All categories

2 years ago

The chicken coup at the petting farm is 10 by 14 feet. The farm would like to double the current area

Mathematics

1 answer:

weeeeeb [17]2 years ago

3 0

Answer:

14.85 feet & 18.85 feet

Step-by-step explanation:

This is a rectangle with area 10 * 14 = 140 sq. ft.

We want new rectangle to be DOUBLE this area, so that area would be:

140 * 2 = 280 sq. ft.

We will add same amount, x, to both length and width, to get 280. Lets do this and find x. [note: length * width = area]

Area = length * width

280 = (10+x)*(14+x)

280 = 140 + 10x + 14x + x^2

0 = -140 + 24x + x^2

We can solve this by using middle term factorization:

$x^2+24x-140=0\\x=4.85$

So, we need to add around 4.85 feet to both length and width

New dimensions are 14.85 feet & 18.85 feet

You might be interested in

Is 70 thousand written in standard form or word form ? Explain

Stolb23 [73]

70 thousand is written in short word form, because its written as a combination of numbers and letters. Standard form would be to write the number easily using multiplication with 10. That woul be: 70000=7*10^4. It;s 10^4 because the decimal point has been 4 laces to the left to get the number to be 7. Word form can be obtain by writing the number using letters. Long word form is: seventy thousand. But because sevety is written with number (70), this is short word form of the number,

5 0

2 years ago

I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registrat

Anna007 [38]

Answer:

$1000.00

Step-by-step explanation:

The supervisor is asking for an expense form of a total (?) when you return.

Given the charges given in the word problem, it is only logical to assume the supervisor wants a expense form of how much you spent (total) on the trip. Thus, you add!

4 0

2 years ago

13 over 15 divided by 7 over 10 in simplest form

PilotLPTM [1.2K]

If you would like to write (13/15) / (7/10) in the simplest form, you can calculate this using the following steps:

(13/15) / (7/10) = (13/15) * (10/7) = (13 * 2) / (3 * 7) = 26/21 = 1 5/21

The correct result would be 26/21.

8 0

2 years ago

The table shows the profits (y) in millions of dollars for Buffalo Wild Wings for each year (x) from 2007 through 2013, where x=

user100 [1]

a) See attached diagram.

b) The slope can be obtained by the formula:

$m_i=\dfrac{y_{i+1}-y_i}{x_{i+1}-x_i}.$

Now

$m_1=\dfrac{24.4-19.7}{8-7}=4.7;$
$m_2=\dfrac{30.7-24.4}{9-8}=6.3;$
$m_3=\dfrac{38.4-30.7}{10-9}=7.7;$
$m_4=\dfrac{50.4-38.4}{11-10}=12;$
$m_5=\dfrac{57.3-50.4}{12-11}=6.9;$
$m_6=\dfrac{71.6-57.3}{13-12}=14.3;$

The greatest increases were from 2012 till 2013 years and the least increases were from 2007 till 2008 years.

c) Using graphing calculator, the equation of the line (black line in the diagram) is

$y\approx 0.71x^2-5.58x+23.76.$

d) Since the slopes are different, this line is not straight. From the given data you can predict that the "best fit" is quadratic function.

e) In 2017, find

$y(17)\approx 0.71\cdot 17^2-5.58\cdot 17+23.76\approx 134.09$

6 0

2 years ago

What are the x-intercepts of the function f(x) = –2x2 – 3x + 20?

Hatshy [7]

The root sof this quadratic equation are -4 and 2.5.

The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.

$\frac{-b +/- \sqrt{b^{2}- 4ac}}{2a}$

In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.

$\frac{3 +/- \sqrt{-3^{2}- 4(-2)(20)}}{2(-2)}$