Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
Answer: right angle triangle
Step-by-step explanation:
Answer:
15.5 hours
Step-by-step explanation:
cause i know
Since angles A and C are equivalent, then angles B and D must also be equivalent. So if
angle B = angle D then...
7x + 15 = 8x
Now we just solve for x
7x + 15 = 8x
15 = 8x - 7x
15 = x
We Can check to see if it is correct by substituting 15 in for x in the equation..
7x + 15 = 8x
7 (15)+15 = 8 (15)
105 +15 = 120
120 = 120
It checks! angles B and D = 120 degrees
The Shema is an affirmation of Judaism and a declaration of faith in one God.