Answer:
mean= sum of the terms/ (over) number of terms
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
Answer:
12
Step-by-step explanation:
You divide 96 by 8 and you get 12.
Answer: The correct answer is D
Step-by-step explanation: you have to factor the polynomial
Answer:
A. $27.23
B. $467.77
Step-by-step explanation:
Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5 1/2% of the selling price. A.How much commission will the salesperson earn by selling a couch for $495?
B.How much money will the store get from the sale of the couch?
Salesperson commission = 5 1/2%
Price of couch = $495
A. Amount earned by the salesperson = 5 1/2% of $495
= 5.5% × 495
= 0.055 × 495
= 27.225
Approximately
Amount earned by the salesperson = $27.23
B.How much money will the store get from the sale of the couch?
Amount the store get = Total price - amount earned by salesperson
= $495 - $27.23
= $467.77
