You are employed as the office manager at Clover Point Pediatries, Your job requires you to take on many responsibilities. One of these is to
arrange for the annual clinic party. This year, you have been given
permission to rent a banquet room at a local hotel, hire a caterer, and hire
a disc jockey for entertainment. There are 23 employees and each will be
bringing one guest (46 total), Answer the following:
The entertainment costs $100,00 an hour, and entertainment will be
held from 7:00 pm, to midnight. What will this cost?
520

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  $500

Step-by-step explanation:

There are 5 hours from 7 pm to midnight. At $100 per hour, the cost will be ...

  ($100/h)(5 h) = $500

The entertainment will cost $500.

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)