Answer: shameeka sold 20 hamsters to the store.
Step-by-step explanation:
Let x represent the number of hamsters that shameeka sold to the store.
Let y represent the number of hamsters that the pet store had initially.
Shameeka sold her hamsters to a pet store. This doubled the number of hamsters in the store. It means that
x + y = 2y
x = 2y - y
x = y
Then the store got six more hamsters. If the pet store has 46 hamsters now, it means that
2y + 6 = 46
2y = 46 - 6
2y = 40
y = 40/2
y = 20
Since x = y, then
x = 20
Answer:
![-3x^2-42x](https://tex.z-dn.net/?f=-3x%5E2-42x)
Step-by-step explanation:
<em>Distributive property:</em>
<em> ↓</em>
<em>A(B+C)=AB+AC</em>
<em />
<em>A=-3x, B=x, and C=14</em>
<em />
<em>-3xx+(-3x)*14</em>
<em />
<em>(-b)+=-b</em>
<em />
<em>-3xx-3*14x</em>
<em />
<em>Simplify to find the answer.</em>
<em />
<em>-3xx-3*14x=-3x^2-42x</em>
<em />
<em>
, which is our answer.</em>
a) We have that the discount is 65 %
Scott buys a jacket for $150
First, we will calculate the discount
![150\times\frac{65}{100}=97.5](https://tex.z-dn.net/?f=150%5Ctimes%5Cfrac%7B65%7D%7B100%7D%3D97.5)
then we need to subtract the quantity calculated above from the original price
![150-97.5=52.5](https://tex.z-dn.net/?f=150-97.5%3D52.5)
After the markdown Scott paid $52.5
b.
In order to know the taxes first, we need to calculate the 5% of $52.5
![52.5\times\frac{5}{100}=2.625](https://tex.z-dn.net/?f=52.5%5Ctimes%5Cfrac%7B5%7D%7B100%7D%3D2.625)
then we will sum the 5% plus the price after the markdown
![52.5+2.625=55.125](https://tex.z-dn.net/?f=52.5%2B2.625%3D55.125)
The total cost of the jacket is $55.125