The overall length is given as 22.
The line is split into 2 parts X and 3X.
So we have X + 3X = 22
Add X and #X to get 4X:
4X = 22
Divide both sides by 4 to get X:
X = 22 /4
X = 5.5
Now we know what X is so now replace x with 5.5 and solve for LM:
LM = 3X = 3*5.5 = 16.5
Answer:
Step-by-step explanation:
The coordinates of point P are (-1.4,0.6)
Step-by-step explanation:
We are given A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid.
that means each grid has a value of 0.2.
" A point labeled P is shown at the intersection of 7 grid lines to the left of the y-axis and 3 grid lines above the x-axis "
As P lies on the left of the y-axis and above the x-axis hence the x-value will be negative and y-value will be positive.
According to the given information P lies 7 grid lines to the left of y-axis.
i.e. it has x-value -7×0.2= -1.4
and 3 grid lines above the x-axis i.e. it has y-value:
y-value= 3×0.2=0.6
Hence, the coordinates of Point P are (-1.4,0.6).
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Complete question :
Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?
Answer:
61
Step-by-step explanation:
Given the following :
Total number of students = 4 + 1 missing = 5
Score on the four avaliable papers = 60, 62, 56, 57
Average score of the 5 papers = 59.2
Score on missing paper :
Sum of each score / number of papers
Sum of each score = sum of available scores + missing score
Let missing score = m
(60 + 62 + 56 + 57 + m) = 235 + m
Recall:
Average = total sum / number of observations
Hence,
59.2 = (235 + m) / 5
59.2 × 5 = 235 + m
296 = 235 + m
m = 296 - 235
m = 61
Missing score = 61
