Answer:
It is not possible for Alice to score an average of 75% because what she needs to score in the fifth exam exceeds the maximum possible score.
Step-by-step explanation:
She scored an average 68% in all 4 exams.
This means; (68% + 68% + 68% + 68%)/4
Now, a fifth exam is added and we want to know if her average can now be 75%.
Thus, let the score in the 5th exam be x and we now have;
(68% + 68% + 68% + 68% + x)/5 = 75%
Multiply both sides by 5 to get;
(68% + 68% + 68% + 68% + x) = 375%
272% + x = 375%
x = 375% - 272%
x = 103%
The maximum score is 100% and therefore it is impossible for her to score 103%. Therefore it is not possible for Alice to score an average of 75%
Complementary angles - the sum of two angles equals 90 degrees
Exterior angle theorem- the sum of the remote interior angles of a triangle equals the outside angle
Isosceles triangle- has two equal sides and two equal angles
Supplementary angle- the sum of two angles equals 180 degrees
Triangle sum theorem- the sum of of interior angles equal 180
Vertical angles- congruent angles that are opposite of each other.
Answer:
$23.42
Step-by-step explanation:
- To find the sales tax, you need to 6.5% of $21.99
- To do this you have to times need to turn 6.5% into a decimal, which is 0.065 (i moved decimal point 2 numbers to the left)
- then you do 0.065 × 21.99 which equals 1.42935
- now you have to add 21.99 with 1.42935 = 23.41935
- because of the context of the question, you need the answer needs to be rounded up to the nearest hundredth.
- making the answer $23.42 total
Answer:
each side is 55.125cm
Step-by-step explanation:
you have to divide the area by 2
then do 441/2=220.5
then divide this by 4 because a square has 4 equal sides so 220.5/4=55.125
Answer:
x = 4
Step-by-step explanation:
11x= 6x +20
-6x -6x
(subtract 6x from both sides)
5x = 20
/5x /5x
divide 5x from both sides
x=4
