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3 years ago

Out of a box 200 apples 10 of them has gotten bad

Mathematics

2 answers:

Olenka [21]3 years ago

7 0

Answer: 1/20 and 19/20

Step-by-step explanation:

mafiozo [28]3 years ago

7 0

10/200 is equivalent to 5/100 which can be simplified to 1/20, meaning 1/20 of the apples have gone bad.

190 apples are still okay. in this equation 200 is 100% . if you find 10% of 200 it would be 20. now you have to find 5% which is half of 20 so 10. meaning now you have to find how many 20’s and 10’s go into 190. the answer is 9 20’s and 1 10. So now you add 9 10%’s together to get 90% and add 10 which is 5%, meaning the total of apples that were still good to eat would be 95%.

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Step-by-step explanation:

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2 years ago

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

Setler [38]

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 $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

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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