3 years ago

How many 6-digit binary strings have the property that their second and fourth digits are 1s?

1 answer:

3 0

Fixing two of the bits leaves four remaining positions, each with two possibilities (0 or 1), so there are $2^4=16$ possible strings.

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shirley owns a diner. she decides to charge $1.50 for 2 egga and one piece of toast a $.90 for one egg and one piece of toast. w

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Answer:

1 toast costs $0.30 and 1 egg cost $0.60

Step-by-step explanation:

Let price of 1 egg be $e$ and price of 1 toast be $t$

<u>"$1.50 for 2 eggs and one piece of toast":</u>

We can write $2e+t=1.50$

<u>"$.90 for one egg and one piece of toast":</u>

We can write $e+t=0.90$

Now, we can solve the first equation for t and substitute that into 2nd equation and solve for e:

$t=1.50-2e\\Also\\e+t=0.90\\Substituting:\\e+(1.50-2e)=0.90\\e+1.50-2e=0.90\\-e=0.90-1.50\\-e=-0.6\\e=0.6$

Now using the value of e (0.6) and putting it back in the first equation, we will get t:

$2e+t=1.50\\2(0.6)+t=1.50\\1.2+t=1.50\\t=1.50-1.20\\t=0.30$

Hence, 1 toast costs $0.30 and 1 egg cost $0.60

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