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katrin2010 [14]
1 year ago
15

James buys a new sofa for $940. If the sales tax is 6.5%, what will be his total cost

Mathematics
1 answer:
WINSTONCH [101]1 year ago
8 0

To get the total cost. Given the cost of the sofa to be

\text{ \$940}

We will first find the amount of the tax paid, we will find 6.5% of the sofa

6.5\text{ \% of \$940}

This will be

\frac{6.5}{100}\times940=\frac{6110}{100}=\text{ \$61.10}

The final step will be to add up the tax and that of the sofa

\text{ \$940+ \$61.1= \$1001.1}

Therefore, the total cost will be

\text{ \$1001.1}0

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SashulF [63]
<h2><u>Requi</u><u>red</u><u> Answer</u><u> </u><u>:</u><u>-</u></h2>

Given system of linear equations are ,

  • x + y = 2
  • -3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}

<u>→</u><u> </u><u>Multipl</u><u>ying</u><u> </u><u>equⁿ</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>by</u><u> </u><u>3</u><u> </u><u>,</u>

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

<u>→</u><u> </u><u>Addin</u><u>g</u><u> </u><u>the</u><u> </u><u>two</u><u> </u><u>equations </u><u>,</u><u> </u>

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

<u>→</u><u> </u><u>Put</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>in</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>,</u>

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

<h3><u>★</u><u> </u><u>Hence</u><u> the required solution is ( 0 , 2 ) .</u></h3>
7 0
3 years ago
Please help! Please let me know if you need a better picture.
Dmitriy789 [7]

Answer:

-2

Step-by-step explanation:

First you should write out the entire word equation into one you may recongnize:

7x - 12 = -3x - 32

After this, solve for x:

7x + 3x = 12 - 32

<u>10x</u> = <u>-20</u>

10      10

x = -2

the number is -2

5 0
3 years ago
Is 117.93 greater than or less than 117.859
siniylev [52]
It's greater than 117.859. Hope this helps
6 0
3 years ago
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Y wants to buy three shirts which war originally priced $49.96 each the store will discount the price of the third shirt and the
Tanya [424]

The main cost will be 142.69.


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3 years ago
What is an equation of the line that passes through the points (-8, 1) and(7,1)?
likoan [24]

Answer:

y=1

Step-by-step explanation:

you can use those points to find the slope

use the equation \frac{y_{1} - y_{2}}{x_{1}-x_{2}} then plug in the numbers

so (1-1)/(-8-7) = 0/15 so the slope is zero meaning it is a horizontal line which we can tell logically because the y coordinates of both points are 1.

so if you plug those numbers into the formula y=mx+b where m is slope and b is the y intercept then

you get y=0*x+1

then 0*x is just zero and it goes away so the equation for this line is y=1

Hope this helps! :)

8 0
2 years ago
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