Answer:
Adult=1,385.71
Children=814.29
Approximately
Adult=1386
Children=814
Step-by-step explanation:
c= number of children
a= number of adults
Admission fee for children=$4.50
Admission fee for adults=$8.00
Total attendees=2200
Total amount realized=$5050
We need two equations to solve the two unknowns
c + a=2200 (1)
4.50c + 8.00a=5,050 (2)
From (1)
c + a=2200
c=2200 - a
Substitute c=2200 - a into (2)
4.50c + 8.00a=5,050
4.50(2200 - a) + 8.00a=5050
9900 - 4.50a +8.00a=5050
Collect like terms
9900-5050= -4.50a+8.00a
4,850=3.5a
Divide both sides by 3.5
1,385.71=a
Substitute a=1,385,71 into (1)
c + a=2200
c+1385.71=2200
c=2200-1385.71
=814.29
c=814.29
Answer:
$3.72
Step-by-step explanation:
7.75*2=15.5
15.5+0.78=16.28
20-16.28=3.72
Answer:
Probability that Caroline buys fruit, a CD or both is 0.76.
Step-by-step explanation:
Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.
Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.
Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.
Required probability P(AB + ABc + AcB ) = P(AB) + P(ABc) + P(AcB) = 1- P(AcBc) = 1 - 0.24 = 0.76.
Answer: 10 and -4
Step-by-step explanation:
3x - 2 Plug in 4 for x
3(4) - 2 = 12 - 2 = 10
5x + 6. Plug in -2 for x
5(-2) + 6 = -10 + 6 = -4
Answer: step one is correct and the second step is incorrect
Step-by-step explanation: