1.today, both the soccer team and the basketball team had games. the soccer team plays every 3 days and the basketball team plays every 5 days. when will both teams have games on the same day again? 2. a manager at a restaurant can buy hamburger buns in packages of 8 and hamburger patties in packages of 6. suppose the manager cannot buy part of a packages. what is the least number of packages of each product he can buy to have an equal number of hamburger patties and buns? 3.darion can save 9 dollars every day while denzel can save 12 dollars. what is the least number of days it will take each person to save the same amount of money? 4.a radio station plays the number one rap song by a popular artist once every 2 days. another station plays the same song once every 3 days. how many times in 30 days will both radio stations play the same song on the same day? 5.a train to new york city leaves a station every 7 minutes. another train to boston leaves the station every 6 minutes. in how many minutes will both trains leave the station together?

The calculations are done below.

Step-by-step explanation:  The calculations are as follows

(1) Number of days after which both the teams will have the game on the same day again = LCM (3,5) = 15 days.

(2)  We have,  LCM (8,6) = 24.

So, number of packages of hamburger buns = 24/8 = 3,

and number of packages of hamburger patties = 64/6 = 4.

(3) We have, LCM(9,12) = 36.

So, least number of days Darion take = 36/9 = 4 days, and

least number of days that Denzel take = 36/12 = 3 days.

(4) We have LCM (2,3) = 6.

So, the number of times they both play the songs in 30 days = 30/6 = 5 times.

(5) The number of minutes in which both the trains will leave the station together = LCM (7,6) = 42 minutes.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

you save $70

discount would be 35% off

step-by-step explanation: