Prove the following :
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see below

Step-by-step explanation:

we are given

we want to prove it algebraically

to do so rewrite 30:

let 29 be a thus substitute:

factor the denominator:

Factor out a²:

factor out 1:

group:

reduce fraction:

substitute back:

simplify substraction:

hence Proven

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw