<h2>
Good morning,</h2>
<em><u>__________________</u></em>
<em><u>Answer</u></em>:
a+a+a = 3a.
4b-b = 3b.
3x²+x² = 4x².
<u><em>explanation</em></u>
a+a+a = 3a.
4b-b = b(4 - 1) = b × 3 = 3b.
3x²+x² = x²(3 + 1) = x² × 4 = 4x².
_______________________________
:)
Explanation is in a file
bit.
ly/3a8Nt8n
Answer:
10 friends
Step-by-step explanation:
we know that
The formula of the sum is equal to
![sum=\frac{n}{2}[2a1+(n-1)d]](https://tex.z-dn.net/?f=sum%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a1%2B%28n-1%29d%5D)
where
a1 is the first term
n is the number of terms (number of friends)
d is the common difference in the arithmetic sequence
In this problem we have
----> the common difference
substitute in the formula and solve for n
![275=\frac{n}{2}[2(5)+(n-1)(5)]](https://tex.z-dn.net/?f=275%3D%5Cfrac%7Bn%7D%7B2%7D%5B2%285%29%2B%28n-1%29%285%29%5D)
![550=n[10+5n-5]\\ \\550=10n+5n^{2} -5n\\ \\5n^{2}+5n-550=0](https://tex.z-dn.net/?f=550%3Dn%5B10%2B5n-5%5D%5C%5C%20%5C%5C550%3D10n%2B5n%5E%7B2%7D%20-5n%5C%5C%20%5C%5C5n%5E%7B2%7D%2B5n-550%3D0)
Solve the quadratic equation by graphing
The solution is n=10
see the attached figure
therefore
She had 10 friends who got stickers
If a number is divisible by 5, 6, and 7,
<span>it's divisible by 5 x 6 x 7 = 210, the least </span>
<span>common multiple of the numbers. So her number </span>
<span>is a multiple of 210. The only 4-digit multiple </span>
<span>is 210 that starts 210 _ is 2100, so that's her number.</span>
All of the angles in a triangle equal 180° so if the first 2 angles are 60°, combined that equal 120°, leaving 60° left. X= 60°
