Answer:
c
Step-by-step explanation:
thats my final awnser
Answer:
Mother is presently 34
Scott is 11
Step-by-step explanation:
Let the mother's age = x
Let the son's age = y
First Equation
x + y = 45
Second equation
3*(x + 5) - 9 = y+5 Add 9 to both sides
3(x + 5) = y + 5 + 9
3(x + 5) = y + 14 Remove the brackets
3x + 15 = y + 14 Subtract 14 from both sides
3x + 15 - 14 = y
3x + 1 = y
Put the first equation into the second equation
x + y = 45 Subtract y from both sides
y = 45 - x
Put this value for y into the second equation's results.
3x + 1 = 45 - x Add x to both sides
3x + x + 1 = 45
4x + 1 = 45 Subtract 1 from both sides
4x = 45 - 1
4x = 44 Divide by 4
x = 44/4
x = 11
x + y = 45
11 + y = 45
y = 34
Answer:
B. Thermohaline circulation
Step-by-step explanation:
Thermohaline circulation is driven by global density gradients which are created by the surface heat and fluxes of fresh water, as a part of the large scale ocean circulation.
Answer:
Step-by-step explanation:
Given that a solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol.
Let x gallons of 12% alcohol be mixed with y gallons of 4% alcohol.
Total gallons
Alcohol content in the total mixture 

b) Two equations are

c) This is of the form Ax = B
where A =![\left[\begin{array}{ccc}1&1\\12&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%5C%5C12%264%5Cend%7Barray%7D%5Cright%5D)
Inverse is ![\frac{1}{4-12} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\=\frac{-1}{8} \left[\begin{array}{ccc}4&-1\\-12&12\end{array}\right]\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4-12%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-1%5C%5C-12%2612%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cfrac%7B-1%7D%7B8%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%26-1%5C%5C-12%2612%5Cend%7Barray%7D%5Cright%5D%5C%5C)
Solution set is A inverse *B
= 
The LCM of 6 and 15 is 30:)