How can you determine if the length of the 3 sides would make a triangle?

On solving the provided question, we can say that by having the equation 15 attendees were at the party

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

let x = number of attendees

[tex]2x[/tex] + 20 = number of slices 5(x-5) = [tex]2x[/tex] - 20

[tex]5x[/tex] - 25 = [tex]2x[/tex] + 20

[tex]3x[/tex] = 45

[tex]x[/tex] = 15

[tex]2x[/tex] + 20 = 50 slices

15 attendees

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Answer:

To expand (2x + 5) (4x − 3) (5x - 4), you can use the distributive property and the FOIL method.

The distributive property states that for any two algebraic expressions a and b, and for any two numbers x and y, (a+b)(x+y) = ax + ay + bx + by.

The FOIL method is a way to multiply two binomials. It stands for First, Outside, Inside, Last, and it involves multiplying the first term of the first binomial by the first term of the second binomial, the first term of the first binomial by the second term of the second binomial, the second term of the first binomial by the first term of the second binomial, and the second term of the first binomial by the second term of the second binomial.

Using these methods, you can expand (2x + 5) (4x − 3) (5x - 4) as follows:

(2x + 5) (4x − 3) (5x - 4) = (2x)(4x)(5x) + (2x)(4x)(-4) + (2x)(-3)(5x) + (2x)(-3)(-4) + (5)(4x)(5x) + (5)(4x)(-4) + (5)(-3)(5x) + (5)(-3)(-4)

This can be simplified to:

= 40x³ - 32x² - 60x³ + 48x² - 20x³ + 15x² + 60x - 20x + 100x² - 20x + 12

Combining like terms, we get:

= -12x³ + 143x² + 100x + 12

So, the values of a, b, c, and d are a = -12, b = 143, c = 100, and d = 12.

Step-by-step explanation:

Three cards are chosen from a pack of 52 cards. what is the probability that they are not all the same color is 0.8824 or 88.24%

The likelihood or chance that a specific event will occur is represented by a probability.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportion with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Given that three cards are chosen from a pack of 52 cards.

There are 26 cards of each color (i.e. 26 cards are red color and 26 cards are of black color)

The probability of drawn first card of any one color is

P(1)= 26/52 = 1/2

The probability of drawn second card of same color is

P(2)= 25/51

The probability of drawn third card of same color is

P(3)= 24/50 = 12/25

The probability of having three cards are same color is

P = P(1)*P(2)*P(3)

P = 1/2 * 25/51 * 12/ 25

P = 6/51

So the probability that three cards are not all the same color is

P' = 1 - P

P' = 1 - 6/51

P' = (51-6)/51

P' = 45/51 = 15/17

P' = 0.8824

The likelihood that the three cards are not all red is roughly 0.8824, or 88.24%,

.

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The slope of the line is 40 if the points are joined.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

given:

Take two points from the graph as (2, 80) and (4, 160)

Then, the slope of line is

slope, m = ( 160- 80) / ( 4- 2)

slope, m = 80 /2

slope , m = 40

Hence, the slope is 40.

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probability of landing on heads - 49 %

Answer:

49%

Step-by-step explanation:

There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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There is only 1 power of 7 contained in 10.

Students use powers of numbers to solve this problem and learn what is occurring to the numbers as a result.

Students also learn how to divide a seemingly vast and challenging equation into smaller, more accessible components. The pupils should understand that raising 7 to a power only produces a finite number of unit digits. Furthermore, as the power of 7 rises, these particular numbers "circle round." 7, 9, 3, and 1 make up this cycle.

The digit in the tens place is the same.

The total number of times we multiply a number is known as its exponent or power. For instance, 2 to the power 3 denotes a 3x3 multiplication of 2.

The largest power of 7 that is less than 10 is 7^1 = 7, therefore there is only 1 power of 7 contained in 10.

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No, I'm not agree with Noah. Because the equation 1. 20(d+5)=42 is a mathematical equation and can be false depending on the value of the variable d.

