In how many ways can the letters in the word spoon be arranged?

Mathematics

2 answers:

Sauron [17]2 years ago

5 0

60 i believe is the correct answer

wlad13 [49]2 years ago

3 0

Since there are 5 letters in spoon and the 'o' repeats (there are 2 o's) you would do 5!/2!
This equals 60

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A circle has a radius of 12 inches. Find the length of the arc intercepted by a central angle of 120 degrees to the nearest tent

OlgaM077 [116]

Answer:

25.12 inches

Step-by-step explanation:

We have given the radius of the circle =12 inches

The central angle intercepted by the arc =120°

We have to find the length of the arc

So length of the arc is given by $2\pi \times r\times \frac{central\ angle}{360}$

$=\frac{2\times \pi \times 12\times 120}{360}=25.12inches$

So the length of the arc will be 25.12 inch

3 0

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Midge baked 6 cookies and 4 brownies. Midge only has enough ingredients to bake at most 25 cookies or brownies total. Let x repr

GenaCL600 [577]

Given:
baked: 6 cookies and 4 brownies
can bake 25 more either cookies or brownies

Let x represent the number of more cookies that Midge can bake
Let y represent the number of more brownies that Midge can bake.

cookies = 6 + x
brownies = 4 + y

(6 + x) + (4 +y) ≤ 25
10 + x + y ≤ 25
x + y ≤ 25 - 10
x + y ≤ 15

y ≤ 15 - x

The following graphs best represents the relationship between x and y is:

line joining ordered pair 0, 15 and 7, 8 and the region below this line which lies in the first quadrant is shaded