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tatyana61 [14]
3 years ago
11

The length of a rectangle is 1 more than 3 times the width. 5 times the length is 45 more than the perimeter. Find the dimension

s.
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

width = w

length= 3w+1

perimeter= 5(3w+1) -45

perimeter     =   2(l+b)

5(3w+1) -45 = 2{(3w+1)+w}

  15w  - 40   =  8w+2

             6w  = 42

               w  =7

therefore width = <u>7</u>

 length= 3w+1  =  <u>22</u>

perimeter=  <u>65</u>

Step-by-step explanation:

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A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Late
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Answer:

The clearance price is $17.28.

The clearance price will not give the store any profit.

Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

\text{Price of the hat after an increase of 60\%}=20+(\frac{60}{100}*20)

\text{Price of the hat after an increase of 60\%}=20+(0.60*20)

\text{Price of the hat after an increase of 60\%}=20+12

\text{Price of the hat after an increase of 60\%}=32

So, the price of hat after the increase of 60% will be $32.

As the sale reduces the price of hat by 10%, so the price of hat after sale will be:

\text{Price of the hat after sale of 10\%}=32-(\frac{10}{100}*32)

\text{Price of the hat after sale of 10\%}=32-(0.10*32)

\text{Price of the hat after sale of 10\%}=32-3.2

\text{Price of the hat after sale of 10\%}=28.8

So the price of hat after 10% sale will be $28.8.

As the clearance sale reduces the price by 40%, so price of hat after clearance sale will be 28.8 minus 40% of 28.8.

\text{Price of the hat after clearance sale}=28.8-(\frac{40}{100}*28.8)

\text{Price of the hat after clearance sale}=28.8-(0.40*28.8)

\text{Price of the hat after clearance sale}=28.8-11.52

\text{Price of the hat after clearance sale}=17.28

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

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Step-by-step explanation:

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Lets say that Williams current age is x, since it is currently unknown
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