Answer:

Step-by-step explanation:

Making denominator same in first bracket we get


Dividing 6 by 3 we get 2

using distributive law

Hence this is our answer
When two fractions are equivalent that means that different fractions have the same number
The numbers are: 36 and 11 .
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Explanation:
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Let us represent the TWO (2) numbers with the variables;
"x" and "y" .
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x + y = 47 .
y − x = 25.
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Since: " y − x = 25 " ;
Solve for "y" in terms of "x" ;
y − x = 25 ;
Add "x" to each side of the equation:
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y − x + x = 25 + x ;
to get:
y = 25 + x .
Now, since:
x + y = 47 ;
Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :
x + (25 + x) = 47 ;
x + 25 + x + 47 ;
2x + 25 = 47 ;
Subtract "25" from each side of the equation:
2x + 25 − 25 = 47 − 25 ;
2x = 22 ;
Divide EACH SIDE of the equation by "2" ;
to isolate "x" on one side of the equation; and to solve for "x" ;
2x / 2 = 22 / 2 ;
x = 11 ;
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x + y = 47<span> ;
</span>Plug in "11" for "x" into the equation ; to solve for "y" ;
11 + y = 47 ;
Subtract "11" from EACH SIDE of the equation;
to isolate "y" on one side of the equation; and to solve for "y" ;
11 + y − 11 = 47 − 11 ;
y = 36 .
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So: x = 11 , y = 36 ;
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Let us check our work:
y − x = 25 ;
36 − 11 =? 25 ? Yes!
x + y = 47 ;
36 + 11 =? 47 ? Yes!
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The numbers are: 36 and 11 .
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Answer:
4.17 centimeters
Step-by-step explanation:
The large bottle of nasal spray is 9.46 centimeters tall. Assuming that the large bottle of nasal spray has the shape of cylinder, then the height of the cylinder is 9.46 centimeters.
The small bottle is 5.29 centimeters tall. Assuming that the small bottle of nasal spray has the shape of a cylinder too, then the height of the cylinder is 9.46 centimeters.
We want to know how much shorter the smaller bottle is than the big bottle. This is calculated by
Height of big bottle - height of small bottle
= 9.46 centimeters. - 5.29 centimeters
= 4.17 centimeters