Mathematics: An Amazon packaging plant can ship 315 packages in 7 hours. What is the constant of proportionality that relates the number of packages shipped, y, to the number of hours, x?

An Amazon packaging plant can ship 315 packages

Rainbowface33

11.02.2022

constant of proportionality is 45 packages an hour.

Step-by-step explanation:

you do 315 divided by 7. the x is hours and the y is packages.

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queenskyyt

25.03.2023

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by p_1, p_2,...,p_9 , and all the sweet dishes by q_1,q_2,...,q_5 .

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with q_1 from sweet plates which are (q_1, p_1), (q_1, p_2), ..., (q_1,p_9).

There are 9 plates with q_2 from sweet plates which are (q_2, p_1), (q_2, p_2), ..., (q_2,p_9).

Similarly, there are 9 plated for each q_3, q_4 and q_5.

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

$= 9+9+9+9+9= 9\times5=45$

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