Marcy has $150 to buy packages of hot dogs, d, and hamburgers, b, for her booth at the carnival. at her grocery store she found packages of hot dogs cost $6 and packages of hamburgers cost $20. (a) write an equation that can be used to find the possible combination of hot dog and hamburger packages marcy can buy using her budget of exactly $150. (b) solve the equation for d. (c) solve the equation for b.

(a)

(b)

(c)

Step-by-step explanation:

We have been given that Marcy has $150 to buy packages of hot dogs (d) and hamburgers (b) for her booth at the carnival.

(a) We have been given that the cost for one package of hot dogs is $6, so the cost for d packages of hot dogs will be 6*d.

We are also told that cost for one package of hamburgers is $20, therefore, cost for b packages of hamburgers will be 20*b.

To write an equation that can be used to find the possible combination of hot dog and hamburger packages Marcy can buy using her budget of exactly $150, we will equate the sum of 6*d and 20*b with 150.

Therefore, our desired equation will be .

(b) We will solve for one unknown in terms of other unknown. We can solve our equation for d in terms of b by separating d to one side of our equation.

First of all we will subtract 20*b from both sides of our equation.

Now we will divide both sides of our equation by 6.

Therefore, we can write the value of d as: .

(c) We will solve for one unknown in terms of other unknown. We can solve our equation for b in terms of d by separating b to one side of our equation.

First of all we will subtract 6*d from both sides of our equation.  

Now we will divide both sides of our equation by 20.        

Therefore, we can write the value of d as: .

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

127

whether it's diameter, or radius, i believe if i remember correctly from school, every amount has to always add up to 180. so if you take 53, and starting adding, long story short, taking 127 and adding it to 53, gives you 180.