Answer:
see explanation
Step-by-step explanation:
Expressing as equations
9x + 10y = 297 → (1) ← that is B
8x + 5y = 194 → (2) ← that is D
To solve the system of equations, multiply (2) by - 2
- 16x - 10y = - 388 → (3)
Add (1) and (3) term by term to eliminate the term in y
(9x - 16x) + (10y - 10y) = (297 - 388), that is
- 7x = - 91 ( divide both sides by - 7 )
x = 13
Substitute x = 13 into either of the 2 equations and solve for y
Using (1), then
(9 × 13) + 10y = 297
117 + 10y = 297 ( subtract 117 from both sides )
10y = 280 ( divide both sides by 10 )
y = 28
Cost of a small box of candy = $13
Cost of a large box of candy = $28
Answer:
1. 7:1
2. 1:8
Step-by-step explanation:
1. Start by counting the number of triangles. We see: 56 triangles. Then, count the hearts. We see: 8 hearts.
So, the ratio of triangles to hearts is 56:8 which we simplify to get: 7:1.
2. Start by adding triangles to hearts. We get: 56+8 which equals 64.
The amount of hearts equals 8 so the ratio of hearts to (hearts + triangle) is! 8:64 which equals 1:8.
Answer:
A) (-2,0) and (6,0)
B) (0,-12)
C) (2,-16)
Step-by-step explanation:
In the graph you see below, you can tell that the two x intercepts are at (-2,0) and (6,0), while the y intercept is at (0,-12). You can also see that the vertex is at (2,-16). Hope this helps!
