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3 years ago

A room is 8.5 m long,6.5 m broad and 3.4 m high. It has two doors, each measuring (2 m 1m).Find the cost of painting its four wa

lls at £160 per m.

Mathematics

1 answer:

jok3333 [9.3K]3 years ago

7 0

$l=8.5m\\w=6.5m\\h=3.4m\\------------------\\Area\ of\ 4\ walls:A_w=2lh+2wh\\\\A_w=2\times8.5\times3.4+2\times6.5\times3.4=57.8+44.2=102\ (m^2)\\------------------------------\\Area\ of\ the\ 2\ doors:A_d=2\times2\times1=4\ (m^2)\\-----------------------------\\The\ area\ to\ be\ painted:A=A_w-A_d\\\\A=102m^2-4m^2=98m^2\\---------------------------\\The\ cost\ of\ painting:98\times\£160=\boxed{\£15,680}\leftarrow Answer$

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what number, when added to the numerator and to the denominator of $\frac{5}{8}$, results in a fraction whose value is 0.4?

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The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.

<h3>What is a fraction?</h3>

Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.

<h3>Calculation:</h3>

The given fraction is 5/8

Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.

So,

(5 + x)/(8 + x)

Since it is given that the result is 0.4 i.e., 4/10, we can write

(5 + x)/(8 + x) = 4/10

⇒ 10(5 + x) = 4(8 + x)

⇒ 50 + 10x = 32 + 4x

⇒ 10x - 4x = 32 - 50

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⇒ x = -18/6

∴ x = -3

Therefore, the required number is -3.

Check:

(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4

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1 year ago

One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o

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Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

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