Answer:
74.30
Step-by-step explanation:
Let s = entry price for a student
Let t = entry price for a teacher
4s +5t = 95
6s+10t = 173
I will use elimination to solve this problem.
Multiply the first equation by -2
-2(4s +5t) = -2*95
Distribute
-8s - 10t = -190
Add this equation to the second equation to eliminate t
-8s - 10t = -190
6s+10t = 173
----------------------
-2s = -17
Divide by -2
-2s/-2 = -17/-2
s = 8.50
Now we need to find t
4s +5t = 95
Substitute s=8.50
4(8.50) +5(t) = 95
34 +5t = 95
Subtract 34 from each side
34-34 +5t = 95-34
5t = 61
Divide by 5
5t/5 = 61/5
t = 12.20
We want to find the cost for 3 students and 4 teachers
3s+4t
3(8.50) + 4(12.20)
25.50 + 48.80
74.30
Answer:
x- intercept = 6 or (6, 0 )
Step-by-step explanation:
to find the x-intercept, that is where the graph crosses the x-axis, let y = 0 in the equation and solve for x
y = 0 : 2x - 0 = 12 ⇒ 2x = 12 ⇒ x = 6 ← x- intercept
In this question the brackets aren't really necessary
so (4x + 11) + 7x is the same as 4x + 11 + 7x
so find an answer that has the same 3 terms, but just rearranged with brackets
