<h2>
Answer:</h2><h2>
The cost of ketchup bottle, x = 2.89</h2><h2>
The cost of mustard bottle, y = 1.59</h2>
Step-by-step explanation:
Let the ketchup be represented as x and mustard as y
Briana bought 3 bottles of ketchup and 2 bottles of mustard and for $11.85
3x + 2y = 11.85 ...(1)
Logan bought 2 bottles of ketchup and 5 bottles of mustard for $13.73.
2x + 5y = 13.73 ...(2)
Multiplying eq (1) by 2, we get
6x + 4y = 23.7 ...(3)
Multiplying eq (2) by 3, we get
6x + 15y = 41.19 ...(4)
Subtracting eq (3) from (4),
we get 11y = 17.49
y = 1.59, substitute it in eq(1), we get
x = 2.89
Therefore, the cost of ketchup bottle, x = 2.89
The cost of mustard bottle, y = 1.59
Answer:
A and C
Step-by-step explanation:
Given
2x² + 6x - 10 = x² + 6 ( subtract x² + 6 from both sides )
x² + 6x - 16 = 0
Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (+ 6)
The factors are + 8 and - 2, since
8 × - 2 = - 16 and 8 - 2 = + 6, thus
(x + 8)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8 → A
x - 2 = 0 ⇒ x = 2 → C
Answer:
- Equation: 32° + 30° + x° = 180°
- Solved: x = 118°
Step-by-step explanation:
- 3 angles = 180°
- 32° + 30° + x° = 180°
- 62° + x = 180°
- Subtract 62 from each side, so it now looks like this: x = 118°
- So, x is 118°
I hope this helps!
Answer:
18/12
Step-by-step explanation:
18- rise
12- run
