You’ve just moved into a new home and are decorating it with furniture. You head to Target and see a dining room table for $425, but everything is on sale for 20% off. What is the amount of the discount? What is the cost of the table after the discount?

Amount of Discount: 85,  Discounted cost of item: 340

Step-by-step explanation:

You Start by dividing the main price of the item by 100

You then multiply your answer from that by however much the discount is.

We divide by 100 because there is 100 percent when you are paying full price, dividing by 100 gives you the amount that is equal to 1 percent of that price

You then multiply the answer from that by 20, this will give you 20% of the full price, this will give you a discount of 85 Dollars.  

To find the Discounted price you then subtract 85 from 425 and you will have an answer of 340 dollars.  Hope this helps!

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.