Answer:
yes
Step-by-step explanation:
distributing gets you 8x+ 12= 2x-2 +6x+14
8x+12=8x+12
when both sides are simplified, they are equal to each other. This means that there IS a value of x that would make the perimeters equal
not sure what the drop down answers are so hope this helps
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! :)
The formula for finding the length is
All we have to do is plug in the numbers.
36 + 64 = 100
Since 100 =
we have to find the square root.
The length of the slide is 10 feet.
Answer:
The answer to your question is 658.2 ft³
Step-by-step explanation:
Data
Volume = x
height = 11.8 ft
radius = 7.3 ft
Formula
Volume of a cone = 1/3πr²h
Process
1.- Calculate the volume
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(7.3)²(11.8)
Volume = 1/3(3.14)(53.29)(11.8)
Volume = 1/3(1974.5)
Rounded to the nearest tenth
Volume = 658.2 ft³
