean=28.8

Median

arrrange in order

7,7,21,21,31,31,40,40,45,45  

in case of even ungrouped data median is the average of middle two values

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4 0
3 years ago
Find the area of a regular pentagon with an apothem of 3.1 ft and a side length of 4.5 ft. Round to the nearest whole number
VikaD [51]

Answer:

Area = 35 ft^2

Step-by-step explanation:

The shortcut for finding area of a regular polygon is:

Area = 1/2 a•s•n

where a is the apothem, that was given and s is the side length (also given) and n is 5 because a pentagon has 5 sides.

A = 1/2 (3.1)(4.5)5

A = 34.875

The directions say to round to the nearest whole.

A = 35 ft^2

6 0
2 years ago
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