Answer:45pi cm2
Step-by-step explanation:
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
X should equal -6/11 if I read the equation right
If we have 2 more blue pens than black pens, our blue pens can be rewritten as blue = 2 + black. Now we can set up an equation. Originally this equation would involve both blue and black, but since we only have 1 equation to set up, we can only have 1 unknown. That's why we base the number of blue pens on the number of black pens and do a substitution. So instead of blue + black = 94, we have (black + 2) + black = 94. That simplifies to 2 black + 2 = 94, and 2 black = 92. Now if we divide by 2, we get that the number of black pens is 46. If we have 2 more blue than black, the number of blue pens we have is 48. 46 + 48 = 94, so there you go!