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Alexxx [7]
3 years ago
12

The regular price of a smart phone is represented by x. When an upgraded phone is released, the new price is 25% more than the o

lder model. The upgraded phone's price can be represented by which expression?
A) .25x
Eliminate
B) 1.25x
C) 1.75x
D) x + .75x
Mathematics
2 answers:
Alex73 [517]3 years ago
6 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Regular price of a smart phone  be x

According to question, the new price is 25% more than the older model.

So, New price becomes

\frac{100+25}{100}\times x\\\\=\frac{125}{100}\times x\\\\=1.25\times x\\\\=1.25x

The upgraded phone's price can be represented by 1.25x.

Hence, Option 'B' is correct.

VARVARA [1.3K]3 years ago
3 0
1.25x

because 25% can be represented as 0.25. so as the new price would be 125% of the old one its 1.25x
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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 ✅

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Answer:

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Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).
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<h2>Equations of Circles</h2>

Generally, you'd see the equation of a circle organized in the following format:

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To determine the equation given the center and the radius:

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We're given:

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Plug the radius and center into the equation as r and (h,k):

(x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801

<h2>Answer</h2>

(x+1)^2+(y+8)^2=9801

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