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sergeinik [125]
2 years ago
12

At a health club, 60% of the members are men and 40% of the members are women. The average age of the men is 32 years. The avera

ge age of the women is 28 years.
What is the average age of all the members of the health club?
Mathematics
1 answer:
Sedbober [7]2 years ago
3 0

Answer:

30.4 percent. Hope this helps!

Step-by-step explanation:

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The owner of a cattle ranch would like to fence in a rectangular area of 3000000 m^2 and then divide it in half with a fence dow
Reika [66]
If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l

now    \bf \begin{cases}
A=l\cdot w\\\\\
A=3000000\\
----------\\
3000000=l\cdot w\\\\
\frac{3000000}{w}=l
\end{cases}\qquad thus
\\\\\\
P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w}
\\\\\\
P=3w+6000000w^{-1}\\\\
-----------------------------\\\\
now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2}
\\\\\\
\textit{so the critical points are at }
\begin{cases}
0=w^2\\\\
0=\frac{3w^2-6000000}{w^2}
\end{cases}

solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum

notice the 0=w^2\implies 0=w   so.  you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0

so.. check the critical points on the other

8 0
3 years ago
For the graph x = -3 find the slope of a line that is parallel to it.
shutvik [7]
The ilne paralell to x=something is x=something else (both are constants)

slope=rise/run

x=-3
it rises infiniley and runs 0 (goes left to right 0)
slope=infinity/0=undefined

the slope is undefined
paralell lines have same slope
so the slope of a paralell line is also undefined
3 0
2 years ago
Read 2 more answers
$<br> Slope:<br> y-intercept<br> Equation:
liraira [26]
Slope is 4/3, y intercept is 2, equation is y=4/3x +2
7 0
2 years ago
Read 2 more answers
Solve for the roots in simplest form by completing the square <br><br> x^2-12x+20=0
Alex17521 [72]

Answer:

x = 10 or x = 2

Step-by-step explanation:

Solve for x:

x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 20 from both sides:

x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

x = 10 or x - 6 = -4

Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

Answer: x = 10 or x = 2

5 0
3 years ago
Which of the following statements is true?
mariarad [96]

Answer:

Sedimentary rocks usually form in visible layers

Step-by-step explanation:

A is wrong because not all igneous rock is formed by pressure

B is wrong because sedimentary rock is usually a surface rock

C is wrong because the rock cycle is sporadic and doesn't always end in igneous rock

D is correct because sedimentary rock is formed from years and years of sediment layering on top of each other

8 0
2 years ago
Read 2 more answers
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