Jocelyn was given a box of assorted chocolates for her birthday. Each night, Jocelyn treats herself to some chocolates. The number of chocolates remaining in the box tt days after Jocelyn's birthday can be modeled by the equation C= -3t+30. What is the x-intercept of the equation and what is its interpretation in the context of the problem?

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Step-by-step explanation:

The "x-intercept" is the value of the independent variable (t, in this case) such that the value of the dependent variable (C) is zero. We can find it by solving the equation ...

  0 = C

  0 = -3t +30

  0 = -t +10  . . . . .  divide by 3

  t = 10 . . . . . . . . . add t

The value of t is the number of days Jocelyn has been eating the chocolates. When t=10, C =0. The number of chocolates remaining in the box will be zero after 10 days.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse