Answers:
- Sam's current age = 24
- The mother's current age = 48
=========================================================
Explanation:
s = Sam's age right now
2s = the mother's age right now, since she is twice as old as Sam currently.
In 12 years time, Sam will be s+12 years old.
12 years ago from this current year, the mother was 2s-12 years old.
Since we're told these future and past ages line up, this means s+12 and 2s-12 are the same value
Set the expressions equal to one another and solve for s.
s+12 = 2s-12
s-2s = -12-12
-s = -24
s = 24
Sam is currently 24 years old.
His mother is currently 2s = 2*24 = 48 years old.
12 years ago, his mother was 2s-12 = 48-12 = 36 years old.
12 years from now, Sam will be s+12 = 24+12 = 36 years old.
Since we get 36 each time, this confirms we have the correct answers.
first set the first equation equal to x
subtract 2y from both sides
x=27-2y now plug this in to the other equation
2(27-2y)+3y=46 distribute
54-4y+3y=46 --> 54-y=46 now subtract 54 from both sides -y=-8 --> D)y=8
If you weren't asked to show work you could just plug the choices given into the equation
9514 1404 393
Answer:
not
Step-by-step explanation:
The square root of 8 is not the root of a perfect square, so it is irrational. Multiplying it by a rational number gives an irrational product.
-3√8 is irrational
The answer is: "
1 " .
______________________________________________________ "
x = 1 " .
______________________________________________________Explanation:______________________________________________________Write as a fraction:
______________________________________________________ ![\frac{2}{x} = \frac{4}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7Bx%7D%20%3D%20%5Cfrac%7B4%7D%7B2%7D)
;
Reduce the "
![\frac{4}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B2%7D)
" to "
![\frac{2}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B1%7D%20)
:
Since "(4/2) = (4÷2) / (2÷2) " = "(2/1)" ;
________________________________________________________And we rewrite as:
________________________________________________________ ![\frac{2}{x} = \frac{2}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7Bx%7D%20%3D%20%5Cfrac%7B2%7D%7B1%7D)
;
as we can see: "
x = 1 " .
________________________________________________________