I think that the anwser is 33
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).
First, we must find the slope (<em>m</em>).
where two points that fall on the line are and
Two points that are highlighted for us on the graph are (-3,-2) and (5,4). Plug these into the equation:
Therefore, the slope of the line is 3/4. Plug this into :
Now, to find the y-intercept (<em>b</em>), our first resort would be to find it on the graph. However, on the graph, it appears ambiguous. So, we must solve it algebraically.
Plug in the point (5,4) and solve for <em>b</em>:
Therefore, the y-intercept is . Plug this back into :
I hope this helps!
Answer/Step-by-step explanation:
We start with the variable "x". Let's call "x" Dan's full tank.
So we know that right now he has 1/5x or 1/5 of a full tank.
After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank
So we start with
(1/5)x + 13 = 7/10x
Let's subtract 1/5x from both sides
13 = 7/10x - 1/5x
Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10
13 = 7/10-2/10x
Now we simplify to get
13 = 5/10x
Multiply the reciprocal of 5/10 to both sides which is 10/5
13 * 10/5= x
Answer is 26 gallons.
Therefore, Deon's tank can hold 26 gallons.
X would be 3 because the cube root of 27 is 3