9514 1404 393
Answer:
Step-by-step explanation:
If Anna's age is represented by A, then 12 more than Anna's age will be ...
12 + A
Jason's age is said to be 12 more than Anna's age, so ...
J = 12 + A
__
The sum of their ages will be J + A. That is said to be 50, so ...
J + A = 50
_____
These equations can be solved by using the first to substitute for J in the second.
(12 +A) +A = 50
2A = 38 . . . . . . . . subtract 12
A = 19 . . . . . . . . . . divide by 2
J = 12 +19 = 31 . . . find Jason's age
Jason is 31; Anna is 19.
Check the picture below.
since in a rhombus the diagonals bisect each other, thus EC = EA.
now, the rhombus is simply 4 congruent triangles, we know the base and height of one of them, thus
![\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=8\\ h=15 \end{cases}\implies A=\cfrac{1}{2}(8)(15)\implies A=60 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of all 4 triangles}}{4(60)\implies 240}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20triangle%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7B1%7D%7B2%7Dbh~~%20%5Cbegin%7Bcases%7D%20b%3D8%5C%5C%20h%3D15%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B1%7D%7B2%7D%288%29%2815%29%5Cimplies%20A%3D60%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20all%204%20triangles%7D%7D%7B4%2860%29%5Cimplies%20240%7D)
This is what I put in my response
For me I thought that algebra was better. I loved algebra I mean math is math somethings in math are hard, somethings are easy, sometimes in math you will come across something that seems impossible. Sometimes you will fly thru but, what makes the journey bearable is the people around you. Why I think algebra is better is because of the people that were in math course with me and my teacher because. The teachers make all the difference.
whatever% of anything is just (whatever/100) * anything.
so the socket set has a 40% off, what is 40% of 36? well, is just (40/100) * 36, or 14.4, that's the discount, so the sale price is 36 - 14.4, or 21.6.
plus the 8.25% taxation, what is 8.25% of 21.6? well, is just (8.25/100) * 21.6, or 1.782.
so the total price is 21.6 + 1.782, or 23.382, or about 23 bucks and 38 cents.
