Answer:
She must make a score of 42 in the final exam to obtain an average of 80.
Step-by-step explanation:
Hi there!
Let x be the score of the final exam, the equation will be as follows (remember that the score of the final counts double):
(82 + 79 + 75 + 2x)/4 = 80
Let´s solve the equation for x multiplying each side of the equation be 4:
82 + 79 +75 + 2x = 320
Substract 82, 79 and 75 to both sides of the equation:
2x = 320 - 82 - 79 -75
2x = 84
x = 84/2
x = 42
She must make a score of 42 in the final exam to obtain an average of 80.
Have a nice day!
Answer:
= -5/4
Step-by-step explanation:
The slope through two points can be found by
m = (y2-y1)/(x2-x1)
= (-4-1)/(3--1)
= (-4-1)/(3+1)
= -5/4
Answer:
s = 41 cm
Step-by-step explanation:
Since all the sides on a square are equal, we can use this formula for perimeter: P = 4s
Plugging in 164 gives us 164 = 4s, where solving for s gives us s = 41
Answer:
Option A) They are parallel because their slopes are equal.
Step-by-step explanation:
We are given the following in the question:
Line AB:
(-4, -2), (4,4)
Line CD:
(0,-3), (4,0)
Formula to calculate slope =
Slope of AB =
Slope of CD =
Thus,
Thus, the two lines are parallel.
Option A) They are parallel because their slopes are equal.
It is given in the question that
A farmer owns about 960 acres of land. If his farm is square.
First we convert acres to miles square, and the conversion expression is
Therefore,
Let the side length of the square be x miles .
And the formula of area of square is
