For which value of x must the expression V59X be further simplified?

Answer:

Step-by-step explanation:

To find the original price given the new price and percentage discount we use the formula

\(original \: \: price = \frac{100}{(100 - x)} \times new \: \: price \\ \)

where

x is the percentage discount

From the question

new price = $ 84

% discount = 30%

Substitute the values into the above formula and solve

That's

\(original \: \: price = \frac{100}{100 - 30} \times 84 \\ = \frac{100}{70} \times 84 \\ = \frac{10}{7} \times 84 \\ = 12 \times 10\)

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

84*0.30= $25.2

84+ 25.2 = $109.2

Answer:

d) 1/12

Step-by-step explanation:

Answer:

6000 lbs

Step-by-step explanation:

A ton is 2000 lbs

2000 x 3 = 6000

The value of y is 48.

To find the value of y in this scenario, we need to use the fact that the angle bisector of ∠JSL splits it into two congruent angles.

Let's denote one of these congruent angles as ∠HSL and the other as ∠LSJ. Since ∠JSL is bisected, we have:

m∠JSL = m∠HSL + m∠LSJ

Given that m∠JSL = (4y - 10)° and m∠HSL = m∠LSJ = ∠HSJ = (y + 43)°, we can substitute these values into the equation:

4y - 10 = (y + 43) + (y + 43)

Simplifying the equation:

4y - 10 = 2y + 86

Subtracting 2y from both sides:

2y - 10 = 86

Adding 10 to both sides:

2y = 96

Dividing both sides by 2:

y = 48

Therefore, the value of y is 48.

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Step-by-step explanation:

that is right answer and correct

Answer:

Step-by-step explanation:

\(\frac{3}{n}\) - 10.

The quotient of 3 and a number translates to \(\frac{3}{n}\), then, all you have to do is subtract 10 from that value, giving the expression above.

The approximate x-values for the local maximum and the local minimum are given as follows:

D) max ≈ -0.3 , min ≈ 2.3.

Hence the critical points of the graphed function are given as follows:

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Answer:

54.45 in²

Let the base and height be 9.9 inches and 5.5 inches respectively.

Formula;

Area of parallelogram = Base × Height

Substitute the base and the height in the formula:

Evaluate the area of the parallelogram:

Answer:

54.45 in²

Step-by-step explanation:

Formula

Area of a parallelogram = base × height

If you turn the parallelogram so that the sides that measure 9.9in are the base, you will see that 5.5in is the height (refer to the attached diagram).  Therefore, we can use the formula with these values to calculate the area.

Given:

⇒ area = 9.9 × 5.5 = 54.45 in²

Answer:

32

Step-by-step explanation:

1-4

Answer:

1331/x =x²/1331

cros multiplying

x³=1331²

x=³√(1331²)

-0.25 is the z-score of a person who scored 80 on the exam.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data

Given,

On a standardized exam, the scores are normally distributed

mean is 85 and a standard deviation is 20.

We need to find z-score of a person who scored 80 on the exam.

Z=x-μ/σ

x=80, μ=85 and σ=20

Z=80-85/20

Z=-5/20

Z=-1/4

Z=-0.25

Hence, -0.25 is the z-score of a person who scored 80 on the exam.

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Answer: 12 INCHES

Step-by-step explanation:

Answer:

-2.78

Step-by-step explanation:

You first divide and then multiply.

Answer: 44

Step-by-step explanation:

Answer:

\(6.25\)

Step-by-step explanation:

\(We\ are\ given:\\Observations\ in\ the\ Set=(7,5,4,9)\\ As\ we\ know\ that,\\ Average\ or\ interchangeably\ mean=\frac{Total\ Sum\ of\ observations }{Total\ no.\ of\ observations} \\Here,\\Total\ sum\ of\ the\ observations=7+5+4+9=25\\Total\ number\ of\ observations=4\\Hence\ here,\\Mean/Average=\frac{25}{4}=6.25\)

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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Hope this helps! :)

Answer: 714

Step-by-step explanation:

42 • 17 = 714

divide to check if it is correct

714 ÷ 42 = 17 or 714 ÷ 17 = 42

hope it helps!

