For every 24 minutes of
television there are 6
minutes of commercials.
how many minutes of
commercials are there in
48 minutes of television?

12 minutes of commercials.

Step-by-step explanation:

If there are 6 minutes of commercials every 24 minutes of  television, then there will be 12 minutes of commercials every 48 minutes of  television.

How

24 × ? = 48

6 × ? = ?

24 × 2 = 48

6 × 2 = ?

6 × 2 = 12

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5/6

step-by-step explanation:

if i remember correctly with perpendicular stuff you just take away the negative

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)