I think the first one is B and the second one is A
Answer:
20
Step-by-step explanation:
60+x+100=180 is the equation we are asked to solve.
Using commutative property of addition you can rewrite as:
x+60+100=180
Using associative property of addition you can rewrite as:
x+(60+100)=180
Combine like terms/simplify:
x+(160)=180
x+160=180
Use subtraction property of equality to rewrite as:
x+160-160=180-160
Simplify both sides:
x+0=20
Apply the additive identity property:
x=20
So x=20.
Check.
60+x+100=180 with x=20:
60+20+100=180
80+100=180
180=180
The last line I have here is true so x=20 has been verified as the solution.
One way is to make it into slope intercept form which is
y=mx+b
m=slope
b=y intercept or where the line will go though the y axis
treat the equal to or greater than sign as equals for now
5x-y=5
subtract y from both sides
5x=5+y
subtract 5
5x-5=y
put the sign back in
5x-5 ≥ y
reverse
y ≤ 5x-5
one way is to subsitute values and get values out so
if x=1 then
y≤5(1)-5
y≤0
(x,y)
(1,0)
(2,5)
(3,10)
(4,15)
(0,-5)
plot the points
then the ≤ sign
since ther is an underline, that means that the points are included so draw a solid line through the points
then figure out which side to shade on
the easy way is, is the point (0,0) a solution?
subsitute
0 ≤ 5(0)-5
0 ≤ -5
false so we shade the section that does not include the point (0,0) in it
the graph would look like this attachment
1) regular cost for one person is: 32 ×1 = $32
for X people it would be 32X as you should times by the number of people.
= 32x
2)1 person is (20×1) + 84
20 + 84 = $104
for X people it would be 20x + 84
= 20x + 84
In order to answer this, you need to find the equation of the line. The equation of a line is y= mx + b; mx being the slope and b being the y- intercept. The y intercept is located at (0, 20).
To find the slope, take two points. Let's use (1,40) and (2,60).
Use the slope formula: (y1 - y2)/(x1 - x2)
(60-40)/(2-1)= 20/1= 20.
The slope is 20, the equation is: y = 20x + 20.
Now plug 10 into x:
y = 20(10) + 20
y = 220
Your answer is 220.