The equation 1. 20(d+5)=42 is a mathematical equation that contains a variable d. The equation states that when you multiply 20 with (d+5) the result should be 42.

The equation is true if there is a value of d that makes the equation true. For example, if d=1, then 20(1+5)=20(6)=120 which is not equal to 42, so this value of d does not make the equation true.

On the other hand, if d=-7, then 20(-7+5)=20(-2)= -40 which is equal to 42, so this value of d makes the equation true.

Therefore, the equation can be true or false depending on the value of the variable d. In general, without knowing the specific context or situation in which the equation is being used, it is impossible to determine if the equation accurately represents a situation or not.

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Answer:

  25%

Step-by-step explanation:

Of the 12 girls and 16 boys in Mr. Johnson's class, 3 girls and 4 boys wear glasses. You want to know the percentage of students in the class who wear glasses.

The percentage is the fraction multiplied by 100%. The fraction is the ratio of glasses-wearers to total students.

  percentage = (girls w/ glasses + boys w/ glasses)/(girls + boys)×100%

  percentage = (3 +4)/(12+16) × 100% = 7/28 × 100% = 25%

25% of the students in Mr. Johnson's class wear glasses.

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Answer:

64 sequences of 4 fish are possible.

The projected Population in 2020 is given by 4146.

Compounding is the method through which interest is added to both the principle balance already in place and the interest that has previously been paid. Thus, compounding may be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."

Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The main (initial) sum and the interest that has previously accrued over the course of prior periods are used to compute compound interest.

Number of years to compound is 10 years from 2010 to 2020.

The population deplition is 0.6 % = next year population is 99.4% of present.

So population after 10 years = 4403 * [tex].994\x^{10}[/tex] = 4145.84 =4146

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Answer:

Bonjour is the bonjour of qui

Step-by-step explanation:

Points points

Answer: The input values for this function are the number of hours traveled, represented by the variable h. Therefore, appropriate input values for this function would be any positive number representing a number of hours traveled.

For example, some appropriate input values could be:

h = 1: This represents 1 hour of travel, or a total distance of 140 miles.

h = 2: This represents 2 hours of travel, or a total distance of 280 miles.

h = 3.5: This represents 3.5 hours of travel, or a total distance of 490 miles.

Note that the input values do not have to be whole numbers, they can be any positive number representing a number of hours traveled.

Step-by-step explanation:

Answer:

yea yea

Step-by-step explanation:

Answer:

1 bucket

Step-by-step explanation:

3/4 buckets = 3/4 hours

multiply both sides by 4/3 to get one hour

(4/3) * (3/4) buckets = (4/3) * (3/4) hours

1 bucket = 1 hour

The table that is a justification for the given solution to the system of equations is table 1

The two linear equations are

y=4x-9 and

y=2x-5

We that the following points for x : -1, 0, 1, 2, 3

When we substitute the values in the two equations we will have

x           y₁              y₂

-1         -13             -9

0           -9             -5

1             -5            -3

2            -1              - 1

3            3                1

Conclusively the values of y₁, and y₂ are shown in the table above

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Answer: o.7619

Step-by-step explanation: i used the standard algorithm i am sorry i cant do a more in depth just hard to do with words ;)

Answer: 0.7619

:)

Step-by-step explanation:

Logical partition - A partition within an extended partition

System partition - The partition where you place the boot loader

Primary partition - The section of the hard drive that will become the bootable drive

IBM and Microsoft initially kept internal lists of designated partition types to be used in the MBR partition table. As the market for PC operating systems and disc tools expanded and became more open, other suppliers also needed to give their products specialised partition kinds. Third parties began to merely allocate partition types on their own behalf in a largely uncoordinated trial-and-error fashion because Microsoft neither documented all of the partition types already given by them nor wished to retain foreign assignments. This resulted in several conflicting assignments, which occasionally caused serious compatibility issues between certain products. [1]

In the 1990s, a number of industry professionals including Hale Landis, Ralf D. Brown, Matthias R. Paul, and Andries E. Brouwer began investigating partition kinds.

