To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
L = 4 + w
l/w = 7/5
l = 7w/5
7w/5 = 5 + w
7w = 25 + 5w
2w = 25
w = 12.5
l = 4 + 12.5
l = 16.5
the dimensions are 16.5 x 12.5 cm
Hello!
You read scientific notation by moving the decimal that amount of spaces next the the 10
1.263 * 10^3
You move the decimal over 3 places
1.263 * 10^3 = 1263
The answer is 1.263 * 10^3
Hope this helps!
Answer:
The perimeter of the rectangle is 18 units.
Step-by-step explanation:
The image included below presents the location of the points on the Cartesian plane. From Geometry we get that the perimeter (
), dimensionless, of the rectangle is the sum of its four sides. That is to say:
(1)
Where 
, 
, 
and 
are the sides of the rectangle, dimensionless.
Each side value is found by means of the Pythagorean Theorem:
![AB = \sqrt{[2-(-1)]^{2}+(1-1)^{2}}](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%5B2-%28-1%29%5D%5E%7B2%7D%2B%281-1%29%5E%7B2%7D%7D)
![BC = \sqrt{(2-2)^{2}+[(-5)-1]^{2}}](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%282-2%29%5E%7B2%7D%2B%5B%28-5%29-1%5D%5E%7B2%7D%7D)
![DA = \sqrt{(-1-1)^{2}+[1-(-5)]^{2}}](https://tex.z-dn.net/?f=DA%20%3D%20%5Csqrt%7B%28-1-1%29%5E%7B2%7D%2B%5B1-%28-5%29%5D%5E%7B2%7D%7D)
And the perimeter of the rectangle is:
The perimeter of the rectangle is 18 units.
write an equation for the purchase :
$12 + 2x + tax = $30.45
(12 +2x)* 1.05 = 30.45
solve for x to get
x = $8.5
the price of a pair of regular socks is $8.50
