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san4es73 [151]
4 years ago
7

4.5x+ 7/9 x+2 1/3 + 1/6 x=5 1/18 What is the answer?? How would you solve it?? Please help!!

Mathematics
1 answer:
Travka [436]4 years ago
7 0
18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.

(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify

Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2

The solution is x = 1/2.

_____
You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
  (4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
  (49/9)x + 7/3 = 91/18
  (49/9)x = 49/18 . . . . . . . subtract 7/3
  x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.
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5 0
3 years ago
The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.
UkoKoshka [18]

Answer: 104 (Good chance its wrong)

Step-by-step explanation: if the ratio is 3:1 then there's 3 times as much boys as girls. if there are 52 more boys then that means 52 is twice as much as the number of girls so if we divide is by 2 we get 26. if we add 26 with 52 we get 78 and if we divide 78 by 3 we get 26. so I believe there are 26 girls and 78 boys. 26+78=104

I believe 104 is the answer but there's a good chance i'm wrong.

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3 years ago
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valina [46]
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3 0
3 years ago
Select all equations that have at least one integer solution.
Anit [1.1K]

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b and d

Step-by-step explanation:

5 0
3 years ago
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Eva8 [605]
I think the answer is C.

First start by factoring, you should get (2n-3)(n-2)=0

Then start to solve for n.

2n-3=0

n-2=0

n=2, n= 3/2

I hope that helps.
7 0
3 years ago
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