Please help me with this problem. Thank you!

A) If the Permutation occurs when order of choices matters will be; 24 ways

B) If the Combination occurs when order of choices doesn't matter will be; 4 ways

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

Assume that we want to choose 3 letters without replacement from the 4 letters A B C and D.

a) Permutation occurrs when order of choices matters;

N = 4P3 = 4!/(4-3)! = 4!/1!

N = 24 ways

b) Combination occurs when order of choices doesn't matter;

N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)

N = 4 ways

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Answer:

Nice

Step-by-step explanation:

At the electric store, 4 electric guitars and 5 acoustic guitars were sold

An equation shows the relationship between numbers and variables in an expression.

Let x represent the number of electric guitars and y represent the acoustic guitars.

electric guitars sold for $479 each and acoustic guitars sold for $339 each. in one week, a music store sold 9 guitars for a total of $3611, hence:

x + y = 9    (1)

Also:

479x + 339y = 3611   (2)

From both equations:

x = 4, y = 5

4 electric guitars and 5 acoustic guitars were sold

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The total cost of the meal with tax and tip is $31.8246.

A tax is a mandatory fee or financial charge that any government imposes on a person or a business in order to raise money for public projects that fund the best facilities and infrastructure. Different public expenditure programmes are then funded with the money raised.

Under the established law, there will be serious repercussions if one does not pay taxes or does not contribute.

7% sale tax applied on meal costing $29.00,

29 - 29 × 0.07

= 29 - 2.03

= 26.97

An automatic tip of 18% is applied

26.97 + 26.97 × 0.18

= 26.97 + 4.8546

= $31.8246

Thus, total cost of the meal with tax and tip is $31.8246.

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Answer:

Step-by-step explanation:

let me know when you find it

Answer:

To multiply using fraction form, we can convert the decimal numbers to fractions and then multiply them together.

4.4 can be written as 44/10

3.2 can be written as 32/10

So the multiplication would be:

(44/10) * (32/10) = (4432)/(1010) = 1408/100

To simplify this fraction, we can divide the numerator and denominator by their greatest common factor which is 4, we get:

1408/100 = 352/25

So the product of 4.4 and 3.2 is 352/25 in fraction form.

The value of x is 25.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The given figure is an equilateral triangle.

AB = BC = AC

Now,

3x - 5 = 2x + 20 = 4x - 30

Take any two sides.

Now,

Solve for x.

3x - 5 = 2x + 20

3x - 2x = 20 + 5

x = 25

or

Solve for x.

2x + 20 = 4x - 30

20 + 30 = 4x - 2x

50 = 2x

x = 25

or

Solve for x.

3x - 5 = 4x - 30

30 - 5 = 4x - 3x

25 = x

x = 25

Thus,

The value of x is 25.

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The equation of the rate of swimmer diving is b)2+x=-12.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here according to the given after 2 minutes, she was 12 meters below the surface.

Then let us take x as the total timing of the dove below then,

after 2 minutes then

=> x+ 2

Swimmer is 12 meters below the surface then

=> x+2 = -12.

Hence the correct option is b)2+x=-12.

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By using the promotional deal the kids saved 20 dollars.

Simply put, a promotion is a discounted product or service that you already have available on your website or that you want to offer. We re-promote it, and the consumer can view it and be directed to the Merchant's website, location, or phone number – no online transaction is necessary.

A promotion is frequently a recurring event that happens weekly or daily to draw more people to a particular day. It doesn't necessitate an online transaction but does include some sort of discount or added value. A promotion may be accessible online for several days, weeks, months, or even years.

When you buy 5 $12 admission tickets you get a free $3 cotton candy and a free $2 soda

A group of 20 buys each  $12 admission tickets, i.e

20/5

= 4 promotional deal

All together they are eligible for 4 promotion deal.

They get 4 $3 cotton candy and 4 $2 soda

= $12 + $8

= $20

Half of them want cotton candy = 20/2

                                                     = 10

¼ of them want soda = 20/4

                                     = 5

10 × $3 cotton candy

= $30

5 × $2 soda

= $10

Total $40

Dollars the save = $40 - $20

                            = $20

Thus, By using the promotional deal the kids saved 20 dollars.

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The first option 3² × 5 × 7 is the correct option to show the prime factorization of 315 in exponential notation.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the the number.

The 1st five prime numbers includes: 2, 3, 5, and 7. We shall divide the number 315 with prime numbers that are factors beginning with 3;

315/3 = 105

105/3 = 35

3 is not a factor of 35, the next prime number 5 is, so;

35/5 = 7

3 is not a factor of 7 the next prime number 7 is, so;

7/7 = 1

Therefore, the number 315 expressed as product of its prime factors in exponential notation is 315 = 3² × 5 × 7.

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The solution of the system of equation is as follows:

x = 2 / 5 and y = - 2 / 5.

System of equation can be solved using different method such as elimination method and substitution method.

Let's solve the system of equation by substitution method.

6x + y = 2

x - 4y = 2

Hence,

x = 2 + 4y

substitute the value of x in equation(i)

6(2 + 4y) + y = 2

12 + 24y + y = 2

12 + 25y = 2

25y = 2 - 12

25y = - 10

y = -10 / 25

y = - 2 / 5

Hence, let's find the value of x

6x  = 2 - y

6x = 2 + 2 / 5

6x =  10 + 2/ 5

6x = 12 / 5

x = 12 / 5 × 1  /6

x = 12 / 30

x = 2 / 5

Therefore,

x = 2 / 5 and y = - 2 / 5

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A metro station, often referred to as a subway station, is a railway stop for a rapid transit system, also known as a "metro" or "subway" in its whole.

Several different types of transfer stations can be found in the New York City Subway:

The Complete Question is Subway transfer stations.

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Answer:

5 books one calendar

Step-by-step explanation:

just mutiplied 4 by 5 wich is 20 n then added 3 because the calendar is 3$

you put 5 - 2300 60 + 40 then how do 25 + 69 equals to 100 to 108 cost 25 million

Answer: Number 1 Is also ∠ABC and it is a right triangle

Number 2 is CB and BE

Number 3 is 18

Step-by-step explanation:

Step-by-step explanation:

1.

angle ABD

2.

CB and BE

3.

"bisects" means it is cutting it in half.

so, angles 3 and 4 are both half of the main angle 94°.

94/2 = 47°

angle CBE = angle 4 = 47° = (3x - 7)°

3x - 7 = 47

3x = 54

x = 18

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{x\leq y,\ \ \ -\infty < y < 1.5} \atop {x < -y+3,\ \ \ 1.5 < y < \infty}} \right.[/tex]

Answer:

I think 0.15b would be a no because that is just what a customer would tip.

15b is also a no because that is 15 times the price of the bill.

b + 0.15b is a yes because you are adding the bill and 15% of the bill as a tip.

1.15b is a no because you are multiplying the bill by 1.15.

1.015 is a no because you're multiplying the bill by 1.015.

b + (15/100)b is a yes because you are adding the bill and 15% out of 100% of the bill as a tip.

b + 0.15 is a no because you would be tipping them 15 cents, not 15% of the bill.

The better plan is offered by bank B.

We know that the compound interest that we get on investment is the kind of interest that would be obtain when we consider not only the principal but also the interest on the investment.

Now we know that in the case of Bank A the interest rate that is offered by the bank is 0.95% while for the bank B the interest rate is 3.75%. We can see that the formula for the compound interest is;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

t = time

n = Number of times compound.

The lesser the number of times compounded and the higher the percentage the higher the amount at the end of the given time.

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The slope of the line is negative three fourths. option C

You should know that slope is the rate of change of y with respect to x. We can equally say that  slope is the rise over run or an increase in y over an increase in x vice versa.

The given coordinates for the computation of the slope are

(-2,3) and (2,0)

The formula for slope is

m= (y₂ -y₁)/(x₂-x₁)

This implies that the slope of the line is

m=(0-3)/(2+2)

m= -3/4

In conclusion, the slope of the line is negative three fourths

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Answer:

c: -3/4

Step-by-step explanation:

The difference between collinear and coplanar is that collinear points line on the same line and coplanar lie on the same plane.

On a single straight line, collinear points are located. A scalar multiple of two collinear vectors can also be used to represent them. If the two vectors p and q are collinear, then p=kq, where k is a scalar value We will now talk about coplanar, which refers to objects that are on the same plane and can be said to be coplanar.

Whether we use points or vectors, the terms "collinear" and "coplanar" are properties that can be utilised in a variety of situations..

If p→,q→

are two collinear vectors then p→=kq→

where k

is a scalar number.

If p→,q→,r→

are three coplanar vectors then p→=mq→+nr→

where m,n

are scalar numbers.

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The value of side HI = GH, so the value of HI = 79.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

Similar figures are described as items with the same shape but varying sizes, such as two or more figures. A hula hoop and the wheel of a bicycle are two examples of objects whose shapes are similar to one another.

Given that,

GJ = IJ and the value of GH = 79

We observe that the GI is the perpendicular bisector, hence the value of GH = GJ.

The triangle IGH and triangle IGJ are similar using the SAS criteria as:

GH = GJ

IG = IG

and angle IGH = angle IGJ

Hence, side HI = GH, so the value of HI = 79.

