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Slav-nsk [51]
2 years ago
5

the length of a rectangle is 3 times its width. the perimeter is 55. find the length and width of the rectangle

Mathematics
1 answer:
Shkiper50 [21]2 years ago
4 0

Answer:

Step-by-step explanation: L= length    w= width   p= perimeter

L=3W         p=55CM

P. of rectangle= 2(l+w)=55cm

L+w= 55/2= 27.5 cm

3w+w=27.5cm

4w=27.5cm

w=27.5/4=6.875cm          w=6.875cm     L= 3w=6.875*3=20.625cm

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Answer:

when both bottom numbers on a fraction are the same at the lowest form

Step-by-step explanation:

example: 2/4 + 6/8 the common denomenator is 8 as both numbers go into it and you only have to times by 2 so answer would be 10/8 which is also 1 2/8

8 0
3 years ago
Select ALL the correct answers.
Marina CMI [18]

Answer:

The median of A is the same as the median of B.

The interquartile range of B is greater than the interquartile range of A.

Step-by-step explanation:

Given that:

A = number of runs allowed in first 9 games

A = {1, 4, 2, 2, 3, 1, 1, 2, 1}

Rearranging A : 1, 1, 1, 1, 2, 2, 2, 3, 4

Median A = 1/2(n + 1) th term

Median A = 1/2(10) = 5th term = 2

Q1 of A = 1/4(10) = 2.5th term = (1 + 1)/ 2 = 1

Q3 of A = 3/4(10) = 7.5th term = (2+3)/2 = 2.5

Interquartile range = Q3 - Q1 = 2.5 - 1 = 1.5

Number of runs allowed in 10th game = 9

B = {1, 4, 2, 2, 3, 1, 1, 2, 1, 9}

Rearranging B = 1, 1, 1, 1, 2, 2, 2, 3, 4, 9

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Median A = 1/2(11) = 5.5th term = (2+2)/2 = 2

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Q3 of A = 3/4(11) = 8.25th term = (3+4)/2 = 3.5

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Answer:

Amount of VAT paid by Jeremy is € 9.31 .

Step-by-step explanation:

As given

In Germany, VAT is at 19% .

Jeremy buys a calculator in Germany for €58.31


This price includes VAT.

Let us assume that the cost of calculator excluding tax is x .

19% is written in the decimal form .

= \frac{19}{100}

= 0.19

VAT Price = 0.19 × Cost price of calculator excluding VAT

                 = 0.19 × x

                 = 0.19x

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Cost of calaculator + VAT price = Cost of calculator including VAT

x + 0.19 × x = 58.31

x + 0.19x = 58.31

1.19x = 58.31

x = \frac{58.31}{1.19}

x = €49  (Approx)

Thus cost price of calculator excluding VAT is €49  .

VAT Price = 0.19 × Cost price of calculator excluding VAT

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