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inna [77]
3 years ago
12

How do you write 40% as a fraction in simplest form?

Mathematics
2 answers:
Alenkinab [10]3 years ago
6 0

The answer is 2/5 for sure!

kotykmax [81]3 years ago
3 0
Mathematically we want to split it up into 100 parts that are equal. Then count 40 out of it. We will use 300 as in we had 300 mnm's or something. For that you would select 40 or in other words 40 * 3 = 120.
\frac{40}{100} * 300 = 120 \ \textgreater \   \frac{40/20}{100/20} =  \frac{2}{5}
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Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the cr
sattari [20]
\bf \textit{the area of either pen is 2744, thus}\\\\
A=xy\implies 2744=xy\implies \cfrac{2744}{x}=y

\bf \begin{array}{llll}
\textit{perimeter of the garden pen}\\\\
P=2(x+y)\\\\
P=2\left( x+ \cfrac{2744}{x}\right)\\\\
P=2x+\cfrac{5488}{x}\\
----------\\

\textit{cost of it}\\\\
C=15\left( 2x+\cfrac{5488}{x} \right)\\\\
C=30x+\cfrac{82320}{x}
\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
\\\\\\
C(x)=40x+\cfrac{109760}{x}

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

8 0
3 years ago
A brace for a shelf has the shape of a right triangle. its hypotenuse is 14 inches long and the two legs are equal in length. ho
maks197457 [2]
To answer this item, we make use of the equation derive from the Pythagorean theorem for right triangles which states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the two shorter sides. If we let x be the measure of both the shorter sides (we call this as legs), we have,
                         (14 in)² = (x²) + (x²)
Simplifying the equation,
                         196 in² = 2x²
Divide both sides of the equation by 2,
                         98 in² = x²
To get the value of x, we get the square root of both sides of the equation,
                         x = sqrt (98) = 7√2 inches

Hence, the measure of each leg of the right triangle is 7√2 inches or approximately 9.9 inches. 
8 0
3 years ago
Ab(-2 13)(0 3) CD (-5 0)(10 3) parallel lines identify please help
mojhsa [17]

Answer:

they are not parallel

Step-by-step explanation:

they intersect eachother

3 0
3 years ago
Which of the following correctly completes the square for the equation
rjkz [21]

Answer:

A. (x + 2)^2 = 31.

Step-by-step explanation:

x^2 + 4x = 27

x^2 + 4x - 27 = 0

A. (x + 2)^2 = 31

x^2 + 4x + 4 - 31 = 0

x^2 + 4x - 27 = 0

This option corresponds to the given equation, so it is correct.

B. (x + 2)^2 = 43

x^2 + 4x + 4 - 43 = 0

x^2 + 4x - 39 = 0

This does not correspond to the equation.

C. (x + 4)^2 = 31

x^2 + 8x + 16 - 31 = 0

x^2 + 8x - 15 = 0

This does not correspond to the equation.

D. (x+4)^2 = 43

x^2 + 8x + 16 - 43 = 0

x^2 + 8x - 27 = 0

This does not correspond to the equation.

So, your answer is A. (x + 2)^2 = 31.

Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!

7 0
2 years ago
What is the range of the function pictured below?
zhenek [66]

Answer:

0 ≤y ≤ 60

Step-by-step explanation:

The range is  values the y can take

y goes from 0 to 60

10 ≤y ≤ 60

3 0
3 years ago
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