Using the distributive property is done by multiplying the factor (outside the parentheses) to each term within it. In this case, 8(3 + 4), we multiply the 8 by 3, and then add it to the product of 8 x 4:
8(3 + 4) = 8 x 3 + 8 x 4 = 24 + 32
If we need to simplify further, this adds up to 56.
First month's profit of the company = $2,400.
After the first month, the profit is modeled by the function
J(t) = 2.5t + 1,250, t is the number of months after the first month the shop opened.
Now, P(t) describes the total profit earned by the company.
So, P(t) = (Profit earned from first month) + (Profit earned from remaining 11 months of the year)
= 2400 + (2.5t + 1250)
<u><em>= 2.5t + 3650</em></u>
Hence, total profit earned for the year = 2.5t + 3650.
Answer:
<20,23>
Step-by-step explanation:
u= <4,5> and v= <0,-1>
2v = 2*<0,-1> = <0,-2>
5u = 5* <4,5> = <20,25>
2v+5u = <0,-2> + <20,25>
= <20,23>
The missing value is 6 so 2/5 = 6/15
Answer:
C. 0.006 g/cm³
Step-by-step explanation:
As the units tell you, density is the ratio of mass to volume. The volume of the container is found from ...
V = πr²h = π(10 cm)²(25 cm) = 2500π cm³
Then the density is ...
ρ = (50 g)/(2500π cm³) = 1/(50π) g/cm³
ρ ≈ 0.006 g/cm³
_____
<em>Comment on the problem</em>
The "liquid" has about the same density as air pressurized to 75 psi.
