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11Alexandr11 [23.1K]
3 years ago
8

A quantity decreases from 35 to 30 ? What is the percent change ?

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
8 0

Answer:

percentage change=14.29%

Step-by-step explanation:

<em>Original</em><em> </em><em>amount</em><em>=</em><em>3</em><em>5</em>

<em>Decreased</em><em> </em><em>amount</em><em>=</em><em>3</em><em>0</em>

<em>change</em><em> </em><em>in</em><em> </em><em>amount</em><em>=</em><em>5</em>

<em>cha</em><em>n</em><em>g</em><em>e</em><em> </em><em>in</em><em> </em><em>%</em><em>=</em><em> </em><em>5</em><em>*</em><em>1</em><em>0</em><em>0</em><em>/</em><em>3</em><em>5</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>5</em><em>0</em><em>0</em><em>/</em><em>3</em><em>5</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>1</em><em>4</em><em>.</em><em>2</em><em>9</em><em>%</em><em> </em><em>approx</em>

yuradex [85]3 years ago
7 0

Answer:

14.28%

Step-by-step explanation:

1) you have many different formulas for % change the one i'm using is :

n\frac{n-o}{o} =\frac{-x}{100\\}

n= new quantity

o=old quantity

-x= % change(since the quantity decreases the numerator will be negative)

so

\frac{30-35}{35} =\frac{-x}{100}

30-35=-5

\frac{-5}{35} =\frac{-x}{100}

cross multiply:

-500=-35x

divide on both sides:

14.285=x

hope this helps!

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\bold{\huge{\red{\underline{Solution}}}}

\bold{\underline{ Given :- }}

  • We have given two figures that rectangle and parallelogram
  • The base and height of parallelogram is 7ft and 5ft
  • The length and breath of rectangle is 3ft and 1ft .

\bold{\underline{ To \: Find :- }}

  • We have to find the area of shaded part?

\bold{\underline{ Let's \: Begin :- }}

Firstly, we will calculate the area of parallelogram then area of rectangle after that we will subtract the area of rectangle from the area of parallelogram then we got the area of shaded part.

\sf{\pink{Area \:of\: parallelogram = Base * height }}

\sf { = 7 × 5 }

\sf { = 35ft }

\sf{ Thus,  \:The \:area\: of \:parallelogram\: is \:35ft}

\sf{\underline{ Now}}

\sf{\blue{Area\: of\: rectangle = L × B }}

\sf{ = 3 × 1 }

\sf{ = 3ft}

\sf{Thus, \:The\: Area\: of \:rectangle\: is\: 3ft}

\sf{\underline{ Now}}

\sf{ Total\: area \:of \:shaded\: part }

\sf{ Area\: of\: parallelogram - Area\: of\: rectangle }

\sf{ = 35 - 3}

\sf{ = 32 ft}

\bold{\pink{Hence, \: Area\: of \:shaded\: part \:is\: 32ft}}

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D

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The volume of the smaller prism is 41.8 ft³.

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