Answer:
The system of equations representing the situation are
with solutions
Step-by-step explanation:
Let us call 
the number of associates and 
the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have
.
Since the law firm assigned at total of 16 lawyers, we have
.
Thus, the system of equations representing the situation are
And the solution to this system is found by solving for in the second equation and substituting its value in the first equation:
We put this value into and solve for 
The answer is A. 4(n 3) - 6n
Answer:
A minimum of 10 dimes and 11 quarters is what Alexandra will have
Step-by-step explanation:
Let
d = number of dimes
q = number of quarters
Since she has 21 coins altogether,
d + q = 21------------------------equation 1
- If these coins are worth $3.75 then
0.10 x d + 0.25 x q = 3.75
- which is 0.10d +.25q =3.75
--------------------------equation 2
where $.10 is the value of one dime and $.25 is the value of one quarter
make d the subject of formula from equation 1 d = 21 -q----------equation 3
insert it in equation 2
0.10d +0.25q =3.75
0.10(21-q) + 0.25q = 3.75
0.1(21)-0.1q+0.25q=3.75
2.1 +0.15q = 3.75
0.15q = 3.75-2.1 = 1.65
q = 1.65/0.15 =165/15 =11
- since we have the value of q insert in equation 3
d = 21 - q
d = 21-11
d = 10
Alexandra has 10 dimes and 11 quarters.
from my calculation i can see that the a minimum of 10 dimes and 11 quarters is what Alexandra will have
Answer: hello! I'm here to help.
Let's work the problem using just the thousands and leave the zeros off. We'll add them back at the end.
Let M be the salary of the Master's degree, and B be the salary of the Bachelor's degree.
M + B = 120
M + 39 = 2B
M = 2B - 39
2B - 39 + B = 120
3B - 39 = 120
3B = 159
B = 53
M = 120 - B = 120 - 53 = 67
<h2>
PLEASE BRAINLIEST! :)</h2>
You have to find the unit rate, which in this case means the amount of fish you need per serving of soup.
If 16 oz of fish makes 24 servings, then 16/24 oz = 2/3 oz makes 1 serving.
Now multiply both quantities by 10, so that 10 servings require 20/3 oz ≈ 6.67 oz of fish.
A more direct way to do this is to solve for <em>x</em> in the following equation:
(16 oz fish) / (24 servings) = (<em>x</em> oz fish) / (10 servings)
Then (omitting units)
<em>x</em> = 10 • 16 / 24 = 20/3
