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
The diagonal length of the suitcase is 16.12 inches.
Step-by-step explanation:
Step 1:
Length of the suitcase = 14 inches
Width of the suitcase = 8 inches
We need to compute the diagonal length of the suitcase.
Step 2 :
The diagonal length of the suitcase is the diagonal of the rectangle with the above given dimensions
The diagonal and the 2 sides form a right angled triangle and hence the diagonal can be computed using the Pythagoras theorem
So the diagonal² = 14² + 8² = 196 + 64 = 260
the diagonal = √260 = 16.12 inches
Step 3 :
Answer :
The diagonal length of the suitcase is 16.12 inches.
5.3333333 repeating for one hour and multiply that by 5 and get........... 26.5 I think It's to dark for me to right anything I'm going off the top of my head
Answer:
train A is 403
and train B is 72
because if the total weight is 479 and train A is heavier than train B with a difference of 403 to get their weights each, you'll say 479( total amount of weight) - 403( the difference) which or = 72...
where you have A as 403 and B as 72
Answer:
3.666667
Step-by-step explanation:
You can do long division, or you can use a calculator.