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GaryK [48]
3 years ago
5

How many ways can you arrange 10 numbers

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

3628800

Step-by-step explanation:

There are 10 options for the first number.

That leaves 9 options for the second number.

That leaves 8 options for the third number.

So on and so forth.

The number of ways 10 numbers can be arranged is:

10×9×8×7×6×5×4×3×2×1

= 10!

= 3628800

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Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)
Paha777 [63]

Answer:

(1\frac{1}{15},3\frac{5}{12})

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are 4 \frac{1}{3} and -2\frac{1}{5}.

The y's are 3\frac{1}{6} and 3\frac{2}{3}.

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}

Write as improper fractions:

\frac{\frac{13}{3}+\frac{-11}{5}}{2}

Division by 2 is the same as multiplying by 1/2:

\frac{13}{6}+\frac{-11}{10}

The least common multiple of 6 and 10 is 30.  We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

\frac{65}{30}+\frac{-33}{30}

Now that the bottoms are the same we can write as one fraction:

\frac{65+-33}{30}

Simplify:

\frac{32}{30}

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

1\frac{2}{30}

Reduce by dividing top and bottom by 2:

1\frac{1}{15}

Now for y:

\frac{3\frac{1}{6}+3\frac{2}{3}}{2}

Write the mix fractions as improper fractions:

\frac{\frac{19}{6}+\frac{11}{3}}{2}

Dividing by 2 is the same as multiplying by 1/2:

\frac{19}{12}+\frac{11}{6}

The least common multiple of 12 and 6 is 12 so I'm going to multiply the second fraction by 2/2 so the denominators will be the same:

\frac{19}{12}+\frac{22}{12}

Since the denominators are the same we can write as a single fraction:

\frac{41}{12}

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

3\frac{5}{12}

So the midpoint is:

(1\frac{1}{15},3\frac{5}{12}).

6 0
3 years ago
Read 2 more answers
Plz help this is due in like 1 hour
poizon [28]

Answer:

A

Step-by-step explanation:

Since each star is worth 50 points, if 5 stars are zapped that would convert to 250 points. Each level the number of stars increase by 5, level 6 would have 45 stars and so on.. With level 10 having 65 stars to complete.

4 0
3 years ago
Read 2 more answers
A flagpole casts a shadow of 30 ft. A boy standing next to the flagpole casts a shaow of 9ft. What is the height of the flagpole
morpeh [17]
20 ft because the shadow would be 3/2 of the height. 9 is 3/2 of 6 so the height would be 20 bc 30 is 3/2 of 20
6 0
2 years ago
A store owner paid $15 dollars for a book. she marked up the price of the book by 40% to determine it's selling price.
Tcecarenko [31]
A) $15 ÷ 40% =
15×.4= 6
15+6= 21

B) $38 × .25=9.5
38-9.5=28.50

28.50×.06=1.71
28.50+1.17=30.21

I think this is how you do it. would wait for other answers as well to double check.
6 0
3 years ago
Read 2 more answers
 PLEASE HELPPPPP ME PLEASE I DONT KNOW WHAT TO DO ☹️#7
nirvana33 [79]

Given:

The function is:

f(x)=-2x+5

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

f(x)=-2x+5

Step 1: Substitute f(x)=y .

y=-2x+5

Step 2: Interchange x and y.

x=-2y+5

Step 3: Isolate variable y.

2y=5-x

y=\dfrac{5-x}{2}

Step 4: Substitute y=g(x).

g(x)=\dfrac{5-x}{2}

Hence, the inverse of the given function is g(x)=\dfrac{5-x}{2} and the graphs of these functions are shown below.

8 0
2 years ago
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