Given that the relationship is linear.
The equation can be expressed as y = mx + c.
Substituting, when x = 0, we have y = 32.
Thus, 32 = c.......( 1 )
Then, when x = 100, y results in 212.
Which gives us:
212 = 100m + c.......( 2 )
By equating equations 1 and 2, we obtain:
100m = 212 - 32
Solving for x yields 1.8.
The final equation is therefore y = 1.8x + 32.
Hence, this represents the required solution.
Here, 'a' relates to 0.
There are two scenarios for 'r' and 't'.
Scenario 1.
Both are positioned on the same side to the right of 'a'.
In this case, 'r' would equal 5, and 't' would equal 7.
The midpoint between 'r' and 't' is
.
Scenario 2.
If both are found to the left of 'a'.
Then 'r' would equal -5, while 't' would equal -7.
The midpoint is
.
Scenario 3.
If 'r' is right of 'a' and 't' is left of 'a'.
Thus 'r' equals 5 and 't' equals -7.
The midpoint is
.
Scenario 4.
If 'r' is left of 'a' while 't' is right of 'a'.
In this case, 'r' corresponds to -5 and 't' corresponds to 7.
The midpoint is
.
The potential midpoint coordinates for 'rt' are 6, -6, 1, and -1.
B = bees, w = wasps, x = hornets
3x - 9 + w + x = 184
w = x + 28
(3x - 9) + (x + 28) + x = 184...combine similar terms
5x + 19 = 184
5x = 184 - 19
5x = 165
x = 165/5
x = 33 <== points scored by Hornets
The actual question asks, "<span>Jeremy possessed 3/4 of a submarine sandwich and shared 1/3 of that with his friend. How much of the sandwich did his friend obtain?"
Solution:
Calculating 1/3 of 3/4 of a submarine sandwich results in = 1/3 x 3/4 = 3/12 = 1/4
Therefore, Jeremy gave his friend 1/4 of the submarine sandwich. </span>