Answer:
Step-by-step explanation:
From the given information,
Suppose
X represents the Desktop computer
Y represents the DVD Player
Z represents the Two Cars
Given that:
n(X)=275
n(Y)=455
n(Z)=405
n(XUY)=145
n(YUZ)=195
n(XUZ)=110
n((XUYUZ))=265
n(X ∩ Y ∩ Z) = 1000-265
n(X ∩ Y ∩ Z) = 735
n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)
145 = 275+455 - n(X ∩ Y)
n(X ∩ Y) = 585
n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)
195 = 455+405-n(Y ∩ Z)
n(Y ∩ Z) = 665
n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)
110 = 275+405-n(X ∩ Z)
n(X ∩ Z) = 570
a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)
n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735
n(X ∪ Y ∪ Z) = 50
c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)
n(X ∪ Y ∪ C') = 145-50
n(X ∪ Y ∪ C') = 95
Answer:
0 —> 15
1 —> 13.75
2 —> 12.5
3 —> 11.25
Step-by-step explanation:
Every time she drives for 1 hour, the car uses up 1.25 gallons of gas. If she fills it up and doesn't drive anywhere, the car will still be full with 15 gallons. If she drives for an hour, you would need to subtract 1.25 from 15 which would equal 13.75.
Then if she drives another hour, then you would subtract another 1.25 from 13.75.
Or a quicker way to do it would be if you multiply the number of hours driven by the gallons used per hour then subtract it from the filled up tank.... So for example if she drove 3 hours —> 3•1.25=3.75 then 15-3.75=11.25
Answer:
13
Step-by-step explanation:
Throughout this pattern, each previous number is adding 3.
Hope this helps! :)
The system has one solution, x = 8, y = 3
