Answer: x = 6.46153846
Step-by-step explanation:
We are given the equation <em>13x - 4 +100 = 180</em>, and we must find the value of <em>x</em>. In order to do that get x on on one side by itself and a constant on the other side by itself.
This first step is to combine like terms. <em>13x</em> is by itself. <em>-4 + 100 = 96</em>. This gives us the equation <em>13x +96 = 180</em>.
In order to get <em>x </em>by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.
Next, divide each side by 13 to find x. This gives us x = 6.46153846




Hope this helps! Have a nice day!
For the lines to be parallel the two angles need to be equal to each other:
128-x = x
Add 1x to both sides
128 = 2x
Divide both sides by 2:
X = 128/2
X = 64
Answer: x = 64
Answer:
P(t) = 282.2(1.009)^t
Step-by-step explanation:
Look at the attached image.
Hope you can read my handwriting. the image cut off the right side, b = 1.009213324... but question asks to round to nearest thousandth so it's 1.009
For the second part just use the equation to find P when t = -1 and see if P is less than (underpredicts) the number from the question or greater than (overpredicts) the number. I haven't calculated it but I think it will be smaller and thus underpredicts just from looking at the numbers when t = -1
Answer:
608
Step-by-step explanation:
There are a total of 1,824 drinks since there were 76 cases at 24 drinks a piece. This creates a total number of 24*76 = 1824.
If each student receives 3 then 1824/3 = 608. There were 608 students.
Answer:

Step-by-step explanation:
So we have the equation:

Add 2 to both sides. The left cancels:

Divide both sides by 6. The left cancels:

So, the value of x is -1.
And we're done!