A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked. In 3 cartons (12 eggs each carton) 2 eggs are cracked.

The quality standard is violated.

Step-by-step explanation:

In 3 cartons of eggs no more than 2% are crack.

Let's find out how many eggs are in the 3 cartons.

(3)(12) = 36

There are 36 eggs in all 3 cartons. To find how many are supposedly cracked we need to multiply 36 by the decimal for of 2%.

To change a percent to decimal form we move the decimal of the percent twice to the left. So 2% turns in to .02.

Now, multiply:

(36)(.02) = 0.72

Not even 1 egg in all 3 batches should be cracked.

Therefore, the quality standard has been violated.

In order for the quality standard to be upheld there would have to be 100 eggs and only 2 of them be cracked.

I hope this helps!!

- Kay :)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

mr. india