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babunello [35]
3 years ago
12

The variable Z is directly proportional to X. When X is 3, Z has the value 57. What is the value of Z when X = 8

Mathematics
1 answer:
Olin [163]3 years ago
5 0
When x = 3 z = 57 57/3 = 19
19*8 = 152
So when X is equal to 8, Z is equal to 152.
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An electronics store makes a profit of $72 for every television sold and $90 for every computer sold. The manager’s target is to
exis [7]

the complete question in the attached figure

 

we have 

$72 ------------------------------------ > for every television sold

$90 ------------------------------------ > for every computer sold.

let 

x--------------------- > numbers of television sold

y--------------------- > numbers of computer sold 

then 

72x+90y >= $360 ----------- >72x/72+90y/72 >= $360 /72---- >x+1.25y >= $5

y >= (5-x)/1.25--------------see the graph in attached figure 

 

case A---------- > (5,2) (3,3)  (1,4)

72x+90y --------- > 72*5+90*2=540 >= 360----- > is solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

 

case B------------ >  (4,0) (2,2)  (1,1)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*1=162 < 360----- > is not solution

 

case C------------ >  (3,1) (2,2)  (1,0)

72x+90y --------- > 72*3+90*1=306 < 360----- > is not solution

72x+90y --------- > 72*2+90*2=324 < 360----- > is not solution

72x+90y --------- > 72*1+90*0=72 < 360----- > is not solution

 

case D------------ >  (4,0) (3,3)  (1,4)

72x+90y --------- > 72*4+90*0=288 < 360----- > is not solution

72x+90y --------- > 72*3+90*3=486 >= 360----- > is solution

72x+90y --------- > 72*1+90*4=432 >= 360----- > is solution

 

<span>the answer is case A </span>



4 0
3 years ago
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Answer:

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Step-by-step explanation:

hope this helped!

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3 years ago
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