A)
Let x represent the cost of 1 student, and y the cost of 1 teacher.
B)
In the first group, there's 25 students and 2 teachers. Their total cost is $97.50
So 25x + 2y = 97.50
In the second group, there's 32 students and 3 teachers. Their total cost is $127
So 32x + 3y = 127
We get the following system of equations:
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
C)
25x + 2y = 97.50 (1)
32x + 3y = 127 (2)
In equation (1)
25x + 2y = 97.50
25x + 2y - 2y = 97.50 - 2y
25x = 97.50 - 2y
25x / 25 = 97.50/25 - 2y/25
x = 3.9 - (2/25)y
In equation (2), let's replace x by its algebraic value
32x + 3y = 127
32(-2/25y + 3.9) + 3y = 127
11/25y + 124.8 = 127
11/25y + 124.8 - 124.8 = 127 - 124.8
11/25y = 2.2
(11/25y) / (11/25) = 2.2 / (11/25)
y = 5
x = -2/25y + 3.9
x = -2/25 * 5 + 3.9
x = 3.5
So the cost of each student is $3.5, and the cost of each teacher is $5.
Hope this helps! :)
Answer:
The answer is A) -9.272
Step-by-step explanation:
-5.872 + (-5.1)/1.5
= -5.872 - 3.4
= -9.272
Answer:
535
Step-by-step explanation:
8 x 7 = 56
15 x 17 = 255 . 255 / 2 = 127.5
15 x 17 = 255 . 255 / 2 = 127.5
15 x 7 = 105
17 x 7 = 119
119 + 105 + 127.5 + 127.5 + 56 = 535
Answer:
y = -12
Step-by-step explanation:
You first calculate the x coordinate using the equation x = 
, which in this case is 
.
Then plug that x value into the equation to get the y coordinate:
4(-1)²+8(-1)-8 = -12
