Answer:
11.
Step-by-step explanation:
(2(n-3))-4=12
(2n-6)-4=12 <em>distribute</em>
2n-6-4=12
2n-10=12
2n=12+10 <em>isolate</em><em> </em><em>n</em><em> </em>
2n=22
2n÷2=22÷2
n=11
Answer:
The race must be up to 29 meters for Dhvan to win.
Step-by-step explanation:
Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:
45 / (2.5 - 1) = X
45 / 1.5 = X
30 = X
Therefore, the race must be up to 29 meters for Dhvan to win.
Answer:
Coffee = $2.00
Juice = $1.50
Doughnut = $1.00
Step-by-step explanation:
Given
Let:

So, we have:
Anna

Barry

Cathy

Required
The price of each
We have:



Make c the subject in: 

Substitute
in
and 

![2[5.00 - 3d] + j + 2d = 7.50](https://tex.z-dn.net/?f=2%5B5.00%20-%203d%5D%20%2B%20j%20%2B%202d%20%3D%207.50)

Make j the subject



![3[5.00 - 3d] + j + 4d = 11.50](https://tex.z-dn.net/?f=3%5B5.00%20-%203d%5D%20%2B%20j%20%2B%204d%20%3D%2011.50)

Make j the subject


So, we have:
and 
Equate both values of j

Collect like terms


Substitute
in 




To solve for c, we substitute
in 


Solve for c


Answer:
Step-by-step explanation:
associative property because the numbers are changing in postition throughout the equation.