Answer:
3x+2y <=30
3x represents the roses, because each rose is 3 dollars. 2y represents the carnations, because each carnation is 2 dollars. The total amount of money spent (3x+2y) should be less than or equal to 30 dollars, since the problem says that she does not want to spend more than 30 dollars.
Hope this helps!
Answer:
E = 120
F = 60
G = 120
H = 60
Step-by-step explanation:
The sum of any arithmetic sequence is the average of the first and last terms times the number of terms.
Any term in an arithmetic sequence is:
a(n)=a+d(n-1), where a=initial term, d=common difference, n=term number
So the first term is a, and the last term is a+d(n-1) so the sum can be expressed as:
s(n)(a+a+d(n-1))(n/2)
s(n)=(2a+dn-d)(n/2)
s(n)=(2an+dn^2-dn)/2
However we need to know how many terms are in the sequence.
a(n)=a+d(n-1), and we know a=3 and d=2 and a(n)=21 so
21=3+2(n-1)
18=2(n-1)
9=n-1
10=n so there are 10 terms in the sequence.
s(n)=(2an+dn^2-dn)/2, becomes, a=3, d=2, n=10
s(10)=(2*3*10+2*10^2-2*10)/2
s(10)=(60+200-20)/2
s(10)=240/2
s(10)=120
Answer:
2/23 or about 8.6%
Step-by-step explanation
Add the number of students
Basketball+baseball+neither
5+15+5=25
Subtract the number from the number of students in the class
25-23=2
This means that there are two students who play both.
Then phrase the number as a probability fraction.
2/23
