toby buys a new mp3 player for the price of 45.5. what is the total amount his credit card is charged if the sales tax is 7%

Step-by-step explanation: When you divide the 2 by 9, you get like 0.222222 (and it repeats forever), then since the 2 is less than 5, you round down, so it would be 0.22 after rounding. I hoped this helped!

Step-by-step explanation:

3x(-2x + 5) = 3×-2×x×x + 3×5×x =

= -6x² + 15x

so, the 4th answer option is correct.

The value of h in the statement one-seventh plus h equals nine sevenths

is 8/7.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

The main concept of numerical expression is to interpret the data and convert it into numbers and their operations.

The given statement one seventh plus h equals nine sevenths can be numerically expressed as (1/7) + h = (9/7).

h = 9/7 - 1/7.

h = (9 - 1)/7.

h = 8/7.

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Answer: rotation 90 degrees counterclockwise about the origin I believe. lmk

Step-by-step explanation: counterclockwise is the key word. im jus using common sense cuz counterclock wise is from the left, and there is a rotation. lmk if it wrong tho

Answer:

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

Let the length be l and width be w.

Given:

Substitute l and solve for w:

Find the value of l:

If the fixed cost is $15, it is able to be removed from the two-hour charge to give the charge of ONLY the two hours, which is $150.

This means the hourly charge is $150÷2, which is $75

1 is the root of the equation cosx = x² in the interval  [0, pi]/

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given equation is cosx = x²

cosx-x²=0

y(x)=cosx-x²

y(0)=1

y(π)=-1-π²

y(π)<0<y(0) and y is continuous, there must be a value of x in [0, pi]

where

cosx−x²=0.

Hence, 1 is the root of the equation cosx = x² in the interval  [0, pi].

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The actual average score on the vocabulary test is 91.8.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mr. Johnson predicted the average score on the vocabulary test he gave would be 85 points and his prediction was 8% lower than the actual average score.

The actual score will be:

= 85 + (8% × 85)

= 85 + 6.8

= 91.8

The actual score is 91.8.

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Answer:

±3i√3

= -3i√3 or 3i√3

Step-by-step explanation:

Simplify the complex radical

The equation that is a quadratic is 2(x + 5)4 + 2x² + 5 = 0

Option C is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

A quadratic equation is an equation with a second degree in x.

Now,

[tex]x^4[/tex] – 6x² – 27 = 0

This is not second-degree in x.

3[tex]x^4[/tex] = 2x

3x³ = 2

This is not the second degree in z.

2(x + 5)4 + 2x² + 5 = 0

8x + 40 + 2x² + 5 = 0

2x² + 8x + 45 = 0

This is in the second degree in x.

6(2x + 4)2 = (2x + 4) + 2

24x + 48 = 2x + 4 + 2

22x + 42 = 0

This is not in the second degree of x.

6[tex]x^4[/tex] = -x² + 5

This is not in the second degree of x.

8[tex]x^4[/tex] + 2x² – 4x = 0

This is not in the second degree of x.

Thus,

The quadratic equation is 2(x + 5)4 + 2x² + 5 = 0

Option C is the correct answer.

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Answer:

top right :)

Step-by-step explanation:

you can use the ruler trick! if you drag a ruler across the math problem and it crosses two lines at the same time then it's not a function. same goes for points. and as you can see if I were to drag a ruler across this one you won't pass two points at once!

Answer: $647,574

Step-by-step explanation:

Capital assets are significant pieces of property such as homes, cars, investment properties, stocks, bonds, and collectibles or art. For businesses, a capital asset is an asset with a useful life longer than a year that is not intended for sale in the regular course of the business's operation.

The capital asset is recorded as its value regardless of any loan that may have been used to purchase it.

Capital assets here are: Home value, work equipment, car, and investments.

All other items are liabilliabilities.

The total value of the doctor's capital assets will be $647,574. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Significant pieces of property including houses, automobiles, rental properties, stocks, bonds, and collectibles or works of art are referred to as capital assets. An asset having a useful life longer than a year that is not intended for sale during normal company operations is referred to as a capital asset for enterprises.

The assets and liabilities of a doctor are listed below.

Home Value                         $475,732

Mortgage                              $105,678

Credit Card Balance             $7,264

Owned Work Equipment     $45,798

Car Value                              $50,761

Investments                          $75,283

Personal Loan                      $32,187

The total value of the doctor's capital assets will be given as,

⇒ $475,732 + $45,798 + $50,761 + $75,283

⇒ $647,574

The total value of the doctor's capital assets will be $647,574. Then the correct option is D.

