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3 years ago

12

What are three equivalent ratios for 18/6, 5/45, and 3/5?

2 answers:

Wittaler [7]3 years ago

7 0

<u><em>Explanation: Ratio table is the tabular representation of equivalent ratios. Ratio is the relation between quantity, degree or rate between one thing and another. </em></u>

<em><u>18/6: 9/8, 27/24, 36/32 ← </u></em>

<em><u>5/45: 1/9, 2/18, 3/27 ←</u></em>

<em><u>3/5: 6/10, 12/20, 24/40 ←</u></em>

<em><u>Hope this helps!</u></em>

<em><u>Thanks!</u></em>

<em><u>Have a great day!</u></em>

mihalych1998 [28]3 years ago

3 0

18/16 : 9/8; 27/24; 36/32

5/45 : 1/9; 2/18; 3/27

3/5 : 6/10; 12/20; 24/40

hope that helps

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

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Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

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$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

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