Solve & Explain. I have done many others similar to this one but for some reason, this one isn't workin' out for me.
5{[7(a-4)+97]-[97(4a-7)+4]}
2007-07-03 06:33:41 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
5{[7(a-4)+97]-[97(4a-7)+4]}
I'm going to take this piece by piece:
[7(a-4)+97]
= 7a - 4(7) + 97
= 7a - 28 + 97
= 7a + 69
[97(4a-7)+4]
= 97(4a) - 97(7) + 4
= 388a - 679 + 4
= 388a - 675
so....
[7(a-4)+97]-[97(4a-7)+4]
= (7a + 69) - (388a - 675)
= 7a + 69 - 388a + 675
= (7a - 388a) + (69 + 675)
= -381a + 744
Now...
5{[7(a-4)+97]-[97(4a-7)+4]}
= 5 (-381a + 744)
= 5(-381) + 5(744)
= -1905a + 3720
2007-07-03 06:39:56 · answer #1 · answered by Mathematica 7 · 1⤊ 0⤋
7(a - 4) + 97 = 7a - 28 + 97 = 7a + 69
97.(4a - 7) + 4 = 388a - 679 + 4 = 388a - 675
Subtraction gives:-
- 381a + 744
Multiply by 5:-
- 1905 a + 3720
2007-07-06 20:09:05 · answer #2 · answered by Como 7 · 0⤊ 0⤋
this is how i would do it,
5{ [7(a-4)+97] - [97(4a-7)+4] }
5{ [7a-28+97] - [388a-679+4] }
5{ [7a+69] - [388a-675] }
combine like terms
5{ [-381a+744] }
times everything by 5 to get answer
-1905a + 3720
hope i was able to help
GOOD LUCK
2007-07-03 06:56:53 · answer #3 · answered by lesey3 1 · 0⤊ 0⤋
Parenthesis, Exponents, Multiply, Divide, Add, Subtract is the order of operations.
5{[7a - 28 +97] - [388a - 679 + 4]}
5{[7a + 69] - [388a - 675]}
5{-381a + 744}
-1905a + 3720
This is probably the answer you need but if you need to solve for a:
I'm assuming it's set to 0 so...
-1905a + 3720 = 0
-1905a = -3720
a = 3720/1905
2007-07-03 06:44:51 · answer #4 · answered by Justin M 4 · 0⤊ 0⤋
5[7a-28- 388a+679+4] = 5[-381a+655] = 1905a + 3275
2007-07-03 06:43:09 · answer #5 · answered by dwinbaycity 5 · 0⤊ 0⤋