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nasty-shy [4]
3 years ago
6

Sonic claims to have 1,073,953 drink combinations. 13 base drinks and 26 flavor add ins. If you select 1 base and 1 flavor . How

many different options do you have.
Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Answer:

338 different options we will have to choose from.

Step-by-step explanation:

Number of base drinks = 13

Numbers of flavors = 26

If we can  select 1 base and 1 flavor.

For every base drink we have 26 flavors.

Then for each 13 base drinks we will have 26 flavors.

So, number of options if we have If we select 1 base and 1 flavor:

13\times 26 =338

338 different options we will have to choose from.

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Answer:

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Let d = distance (in miles)

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Using:  distance = speed x time

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We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1

Now all we have to do is solve the equation for v:

\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1

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\implies 18v+270+18v=v^2+15v

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\implies (v-30)(v+9)=0

\implies v=30, v=-9

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

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