30 points! Please help!

Answer:

120

Step-by-step explanation:

There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Since, we're dealing with a problem where the order matters and the first two letters are already chosen we need to subtract the number of letters and the number of available slots per group.

Here, We use the permutation formula to find the answer, but before that let's check values.

n = 8

k = 5

Now since there are two letters already chosen we have to deduct two from both the value of n and k.

n = 6

k = 3

Hence, we can use the permutation formula:

P (n, k) = n! / (n - k)!

P (6, 3) = 6! / (6 - 3)!

P (6, 3) = 120

Thus, There are 120 ways can eight letters be arranged into groups of five where order matters and the first two letters are already chosen

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Answer:

0

Step-by-step explanation:

The slope of any horizontal line will be zero.

Answer:

slope = m = rise/run = 0/8 = 0

Step-by-step explanation:

Well rise/run is how much it rises over how much it runs.

Note it rises by 0 so 0 on top,

Therefore;

no matter it be 0/1 or 0/1241213261238126836128361  the rise/run also known as slope is always gonna be 0

Reasoning:

0 divided by anything is always 0

Hope this helps

Answer:

$117.14

Step-by-step explanation:

A "sales tax" refers to a specific amount of money (according to its percentage) that you need to pay other than the price of the good stated.

So, if the price of the smart watch is $109.99 and the sales tax is 6.5%, you have to know much is 6.5% of $109.99. This can be computed by using the multiplication operation.

109.99 x 6.5% (0.065) = $7.15 (this is the sales tax)

In order to know the total cost of the smart watch, you have to add the sales tax to the price of the smart watch.

$109.99 + $7.15 = $117.14

The total cost of the smart watch is $117.14

Answer:

$117.14

Step-by-step explanation:

I toke the quiz and a k12 student.

Part (a)

Answer: $32.50

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

Work Shown:

Each ticket costs $16. If you buy four of them, then you paid 4*16 = 64 dollars.

The total bill was $96.50

This leaves 96.50-64 = 32.50 for parking.

======================================================

Part (b)

Answer:  y = 16x+32.50

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

Work Shown:

x = number of tickets

y = total bill (in dollars)

1 ticket costs 16 dollars

x tickets cost 16x dollars since we multiply both values by x

Add on the cost of parking to get a total bill of y = 16x+32.50

======================================================

Part (c)

Answer:  at most 13 tickets

In other words, 13 is the max you can get.

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

Work Shown:

Plug y = 250 into the equation found back in part (b). Solve for x

We'll follow PEMDAS in reverse to isolate x

y = 16x+32.50

250 = 16x+32.50

16x+32.50 = 250

16x = 250-32.50

16x = 217.5

x = 217.5/16

x = 13.59375

Since we can't buy a fraction of a ticket, we must round down to the nearest whole number. We cannot round to x = 14 despite the value 13.59375 being closer to 14 as it is to 13.

x = 13 is the answer we're after.

If we plug in x = 13, we get

y = 16x+32.50 = 16*13+32.50 = 240.5

while x = 14 leads to

y = 16x+32.50 = 16*14+32.50 = 256.5

The first result of $240.50 is under $250 while the second result $256.50 is over $250. So that's why x = 13 is the largest number of tickets we can buy.

a) The parking fee is $32.50.

b) The equation is T(N) = 16N + Parking fee

c) Approximately 13 or 14 tickets.

We have,

a)

Total bill - Cost of tickets = Parking fee

$96.50 - ($16 * 4) = Parking fee

$96.50 - $64 = Parking fee

Parking fee = $32.50

b)

Total bill = T

Number of tickets = N

The equation that gives your total bill (in dollars) as a function of the number of tickets you buy is:

T(N) = 16N + Parking fee

c)

T(N) = 16N + Parking fee

Substituting the given values:

$250 = 16N + Parking fee

$250 = 16N + $32.50

$250 - $32.50 = 16N

$217.5/16 = N

N ≈ $13.6

Thus,

a) $32.50

b) T(N) = 16N + Parking fee

c) Approximately 13 or 14 tickets.

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[tex] {3}^{12} \div {3}^{7} = [/tex]

[tex] {3}^{12} \times {3}^{ - 7} = [/tex]

[tex] {3}^{12 - 7} = {3}^{5} [/tex]

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Answer:

I think the answer is 243.

Step-by-step explanation:

hope that helps

hi

technique is  to decompose both part of the fraction ( in prime numbers if possible )

 8 * 5/6   =     2*4*5  / 3*2   =   20/3

Answer:

Step-by-step explanation:

We have

[tex]e^\frac{x}{2}^l^n^3 = 5\\[/tex]

[tex]ln(e^\frac{x}{2}^l^n^3) = ln(5)\\\frac{x}{2}ln(3) = ln(5)\\\frac{x}{2} = \frac{ln(5)}{ln(3)} \\x = \frac{2ln(5)}{ln(3)}[/tex]

[tex]x = 2.929947041[/tex]

to the third decimal is 2.930 (i might be wrong on the rounding part)

Answer:

2.8

Step-by-step explanation:

It is the same

Answer:

because two angles are equal

Answer:

If solved by using quadratic formula, you would need to solve the rational equation by combining expressions and isolating the variable  y .

y ≈ 2.45043159

Step-by-step explanation:

The expression (y⁴ - 81) / (y - 3) simplifies to (y + 3)(y² + 9) after factoring and canceling common terms.

expression (y⁴ - 81) / (y - 3)

by simplification

factoring the numerator

y⁴ - 81 = (y²)² - 9² = (y² - 9)(y² + 9)

factoring the denominator

y - 3

we get, (y² - 9)(y² + 9) / (y - 3)

simplifying

(y² - 9) = (y - 3)(y + 3)

(y - 3)(y + 3)(y² + 9) / (y - 3)

(y + 3)(y² + 9)

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Answer: x = 59

Step-by-step explanation:

Answer:

I'm not 100% if its right but I think its 4:2.

Step-by-step explanation:

Answer:

the closest one i think is 4:3(dont get mad at me if its wrong)

Step-by-step explanation:

Answer: 22 gallons of gas.

The amount of gas needed to travel 330 miles will be 36.67 gallons.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

A van travels 180 miles on 12 gallons of gas. Then the rate is given as,

Rate = 20 / 180

Rate = 0.1111 gallons per mile

At that rate, the amount of gas needed to travel 330 miles will be given as,

⇒ 330 x 0.1111

⇒ 36.67 gallons

The amount of gas needed to travel 330 miles will be 36.67 gallons.

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Answer:

-1728

Step-by-step explanation:

First, you multiply -12 and -12 which is 144

After that multiply 144 by -12 which is -1728

Answer: -1728

Hope this helps!

Answer:

-1728

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

Answer:

x = 20

y = 100

Step-by-step explanation:

To figure out x do this.

3x + 2x = 7x - 40 (collect like terms)

5x = 7x -40 (subtract 7x on both sides)

-2x = -40 (divide by -2 on both sides)

x = 20

Plug in to get y

Since 7x - 40 and y are vertical they equal the same amount

7(20) - 40 = y (multiply 7 by 20)

140 - 40 = y (collect like terms)

100 = y

Hope this helps ya! Keep smiling!

9514 1404 393

Answer:

  2(x+1)

Step-by-step explanation:

  x . . . I think of a number

  x +1 . . . add 1

  2(x +1) . . . double the result

Answer:-6

Step-by-step explanation:

Answer:

I believe the answer is 90

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

Calculate whether an angle is 90 degrees using the Pythagorean Theorem. This well-known theorem is often phrased as "A squared plus B squared equals C squared," which indicates that the sum of the squares of lengths of the adjacent sides of a right triangle is equal to the square of the length of the hypotenuse side.

Answer:

i think i think its B

Step-by-step explanation:

Answer:

1. x=7/5-2y/5

2. x = − 8 √ 3 ( − 1 − 2 y )

Step-by-step explanation:

i did it

Answer:

Step-by-step explanation:

(x₁ ,y₁) = (0 , 5)   & (x₂, y₂) = (-4 , 6)

[tex]Midpoint = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\[/tex]

               [tex]= (\frac{0 - 4}{2} , \frac{5+6}{2}) \\\\= (\frac{-4}{2} , \frac{11}{2})\\\\=(-2 , 5.5)[/tex]

The mid-point is the average of the respective values for x and y.

So, the formula for the mid-point would be: [tex](\frac{x_{2} + x_{1}}{2}, \frac{y_{2} + y_{1}}{2})[/tex]

So for your problem this would be:[tex](\frac{-4}{2}, \frac{11}{2})[/tex]

So the final answer would be: [tex](-2, 5.5)[/tex]

Answer:

f(1)=11,f(n)=f(n-1)+1

Answer:

y = 5

x = 14

Step-by-step explanation:

AOC=25

AOL=90

Therefore COL = 65

COM is a 90 degree angle since MOD is 90 degrees

COM - COL = 90 - 65 = 25

5y = 25

y=5

LOB = 90

5y + 3x + 23 = 90

5(5) + 3x +23 = 90

25 + 3x + 23 = 90

48 + 3x = 90

3x= 90 - 48

3x = 42

x= 14

Answer:

x = 14, y = 5

Step-by-step explanation:

MOB = LOC

(3x + 23) + 25 = 90

3x + 23 = 65

3x = 42

x = 14

3(14)+23 + 5y = 90°

5y = 25

y = 5

Answer: 15

Step-by-step explanation:

suppose;  three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)

because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers

=> 5(x + 2) = 3( x +x +4) - 13

<=> 5x + 10 = 6x + 12 - 13

<=>6x - 5x = 10 + 13 - 12

<=> x = 11

=> the largest odd number is 11 + 4 = 15

The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15

Let the integers be : a, a + 2, a + 4

Creating a mathematical equation using the scenario given.

5(a + 2) = 3(a + (a + 4)) - 13

Open the bracket bracket

5a + 10 = 3(2a + 4) - 13

5a + 10 = 6a + 12 - 13

5a + 10 = 6a - 1

Collect like terms

5a - 6a = - 1 - 10

-a = - 11

a = 11

The largest integer = a + 4 ; 11 + 4 = 15

Therefore, the largest of the consecutive odd integers is 15

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Answer:

£80

Step-by-step explanation:

If there are 5 days in a work week, and he earns £400 for the whole week, you would divide £400 by 5. You get 80, so Dan earns £80 each day.

Answer:

£80

Step-by-step explanation:

divide £400 by 5

400/5 = 80

Answer:

24cm, 36cm y 48cm

Step-by-step explanation:

Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.

(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)

The Answer is...

143 over 60

(Decimal: 2.38333)