The numbers can be arranged in 720 ways.
There are 6 people possible for the first position; 5 for the second; 4 for the third; etc. This gives us 6! = 720.
Answer:
4/5 * 3/2
Step-by-step explanation:
fraction division = multiplying the first fractions by the reciprocal of the second fractions (the tops are bottoms are flipped).
It should be 10...because the 2 angles in the base are the same so the length is mirrored
Answer:
She will need to earn a little more than $1333 that week.
Step-by-step explanation:
600/0.45 = 1333.333(repeating) rounded to nearest dollar is 1333
Check by doing 1333 x 0.45 (comes out to be 599.85)
Answer:
see explanation
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
=
[2a + (n - 1)d ]
where d is the common difference and a is the first term
here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence
=
[(2 × 5) + 2(n - 1) ]
=
(10 + 2n - 2)
=
(2n + 8)
= n² + 4n
When sum = 165, then
n² + 4n = 165 ← rearrange into standard form
n² + 4n - 165 = 0 ← in standard form
(n + 15)(n - 11) = 0 ← in factored form
equate each factor to zero and solve for n
n + 15 = 0 ⇒ n = - 15
n - 11 = 0 ⇒ n = 11
but n > 0 ⇒ n = 11