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3 years ago

Help me with number 3 please

Mathematics

2 answers:

storchak [24]3 years ago

7 0

3x+2? I hope this is the right answer...

ratelena [41]3 years ago

6 0

3(n+2) ← algebraic expression

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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

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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3 years ago

X²-6x<br> Whats the answer?

kow [346]

Answer: x(x−6)

Step-by-step explanation:

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Four runners are training for long races. Noah Ran 5.123 miles. Andre ran 6.34 miles. Jada ran 7.1 miles. Diego ran 8 miles.

Korolek [52]

Jada ran 1.977 miles more than Noah

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3 years ago

A one year membership to the gym costs $362. When signing up, members pay $54 for the first month, then the remaining part is ma

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362-54 divided by 12

308 divided by 12

25.67 a month

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3 years ago

In a shoe store window, Sandy sees a sign announcing twenty-five percent off all sandals in stock. She finds a pair she likes th

katovenus [111]

Step 1) Convert $25 to a decimal:

0.25

Step 2) Multiply that by the amount the sandals cost.

$0.25×$45=$11.25

Step 3) Subtract from the amount you last got.

$45-$11.25=

$33.75

And there we have it! Our answer came out to $33.75.
So, with the 25% off, Sandy is now only paying $33.75 instead of $45.

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3 years ago

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