Answer:
53 students on each bus
Step-by-step explanation:
506-29=477 (take out the students that went by car)
477/9 = 53 (distribute 477 students evenly in 9 buses)
Simplifying
8a + 12b = 92
Solving
8a + 12b = 92
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-12b' to each side of the equation.
8a + 12b + -12b = 92 + -12b
Combine like terms: 12b + -12b = 0
8a + 0 = 92 + -12b
8a = 92 + -12b
Divide each side by '8'.
a = 11.5 + -1.5b
Simplifying
a = 11.5 + -1.5b
Linear is of the form ax+by=c
Answer:
h(5) = - 22
Step-by-step explanation:
Given that h is a linear function say, h(x) = ax + b ......... (1)
Now, given that h(1) = 10 and h(3) = - 6
Hence, we can write from equation (1), a(1) + b = 10, ⇒ a + b = 10 .......... (2)
And a(3) + b = - 6, ⇒ 3a + b = - 6 ........ (3)
Now, solving equations (2) and (3) we get (3a - a) = - 6 - 10
⇒ 2a = - 16
⇒ a = - 8
So, from equation (2), we get, b = 10 - a = 18
Therefore, the linear function is
h(x) = - 8x + 18
Hence, h(5) = - 8(5) + 18 = - 22 (Answer)
