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vlada-n [284]
2 years ago
7

Carla is going to arrange her 4 books on a shelf: Algebra, Trigonometry, Geometry and Calculus. How many different possible arra

ngements can she make
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
5 0

Arranging of books is an illustration of permutation and combination

There are 24 different possible arrangements she can make

<h3>How to calculate the number of arrangement</h3>

The number of books is given as:

n = 4

Take the factorial of both sides

n! = 4!

Evaluate

n! = 4 * 3 * 2 * 1

n! = 24

Hence, there are 24 different possible arrangements she can make

Read more about permutation and combination at:

brainly.com/question/1216161

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Two months later,The Jensen family takes their moms sedan on a different trip.When she fills the tank,Sally’s mom records the mi
riadik2000 [5.3K]

Answer:

18.04 gallons

Step-by-step explanation:

The cost of filling the empty tank of the vehicle is $71.98.  

If each gallon of gas costs $3.99, then we have to find the volume of the sedan's tank in gallons.

Now, $3.99 is the cost of 1 gallon of gas.

Hence, $71.98 will be the cost of \frac{71.98}{3.99} = 18.04 gallons.

Therefore, the volume of the tank is 18.04 gallons. (Answer)

8 0
3 years ago
Is 9.99 rational or irrational
aleksley [76]

Answer:

Rational

Step-by-step explanation:

A rational number can be written as a fraction of the form.

\frac{a}{b}  \: where \: b \ne0

and a and b are integers.

9.99 =  \frac{999}{100}

Hence in this case a=999 and b=100.

Since both are integers with b being a non-zero integer, we conclude that 9.99 is a rational number.

6 0
3 years ago
Lorenzo buys 3 shirts at S dollars a piece and 2 pairs of pants at P dollars a pair. What does the expression 3s + 2p represent?
ryzh [129]

Answer:

The expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

Step-by-step explanation:

It is given that

Price of a shirt = S dollar

Price of a pair of pants = P

Total number of shirts = 3

Total number of pairs of pants = 2

Total price = Quantity × Price of each unit

Total price of 3 shirts = 3S

Total price of 2 pairs of pants = 2P

Total price of 3 shirts and 2 pairs of pants = 3S + 2P

Therefore the expression 3s + 2p represent total price of 3 shirts and 2 pairs of pants.

3 0
3 years ago
Read 2 more answers
HELP ASAP<br> Find the 15th term or the geometric sequence 7, -21, 63,
mihalych1998 [28]
<h3><u>Answer:</u></h3>

33480783

<h2><u>Step-by-step explanation:</u></h2>

<u>Finding the Common Ratio:</u>

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁)        <em>(Where n is any integer)</em>

<em>replacing the values, taking n=2</em>

r = -21 / 7

r = -3

<u>Solving for the 15th Term:</u>

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹     <em>(where a is the first term and r is the common ratio)</em>

<em>replacing the values (taking n = 15 since we need the 15th term)</em>

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

5 0
3 years ago
The length of Amy's rectangular kitchen is 12 feet. If the area of the room is at least 96 square feet, what is the smallest wid
leva [86]
The answer should be 8
6 0
3 years ago
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