If you would like to solve the system of equations x + y = 3 and 2x - y = 6, you can do this using the following steps:
<span>x + y = 3 ... y = 3 - x
2x - y = 6
</span>_________
<span>2x - y = 6
</span>2x - (3 - x) = 6
2x - 3 + x = 6
3x = 6 + 3
3x = 9 /3
x = 9/3
x = 3
<span>y = 3 - x = 3 - 3 = 0
</span>
The correct result would be x = 3.
The way you find profit is to subtract the revenue and the cost
Profit = Revenue - Cost
The revenue is the amount of money coming in, the cost is the amount of money going out. The goal of course is to have the revenue larger than the cost so that the profit is positive.
So the equation given is
P = 7.5n - (2.25n+15)
and its in the form
P = R - C
where...
R = 7.5n is the revenue equation
C = 2.25n+15 is the cost equation
Focus on the revenue equation
R = 7.5n
which is the same as
R = 7.50*n
This tells us that Sandra pulls in a total of 7.50*n dollars where n is some positive whole number. It represents the number of necklaces sold. For example, if she sold n = 10 necklaces, then
R = 7.50*n
R = 7.50*10
R = 750
meaning that Sandra has made $750 in revenue
As you can see above, the revenue is computed by multiplying the price per necklace ($7.50) by the number of necklaces sold (n) to get R = 7.50*n
So that's why the answer is $7.50
Note: The 2.25 is part of the cost equation. This is known as the variable cost. It is the cost to make one necklace ignoring the fixed cost (eg: rent). The variable cost often doesn't stay the same, but algebra textbooks often simplify this aspect.
1. Convert the mixed numbers into improper numbers (-3 2/5 = -17/5 and 8 1/5 = 41/5). Then add 17/5 to both sides when means b=58/5
2. Multiply both sides by the reciprocal of -7/3 (which is -3/7). So n=18
Answer:
the first equation
Step-by-step explanation:
Answer:
are zeroes of given quadratic equation.
Step-by-step explanation:
We have been a quadratic equation:
We need to find the zeroes of quadratic equation
We have a formula to find zeroes of a quadratic equation:
General form of quadratic equation is 
On comparing general equation with b given equation we get
a=2,b=-10,c=-3
On substituting the values in formula we get
Now substituting D in 
we get
Therefore,
