First you distribute...
-2n - 6 - 35 - 14n
Then you simplify...
-16n - 41
Done
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!
We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.
If you have any questions feel free to ask away!!
Comprehension
We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.
We also know that in an isosceles angle, the base angles are equation to each other.
Now that we know what we need to know, we can setup an equation.

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.
I'll start solving now.
Solving
We can solve this by using the equation we made above and solving it with algebra.

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

We've proven that our answer is correct by double checking,
Therefore the answer is 46.5!
Cheers!
Answer:
2.34 per pound is unit price
Step-by-step explanation:
14.04 divided by 6 is 2.34
To solve the equation using complete square method we proceed:
z^2-19z=66
but
c=(-b/2a)^2
c=(-19/2)^2
c=361/4
thus:
z^2-19z+361/4=66+361/4
factoring the LHS we get:
1/4(2z-19)^2=625/4
(2z-19)^2=625
getting the square root of both sides we get:
2z-19=+/-25
2z=+/-25+19
2z=44 or -6
z=22 or -3
Answer: z=22 or z=-3
Answer:
<em>Riley has 72 tokens</em>
Step-by-step explanation:
<u>System of Equations
</u>
We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

Solving for y

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

Or equivalently

Replacing y from the first equation

Operating

Simplifying


Riley has 72 tokens