The key to this question is calculating the percentage of students within each category (honor roll or non-honor roll) who received the class requested. We need to calculate the ratio of students who received the class they requested and who did not for both honor roll and non-honor roll students :
Honor Roll :
215 + 80 = 295 total honor roll students
215/295 = 72.88% = percentage of honor roll students who received class requested
80/295 = 27.12% = percentage of honor roll students who did not receive class requested
Non-Honor Roll :
125 + 80 = 205 total non-honor roll students
125/205 = 60.98% = percentage of non-honor roll students who received class requested
80/205 = 39.02% = percentage of non-honor roll students who did not receive class requested
72.88% of honor roll students received the preferred class as opposed to only 60.98% of non-honor roll students. Therefore, there is an advantage.
J, K, and L are collinear
J is between K and L
LK = KJ + LJ
LK = 9x + 7
KJ = 2x - 3
LJ = 4x - 8
9x + 7 = (2x - 3) + (4x - 8)
9x + 7 = (2x + 4x) + (-3 - 8)
9x + 7 = 6x + -11
9x + 7 = 6x - 11
9x + 7 - 7 = 6x - 11 - 7
9x = 6x - 18
9x - 6x = 6x - 6x - 18
3x = -18
x = -6
∴ The value of x is -6
Answer:
B and C
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
solve
3x² - 75 = 0 ( add 75 to both sides )
3x² = 75 ( divide both sides by 3 )
x² = 25 ( take the square root of both sides )
x = ± = ± 5 → B and C
Let x be the number of rows.
We solve the equation: x * ( 2 + 3 ) = 150.
x * 5 = 150.
x = 150 ÷ 5 .
x = 30.
a. There are 2 * 30 = 60 seats on the left side of the plane.
b. There are 3 * 30 = 90 seats on the right side of the plane.