Step-by-step explanation:
a. true
property: identity
b. false
property: communitive
c. true
associative
d. false
property: multiplication property of zero
a
10.95x + 2.50, but for eight books so 10.95 x 8 + 2.50 = 90.10
b
12.50x + 4.50, but for six books so 12.50 x 6 + 4.50 = 79.50
c
To do this, we can set them both equal to each other and if x is a whole number of books, then they do pay the same amount. If x is a decimal, then they don't pay the same amount.
10.95x + 2.50 = 12.50x + 4.50
2.50 - 4.50 = 12.50x - 10.95x
-2 = 1.55x
This can never be a whole number, so therefore members and non-members can never pay the same amount for an order of x books.
Answer:
B) Independent; the 1st marble selection will not affect the 2nd marble selection.
Step-by-step explanation:
When finding the probability of events in mathematics, we have both independent and dependent events.
Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.
Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events.
From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.
Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.
Answer:
The price of an adult ticket is $9 and the price of a student ticket is $6
Step-by-step explanation:
Create a system of equations where x is the price of an adult ticket and y is the price of a student ticket:
2x + 7y = 60
3x + 11y = 93
Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2, to cancel out the x terms:
6x + 21y = 180
-6x - 22y = -186
Add them together:
-y = -6
y = 6
Then, plug in 6 as y into one of the equations to solve for x:
2x + 7y = 60
2x + 7(6) = 60
2x + 42 = 60
2x = 18
x = 9
So, the price of an adult ticket is $9 and the price of a student ticket is $6
3 shirts at 25.99 each : 3 * 25.99 = 77.97
plus sales tax of 5.5% : 77.97 + .055(77.97) = 77.97 + 4.29 = 82.26
