Answer:
Option A is the correct choice.
Step-by-step explanation:
Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.
We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.
Further, the company plan to make $300. We can represent this information as:
We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:
Therefore, our desired system of equation will be:
Answer:
c
Step-by-step explanation:
Answer:
no solution
Step-by-step explanation:
6x - 3y = 7 → (1)
- 2x + y = - 8 → (2)
multiplying (2) by 3 and adding to (1) eliminates the variables
- 6x + 3y = - 24 → (3)
add (1) and (3) term by term
0 + 0 = - 17
0 = - 17 ← false statement
This indicates the system has no solution
Answer:
C
Step-by-step explanation:
For 3 different side lengths, you need 3 different angles. That eliminates A, B and D.
A: In the case of A, The angles do not add up to 180 so this is not possible. Even if it was, the angles are all the same and the side lengths would be as well.
B: Two angles are the same, therefore, 2 sides will be the same, even though the two sides added together will be larger than the side opposite.
D: Two angles are the same. The angles add to 180. The triangle will have 2 equal sides.
C: Answer. The three given angles add to 180. They are different. Unless the side opposite 93 exceeds the length of the other 2 sides, this forms a triangle with 3 different sides. Using other methods to calculate the answer the other 2 sides do exceed the the base length so everything is fine.
You are given the X value, replace x with 2 in the first equation to solve for y:
y=2x +3
y = 2(2) +3
y = 4+3
y = 7
Now replace y with 7 and x iwth 2 in the second equation and solve for k:
y = -x +k
7 = -2 +k
Add 2 to both sides:
9 = k
so k = 9
The point is given as k-2, which is 9-2 = 7, which is what y equals in the first equation.
K = 9
