The answer is
carrots - 0.8 pounds
crackers - 1.5 pounds
x - the weight of carrots
y - the weight of crackers
<span>The total weight was 2.3 pounds: x + y = 2.3
</span>
Carrots sell for $2.10 per pound: 2.10x
<span>Crackers sell for $2.90 per pound: 2.90y
</span><span>The total cost was $6.03: 2.10x + 2.90y = 6.03
</span>x + y = 2.3
2.10x + 2.90y = 6.03
_________
x = 2.3 - y
2.10x + 2.90y = 6.03
_________
2.10(2.3 - y) + 2.90y = 6.03
4.83 - 2.10y + 2.90y = 6.03
4.83 + 0.80y = 6.03
0.80y = 6.03 - 4.83
0.80y = 1.20
y = 1.20y : 0.80
y = 1.5 pounds
x = 2.3 - y = 2.3 - 1.5
x = 0.8 pounds
Answer:
A
Step-by-step explanation:
The sum of the exterior angles for each polygon is always 360°.
The sum of the interior angles for each polygon is always 180°(n-2).
If you have n-sided convex polygon, then

So,

So we see that the ratio between the two octagons is 7:1, since 28/4=7 so what we do next is multiply the values of the smaller octagon by 7. But that’s the long way. There’s actually a shortcut by multiplying the perimeter of the smaller octagon, 34, by 7. This in turn equals 238.
Answer:
39.34 juniors and 30.1 seniors
Answer:
Step-by-step explanation:
Leaving leap years, a year contains 365 days.
For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

a) Probability that exactly 3 people have same birthday = 
Each day is independent of the other
And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = 
Expected value of days = np = 
b) Distinct birthdays is binomail with p =1/365 and n = 365
Hence
expected value = np =1