If a pencil factory makes 50 cases of pencils in 5 hours. Let's first find out how many cases are made per hour.
50 ÷ 5 = 10 cases per hour
Now you need to know how long it will take to make 55 cases. Since we already know that it takes 5 hours to make 50 cases. So you need to know how many cases for the extra 5 cases. If it takes 1 hour to make 10 cases, it would only take 1/2 hour to make 5 cases.
So it would take 5 1/2 hours to make 55 cases.
Hope this helps. :)
Answer:

Step-by-step explanation:
Let:

We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2

Now subtract (2) from 2*(1) in order to eliminate x:

Solving for y:
Multiplying both sides by -1

Finally, replacing the value of y in (1)

Solving for x:
add 41 to both sides:

Multiply both sides by 1/2:

Answer:
g(-4) = 1
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a Cartesian plane
- Coordinates (x, y)
- Function Notation
Step-by-step explanation:
What g(-4) is saying is what the output of the function g(x) when x= -4. According to the graph, when x = -4, y = 1.
∴ g(-4) = 1
Answer:
= 4a + 3c + 13
Step-by-step explanation:
(9+4a)+(4+3c)
= 9 + 4a + 4 + 3c
= 4a + 3c + 13