Hi there,
G = green beans
C = Cauliflower
B = broccoli
G + C = 55
C + B = 54
G + B = 56
G + B + C = 53
If 53 students ate all three, then 2 students ate just green beans and cauliflower (55-53)
If 53 students are all three, then 1 students ate just cauliflower and broccoli (54-53)
If 53 students are all three, then 3 students ate just green beans and broccoli (56-53)
So we have
53 eat G, B, C
2 eat G, C
1 eats C, B
3 eat G, B
---
59 students
Now, 59 students eat green beans, then 59-53-2-3= 1 eats green beans only
56 students eat cauliflower, then 56-53-2-1=0 no students eat just cauliflower
60 students eat broccoli, then 60-53-1-3 = 3 eat just broccoli
So now we have
53 eat G, B, C
2 eat G, C
1 eats C, B
3 eat G, B
1 eats G only
0 eat C only
3 eat B only
-----
63 students
But we have 64 students. So one student doesn't eat any of the three vegetables.
3 students eat green beans but not cauliflower
3 students do not eat broccoli (2 +1)
0 students eat only cauliflower
4 students eat exactly two of the three vegetables.
The equations are dependent (they're the same equation).
If you multiply the bottom one by 5, you get the top one.
You will save $20 by buying 364 for 7.
Answer:
9.5
Step-by-step explanation:
Answer:
remainder = 21
Step-by-step explanation:
If f(x) is divided by (x - h) then the remainder is f(h)
Here f(x) is divided by (x - 2) with h = 2 , then remainder is
f(2) = 4(2) + 3(2)² + 1 = 8 + 3(4) + 1 = 8 + 12 + 1 = 21