A camping ground began with 240 pounds of food and each day consumed about 12 pounds. After how many days did they have 180 pounds left

5 days

Step-by-step explanation:

Set up linear equation; food= 240-12(day) f=240-12d

f(1)=240-12(1)=240-12=228

f(2)=240-12(2)=240-24=216

Now set food to equal 180, solve for days:

180=240-12d

-240  -240

-60=-12d

/-12  /-12

5=d

To check: f(5)=240-12(5)=240-60=180

i can't see the picture : /

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)