The radio station in North Pole, AK plays Christmas songs all day and night from Thanksgiving through Christmas. They play 12 per hour for 15 hours a day, and 8 songs per hour for the rest of the day. They like to have a mix of traditional and modern songs with a relationship of 9 traditional songs to every 5 modern songs. How many traditional songs and how many modern songs will they play in one day?

Traditional = 162

Modern = 90

Step-by-step explanation:

Given that:

12 songs per hour for 15 hours

8 songs per hour for the rest of the day ; (24 - 15) = 9 hours ;

That is ; 8 songs per hour for 9 hours

Total number of songs played per day :

(12 * 15) + (8 * 9) = 252 songs

If songs are mixed using the ratio 9:5 (traditional : modern)

Traditional songs :

(9 * 252) / (9 + 5) = 162

Modern songs :

(5 * 252) / (9 + 5) = 90

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

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step-by-step explanation: