Answer:
number of ways = 720
Step-by-step explanation:
The number of ways six people sit in a six-passenger car is given by the number of permutations of 6 elements in 6 different positions ( seats), then
number of ways = number of permutations of 6 elements = 6! = 6 * 5 * 4 *3 * 2 * 1 = 720
Since the first person that sits can be on any of the seats , but then the second person that sits can choose any of 5 seats (since the first person had already occupied one) , the third can choose 4 ... and so on.
Set up the proportion of $ on one side and percents on other. You can put x for the retail value of the hat and 16 on the bottom. Then on the other side put the percentage of the added markup plus 100% which is the original price on the top over 100%. It should be something like x/16 = 155/100. The cross multiply. (x)(100) = 100x and (16)(155) = 2480. Then divide 2480 by 100 to isolate the x. Your final answer will be x = 24.80 which is the retail price.
Answer:
9
Step-by-step explanation:
I multiply 52 and 83 and get 4316. 4892 - 4316 is 576. 576 divided by 64 is 9!
Hi there!
Looking at the graph, we can see zeroes at x = -4, 0 (bounce, degree of 2) and 3. The graph is also face up, so it is positive. We can write an equation in factored form:
f(x) = x²(x + 4)(x - 3)
Find the equation of g by translating each zero left. The new zeros would be:
x = -6, x = -2, and x = 1
Write the polynomial:
g(x) = (x + 2)²(x + 6)(x - 1)
Answer:
#10: 5/36
#11: 5/6
Step-by-step explanation:
#10:
The following combinations will get you 6.
1 - 5
2 - 4
3 - 3
4 - 2
5 - 1
These are only 5 of the 36 possible combinations, so you have 5/36 of a chance to get a combo of equal 6.
#11:
Like with #10, list the possible combinations that will get you 7.
1 - 6
2 - 5
3 - 4
4 - 3
5 - 2
6 - 1
That's only six combinations, but we're not including those. Subtract 6 from 36 to get 30. 30/36 simplifies to 5/6 (GCF of 30 & 36 is 6), so that is the answer to #11.
