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Marina86 [1]
3 years ago
12

The water level in Rocky's lake changes on an average of -7/16 every 3 years. Based on the rate of the level, how much will the

water level change after a year
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
5 0

Answer:

-7/ 48

Step-by-step explanation:

Given that:

Average change in water level per 3 years = - 7/16

This means the water level decreases by - 7/16 on average every 3 years

The change in water level after a year will be ;

-7/16 = 3

x = 1

Cross multiply ;

3x = - 7/16

Divide both sides by 3

x = -7/16 ÷ 3

x = - 7/16 * 1/3

x = - 7 / 48

Hence, water level will change by - 7/48 after a year.

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3 years ago
3/4 over 3 1/4 simplified is?
Sergio039 [100]

Answer:

Convert  

3

1

4

to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

3

+

1

4

−

1

3

4

Add  

3

and  

1

4

To write  

3

as a fraction with a common denominator, multiply by  

4

4

.

3

⋅

4

4

+

1

4

−

1

3

4

Combine  

3

and  

4

4

.

3

⋅

4

4

+

1

4

−

1

3

4

Combine the numerators over the common denominator.

3

⋅

4

+

1

4

−

1

3

4

Simplify the numerator.  

Multiply  

3

by  

4

.

12

+

1

4

−

1

3

4

Add  

12

and  

1

.

13

4

−

1

3

4

Convert  

1

3

4

to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

13

4

−

(

1

+

3

4

)

Add  

1

and  

3

4

.

13

4

−

7

4

Combine the numerators over the common denominator.

13

−

7

4

Subtract  

7

from  

13

.

6

4

Cancel the common factor of  

6

and  

4

.

Factor  

2

out of  

6

.

2

(

3

)

4

Cancel the common factors.

Factor  

2

out of  

4

.

2

⋅

3

2

⋅

2

Cancel the common factor.

2

⋅

3

2

⋅

2

Rewrite the expression.

3

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The result can be shown in multiple forms.

Exact Form:

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Decimal Form:

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Mixed Number Form:

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Step-by-step explanation:

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