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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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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
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ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

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Answer:

The perimeter of the polygon = 18 units

The area of the polygon will be A=18 square units

Step-by-step explanation:

<u><em>Computing the Perimeter of the Polygon: </em></u>

Considering the polygon with vertices

  • W (11,2)
  • X (11,8)
  • Y (14,8)
  • Z (14,2)

As the polygon is drawn in coordinate plane as shown in figure a.

From the attached figure a, we can observe that

  • The length of the side WZ = 3 units
  • The length of the side ZY = 6 units
  • The length of the side WX = 6 units
  • The length of the side XY = 3 units

So, the perimeter of the polygon can be calculated by taking the sum of the lengths of all sides i.e.

The perimeter of the polygon = WZ + ZY + WX + XY

                                                  = 3 + 6 + 6 + 3

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<u><em>Computing the Area of the Polygon: </em></u>

Area can be calculated by multiplying the length and width of the polygon.

A=lw

So, the area will be:

A=lw

A=(3)(6)

A=18

Therefore, the area of the polygon will be A=18 square units

Keywords: area, perimeter, polygon

Learn more about area and perimeter from brainly.com/question/2328840

#learnwithBrainly

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