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GREYUIT [131]
3 years ago
15

Tate purchased a pair of slippers on the internet for a retail price of $16. After 6.5% sales tax, how much were the slippers?

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

$15.02

Step-by-step explanation:

Given data

Total cost= $16

tax= 6.5%

let the actual cost of the slippers be x

6.5/100*x+ x= 16

0.065x+x= 16

1.065x= 16

divide both sides by 1.065

x= 16/1.065

x= 15.02

Hence the actual cost of the slippers is $15.02

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Answer:

Option D:  - 6;  $ \textbf{-5}\frac{\textbf{5}}{\textbf{2}} $;   $ \textbf{-4}\frac{\textbf{1}}{\textbf{5}} $.

Step-by-step explanation:

The sequence is defined by:

$ A(n) = -6 + (n - 1)\bigg( \frac{1}{5} \bigg ) $

To find the first term of the sequence simply substitute n = 1.

First term of the sequence:

$ A(1) = -6 + (1 - 1)\bigg( \frac{1}{5} \bigg ) $

        $ = - 6 $

Fourth term of the sequence:

$ A(2) = -6 + (4 - 1) \bigg ( \frac{1}{5} \bigg) $

        $ = - 6 + 3\bigg( \frac{1}{5} \bigg) $

        $ = \frac{- 30 + 3}{5} $

        $ = \frac{-27}{5} $

        $ = \frac{-25 - 2}{5} $

        $ = - 5 - \frac{2}{5} $

        $ = -5\frac{2}{5} $   is the required answer.

Tenth term of the sequence:

$ A(10) = - 6 + (10 - 1) \bigg( \frac{1}{5} \bigg) $

         $ = - 6 + 9\bigg( \frac{1}{5} \bigg) $

         $ = \frac{-30 + 9}{5} $

         $ = \frac{-21}{5} $

         $ = \frac{-20 - 1}{5} $

         $ = - 4 - \frac{1}{5} $

         $ = -4\frac{1}{5} $  is the required answer.

       

       

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Scott threw the javelin 3 times farther than daniel threw the javelin. what is an expression for the distance scott threw the ja
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An expression for the distance Scott threw the javelin is, x = 3y

For given question,

Let x be the distance for Scott threw the javelin and y be the distance for Daniel threw the javelin.

We have been given a statement 'Scott threw the javelin 3 times farther than Daniel threw the javelin.'

We need to write given statement as a mathematical expression.

First we rewrite given statement as,

Scott threw the javelin 3 times farther than Daniel threw the javelin.

the distance Scott threw the javelin is 3 times the distance Daniel threw the javelin

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Therefore, an expression for the distance Scott threw the javelin is,

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