Answer:
width: 33 ft
length: 74 ft
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding all of the sides together which includes two lengths and two widths. Since the formula for the length is given (l = 41ft + w) and the perimeter is given, then we can simply use the perimeter formula and substitute the value of length with its formula which would only leave us with one variable in the equation w. Now we must solve for w.
l + l + w + w = 214
(41 + w) + (41 +w) + w + w = 214 ... combine like terms
82 + 4w = 214 ... subtract 82 from both sides
4w = 132 ... divide both sides by 4
w = 33 ft
Finally, we can see that the value of the width is 33 ft . Now we plug this value into the formula for length to calculate its value.
l = 41 + w
l = 41 + 33
l = 74 ft
Answer:
(x, y) = (20, 449)
Step-by-step explanation:
When the equations are in this form, it is easiest to substitute one of the expressions for y into the other equation. That gives ...
21.95x +10 = 22.45x
10 = 0.50x . . . . . subtract 21.95x
20 = x . . . . . . . . .multiply by 2
y = 22.45x = 22.45·20 = 449
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":
Answer:
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks.
Step-by-step explanation:
thats just what it is
