Express the following as a single discount rate.30.  what is the selling price of an article that lists at $1,500 subject to discounts of 40%, 25%, and 10%? (you may use the method described in “check your selling price.”)31.  what is the discount on $640 if the discount rates are 25%, 10%, and 5%?

Step-by-step explanation:

Part A. What is the selling price of an article that lists at $1,500 subject to discounts of 40%, 25% and 10%.

As we know that 40% is equivalent to

The formula of percentage = Original price × discount in percentage/100

So   × 1,500 =

= 0.40 × 1,500 = $600

So the selling price after 40% discount will be 1,500 - 600 = $900

25% of $1,500 = × 1,500

= 0.25 × 1,500 = $375

So the selling price after 25% discount will be = 1,500 - 375 = $1,125

10% discount of $1,500

= × 1,500

= 0.10 × 1,500 = $150

The selling price after 10% discount is 1500 - 150 = $1,350

Part B. What is the discount on $640 if the discount rates are 25%, 10% and 5%.

25% of 640

× 640

= 0.25 × 640 = $160

Discount of 25% on $640 is $160.

Discount of 10% on 640

× 640

= 0.10 × 640 = $64

Discount of 10% on $640 is $64.

5% discount on $640

× 640

= 0.05 × 640 = $32

Discount of 5% on $640 is $32.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

imma say 16%. sorry if its wrong. i'm doing the same stuff right now

step-by-step explanation: