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nlexa [21]
3 years ago
11

The ratio of apples to orgens is 1 to 3

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0
Because the ratio is 1 to 3. It means that For every one apple there are 3 oranges. So If there are 2 apples, there would n 6 oranges. If there are twelve apples, there would be 36 oranges. To find the number of oranges for the amount of apples, just multiply the number of apples by 3.
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Let divf = 6(5 − x) and 0 ≤ a, b, c ≤ 12. (a) find the flux of f out of the rectangular solid 0 ≤ x ≤ a, 0 ≤ y ≤ b, and 0 ≤ z ≤
dusya [7]
Continuing from the setup in the question linked above (and using the same symbols/variables), we have

\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal R}(\nabla\cdot f)\,\mathrm dV
=\displaystyle6\int_{z=0}^{z=c}\int_{y=0}^{y=b}\int_{x=0}^{x=a}(5-x)\,\mathrm dx\,\mathrm dy\,\mathrm dz
=\displaystyle6bc\int_0^a(5-x)\,\mathrm dx
=6bc\left(5a-\dfrac{a^2}2\right)=3abc(10-a)

The next part of the question asks to maximize this result - our target function which we'll call g(a,b,c)=3abc(10-a) - subject to 0\le a,b,c\le12.

We can see that g is quadratic in a, so let's complete the square.

g(a,b,c)=-3bc(a^2-10a+25-25)=3bc(25-(a-5)^2)

Since b,c are non-negative, it stands to reason that the total product will be maximized if a-5 vanishes because 25-(a-5)^2 is a parabola with its vertex (a maximum) at (5, 25). Setting a=5, it's clear that the maximum of g will then be attained when b,c are largest, so the largest flux will be attained at (a,b,c)=(5,12,12), which gives a flux of 10,800.
7 0
2 years ago
PLEASE HELP, I'VE ASKED THIS QUESTION THREE TIMES AND NO ONE WILL ANSWER SO PLEASE HELP!!!!!!!!!!!!!!!!!!!
Yuliya22 [10]

Answer:I would add 3x on both sides because it would allow you to have a positive variable saving you time and effort.

Step-by-step explanation:7=7x-9

5 0
3 years ago
Read 2 more answers
Jessica has 84.5 of fabric to make curtain
qaws [65]

Answer:

10.8\ yd

Step-by-step explanation:

<u><em>The complete question is</em></u>

Jessica has 84.5 yards of fabric to make curtains. She makes 6 identical curtains and has 19.7 of fabric remaining. How many yards of fabric does Jessica use per curtain?

Let

x-------> amount of yards of fabric that Jessica used per curtain

we know that

The length of 6 identical curtains plus the length of the fabric remaining, must be equal to the total yards of fabric'

so

The linear equation that represent this situation is

Solve for x

6x=84.5-19.7\\6x=64.8\\x=10.8\ yd

3 0
2 years ago
6464 is 444 times the difference between Sarah's age, aaa, and 444444. Assume Sarah is older than 44
xxMikexx [17]

Answer:

60 years

Step-by-step explanation:

Given that :

Sarah's age = a

Assume Sarah is older than 44 ; then a > 44

64 = 4 times difference between a and 44

Expressing the problem mathematically ;

64 = 4 * (a - 44)

64 = 4a - 176

64 + 176 = 4a

240 = 4a

a = 240 / 4

a = 60

Hence, Sarah is aged 60

5 0
3 years ago
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Which equation represents
adelina 88 [10]

6{x}^{2} + 5x = 4
6 {x}^{2}  + 5x - 4 = 0
7 0
3 years ago
Read 2 more answers
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