Answer:
x>-2
Step-by-step explanation:
13+x>11
Subtract 13 from each side
13-13+x>11-13
x>-2
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
<h3>
How many cakes will they have sold?</h3>
We know that the costs are:
- $30 for the booth at the fair.
- $2 for each piece of cake they sell.
And the revenue is:
- $8 for each piece of cake.
So, the profit (the difference between the revenue and the cost) for selling x pieces is:
p(x) = $8*x - $2*x - $30
p(x) = $6*x - $30
We want to find the value of x such that p(x) = 0, then:
0 = $6*x - $30
x = $30/$6 = 5
They need to sell 5 pieces to cover their expenditures (have a profit of zero).
If you want to learn more about profit:
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Answer:
82.5% Americans owned a TV also owned a DVD player .
Step-by-step explanation:
Formula

As given
Of the 114.2 million Americans who owned a TV, 94.2 million also owned a DVD player.
Here
Part value = 94.2 million
Total value = 114.2 million
Putting all the values in the formula



Percentage = 82.5 %
Therefore 82.5% Americans owned a TV also owned a DVD player .
Answer:

Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (-6, 4), (6, 10)
(-6, 4) = (x1, y1)
(6, 10) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:

Simplify:
10 - 4 = 6
6 - (-6) = 6 + 6 = 12

The slope is
.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

10 = 3 + b
7 = b
The y-intercept is 7.
Now that we know the slope and the y-intercept, we can write the equation:
