Answer:
65.63 cm or 65 5/8 cm
Step-by-step explanation:
volume of a rectangular prism = whl
w= 7 1/2
h = 2 1/2
l = 3 1/2
w x h x l
Answer:
180,000 people
Step-by-step explanation:
2/5= 0.4
0.4x450,000=180,000
Step-by-step explanation:
sin theta = opp / hyp
sin theta × hyp = opp
sin60 × 30 = opp
.866 × 30 = opp
25.98° = opp
*Theta is the 0 with a line through it
1.
If no changes are made, the school has a revenue of :
625*400$/student=250,000$
2.
Assume that the school decides to reduce n*20$.
This means that there will be an increase of 50n students.
Thus there are 625 + 50n students, each paying 400-20n dollars.
The revenue is:
(625 + 50n)*(400-20n)=12.5(50+n)*20(20-n)=250(n+50)(20-n)
3.
check the options that we have,
a fee of $380 means that n=1, thus
250(n+50)(20-n)=250(1+50)(20-1)=242,250 ($)
a fee of $320 means that n=4, thus
250(n+50)(20-n)=250(4+50)(20-4)=216,000 ($)
the other options cannot be considered since neither 400-275, nor 400-325 are multiples of 20.
Conclusion, neither of the possible choices should be applied, since they will reduce the revenue.
Answer: Fran's number is 70
Step-by-step explanation:
Let x represent Jen's number.
Let y represent Carrie's number.
Let z represent Fran's number.
When you add their numbers together you get 207. This means that
x + y + z = 207 - - - - - - - - - -1
Jen's number is 9 more than Carrie's number. It means that
y = x - 9
Fran's number is 3 less than Jen's number. It means that
z = x - 3
Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.
x + x - 9 + x - 3 = 207
3x - 12 = 207
3x = 207 + 12 = 219
x = 219/3 = 73
y = x - 9 = 73 - 9
y = 64
z = x - 3 = 73 - 3
z = 70
