To answer this problem, the utilization of the provided formula is of utmost importance.
The formula to be used would be for the combination with no repetition since it is what is asked and possibly happens when involving the products mentioned in the problem. The formula would be
n! where in
------------- n = number of things to choose from
(n - r)! r! r = number of things needed to form
the symbol ! is called a factorial function which replaces the sequence of multiplying a number in a descending order.
lets substitute and solve
13!
--------------
(13 - 6)! 6!
13!
-------------
(7!) 6!
6,227,020,800
-------------------
5,040 x 720
6,227,020,800
-------------------
3,628,800
1,716
The answer would be 1,716.
Answer:
Dilation of 1/2 and then a reflection over y=2
Answer:
1,080 Pennies
Step-by-step explanation:
This question is fairly simple, you just have to simplify it. You are starting at already half-full, so you can keep that 1/2 in mind. Then, she adds 360 pennies to get 5/6. If you convert 1/2 into 3/6, you can see that 360 pennies fills 2/6 of the piggy bank. So now you can solve two different ways. The first, you can take 360 and multiply it by 3 to get the amount that can fit in the piggy bank, because 2 * 3 = 6 and that would make it 6/6, or 1. The other way would be to divide 360 by 2 to get 1/6 of the piggy bank, or 180. Then you can multiply 180 by 6 to get the entire amount.
Hope this helped ^-^
Answer:
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
−
6
−
−
3
)
2
+
(
−
4
−
−
5
)
2
d
=
√
(
−
6
+
3
)
2
+
(
−
4
+
5
)
2
d
=
√
(
−
3
)
2+
1
2
d
=
√
9+
1
d
=
√
10
Or
d
=
3.162
rounded to the nearest thousandth
Answer:
0= x
Step-by-step explanation:
8= 8 + 4x +5x
Combine like terms
8 = 8+9x
Subtract 8 from each side
8-8 =8+9x-8
0 = 9x
Divide by 9
0/9 = 9x/9
0= x
