Hey there! :D
Since all the terms are being added together, and there is a common denominator with the fractions, we can just add them.
x+x= 2x 3/4+2/4= 5/4
2x+5/4
2x+1.25<== simplest form
I hope this helps!
~kaikers
Answer:
x = 1178 games
Step-by-step explanation:
Let the number of games = x
Let the total cost = Tc
Let the total revenue = Tr
Given the following data;
Investment = $10,000
Cost of each game = $1.50
Selling cost = $9.99
Total cost, Tc = (Cost of each game * Number of games) + Investment
Tc = 1.50x + 10000
Total revenue, Tr = Selling cost * Number of games
Tr = 9.99x
Breakeven point is when total cost is equal to total revenue;
Tc = Tr
x = 1177.86 ≈ 1178 games.
<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>
Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
- A piece-wise function is a function which has multiple pieces.
- Each of the pieces have their own restrictions.
- The domain of a function is the set of input, or x, values for which the function is defined.
- The range is the set of all values taken by the function
As the piece
has the domain [-5, 3) and graph of this piece is attached below.
and
has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval
.
i.e.
Domain: [-5, 3) U [3, 7)
Range: ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
<em>Learn more about piece-wise function from brainly.com/question/12687437</em>
<em>#learnwithBrainly</em>
Answer:
T = 49
Step-by-step explanation:
T = w - ma
w = 85
m = 12
a = 3
Plug in the corresponding numbers to the corresponding variables:
T = (85) - (12) * (3)
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
First, multiply, then subtract:
T = 85 - (12 * 3)
T = 85 - 36
T = 49
T = 49 is your answer.
~
Answer:
Step-by-step explanation:
Let j represent the cost of a juice box.
Let w represent the cost of a bottle of water.
One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92.. This means that
18j + 32w = 19.92 - - - - - - - - - - - - 1
The other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. This means that
14j + 26w = 15.76- - - - - - - - - - - - 2
Multiplying equation 1 by 14 and equation 2 by 18, it becomes
252j + 448w = 278.88
252j + 468w = 283.68
Subtracting, it becomes
- 20j = - 4.8
j = - 4.8/- 20 = 0.24
Substituting j = 0.24 into equation 1, it becomes
18 × 0.24 + 32w = 19.92
4.32 + 32w = 19.92
32w = 19.92 - 4.32 = 15.6
w = 15.6/32 = 0.4875
Kara's prices are incorrect.
the cost of a juice box is $0.24
the cost of a bottle of water is $0.4875