Company A: 120 + 0.50x
Company B: 60 + 0.60x
Company A = Company B (solve for x)
(Here, x = miles)
120 + 0.50x = 60 + 0.60x
120 - 60 = 0.60x - 0.50x
60 = 0.10x
600 = x
To answer the question, let x be the cost of each hamburger, y be the cost of each medium fries, and z be the cost of each medium drink. The equations that are described in the problem are,
(Miller ) 4x + 3y = 18.69
(James) x + 2y + z = 8.66
(Steven) 2x + y + z = 10.27
Solving simultaneously for the values of the variables give x = 3.36, y = 1.75, and z = 1.8.
Thus, each hamburger costs $3.36. Each medium fries cost $1.75, and each drink costs $1.8.
Answer:
m∠CDE < m∠DEC < m∠ECD
OR
m∠D < m∠E < m∠C
Step-by-step explanation:
According to the angle-side inequalities theorem: In a triangle, the angle opposite to a longer side is larger, and vise versa, the side opposite to a larger angle is longer.
So, the order from smallest to largest is:
m∠CDE < m∠DEC < m∠ECD
OR
m∠D < m∠E < m∠C
Answer:
![(2,\frac{11}{2})](https://tex.z-dn.net/?f=%282%2C%5Cfrac%7B11%7D%7B2%7D%29)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Midpoint Formula:
![(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%29)
Step-by-step explanation:
<u>Step 1: Define</u>
Endpoint (-1, 4)
Endpoint (5, 7)
<u>Step 2: Find midpoint</u>
- Substitute:
![(\frac{-1+5}{2},\frac{4+7}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B-1%2B5%7D%7B2%7D%2C%5Cfrac%7B4%2B7%7D%7B2%7D%29)
- Add:
![(\frac{4}{2},\frac{11}{2})](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B2%7D%2C%5Cfrac%7B11%7D%7B2%7D%29)
- Divide:
![(2,\frac{11}{2})](https://tex.z-dn.net/?f=%282%2C%5Cfrac%7B11%7D%7B2%7D%29)