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40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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Best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake

Mrs. Campos is making cupcakes for a bake sale. She uses the equation c = 0. 55x to determine the cost, c, for x cupcakes. Which best represents the constant rate at which cupcakes are sold at the bake sale?

55 cupcakes per dollar

$0. 55 per cupcake

$4 per cupcake

c = 0. 55x

to determine the cost, c,

for x cupcakes.

CASE 1

55 cupcakes per dollar

therefor x = 55

c = 0. 55x

c = 0. 55 × 55

 = 30.25

case2

$0. 55 per cupcake

x = 1

c = 0. 55x

c = 0. 55 × 1

   =  0. 55

case 3

$4 per cupcake

x = 1

c = 0. 55x

c = 0. 55 × 1

   =  0. 55

therefor conclusion is best represents the constant rate at which cupcakes are sold at the bake sale $0. 55 per cupcake

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A value of 20 would fit the best in the table's empty cell to imply that there is no proof of a link between the variable and the outcome.

Option c is accurate.

The pattern between the supplied series must be found in order to determine the missing number. Verify that the series only shows increases, decreases, or both. The difference between two numbers should then be checked; this will help you discover the pattern.

To locate the missing numbers, the candidate must first identify the pattern or relationship between these numbers and then apply it.

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Answer:

$27

Step-by-step explanation:

If we know that %25 is equal to 1/4, or 0.25, then we can use an equation that look like this:
108 × 0.25 = 27

Therefore, the amount of the discount was $27

Solving for percentages can be tricky, and you may need help on trying to solve a problem including one. If you need to find a percentage of a number, the easiest way to do that is to convert the percentage into a fraction or decimal and multiply the total by that number.

For ex.

What is 15% of 60?

To do this, convert the percentage into a decimal.

15% converted into a decimal is 0.15.

Now multiply 60 by 0.15.

60 ÷ 0.15 = 9

So, the answer to this example would be 9.

A total of 3 five ounces glass are needed so have the same alcohol as that of a 12 ounce glass.

In order to find the number of glass of capacity five ounces that will have the same capacity as that of the twelve ounce glass can be calculated as followed,

Let us say that n number of five ounces glasses are required to equate 12 ounce glass.

Now, we can write the relation,

using simple algebra,

n(Five ounces glasses) = 1 Ounce alcohol content

n = 12/5

n = 2.4

But, we have to answer an integral value, so, we will say that the required number of the glasses is 3.

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The mortgage payment exists $954. 32/month then the annual realized income exists 42,414.22.

Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount in the principal part. Borrowing money has a cost, which is interest. Both the interest rate and the loan balance affect how much interest you pay.

You repay your mortgage loan through monthly payments. This will often be a monthly payment that aids in your gradual mortgage repayment. There will also be taxes, insurance premiums, and loan interest due.

Assume a mortgage repayment schedule that is reasonable, using 27% of gross monthly income.

The product of the monthly mortgage payment by 12 months, divided by the acceptable rate, yields the annual realized income.

[tex]$& \frac{\text { Mortgage }}{\text { Acceptable Rate\% }} * 12 \\[/tex]

substitute the values in the above equation, we get

[tex]$& =\frac{954.32}{0.27} * 12[/tex]

= 42,414.22

Therefore, the annual realized income exists 42,414.22.

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The mortgage payment exists $954. 32/month then the annual realized income exists 42,414.22.

Generally speaking, mortgage payments are made up of principal, interest, taxes, and insurance. The sum in the principle component is deducted from your outstanding loan balance. Interest is a cost associated with borrowing money. The amount of interest you pay depends on both the interest rate and the loan balance.

Monthly payments are made to pay down your home loan. This will frequently be a monthly payment to help you slowly pay down your mortgage. Taxes, insurance premiums, and loan interest will all need to be paid.

Assume a mortgage repayment schedule that is reasonable, using 27% of gross monthly income.

The product of the monthly mortgage payment by 12 months, divided by the acceptable rate, yields the annual realized income.

