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Nonamiya [84]
3 years ago
5

Division of fractions 12/15 divided by 1/5

Mathematics
2 answers:
Zepler [3.9K]3 years ago
8 0
Their a method call Kcf you keep 12/15 and change the division into multiple and filp 1/5 then you end up with 12/15 x 5/1 and multiple across which is 60/15 = 4 hope this helps
zimovet [89]3 years ago
4 0
12/15÷1/5

when dividing fractions, all you have to do is multiply the first number by the second number's reciprocal
(reciprocal is denominator over numerator)

12/15÷1/5
12/15×5/1

remember when multiplying fractions it's the the two numerators multiplied together over the two denominators multiplied

12/15×5/1
60/15
4

The answer is 4
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What percent is 40% of 120% of x?
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Step-by-step explanation:

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A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t
frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y  

  • since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

\mathbf{L = 3x - 2( \dfrac{1000000}{x})}

\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}

\mathbf{ x^2= \dfrac{2000000}{3} }

\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }

\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}

Now, if we replace the value with equation (1), then y will be:

\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\  \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}

\mathbf{x =500\sqrt{6}}

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

\mathbf{L = 3( \dfrac{1000  \sqrt{6}}{3}) + 2(500 \sqrt{6})}

\mathbf{L =1000  \sqrt{6} + 1000 \sqrt{6}}

\mathbf{L =2000  \sqrt{6} }

\mathbf{L \simeq 4899 \ ft}

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0
1 year ago
Someone help me pleaseee
krok68 [10]

Answer:

  522

Step-by-step explanation:

The assumption is that the proportion of tagged fish caught is the same as the proportion of all fish that were caught and tagged:

  (all fish)/(number tagged) = (sample size)/(number in sample tagged)

  all fish = (number tagged) · (sample size)/(number in sample tagged)

  all fish = 174 · 39/13

  all fish = 522

If all the assumptions are reasonable, the number of fish in the lake is estimated at 522.

5 0
3 years ago
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