Answer:
y — x = 5
5y — x = 353
Step-by-step explanation:
Let the fifth score be x
Let the average of all the scores be y.
But the fifth score is 5 points lower than the average ie
y — x = 5 (1)
The average of the scores is the sum of all the scores divided the number of scores. This is written as
y = (85 + 92 + 82 + 94 + x) /5
y = (353 + x) /5
Multiply through by 5
5y = 353 + x
Rearrange the equation
5y — x = 353 (2)
The equation Markus will use to determine the x is given as
y — x = 5
5y — x = 353
Answer:
if I am not mistaken the answer should be
11.25C?
Step-by-step explanation:
I did like terms to add 3c to 3c plus 4c minus .75 which would equal 11.25 c if it were to ask for expression then 12c-.75
Hello
<span>D. 2 imaginary roots (complex conjugates)</span>
Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

Using the section formula expressed as
![[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
In this case,

where

Thus, by substitution, we have
![\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5B%5Cfrac%7B1%282%29%2B2%28-7%29%7D%7B1%2B2%7D%2C%5Cfrac%7B1%284%29%2B2%28-2%29%7D%7B1%2B2%7D%5D%20%5C%5C%20%5CRightarrow%5B%5Cfrac%7B2-14%7D%7B3%7D%2C%5Cfrac%7B4-4%7D%7B3%7D%5D%20%5C%5C%20%3D%5B-4%2C%5Ctext%7B%200%5Crbrack%7D%20%5Cend%7Bgathered%7D)
Hence, the y-coordinate of the point P is
Answer:
87.5 inches long
Step-by-step explanation:
250 x 0.35 = 87.5