Answer:

No.of sweets in one box = 42

No.of sweets in 17 boxes = 42 x 17

                                          = 714

The fisherman can expect to catch 120 unhealthy salmon during the next month.

We can use the proportion of unhealthy to healthy salmon that was seen in the fisherman's catch of 15 salmon (12 unhealthy, 3 healthy) and multiply that proportion by the total amount of salmon he plans to catch (150) to find our answer.

Unhealthy = 150 × (12/15)

Unhealthy = 120

Therefore, the fisherman can expect to catch 120 unhealthy salmon during the next month.

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So, we can find the percent of error using the following proportion:

The value of function f (4) is,

⇒ f (4) = 19

We have to given that;

The function is,

⇒ f (x) = x² + 3

Now, WE can find the value of f (4) by substitute x = 4 in above function as,

⇒ f (x) = x² + 3

Plug x = 4;

⇒ f (4) = 4² + 3

⇒ f (4) = 16 + 3

⇒ f (4) = 19

Thus, The value of function f (4) is,

⇒ f (4) = 19

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Answer: g > -8

Step-by-step explanation:

sadmep

6 jars = 1 box

12 box = 1 package

Let jars be "j", boxes be "b", and packages be "p". So, we can write:

We need "j" in terms of "p", so we substitute however we can.

Putting first equation into 2nd, we get:

This tells us that there are 72 jars is a whole package.

Re-arranging the equation to solve for j, we have:

Answer:

The  drawing of the number line representing the bank balances is attached below . Kyle owes the bank more money than Jason.

The number line a physical representation of all real numbers. A number line is basically a graph of all real numbers. A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

On the number line all the values of the bank balances of the 3 siblings are given.

Kyle owes the bank $2.25 , therefore Sue has $2.25 in her bank account.

Now we can see in the number line that -2.25 is to the left of -2.0 ,

therefore we can say that:

|-2.25| > |-2.00|

as the absolute value of the given balance .

But  -2.25 < -2.00

Hence Kyle owes more money to the bank as represented on the number line.

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Answer:

$400

Step-by-step explanation:

Lets money that Anthea got be 2x

than Barry's money be 5x and Carol's be x

Barry got $200 more than Carol

This means that 5x is 200 more than x

5x = x + 200

4x = 200

x = 50

The sum of money is 2x + 5x + x

so this is 8x

8x = 50 * 8 = 400

The eigenvalues of a matrix are roots of its characteristic polynomial using this we prove  that a square matrix and its transpose have the same characteristic polynomial.

A collection of numbers lined up in rows and columns to form a rectangular array is called a matrix. The elements, or entries, of the matrix are the integers. In addition to numerous mathematical disciplines, matrices find extensive use in the fields of engineering, physics, economics, and statistics. In computer graphics, where they have been used to describe picture rotations and other transformations, matrices have vital applications as well.

Recall that the eigenvalues of a matrix are roots of its characteristic polynomial.

Hence if the matrices A and A Transpose have the same characteristic polynomial, then they have the same eigenvalues.

So we show that the characteristic polynomial pA(t)=det(A−tI) of A is the same as the characteristic polynomial p\(A^T\) (t)=det(A ^T−tI)of the transpose \(A^T\).

We have,

p\(A^T\)(t)=det(\(A^T\) −tI) =det(\(A^T\) −tI T )

=det((A−tI) \(A^T\) )

=det(A−tI)

=pA(t)

Since I ^T =I

Since det(\(B^T\) )=det(B)for any square matrix B

Therefore, we obtain p\(A^T\) (t)=pA(t), we conclude that the eigenvalues of A and \(A^T\) are the same.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°