Answer: $300
Step-by-step explanation:
Mr. Calvin earned
He spent on food i.e.
Remaining money =
So, he saved $300 after expenses
All angles in triangle inside add up to 180
so
the angles are y, 79,37
therefor
y+79+37=180
solvde for y
y+79+37=180
add
y+116=180
subtract 116 from ot hsides
y=64
angle y=64 degrees
Part A
The equation is b = 36*a or simply b = 36a
We take the size of the farm 'a' and multiply it by 36 to get the number of bushels of corn 'b'.
-----------------------------------
Part B
The 36 means there are 36 times more bushels of corn compared to the size of the farm in acres
For example, if the size is 2 acres then
b = 36*a
b = 36*2
b = 72
yielding 72 bushels of corn
-----------------------------------
Part C
Along the first row you should have: 25 and 30 in the missing blanks (over 900 and 1080 respectively)
You find this by dividing the value of b over 36
eg: b/36 = 900/36 = 25
-------
Then along the bottom row you should have the following for the blanks: 0, 360, 1800
These values are found by multiplying the 'a' value by 36
eg: if a = 10 then b = 36*a = 36*10 = 360
-----------------------------------
Part D
Plot any two points you want from the table back in part C
So plot say (0,0) and (10,360). Then draw a straight line through those two points.
-----------------------------------
Part E
The point (30,1080) means a = 30 and b = 1080
So if the farm is 30 acres, then it can produce 1080 bushels of corn
Notice how
b = 36*a
b = 36*30 <<-- replace 'a' with 30
b = 180
And how this matches up with the fourth column of the table in part C. So you can use this part to get a hint of how to fill out the table (or at least know what one column looks like)
1 1/3 - 5/6
Find common demoninator which is 6.
Then do 2*1=2.
Now you got 2/6 - 5/6 = -3/6
Simplify:
-3/6=-1/2
Then combined answers.
1 - 1/2 = 1/2
Final answer is 1/2
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
- where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
- Parallel lines will always have the same slope but different y-intercepts.
<u>1) Determine the slope of the parallel line</u>
Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.
Switch the sides
Divide both sides by 2 to isolate y
Now that this equation is in slope-intercept form, we can easily identify that is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope . Plug this into :
<u>2) Determine the y-intercept</u>
Plug in the given point, (4,0)
Subtract both sides by 6
Therefore, -6 is the y-intercept of the line. Plug this into as b:
I hope this helps!