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Answer:

This is a problem of weighted averages and can be solved with a system of equations.

Let's define:

- `x` as the amount (in lbs) of the cheaper chocolate,

- `y` as the amount (in lbs) of the expensive chocolate.

We can set up the following equations:

1. `x + y = 62.4` (the total amount of chocolate we want)

2. `$2.10x + $9.90y = $2.40 * 62.4` (the total cost of the chocolate mixture)

The second equation represents the total value of the chocolate, while the first represents the total weight.

We can solve this system of equations using substitution or elimination. In this case, it may be simpler to use elimination.

Let's first transform the second equation to get rid of the dollar signs:

2.10x + 9.90y = 2.40 * 62.4

2.10x + 9.90y = 149.76

Let's now multiply the first equation by 2.10 (the price per lb of the cheaper chocolate):

2.10x + 2.10y = 2.10 * 62.4

2.10x + 2.10y = 131.04

Subtracting the second equation (multiplied) from the original second equation, we get:

9.90y - 2.10y = 149.76 - 131.04

7.80y = 18.72

Solving for y, we get:

y = 18.72 / 7.80 = 2.4 lbs

Substituting y = 2.4 into the first equation:

x + 2.4 = 62.4

x = 62.4 - 2.4 = 60 lbs

So, you will need 60 lbs of the cheaper chocolate and 2.4 lbs of the expensive chocolate to obtain the desired mixture.

Answer:

In 2010, the average selling price was $700, and in 2012, the average selling price was $560.

Answer:

-2

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] * -3

=        [tex]\frac{2}{3}[/tex] * [tex]-\frac{3}{1}[/tex]

= [tex]-\frac{6}{3}[/tex]

= [tex]-\frac{2}{1}[/tex]

= -2

Answer:

A,C

Step-by-step explanation:

A,C

Functions have only one output for every input

The value of x = -84/17, y= 24/17 and z = 9/17

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

x -2y + z= -6

x- 5z= -12

-x+ 6y + 4z = 3

Put x= -12+ 5z in equation 1 and 3

-12+ 5z - 2y + z= -6

6z - 2y = 6

3z - y= 3............(a)

and, 12 - 5z + 6y + 4z = 3

6y - z = -9.......(b)

Solving a and b we get

6(3z- 3) - z = -9

18z - 18 - z= -9

17z = 9

z= 9/17

and, y= 3(9/17) - 3 = 24/17

and, x = -12 + 120/17= -84/17

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Answer:

Step-by-step explanation:

You want a system of equations and a graphical solution for the scenario that the weight of peaches sold (y) is 3 times the weight of apples sold (x), and the revenue from sales of apples at $3/lb and peaches at $4/lb was a total of $240.

The revenue equation can be ...

  3x +4y = 240

The relation between pounds of each fruit sold can be ...

  y = 3x

The graph is attached. The solution is (x, y) = (16, 48).

16 pounds of apples and 48 pounds of peaches were sold.

__

Additional comment

We note that the 3x in the first equation can be substituted by y using the second equation. This gives 5y=240, or y = 48. Then 3x=48, so x=16. This agrees with the graphical solution, as it should.

The length of the MN is 9.4.

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

We have,

Triangle NML.

NL = 12

Sin 51 = NM / NL

0.78 = NM / NL

MN = 0.78 x NL

MN = 0.78 x 12

MN = 9.36

Rounding to the nearest tenth.

MN = 9.4

Thus,

MN is equal to 9.4.

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The measures of two angles in the order from the smallest to the greatest are 21° and 69°.

What is a right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

Given the acute angle of a right triangle is 6 more than 3 times the measure of the other small angle.

Assume that the measurement of smaller angle is x.

Then the mathematical expression of 6 more than 3 times of x is 6 + 3x.

The measure of third angle is 90° since it a right triangle.

The sum of all interior angles of a right triangle is 180°.

The equation is

x + (6 + 3x) + 90 =180

x + 6 + 3x + 90 =180

Combine like terms:

(x + 3x) + (6 + 90) = 180

4x + 96 = 180

Subtract 96 from both sides:

4x = 180 - 96

4x = 84

Divide both sides by 4

x = 21

Putting x = 21 in the expression (6 + 3x) :

6 + 3x = 6 + 63 = 69.

