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Kobotan [32]
3 years ago
8

A company is expanding its building area from 20,000 square feet to 25,600 square feet. What is the percentage increase of the a

rea of the building space?
Mathematics
2 answers:
tiny-mole [99]3 years ago
5 0

Answer:

28%

Step-by-step explanation:

To increase a number by a certain percentage it is multiplied by a decimal greater than 1. E.g. if we wanted to find 20% more of 20,000, we would do:

20% increase to a number = 1.2

20,000x1.2= 24,000

Original number x Percentage increase = Final number

Since we don't know the percentage increase, but have both other variables, we can rearrange the above equation to solve for it:

Percentage increase = final number/original number

Percentage increase = 25600/20000

Percentage increase = 1.28

Therefore the area was increased by 28%.

Hope this helped!

RideAnS [48]3 years ago
4 0
The answer might be 28%
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You are giving 24 linear feet of fencing all 3 feet tall you wish to make the largest rectangular enclosure possible to maximize
earnstyle [38]

Answer:

The largest area enclosed is  A = xy = 6 feet \times 6 feet = 36 feet^{2}

Step-by-step explanation:

i) The perimeter of the area is 2\times(x + y) =24  ∴ x + y = 12    ∴ y = 12 - x

ii) The area of rectangle enclosed A  = xy    ⇒ A  = x ( 12 - x) = 12x - x^{2}

iii) differentiating both sides of the equation in ii) we get

\dfrac{dA}{dx} = 12 - 2x = 0    ⇒  x = 6 feet

iv) Differentiating both sides of equation in iii) we get    \frac{d^{2}A}{dx^{2} } =  -2

   Therefore the area enclosed is maximum as the double derivative is negative

v) therefore for largest area enclosed   x  = 6 feet and  y = 12 - 6 = 6 feet

vi) therefore the largest area enclosed is

 A = xy = 6 feet \times 6 feet = 36 feet^{2}

7 0
3 years ago
The mean temperature for the first 7 days in January was 3 °C. The temperature on the 8th day was 5 °C. What is the mean tempera
andre [41]

Answer: 3.25°C

Step-by-step explanation:

From the question, we are given the information that the mean temperature for the first 7 days in January was 3 °C. This means that the total temperature for the first 7 days in January was:

= 3°C × 7

= 21°C

We are also told that the temperature on the 8th day was 5°C. To calculate the the mean temperature for the first 8 days in January, we add the total temperature for the 8 days and then divide by 8.

The total temperature for the 8 days will be: = 21°C + 5°C = 26°C.

The mean temperature for the first 8 days in January will now be:

= 26°C/8

= 3.25°C

7 0
3 years ago
How to multiply to make an equivalent fraction
Inessa [10]
Hi!

okay say you have the fractions 1/4 and 6/24, these two fractions are equivalent because you can multiply the numerator and the denominator by 6 to get 6/24 (1x6 = 6 and 4x6 = 24).

similarly you can reduce 6/24 to 1/4 by dividing the numerator and denominator by 6 (6/6 = 1 and 24/6 = 4).

i hope this helped!

5 0
3 years ago
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storchak [24]

The rink has a dimension of 200 ft* 85 ft = 17000 ft^{2}

depth = 1.5 inch that becomes \frac{1.5}{12} = 0.125 ft

So total volume of the water required = 17000* 0.125 = 2125 ft^3

Now 1 cubic foot of water= 7.480 gallons

Hence total gallons required are 2125 * 7.480 gallons = 15895 gallons.


5 0
3 years ago
Simplify (-8)(-2) + 11​
Zina [86]

9 is the answer good luck

5 0
2 years ago
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