[tex]\frac{Mortage}{Acceptable rate } *12[/tex]

substitute the values in the above equation, we get

[tex]\frac{954.32}{0.27} *12[/tex]

= 42,414.22

Therefore, the annual realized income exists 42,414.22.

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The coordinates of the intersection of the diagonals of the parallelogram QRST is (0, 1/2)

The coordinates of the parallelogram QRST are:

Q = (-1, 3)

R = (5, 2)

S = (1, -2)

T = (-5, -1)

The diagonals of  parallelogram QRST are QS and RT.

Let M be the point of the intersection of the diagonals of the parallelogram QRST

The diagonals of a parallelogram bisect each other.

This means, M is midpoint of diagonals QS and RT.

Consider diagonal QS.

Let (x1, y1) = (-1, 3) and (x2, y2) = (1, -2)

Using midpoint formula the coordinates of M would be,

M =  ((x1 + x2)/2, (y1 + y2)/2)

M = ((-1 + 1)/2, (3 - 2)/2)

M = (0/2 ,  1/2)

M = (0, 1/2)

Therefore, the point of intersecton of QS and RT is (0, 1/2)

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The sequences of transformations could be applied is

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

From the picture we have, g(x) = -3x - 1

Parent function: f(x) = x

1)  Reflect over the y-axis gives g(x) = -x

Vertically stretch by a factor of 3 gives g(x) = -3x

Shift down 1 unit gives g(x) = -3x - 1

2) Shift left 2 units: g(x) = x+2

Reflect over x-axis: g(x) = -x-2

Vertically stretch by a factor of 3 gives g(x) = -3x -6

3) Shift right 1 unit: g(x) = x-1

Reflect over the y-axis: g(x) = -x-1

Vertically stretch by a factor of 3: g(x) = -3x -3

4) Shift right 1 unit: g(x) = x-1

Reflect over the x-axis: g(x) = -x+1

Vertically stretch by a factor of 3: g(x) = -3x +3

5) Reflect over the x-axis: g(x) = -x

Vertically stretch by a factor of 3: g(x) = -3x

Shift down 1 unit: g(x) = -3x - 1

6) Shift down 1 unit: g(x) = x - 1

Reflect over the x-axis: g(x) = -x + 1

Vertically stretch by a factor of 3: g(x) = -3x + 3

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Answer:

Step-by-step explanation:

122121

In an amphitheater, seat are arranged in 50 semi-circular row-facing a dome Tate. The first row contain 23 seat, and each row contain 4 more eat than the previous row. Therefore, there are 6050 seat are in the amphitheater.

Given that:

There are total 50 semi circular row.

In the first row there are 23 seats.

The given problem is AP series:

Arithmetic Series:

An arithmetic sequence is defined as an algebraic sequence in which each successive term has an equal difference. It is obtained by adding a constant to any preceding term. For the first term 'a' and the tolerance 'd' of the AP, here is a list of commonly used arithmetic progressions to solve various AP related problems:

where l is the last term in the arithmetic progression.

Now,

Sum of n terms  = n/2 [ 2a + (n-1)d]

                          = 50/2 [ 2× 23 + (50 -1)4]

                          = 25 [46 + 49×4]

                          = 25 × 242

                          = 6050

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The expression that represents the perimeter of the rhombus is 2d√17

How to determine the expression that represents the perimeter of the rhombus?

From the question, we have the following parameters that can be used in our computation:

The length of one diagonal of a rhombus is 4 times the length of the other diagonal.

This means that

Length 1 = 4 * Length 2

From the question, we have

Let d be the length of the shorter diagonal.

This means that

Length 1 = 4d

Length 2 = d

The perimeter of the rhombus from the diagonals is calculated as

P = 2√(Length 1² + Length 2²)

Substitute the known values in the above equation, so, we have the following representation

P = 2√((4d)² + d²)

Evaluate the exponents

P = 2√(16d² + d²)

So, we have

P = 2√(17d²)

Evaluate the exponents

P = 2d√17

Hence, the perimeter is 2d√17

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