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Murrr4er [49]
3 years ago
14

You have towels of 3 sizes. The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second. The leng

th of the third towel makes up 5/12 of the lengths of the first 2. What part of the length of the third towel is the length of the second towel?
Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0

\frac{3}{2} part of length of the third towel is the length of the second towel

<em><u>Solution:</u></em>

Given that You have towels of 3 sizes

Length of the first towel = \frac{3}{4} meter

The length of one of them is equal to 3/4m, which makes up 3/5 of the length of the second.

Length of the first towel = \frac{3}{5} \times \text{ length of second towel }

\frac{3}{4} = \frac{3}{5} \times \text{ length of second towel }\\\\\text{length of second towel }= \frac{5}{4}

The length of the third towel makes up 5/12 of the lengths of the first 2.

\text{ length of the third towel }= \frac{5}{12} \times (\text{ length of first towel + length of second towel)}

\text{ length of the third towel }= \frac{5}{12} \times (\frac{3}{4} + \frac{5}{4}) = \frac{5}{12} \times 2 = \frac{5}{6}

To find: What part of the length of the third towel is the length of the second towel ?

Ratio of second to third towel length = \frac{\frac{5}{4}}{\frac{5}{6}}=\frac{5}{4} \times \frac{6}{5}=\frac{3}{2}

Thus 3/2 part of length of the third towel is the length of the second towel

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Answer:

x  =  1,5 cm

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Step-by-step explanation:

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Aea of the top is equal to area of the base,

Let call  " x " side of the base then as it is square area is A₁ = x²

Sides areas are 4 each one equal to x * h  (where h is the high of the box)

And volume of the box is   13,5 cm³  = x²*h

Then   h  =  13,5/x²

Side area is :  A₂ =  x* 13,5/x²

A(b)  = A₁  + A₂

Total area of the box as functon of x is:

A(x)  = 2*x²  + 4* 13,5 / x

And finally cost of the box is

C(x)  = 10*2*x²   +  2.50*4*13.5/x

C(x)  = 20*x²  +  135/x

Taking derivatives on both sides of the equation:

C´(x)  =  40*x   -  135*/x²

C´(x)  = 0     ⇒      40*x   -  135*/x² = 0    ⇒  40*x³ = 135

x³  = 3.375

x  = 1,5 cm

And   h  =  13,5/x²     ⇒   h  =  13,5/ (1,5)²

h = 6 cm

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C(min)  = 45  +  90

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3 years ago
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Answer:

$218.70

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You need to first convert the percentage to the decimal.

20% = 0.2

Now, you need to find 20% of each bill by multiplying each bill by 0.2.

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Because of the distributive property, you can add up the bills and multiply the sum by 0.2.

0.2(185.45 + 205.20 + 195.05 + 245.80 + 262.00)

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4 0
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Answer:

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Step-by-step explanation:

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