X + 0.22x = 610
1.22x = 610
x = 500
$500
Answer:
77
Step-by-step explanation:
multiple and divid what do you multiplied add and subtract what do you added and done
Answer:
![\huge\boxed{(-5,\ -1)}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%28-5%2C%5C%20-1%29%7D)
Step-by-step explanation:
![\text{The vertex form of a quadratic equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{where}\ (h,\ k)\ \text{is a vertex},\ \text{and}\ h=\dfrac{-b}{2a},\ k=f(h).](https://tex.z-dn.net/?f=%5Ctext%7BThe%20vertex%20form%20of%20a%20quadratic%20equation%7D%5C%20y%3Dax%5E2%2Bbx%2Bc%3A%5C%5C%5C%5Cy%3Da%28x-h%29%5E2%2Bk%5C%5C%5C%5C%5Ctext%7Bwhere%7D%5C%20%28h%2C%5C%20k%29%5C%20%5Ctext%7Bis%20a%20vertex%7D%2C%5C%20%5Ctext%7Band%7D%5C%20h%3D%5Cdfrac%7B-b%7D%7B2a%7D%2C%5C%20k%3Df%28h%29.)
![\text{We have}\ y=x^2+10x+24\to a=1,\ b=10,\ c=24.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)\to\text{put}\ x=-5\ \text{to the equation}:\\\\k=(-5)^2+10(-5)+24=25-50+24=-1\\\\\text{The vertex}:\ (-5,\ -1)](https://tex.z-dn.net/?f=%5Ctext%7BWe%20have%7D%5C%20y%3Dx%5E2%2B10x%2B24%5Cto%20a%3D1%2C%5C%20b%3D10%2C%5C%20c%3D24.%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5Ch%3D%5Cdfrac%7B-10%7D%7B2%281%29%7D%3D%5Cdfrac%7B-10%7D%7B2%7D%3D-5%5C%5C%5C%5Ck%3Df%28-5%29%5Cto%5Ctext%7Bput%7D%5C%20x%3D-5%5C%20%5Ctext%7Bto%20the%20equation%7D%3A%5C%5C%5C%5Ck%3D%28-5%29%5E2%2B10%28-5%29%2B24%3D25-50%2B24%3D-1%5C%5C%5C%5C%5Ctext%7BThe%20vertex%7D%3A%5C%20%28-5%2C%5C%20-1%29)
Answer:
∠5=∠7=∠6=∠8=143°
∠4=∠2=∠1=37°
Step-by-step explanation:
∠4=180-∠6=180-143=37°
Answer:
2x + 3x = 17.
$3.40.
Step-by-step explanation:
All the cones cost the same. That means that one ice cream cone will cost x dollars.
She spent $17, with 2 chocolate and 3 vanilla.
2x + 3x = 17
5x = 17
x = 17/5 = 3.4
So, each cone costs $3.40.
Hope this helps!