It takes emily eight hours to paint her house. mike can paint the same area in nine hours. find how long it would take them if they worked together.
group of answer choices

3.56 hours

7.58 hours

15.34 hours

4.24 hours

4.24 hours

Step-by-step explanation:

It takes Emily eight hours to paint her house, then her unit rate is:

(1 house)/(8 hours)  = 0.125 house/hour

Analogously, Mike unit rate is:

(1 house)/(9 hours)  = 0.111 house/hour

If they work together their unit rates are added to get a combined unit rate as follows (units are omitted):

0.125 + 0.111 = 1/x

0.236 = 1/x

x = 4.24 hours

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

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