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Paul [167]
3 years ago
14

%100 is shown on the following tape diagram. What percent is represented by the entire tape diagram?

Mathematics
2 answers:
maxonik [38]3 years ago
8 0
100% is shown on the diagram
MAVERICK [17]3 years ago
5 0

Answer

300

Step-by-step explanation:

The answer would be 300 because if you look at the first shaded and you see that it's worth 300% you can auotmatically assume that if you shade in 2 more it'll be 300%.

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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 circled circumference is approximately 44cm
Sindrei [870]

Answer:

1. The circle’s radius is approximately 14 cm.

2. The circle’s radius is approximately 7 cm.

3. The circle’s area is approximately  154 cm2

Question:a circled circumference is approximately 44cm

Complete each statement using one of these values : 7,11,14,22,88,138,154,196,380,616, Answers without letters: 1. 14cm  2. 7cm 3. 154 cm2

4 0
3 years ago
Determine if the two triangles are congruent
8090 [49]
They are not congruent. Hope this helped!
6 0
3 years ago
Which rate represents 400 compliments for<br> every 850 reviews?
nirvana33 [79]
8 compliments/ 17 reviews
5 0
3 years ago
What is the following sum? 4 sqrt 5 + 2 sqrt 5
Leya [2.2K]
The rule is a \sqrt{b}+c \sqrt{b}=(a+c) \sqrt{b}, so

4 \sqrt{5}+2 \sqrt{5}  = 6 \sqrt{5}
8 0
3 years ago
Read 2 more answers
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