HW soln: is this correct? (0.7)(6%)(150/450)+9.23 (300/450)
- Thread starter scarter
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Re: HW solution is this correct?
No.
To start with, 42/3000 + 18.46/300 is not = .028, but = .07553333333......
But even that is incorrect: your (9.23/100) should be (923/100); so you'd get: 42/3000 + 1846/300 = 6.1673333333...
Much easier to convert to fractions, then simplify:
(7/10) * (6/100) * (150/450) + (923/100) * (300/450)
= (7/10) * (3/50) * (1/3) + (923/100) * (2/3)
= (7/10) * (1/50) + (923/50) * (1/3)
= 7/500 + 923/150
= (21 + 9230) / 1500
= 9251 / 1500
= 6.167333333...
As far as I know (or can tell), ending with a single fraction (9251 / 1500) makes math teachers "happy";
so you may get an extra mark! But one thing fer sure: they get annoyed if you don't simplify :wink:
scarter said:
No.
To start with, 42/3000 + 18.46/300 is not = .028, but = .07553333333......
But even that is incorrect: your (9.23/100) should be (923/100); so you'd get: 42/3000 + 1846/300 = 6.1673333333...
Much easier to convert to fractions, then simplify:
(7/10) * (6/100) * (150/450) + (923/100) * (300/450)
= (7/10) * (3/50) * (1/3) + (923/100) * (2/3)
= (7/10) * (1/50) + (923/50) * (1/3)
= 7/500 + 923/150
= (21 + 9230) / 1500
= 9251 / 1500
= 6.167333333...
As far as I know (or can tell), ending with a single fraction (9251 / 1500) makes math teachers "happy";
so you may get an extra mark! But one thing fer sure: they get annoyed if you don't simplify :wink:
Re: HW solution is this correct?
so if I was to take this one step further:
Is this correct? finding unknown
10.85 = 6.167(450/3350) + X (2900/3350)
10.85/100 = 6.167 (9/67) + X (58/67)
10.58 = 55.503/6700 + X 58/67
stuck here with the X do I carry the 55.503/6700 to the other side of the = sign?
thanks for your previuos help
so if I was to take this one step further:
Is this correct? finding unknown
10.85 = 6.167(450/3350) + X (2900/3350)
10.85/100 = 6.167 (9/67) + X (58/67)
10.58 = 55.503/6700 + X 58/67
stuck here with the X do I carry the 55.503/6700 to the other side of the = sign?
thanks for your previuos help
D
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Re: HW solution is this correct?
First of all:
start a new thread for a new problem
I am assuming you are using a calculator. For these types of problems, unless otherwise instructed explicitly, I convert everything to decimals and use the MEMORY function of calculator to store intermediate steps (numbers). Start practicing now - it will help you later...
10.85 = 6.167(450/3350) + X (2900/3350)
10.85 = 0.828402985 + X * 0.865671642
X * 0.865671642 = 10.85 - 0.828402985
X = 10.02159701/ 0.865671642
X = 11.57667241
scarter said:so if I was to take this one step further:
Is this correct? finding unknown
10.85 = 6.167(450/3350) + X (2900/3350)
10.85/100 = 6.167 (9/67) + X (58/67)
10.58 = 55.503/6700 + X 58/67<<< Why do you have 6700 instead of 67
stuck here with the X do I carry the 55.503/6700 to the other side of the = sign? <<< First correct it as indicated above then yes - you need to isolate the variable
thanks for your previuos help
First of all:
start a new thread for a new problem
I am assuming you are using a calculator. For these types of problems, unless otherwise instructed explicitly, I convert everything to decimals and use the MEMORY function of calculator to store intermediate steps (numbers). Start practicing now - it will help you later...
10.85 = 6.167(450/3350) + X (2900/3350)
10.85 = 0.828402985 + X * 0.865671642
X * 0.865671642 = 10.85 - 0.828402985
X = 10.02159701/ 0.865671642
X = 11.57667241
Re: HW solution is this correct?
2900x / 3350 = 10.85 = 6.167(450/3350)
simplify:
58x / 67 = 10.85 - 9(6.167) / 67
multiply by 67000:
58000x = 726950 - 55503
58000x = 671447
x = 671447 / 58000 = 11.57667....
Make your life easier; 1st, isolate the x term:scarter said:
2900x / 3350 = 10.85 = 6.167(450/3350)
simplify:
58x / 67 = 10.85 - 9(6.167) / 67
multiply by 67000:
58000x = 726950 - 55503
58000x = 671447
x = 671447 / 58000 = 11.57667....