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r-ruslan [8.4K]
1 year ago
9

Simplify Which of the following is correct?

Mathematics
1 answer:
aalyn [17]1 year ago
6 0

The difference between mixed numbers gives:

-5¹/₆ - (-8¹/₂) = 3¹/₃

So the correct option is the third one.

<h3 /><h3>How to get the difference between mixed numbers?</h3>

Here we want to compute the difference between two mixed numbers.

First, remember that we can rewrite those as:

-5¹/₆ = (-5 - 1/6)

-8¹/₂ = (-8 - 1/2)

Now, let's go to the difference:

-5¹/₆ - (-8¹/₂)

First you can see that there are two negative signs together, so it is equivalent to a positive sign:

-5¹/₆ - (-8¹/₂) = -5¹/₆  + 8¹/₂

Now we can replace the mixed numbers to get:

-5¹/₆  + 8¹/₂ = (-5 - 1/6) + (8 + 1/2) = (8 - 5) + (1/2 - 1/6) = (3 + 2/6) = 3 + 1/3

And that can be rewritten to:

3 + 1/3 = 3¹/₃

Which is completely simplified.

So we conclude that the correct option is the third one, counting from the top.

If you want to learn more about mixed numbers:

brainly.com/question/1746829

#SPJ1

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Which of the following is a solution of y &gt; |x| - 6?<br><br> (-5, 1)<br> (-1, -5)<br> (5, -1)
levacccp [35]
Absolute value of x minus 6 is less than y
one way is to jsut make all the x's positive, then subtract them from 6 and see if they are less

sorry for confusing, just read below

(-5,1)
1>|-5|-6
1>5-6
1>-1
true

(-1,-5)
-5>|-1|-6
-5>1-6
-5>-5
false

(5,-1)
-1>|5|-6
-1>-1
false



answer is (-5,1)
4 0
2 years ago
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hi i need help with this 2 questions ASAP its due in 5 minutes and I'm begin from the 24 questions HELLLLLPPPPP
Maksim231197 [3]

Answer:

6-1 7-3

Step-by-step explanation:

6 0
2 years ago
Wren wants to put some artwork into three shadow boxes. She knows they all need a volume of 60 cubic inches, but she wants them
Alexeev081 [22]

Answer: 1. 15 in long, 2 in wide, 2 in thick. 2, 10 in long 3 in wide and 2 in thick. 3, 5 in long by 6 wide 2 thick.

Step-by-step explanation:

All you have to do is try to factor the number sixty, by dividing, then dividing what comes out of that. You stop once you have factored to the point you want to.

5 0
3 years ago
The difference between 8 forty-sevens and 7 forty-seven
VARVARA [1.3K]
The answer is 100, because the word "difference" means subtraction, so we subtract 747 form 847 and we get 100.

           847
       -   747
     -----------
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8 0
2 years ago
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15. At a football match, 10 men bought either a pie or a cup of
Soloha48 [4]

Answer:

8 pies and 2 coffees must have been bought.

Step-by-step explanation:

Given that:

10 men bought either a pie or a cup of coffee.

Cost per pie = 60p

Cost per coffee = 50p

Total amount spent = £5.80 * 100 = 580p

Let,

x be the number of pies

y be the number of coffees

According to given statement;

x+y = 10     Eqn 1

60x+50y=580    Eqn 2

Multiplying Eqn 1 by 50

50(x+y=10)

50x+50y=500      Eqn 3

Subtracting Eqn 2 from Eqn 3

(60x+50y)-(50x+50y) = 580-500

60x+50y-50x-50y=80

10x=80

Dividing both sides by 10

\frac{10x}{10}=\frac{80}{10}\\x=8

Putting x=8 in Eqn 1

8+y=10

y=10-8

y=2

Hence,

8 pies and 2 coffees must have been bought.

4 0
3 years ago
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