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The individual charges of Nikki and Dave are mentioned in the table -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

The complete question is shown in the image attached in the end.

For Nikki, the charge function is given as -

n = 20r

We can write the charge function for Dave as follows.

We have the following points -

(1, 12.50) and (4, 50)

The charge function is equivalent to -

n = {(50 - 12.5)/(4 - 1)}r

n = (37.5/3)r

n = 12.5r

We can write the table for both Nikki and Dave as -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

Therefore, the complete table representing the individual charges of Nikki and Dave are -

Nikki            Dave

$20             $12.5

$40              $25

$60             $37.5

$80              $50

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Answer:

To find the equivalent of 2 4/5 + 4/6, we first need to convert the mixed numbers to improper fractions. To do this, we multiply the whole number part of the mixed number by the denominator of the fraction part, and add the result to the numerator of the fraction part. So 2 4/5 becomes 2 * 5 + 4 = 14/5. Similarly, 4/6 becomes 4 * 1 + 6 = 10/6.

Next, we need to find a common denominator for the two fractions so that we can add them. A common denominator for 14/5 and 10/6 is 30, so we convert both fractions to have a denominator of 30. To convert 14/5 to have a denominator of 30, we multiply the numerator and denominator by 6, which gives us 14 * 6 / 5 * 6 = 84/30. Similarly, we multiply the numerator and denominator of 10/6 by 5 to get 10 * 5 / 6 * 5 = 50/30.

Now that both fractions have a denominator of 30, we can add them to get the equivalent of 2 4/5 + 4/6. This gives us 84/30 + 50/30 = 134/30. Finally, we simplify the fraction to get the final answer, which is 134/30 = 4 8/30 = 4 4/15. So, the equivalent of 2 4/5 + 4/6 is 4 4/15.

The inequality of the solution is  x   >   15.

Make use of the following procedures to solve an inequality:

We need to eliminate the coefficient that multiplies the variable in this linear inequality in order to isolate it.

By dividing both sides by 4, this may be done.

The inequality of  the solution is

  4x≥60.

=[tex]\frac{4x}{4} \geq\frac{60}{4} \\\\= \frac{x}{1} \geq 15\\\\x\geq 15[/tex]

The inequality of the solution is  x   >   15.

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Answer:

you really just click on peoples questions and just be like sorry im just here for the points so im doing it to you

Step-by-step explanation:

Answer:

x = 17√3 ;  y = 34√2 ; z = 34

Step-by-step explanation:

angle 30° = hypotenuse double of leg

hypotenuse = 17 · 2 = 34

x = 17 · √3 = 17√3

Angle of 45 degrees = two equal legs

z = 34

For the Pythagorean theorem

y = [tex]\sqrt{34^2 + 34^2} = \sqrt{2 (34)^2} = 34\sqrt{2}[/tex]

Answer:

Your answer is: x = 17√3 ;  y = 34√2 ; z = 34. Hope it helps.

Step-by-step explanation:

Answer:

1 7/19

Step-by-step explanation:

First, to solve this problem, you change the mixed fraction to improper fractions:

13/3 / 19/6

Now, you make it into a multiplication problem by multiplying the first number by the reciprocal of the second number.

13/3 x 6/19

Simplify :

13/1 x 2/19

Multiply the numerators by denominators to get the total:

26/19 or simplified: 1 7/19

Cost of shrub is $4 and Cost of hosta is $3. Cost is the value of money that was spent on producing or providing a service and is therefore no longer available for use.

The term "cost" can refer to the amount of money or other resources that are required to produce, acquire, or obtain something. In business and economics, cost is often used to refer to the total expense associated with a product or service, including materials, labor, and other expenses.

Micaela spent a total of $33 on 3 hostas and 6 shrubs. Since the cost of the hostas is H x 3 and the cost of the shrubs is S x 6, we can write the following equation:

H * 3 + S * 6 = 33

Similarly, Sumalee spent a total of $42 on 6 hostas and 6 shrubs, so we can write the following equation:

H * 6 + S * 6 = 42

cost 3 hostas and 6 shrubs = $33

cost 6 hostas and 6 shrubs = $42

Cost difference 33 - 42 = 9

So, cost of 3 hostas = $9

Cost of one hosta = $9/3 = $3

$9 + cost of 6 shrubs = $33

cost of 6 shrubs = $33- $9 = $24

Cost of one shrub = $24/6 = $4

Cost of shrub is $4 and Cost of hosta is $3.

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