You need more information for this question... such as how much pens were in the bag
Take the square root of both sides
remember to take the positive and negative root
2x+5=-7 or
2x+5=7
solve each
2x+5=-7
subtract 5
2x=-12
divide 2
x=-6
2x+5=7
subtract 5
2x=2
divid 2
x=1
x=-6 or 1
Answer:
The cost of a bag of chips is ![c=\$0.85](https://tex.z-dn.net/?f=c%3D%5C%240.85)
Step-by-step explanation:
Let
c ----> the cost of a bag of chips
we know that
The cost of a juice pouch ($2.50) plus the cost of 3 bags of chips must be equal to $5.05
The cost of 3 bags of chips is equal to multiply 3 by its cost c
so
The linear equation that represent this situation is
![2.50+3c=5.05](https://tex.z-dn.net/?f=2.50%2B3c%3D5.05)
solve for c
Subtract 2.50 both sides
![3c=5.05-2.50](https://tex.z-dn.net/?f=3c%3D5.05-2.50)
![3c=2.55](https://tex.z-dn.net/?f=3c%3D2.55)
Divide by 3 both sides
![c=2.55/3](https://tex.z-dn.net/?f=c%3D2.55%2F3)
![c=\$0.85](https://tex.z-dn.net/?f=c%3D%5C%240.85)
In singles I think he needs to divide the 38 by 10 to find what each gets
E.g 38÷ 10 then you find what the ans is
I hope this helps
To solve this, we are going to use the break-even point formula:
![B_{ev}= \frac{F_{c}}{S_{p}-V_{c}}](https://tex.z-dn.net/?f=B_%7Bev%7D%3D%20%5Cfrac%7BF_%7Bc%7D%7D%7BS_%7Bp%7D-V_%7Bc%7D%7D%20)
where
![B_{ev}](https://tex.z-dn.net/?f=B_%7Bev%7D)
is the break even point in units
![F_{c}](https://tex.z-dn.net/?f=F_%7Bc%7D)
is the fixed cost.
![S_{p}](https://tex.z-dn.net/?f=S_%7Bp%7D)
is the sale price per unit.
![V_{c}](https://tex.z-dn.net/?f=V_%7Bc%7D)
is the variable cost per unit.
We know form our problem that the selling price of the sweatshirts is $19.99, so
![S_{p}=19.99](https://tex.z-dn.net/?f=S_%7Bp%7D%3D19.99)
. We also know that their variable unit cost $12.50, so
![V_{c}=12.50](https://tex.z-dn.net/?f=V_%7Bc%7D%3D12.50)
. Finally, we also know that the fixed cost is $18,725, so
![F_{c}=18.725](https://tex.z-dn.net/?f=F_%7Bc%7D%3D18.725)
. Lets replace the values in our formula to find
![B_{ev}](https://tex.z-dn.net/?f=B_%7Bev%7D)
:
![B_{ev}= \frac{F_{c}}{S_{p}-V_{c}}](https://tex.z-dn.net/?f=B_%7Bev%7D%3D%20%5Cfrac%7BF_%7Bc%7D%7D%7BS_%7Bp%7D-V_%7Bc%7D%7D%20)
![B_{ev}= \frac{18.725}{19.99-12.50}](https://tex.z-dn.net/?f=B_%7Bev%7D%3D%20%5Cfrac%7B18.725%7D%7B19.99-12.50%7D%20)
![B_{ev}= \frac{18.725}{7.49}](https://tex.z-dn.net/?f=B_%7Bev%7D%3D%20%5Cfrac%7B18.725%7D%7B7.49%7D%20)
![B_{ev}=2.5](https://tex.z-dn.net/?f=B_%7Bev%7D%3D2.5)
We can conclude that the break-even point of Lester corporation is
2.5 units.