Answer:
a) (C∪P)-B
b) (U-B)∩(U-C)∩(U-P)
c) B∩C∩P
d) P-(B∪C)
e) (B∪C)-P
Step-by-step explanation:
We can use three operations between sets:
- Union: X∪Y is the set of elements that belong to X or belong to Y
- Intersection: X∩Y is the set of elements that belong to X and belong to Y
- Difference: X-Y is the set of elements that belong to X and NOT belong to Y.
The sets we can use in each part are U,B,C and P
a) A customer that likes corn dogs belongs to C, and a customer that likes pizza belongs to P, then a customer who likes corn dogs or pizza belongs to C∪P. The customers from this problem do not like burgers, so they don't belong to B. From this, the required set is (C∪P)-B
b) The customers do not like burgers, so they do not belong to B. However, they visit the restaurant so they belong to U. Thus, the customers belong to U-B. Similarly, because the customers do not like corn dogs and do not like pizza, they belong to U-C and U-P. Then the set of customers is (U-B)∩(U-C)∩(U-P).
c) The customers are in B, C and P so they belong to B∩C∩P.
d) The customers belong to P (they like pizza) but they do not belong to (B∪C), thus they belong to P-(B∪C)
e) The customers belong to B∪C but they do not belong to P, so the required set is (B∪C)-P.
Answer:
C. 594 > -11n
Step-by-step explanation:
i took the test on edgen
Answer:
$284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Step-by-step explanation:
Firstly, to calculate the portions each class should have, we should find the proportion each class takes up.
Hence, let's say A represents Mr. Aceves' class, B represents Mrs. Baca's class, and C represents Mr. Canyon's class.
The total number of box tops collected would be 3760 + 2301 + 1855 = 7916 box tops.
Therefore, the total proportions would be:
A = 
B = 
C = 
Hence, we can finally multiply these proportions with the total prize to find the appropriate division:
Mr. Aceves' class gets 
.
Mrs. Baca's class gets 
.
And Mr. Canyon's class gets 
.
Finally, $284.99 should go to Mr. Aceves’ class, $174.41 should go to Mrs. Baca’s class, and $140.60 should go to Mr. Canyon’s class.
Hope this helped!
Answer with Step-by-step explanation:
(3.a) GCD(343,550), LCM(343, 550).
343=7×7×7
550=5×5×2×11
GCD(343,550)=1
LCM(343,550)=7×7×7×5×5×2×11=188650
(3.b) GCD(89, 110), LCM(89, 110).
89=1×89
110=5×2×11
GCD(89, 110)=1
LCM(89, 110)=89×5×2×11=9790
(3.c) GCD(870, 222), LCM(870, 222).
870=2×3×5×29
222=2×3×37
GCD(870, 222)=2×3=6
LCM(870, 222)=2×3×5×29×37=32190
