X - ( 1 / 2 )x - ( 1 / 3)x = 6x / 6 - 3x / 6 - 2x / 6 = ( 1 / 6 )x, where x is full tank of gas
The answer is 1 / 6 of the gas have left ;
Answer:
C.
Step-by-step explanation:
For Function 2
x=1 y=8
x=2 y=11
8=m+b
11=2m+b
11-8=2m-m
m=3
8=3+b
b=5
y=3x+5
Function 1
y=4x+5
Function 2
y=3x+5
....................
Function 1 has the same y-intercept and greater slope than Function 2.
In the table shown below:
Let N be the number of bottles filled,
Let T be the time in hours.
Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

Let's evaluate the value of k for each day.
Thus, on monday,

Tuesday:

Wednesday:

Thursday:

It is observed that all exept wednesday have the same value of k.
Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.
Find the slope using the formula [ y2-y1/x2-x1 ].
-9-(-12)/-15-(-24)
3/9
1/3
Find the y-intercept using the formula [ y = mx + b ].
y = 1/3x + b
-12 = 1/3(-24) + b
-12 = -8 + b
-4 = b
Use (18, 2) to see if the line passes through it
y = 1/3x - 4
2 = 1/3(18) - 4
2 = 6 - 4
2 = 2 TRUE
Thus, the line does pass through (18, 2).
Best of Luck!
Answer:
The number of registrants in art workshop is 49.
Step-by-step explanation:
The dance workshop has three times the number of registrants than the art workshop the art workshop has 98 less writings than the dance workshop how many registrations the art workshop has
Let the registrants in the art workshop is p.
The registrants in the dance work shop is 3 p.
According to question,
p = 3p - 98
2 p = 98
p = 49
So, the number of registrants in art workshop is 49.