Answer:
On this case n =6 and x =6 we got:
Step-by-step explanation:
The utility for the combination formula is in order to find the number of ways to order a set of elements
For this case we want to find the following expression:
And the general formula for combination is given by:
On this case n =6 and x =6 we got:
Am presuming you are asking for the length of each ribbon in feet.
5 of them = 2 yards.
1 of them = 2/5 = 0.4 yards.
But note 3 feet make 1 yard.
Therefore: 0.4 yards = 0.4 * 3 feet = 1.2 feet.
Step-by-step explanation:
38.25, 37.5, 36.75,35.75,34.75
We know that
The formula to <span>find the sum of the interior angles of a regular polygon is
</span>(n - 2)*180°
where n is the number of sides
so
clear n
(n - 2)*180° = 720°-----> (n-2)=720/180---> n-2=4----> n=6 sides
the answer is
6 sides
1.b)
Fred has F cards. Bill has B cards. Tim has T cards.
B + F + T = 167
B = 5F
T = 4F - 3
5F + F + 4F - 3 = 167
10F - 3 = 167
10F = 170
F = 17
Fred has 17 cards.
B = 5F = 5(17) = 85
Bill has 85 cards.
T = 4F - 3 = 4(17) - 3 = 65
Tim has 65 cards.
2.a)
length = L
width = W
L = W + 5
perimeter = 2L + 2W = 168
2L + 2W = 168
2(W + 5) + 2W = 168
2W + 10 + 2W = 168
4W = 158
W = 39.5
L = W + 5 = 39.5 + 5 = 44.5
Length = 44.5 inches
Width = 39.5 inches
2.b)
Original rectangle:
width = W
length = 2W
New rectangle:
width = W - 1
length = 2W + 4
perimeter = 198 inches
perimeter = 2L + 2W = 198
2(2W + 4) + 2(W - 1) = 198
4W + 8 + 2W - 2 = 198
6W + 6 = 198
6W = 192
W = 32
L = 2W = 64
width = 32 inches
length = 64 inches
3.a)
Now:
Sam's age = S
John's age = 3S
In 5 years:
John's age = 3S + 5
Sam's age = S + 5
3S + 5 = 2(S + 5)
3S + 5 = 2S + 10
S = 5
Sam's age is 5.
John's age is 15.
This is all I have time for now. Post the rest of the problems in a different post, and I'll try to help later.
