Apair of boots originally priced at $129.99 were on sale for $103.99.
a) find the percent discount to the nearest tenth.
b) what sale price would represent a 25% discount from the original price?

pl

a) 20% rounded

b) $97.49

Step-by-step explanation:

a) $129.99 is the original price and represent 100% of the price for the item. When the item goes on sale for 103.99, it has been marked down x percent from 100%. To find this percent, write a proportion with these values:

Sole for x to find the percent you pay by cross multiplying numerator and denominator of each fraction.

103.99(100)=129.99(x)

10399=129.99x

79.99=x

80=x

b) If the discount is 25% then you pay 75% of the original price. Since the original price is 129.99 then you pay 0.75(129.99) = 97.49. You would pay $97.49.

This means you 80% of the original price and you receive as a discount the rest of the 20%.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .