Answer:
Step-by-step explanation:
Plan A: 10 CDs costs $2.30, so 1 CD cost $0.23
Plan B: A package of 50 CDs cost $10.5, so 1 CD cost $1.05
0.23 < 1.05
Choose Plan A
2079 cubic meters because V=Bh so you multiply 21 and 11 to get B then you multiply B and 9 (h) to get your answer.
We simplify the equation to the form, which is simple to understand
5(3+k)=45
Reorder the terms in parentheses
+(+15+5k)=45
Remove unnecessary parentheses
+15+5k=+45
We move all terms containing k to the left and all other terms to the right.
+5k=+45-15
We simplify left and right side of the equation.
+5k=+30
We divide both sides of the equation by 5 to get k.
k=6
Answer:
Step-by-step explanation:
Probability is the possibility for an event to occur or not to occur.
The formula for a combination is:
n choose r = n! / (r! x (n-r)!)
Given
n=14
r= 11 to 13
Hence, we shall add up the cases for 11 through 13.
nCr
14C11 + 14C12 + 14C13
14!/11!(14-11)! + 14!/12(14-12)! + 14!/13(14-13)!
= 14!/11!•3! + 14!/12!•2! + 14!/13!•1!
= 14*13*12*11!/11!•(3*2*1) + 14*13*12!/12!•(2*1) + 14*13!/13!•(1*1)
= 2184/6+182/2+14/1
= 364+91+14
= 469 ways
9514 1404 393
Answer:
(x, y) = (1, 7.5)
Step-by-step explanation:
Solve the first equation for y, then substitute into the second equation.
y = 8 -1/2x . . . . . subtract 1/2x
2(8 -1/2x) = x +14
16 -x = x + 14 . . .eliminate parentheses
2 = 2x . . . . . . . add x-14
1 = x . . . . . . . . divide by 2
y = 8 -1/2(1) = 7 1/2
The solution is (x, y) = (1, 7 1/2).
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<em>Alternate solution</em>
Type the equations into a graphing calculator and let it show you the solution.
