<em>2 solutions</em>
<em>X= 16</em>
<em>X=49</em>
Step-by-step explanation:
<em>original equation</em>
<em>x-11√x+28 = 0</em>
<em> Isolate</em>
<em> -11√x = -x-28+0</em>
<em> Tidy up</em>
<em> 11√x = x+28</em>
<em> Raise both sides to the second power</em>
<em> (11√x)2 = (x+28)2</em>
<em>After squaring</em>
<em> 121x = x2+56x+784</em>
<em> Plug in 49 for x </em>
<em> 11√(49) = (49)+28</em>
<em>Simplify</em>
<em> 11√49 = 77</em>
<em> Solution checks !!</em>
<em> Solution is:</em>
x = 49
<em>Plug in 16 for x </em>
<em> 11√(16) = (16)+28</em>
<em>Simplify</em>
<em> 11√16 = 44</em>
<em> Solution checks !!</em>
<em> Solution is:</em>
x = 16
Answer: Time taken by Ximena to paint the fence alone = 24 hours
Time taken by Candice to paint the fence alone = 12 hours
Step-by-step explanation:
Let x= Time taken by Ximena to paint the fence alone .
Time taken by Candice to paint the fence alone = x-12
As per given , we have
![\dfrac{1}{x}+\dfrac{1}{x-12}=\dfrac{1}{8}\\\\\Rightarrow\ \dfrac{x-12+x}{x(x-12)}=\dfrac{1}{8}\\\\\Rightarrow\ 8(2x-12)=x^2-12x\\\\\Rightarrow\ 16x-96=x^2-12x\\\\\Rightarrow\ x^2-12x-16x+96=0\\\\\Rightarrow\ x^2-28x+96=0\\\\\Rightarrow\ x^2-4x-24x+96=0\\\\\Rightarrow\ x(x-4)-24(x-4)=0\\\\\Rightarrow\ (x-4)(x-24)=0\\\\\Rightarrow x=4, 24](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bx%7D%2B%5Cdfrac%7B1%7D%7Bx-12%7D%3D%5Cdfrac%7B1%7D%7B8%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Cdfrac%7Bx-12%2Bx%7D%7Bx%28x-12%29%7D%3D%5Cdfrac%7B1%7D%7B8%7D%5C%5C%5C%5C%5CRightarrow%5C%208%282x-12%29%3Dx%5E2-12x%5C%5C%5C%5C%5CRightarrow%5C%2016x-96%3Dx%5E2-12x%5C%5C%5C%5C%5CRightarrow%5C%20x%5E2-12x-16x%2B96%3D0%5C%5C%5C%5C%5CRightarrow%5C%20x%5E2-28x%2B96%3D0%5C%5C%5C%5C%5CRightarrow%5C%20x%5E2-4x-24x%2B96%3D0%5C%5C%5C%5C%5CRightarrow%5C%20x%28x-4%29-24%28x-4%29%3D0%5C%5C%5C%5C%5CRightarrow%5C%20%28x-4%29%28x-24%29%3D0%5C%5C%5C%5C%5CRightarrow%20x%3D4%2C%2024)
if x= 4
Time taken by Ximena = 4 hours
Time taken by Candice = 4-12 hours =-8 hours which is not possible. (time cannot be negative)
Therefore, x= 24
Such that
Time taken by Ximena to paint the fence alone = 24 hours
Time taken by Candice to paint the fence alone = 24-12=12 hours
Answer:
x is 72 degrees
Step-by-step explanation:
To find the measure of x, you need to know the sum of the interior angles of the pentagon.
Sum = (n - 2) x 180
Sum = (5 - 2) x 180
Sum = 3 x 180
Sum = 540
Now divide this by 5, the number of sides
540/5 = 108 degrees for each angle of the pentagon.
To find the measure of x, look at the opposite angle, which is 108 degrees
180 - 108 = 72
The measure of angle x is 72 degrees.
If this answer is correct, please make me Brainliest!
Answer:
10.55% probability
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.
1 Bach CD, from a set of 4.
1 Beethoven CD, from a set of 6.
1 Brahms CD, from a set of 3.
1 Handel CD, from a set of 2.
So, D=144
4 CDs from a set of 4+6+3+2 = 15.
So, T= 1365
p= D/T= 144/1365 = 0.1055
10.55% probability that she will choose one by each composer
Answer:
Answer is below
Step-by-step explanation:
Add 9 to both sides.
![6b-9+9=-87+9\\6b=-78](https://tex.z-dn.net/?f=6b-9%2B9%3D-87%2B9%5C%5C6b%3D-78)
Divide both sides by 6
![\frac{6b}{6} =\frac{-78}{6} \\b=-13](https://tex.z-dn.net/?f=%5Cfrac%7B6b%7D%7B6%7D%20%3D%5Cfrac%7B-78%7D%7B6%7D%20%5C%5Cb%3D-13)