4n = 3m - 1
4n = 3m - 1
Subtract 3m from both sides.
-3m + 4n = -1
Subtract 4n from both sides.
-3m = -4n - 1
Divide both sides by -3.
m = 4/3n + 1/3
m = 4/3n + 1/3
Answer:
unreadable score = 35
Step-by-step explanation:
We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".
There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":
1) The mean score of ALL exams (including the unreadable one) is 80
so the equation to represent this statement is:
mean of ALL exams = 80
By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:

since the mean is the addition of all values divided the total number of exams.
in a similar way we can write what the mean of just the readable exams is:
(notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.
Based on the equation above, we can find what "R" is by multiplying both sides by 9:

Therefore we can now use this value of R in the very first equation we created, and solve for "x":

Seven halves would equal to 3.5 wholes. What you do is divide 7 by 2 to find out how many wholes their are.
Answer:
65 yd
Step-by-step explanation:
The diagonal of a rectangle can be found using
Pythagoras' Theorem a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Given:
⇒ 25² + 60² = c²
⇒ c² = 4225
⇒ c = √4225
⇒ c = 65
Therefore, the length of the diagonal is 65 yd
The range is the difference in between the largest and the smallest number in the set.
On a box and whisker plot, the maximum and the minimum are shown as the dots on the furthest right and left side. On this particular one, they would be the dots on 29 and 17.
All you have to do is
29-17
and you get 12
The range of the data is 12.
Hope this helps!