A DVD box set includes 3 thriller movies and 2 comidies. Use t to represent the cost of each thriller and c to represent the cos
1 answer:
Answer:
The expression representing the Total cost of 6 boxes is .
The Simplified expression representing the Total cost of 6 boxes is .
Step-by-step explanation:
Given:
Number of thriller movies = 3
Number of Comedy movies = 2
Let the cost of thriller movie be t
Also Let the cost of comedy movie be c
Total Number of boxes = 6
Now, given a DVD box set includes 3 thriller movies and 2 comedies.
Cost of Each box =
We need to find the total cost of 6 boxes
Total Cost of 6 boxes is =
Hence the expression representing the Total cost of 6 boxes is .
Simplifying the above expression we get;
Total Cost of 6 boxes is =
Hence the Simplified expression representing the Total cost of 6 boxes is .
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Given:
The system of equations is:
Line A:
Line B:
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get
Divide both sides by 2.
Substituting in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting in the given equations.
This statement is true.
Similarly,
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
Answer: 8 cupcakes per box
Step-by-step explanation: "Per box" means in 1 box, so we can rewrite the given statement using fractions as
<em>48 cupcakes/6 boxes</em> = <em>__ cupcakes/1 box</em>.
To find out what goes in the blank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 48/6 that has a 1 in the denominator.
If we divide the numerator and denominator of 48/6 by 6,
we get the equivalent fraction 8/1 or <em>8 cupcakes/1 box</em>.
So now we have <em>8 cupcakes/1 box = __cupcakes/1 box</em>.
So an 8 must go in the blank which means that the unit rate
for 48 cupcakes in 6 boxes is <em>8 cupcakes per box</em>.
