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3 years ago

What is the difference between long and short division?

1 answer:

8 0

Short division has more to do with mental math (in your head). but long division usually has to be written out i order to solve! i hope this 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

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

5 0

2 years ago

The larger of two number is 15 more than three times the smaller number if the sum of the two numbers is 63 find The numbers

Aleks [24]

The two numbers are 12 and 51.

<h3>EXPLANATION</h3>

To solve this, I did 63-15, to get 48.

I then divided this by 4, to get the first number, which is 12.

To find the second answer, I multiplied 12 by 3, which is 36, and then added the 15 back on, to get 51.

51 + 12 = 63

3 0

3 years ago

Which of the following ordered pairs could be placed in the table and still have the relation qualify as a linear function? (4 p

Lerok [7]

Answer:

(2, 7)

Step-by-step explanation:

7 0

2 years ago

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Cedric buys a cantaloupe every week. The first time he bought a cantaloupe, it cost $2.40. He notices the price is getting less

Leviafan [203]

Hi all! ❤

I know this answer is late, so for anyone in the future, I am 100% positive about these answers, I just took the quiz. So here they are...

The graph has a y-intercept only.

The point (0, 2.40) is on the graph.

The graph increases from left to right.

Hope this helps someone baiii ❤

6 0

3 years ago

I can’t find the answers so I’m just gonna keep asking somebody help me please

aksik [14]

Answer:

85 degrees

Step-by-step explanation:

A triangle always has 180 degrees.

This said, since we already know the degrees of 2 angles we can easily find the last one by setting up the following equation.

x+40+55=180

Combine the like terms.

x+95=180

Isolate x by subtracting 95 from both sides.

x=85.

Choice C.

3 0

3 years ago

Read 2 more answers