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Ymorist [56]
3 years ago
10

Evaluate the expression: 18P4 A. 3,060 B. 12,240 C. 18,360 D. 73,440

Mathematics
2 answers:
Alexxandr [17]3 years ago
5 0

18P4=\dfrac{18!}{(18-4)!}=\dfrac{18!}{14!}=15\cdot16\cdot17\cdot18=73440

jeka57 [31]3 years ago
3 0

\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad \qquad _{18}P_4=\cfrac{18!}{(18-4)!}

one may note that, your calculator besides having a [ ! ] factorial button, it also has a [ ₙPᵣ ] button for permutations, and you can use that too.

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This using the substitution method
Gnesinka [82]
4x + 3y = 26
x = 3/2y + 2

solving for y:

4 (3/2y + 2) + 3y = 26
6y + 8 + 3y = 26
9y + 8 =26
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y = 2

solving for x:
x = 3/2(2) + 2
x = 3 + 2
x = 5

done.
**optional: use second equation to check
8 0
3 years ago
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
marusya05 [52]

Answer:

9.144 Meters

Step-by-step explanation:

6 0
3 years ago
How much water can be contained by a cylindrical tin can with a radius of 15m and a height of 268m if its 5/6 full?
Law Incorporation [45]
First you find the area of the circle using the radius then multiplying that to the height. That gets the full volume. Using that measurement multiply it by 5/6 to figure out what 5/6 of the volume is. Good luck!
5 0
3 years ago
Plz help stuck on the question
Gekata [30.6K]
The length of the rectangle is n-3, ok, the width is 2

the area of a rectangle is just length * width

\bf A=(n-3)(2)\implies \boxed{A=2n-6}
\\\\\\
\textit{to make some equivalent, let's use our good friend Mr 1}
\\\\\\
\textit{recall that }\cfrac{whatever}{whatever}=1\qquad \qquad \cfrac{same}{same}=1
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\cfrac{55}{55}\cdot 2n-6\implies \cfrac{55(2n-6)}{55}\implies \cfrac{110n-330}{55}
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or
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\cfrac{xyz}{xyz}\cdot 2n-6\implies \cfrac{xyz(2n-6)}{xyz}\implies \cfrac{2nxyz-6xyz}{xyz}

so, if you simplify either of those, you'd end up with 2n-6.

because same/same = 1, and 1 * anything, is just anything itself.
5 0
3 years ago
An expedition leader estimates that a group of hikers can carry less than 550 pounds of food and equipment.
PSYCHO15rus [73]

The number of people in the expedition is the 14.

According to the statement

we have to find that the number of people in the expedition.

So, For this purpose, we know that the

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

According to the statement

The group must carry a total of 336 pounds of equipment as well as each person must carry 25 pounds of food.

From this the equation become:

25x = 336

x = 336/25

x = 13.86

Approximately x is the 14.

So, The number of people in the expedition is the 14.

Learn more about linear equation here

brainly.com/question/4074386

#SPJ9

5 0
2 years ago
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