a scarf is originally priced at $30.00. it is then discounted by 25%. several days later, it is discounted 10% off the new price. is the cost of the scarf the same as if the store had taken 35% off the original $30?

No.

You can prove it by doing the math.

No. I am not sure if I am suppose to give you the answer but if you calculate the percentages than you can see the answer.

To find out if the cost of the scarf is the same with two different discounts, we can compare the final prices.

First, let's calculate the discount and the new price after the first discount of 25%.

Discount: 25% of $30.00 = $30.00 * 0.25 = $7.50

New price after the first discount: $30.00 - $7.50 = $22.50

Now, let's calculate the discount and new price after the second discount of 10% off the new price:

Discount: 10% of $22.50 = $22.50 * 0.10 = $2.25

New price after the second discount: $22.50 - $2.25 = $20.25

So, after both discounts, the cost of the scarf would be $20.25.

Now, let's calculate the discount of 35% off the original price of $30.00:

Discount: 35% of $30.00 = $30.00 * 0.35 = $10.50

Cost of the scarf after the 35% discount: $30.00 - $10.50 = $19.50

Therefore, the cost of the scarf is not the same as if the store had taken a 35% off the original $30. The cost of the scarf after the two consecutive discounts is $20.25, which is slightly higher than the cost with the 35% discount of $19.50.