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
Answer:
yes
Step-by-step explanation:
Find the amount of the sales tax:
46 x 0.06 = 2.76
Add the sales tax to the items total:
46 + 2.76 = 48.76
50 > 48.76
Since $48.76 is less than $50 he has enough money
Answer:
Supplementary angle; x = 14.
Step-by-step explanation:
Angle (9x - 2) and angle (10y + 6) form a straight line, so they form a supplementary angle.
Because angle (9x - 2) and (5x + 54) are corresponding angles, we can set them equal to each other.
9x - 2 = 5x + 54
9x - 5x = 54 + 2
4x = 56
x = 14.
Hope this helps!
Answer:
Step-by-step explanation:
Find the slope of the line
(x₁ , y₁) = (6 , 8) & (x₂ , y₂) = (0 , 5)
m = 1/2 ;(x₁ , y₁) = (6 , 8)
y - y₁ = m(x - x₁)
Answer:
4
Step-by-step explanation:
:)
