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Licemer1 [7]
3 years ago
9

Is two years equal to or greater to or less than 14 months

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
8 0
Since one year is equal to 12 months, two years is 24 months.  Because 24 is larger than 14, two years is greater than 14 months.
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What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex
Nonamiya [84]

Combine the terms by multiplying into a single fraction.

\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14   }

Find the common denominator.

\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14   }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14   }

Combine the multiplied terms into a single fraction

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14   }

Find the common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4}    }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4}   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4}   }

Eliminate the denominators of the fractions.

\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4}   }

Cancel the multiplied terms that are in the denominator.

\bf{2(5x-14)=3x+56}

To distribute.

\bf{10x-28=3x+56 }

Add 28 to both sides.

\bf{10x-28+28=3x+56+28 }

Simplify

\bf{10x=3x+84 }

Subtract 3x from both sides.

\bf{10x-3x=3x+84-3x }

Simplify

\bf{7x=84 }

Divide both sides by the same factor.

\bf{x=\dfrac{84}{7} }

Simplify

\bf{x=12 \ \ \ === > \ \ \ Answer}

↓

<h3>Verification</h3>

Let x=12.

  1. \bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14   }
  2. \bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14   }
  3. \bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14   }
  4. \bf{30-7=\dfrac{3}{4}\times12+14   }
  5. \bf{30-7=\dfrac{3\times12}{4}+14   }
  6. \bf{30-7=\dfrac{36}{4}+14   }
  7. \bf{30-7=9+14   }
  8. \bf{23=9+14 }
  9. \bf{23=23}

Checked ✅

3 0
2 years ago
A box that measures 15 inches by 5 inches by 3 inches.
tino4ka555 [31]

Answer: cubic inches.

Step-by-step explanation: When calculating volume, all of the units must be cubed. And all of the measurements are in inches.

6 0
3 years ago
Read 2 more answers
What is 8 minus the quotient of 15 and y
DerKrebs [107]
You would end up with an equation of 8 - y/15.
6 0
3 years ago
First, rewrite 17/25 and 13/20 so that they have a common denominator. Then, use to order 17/25 and 13/20
Elenna [48]

Answer:

The common denominator is 100 because they dont have a number lower so 20*5 is 100 and 25*4 gives you 100

Step-by-step explanation:

4 0
3 years ago
Which property is used in the statement? <br> If z=3+1, then 3+1=z
saul85 [17]
This is the symmetric property of equality, and in a more general form it can be written  as: if a=b then b=a.

This  is not to be confused with communicative property,  which says that the order doesn't  matter in some operations, such as addition, and can be written as a+b=b+a



6 0
3 years ago
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