Sam's rectangular garden measures 1 1 5 1 1 5 yards by 2 5 6 2 5 6 yards. His neighbor, Tess, has a rectangular garden that is 8 1 2 8 1 2 yards long and has a perimeter of 33 yards. What is the ratio of the area of Sam's garden to the area of Tess's garden?

3.4 : 104.125

Step-by-step explanation:

Sam's rectangular garden measures 1 1 /5 yards by 2 5 /6yards.

Area of Sam's garden = Length × Breadth

= 1 1/5 × 2 5/6

= 3 2/5 square yards

= 3. 4 square yards

His neighbor, Tess, has a rectangular garden that is 8 1 /2yards long and has a perimeter of 33 yards.

Perimeter = 2L + 2 W

2W = P - 2L

W = P - 2L/2

W = 33 - 8 1/2/2

W = 49/2 ÷ 2

W = 12 1/4 yards

Area of Tess Garden = Length × Width

12 1/4 × 8 1/2

= 104 1/8 square yards

= 104 .125 square yards

What is the ratio of the area of Sam's garden to the area of Tess's garden?

= Sam : Tess

= 3.4 : 104.125

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

add the table and i will answer correctly

step-by-step explanation: