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zimovet [89]
3 years ago
15

Write the following using algebraic notation, using the letter x for any unknown numbers:

Mathematics
1 answer:
Furkat [3]3 years ago
7 0

Answer:

a) The  algebraic notation is     4 ( x -3 ) = 4x -3

b)  The algebraic notation is 2x +2

Step-by-step explanation:

<u><em>Explanation:-</em></u>

a)

Let 'x' be the number

Given 'x' is a number, subtract three

⇒ x - 3   and multiply '4'

The result of algebraic is     4 ( x -3 ) = 4x -3

b)

<em>Let 'x' be a number and add one</em>

⇒ (x+1) and then double

∴ The algebraic notation is

    (x+1 ) (2) = 2x +2

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3 years ago
Skyscraper Windows
Musya8 [376]

Answer:

A.) $2,166

B.) $10,545

C.) (n/2)(3.5 + 0.5n) × 38

Step-by-step explanation:

Floor - - - - - - - - - - 1 - - - - - - - 2 - - - - - - - 3

Cost / window - - $2.00 - - - $2.50 - - - $3.00

Cost of washing first floor = $2 × 38

Cost of second floor is: (2 + 0.5) × 38

Cost of third floor is: (2 + 2 × 0.5) × 38

Cost of n floor : (2 + (n - 1) × 0.5) × 38

Therefore,

Total cost :

(2 + (2 + 0.5) + (2 + 2*0.5) + ... + (2 + (n - 1)*0.5)) × 38

Using Arithmetic progression for the sequence :

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first term 'a' = 2; common difference 'd' = 0.5

Sum of the first n terms of arithmetic sequence terms is:

S = (n/2)(2a + (n - 1)d) ; Where a = 2 and d = 0.5

S = (n/2)(2*2 + (n - 1)*0.5)

S = (n/2)(4 + 0.5n - 0.5)

S = (n/2)(3.5 + 0.5n)

To wash all windows with n stories :

S × 38 windows

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n = 12

(12/2)(3.5 + 0.5(12)) × 38

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n = 30

(30/2)(3.5 + 0.5(30)) × 38

15(3.5 + 15) × 38 = $10,545

C.) If building is n stories tall :

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4 0
3 years ago
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