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The correct question is:

The value of side HI = GH, then the value of HI = 79.

Two triangles are comparable if they have an equivalent number of corresponding sides and corresponding angles.

Items with the same shape but different sizes, such as two or more figures, are referred to as similar figures. One example of an object with a similar shape to another is a bicycle wheel. Another is a hula hoop.

Let the values be GJ = IJ and the value of GH = 79

Since the GI is the perpendicular bisector, GH = GJ is the result.

Using the SAS condition GH = GJ, the triangles IGH and IGJ are similar.

IG = IG and angle IGH = angle IGJ

Therefore, the side HI = GH, so the value of HI = 79.

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The answer would be 6x+25.

For this, we have to use the Distributive Property, which allows us to multiply the numbers inside of the parenthesis.

-----------------------------------------------------------------------------

So you would do 6•x which equals 6x. And then do 6•4 which equals 24. Your equation currently should be 6x+24+1. Lastly, add 24 and 1 to get your final answer of 6x+25.

I hope this helped :)

Answer:

Step-by-step explanation:

6(x + 4) + 1                       (6*x = 6x and 6 * 4 = 24)

6x + 24 + 1

6x + 25

The train will cover 3.33 distance in one and a half hours.

What is the distance?

Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Here, we ave

Given: A train travels at an average speed of 100 kilometers per hour.

We have to find out If the train travel's for one and a half hour, what distance it covered.

Speed = 100kn

Distance=?

Time=   30 min

Distance = speed/time

Distance = 100/30

Distance = 3.33 meters

Hence, the train will cover 3.33 distance in one and a half hours.

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People can be represented by the signed number -28,000.

A car corporation represented by the signed number 1720.

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Answer: 30 1/4 (Fully Reduced)

121/4 (Not reduced)

Step-by-step explanation:

Hope this helps! :)

The Accounting Students Association (ASA) at your campus has chosen to sell three different sorts of T-shirts to earn money.

A single-color "regular" design, a two-color "fancy" design, and a three-color "very fancy" design are the three T-shirt options that the Accounting Students Association (ASA) at your college has chosen to sell in order to raise money.

According to the association, 300 T-shirts could be sold. The association's entire purchasing budget is $3,000, and it will spend $6 on "ordinary" T-shirts, $8 on "fancy" T-shirts, and $10 on "extremely fancy" T-shirts. The company plans to make a profit of $4 on "regular" T-shirts, $5 on "fancy" T-shirts, and $4 on "extremely fancy" T-shirts while selling them. Profit = Total Revenue - Total Cost is a key component of the profit maximization formula.

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Let x represent the number of pages Aiden read on day one.

On day two he read twice the number of pages, so 2x represents the number of pages he read on day two.

On the third day, he read 6 pages less than what he read on the first day, so x - 6 represents the number of pages he read on day three.

The total number of pages he read in three days is the sum of the pages he read on each day:

x + 2x + (x - 6) = 458

3x - 6 = 458

3x = 464

x = 154

Aiden read 154 pages on day one.

By HL congruence,  triangle ABC congruent to triangle DEF. Therefore, option D is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider the given triangles as ABC and DEF.

From the given triangles,

AC=DF=14 in.

BC=EF=20 in.

∠A=∠D=90°

The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

By HL congruence, ΔABC ≅ ΔDEF

Therefore, option D is the correct answer.

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The smallest positive integer by using the trial and error method will be 47.

What is meant by trial and error method?

Trial and error is a fundamental method of Problem solving. It is characterized by repeated, varied attempts which are continued until success, or until the agent stops trying. Until getting the right answer the problem is repeated through various steps. This type of problem solving is called trial and error method.

Now

since the numbers are small, trial and error works.

Consider those numbers which are of the form 11x+3 :- 3, 14, 25, 36, 47, 58, 69, 80, 102, 113, 124, 146, 168, 179, 190, 212, 223

From given number find the number which when divided by 3 gives remainder 2 and when divided by 7 gives remainder 5 and the smallest number will be our answer.

From given numbers 47 is the smallest positive integer which satisfies given conditions.

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Answer: The expression 5x + 4y represents the total cost of the purchase for x baskets of tomatoes and y bags of onions. The 5x term represents the cost of the tomatoes (5 dollars per basket) and the 4y term represents the cost of the onions (4 dollars per bag). The sum of these two terms represents the total cost of the purchase.

Step-by-step explanation:

Answer: 5 x represents that a customer has to pay 5 dollars for x bags of tomatoes and 4 y represents a customer has to pay 4 bags dollars for y bags of onions

Step-by-step explanation: since a customer wants to purchase x or y bags of something we can plug in the cost to see that that is what they represent