The cost of a stereo cable has dropped to $12 this week. Last week's cost was $19 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.

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Answer: -2 !

Step-by-step explanation: All you have to do is simplify the equation !

Answer:

Step-by-step explanation:

The rule in adding unlike integers(integers with different signs) is to subtract the two integers and copy the sign of the bigger number. So     6 + (-8) = -2

Answer: -5x+6

Step-by-step explanation:

simplify by distributing the numbers on the outside, to the ones in the binomial

Answer:

-5x + 6

Step-by-step explanation:

First, rearrange the terms, you will have -2x-4(3x-10) Next, Distribute, you will have -2x-4-3x+10. Now, add the numbers without variables, you'll get -2x+6-3x. Finally, combing the like terms and you arrive with -5x+6.

Answer:

The first step in solving this system of equations by elimination method is to eliminate one of the variables by adding or subtracting the two equations.

-9x - 4y = 1

3x + 3y = 3

If we multiply the first equation by 3 and the second equation by -9, we get:

-27x - 12y = 3

-27x - 27y = -27

Now we can add these two equations:

-12y = -24

y = 2

Now we can substitute this value of y back into one of the original equations to find the value of x.

-9x - 4(2) = 1

-9x - 8 = 1

-9x = 9

x = -1

So the solution of this system of equations is (x,y) = (-1,2)

Answer:

You just have to plug in one equation into the other, though you might already know this but the answer would be,

(-1,2)

Answer:

1. 6

2. 8

3. 80

4. 11

5. 60

6. 3

7. 30

8. 0.8

9. 5

10. 600

11. 150

12. 110

13. 15

14. 1.1

15. 36

Hope it helps

Since triangle A'B'C' is an image of triangle ABC after a rotation and the center of rotation is D, the length of side B'C' is equal to 4 units.

In Mathematics, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Generally speaking, rotation simply refers to a type of transformation that preserves both the shape and side lengths of a geometric figure.

In this context, we can reasonably infer and logically deduce that the magnitude of side length BC before a rotation of the triangle would be equal to side length BC B'C' after rotation:

Side BC = side B'C'

4 = 4

In conclusion, the length of side B'C' is equal to 4 units.

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Complete Question:

In the picture triangle A'B'C' is an image of triangle ABC after a rotation. The center of rotation is D.

What is the length of side B'C'?

The derivative of 7e to the 7x is 7e to the 7x * 7ln(e) * 7. The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x.

1. Take the natural logarithm of the base: ln(e7x)

2. Take the derivative of the natural logarithm: 7x*ln(e)

3. Apply the chain rule: 7e7x * 7ln(e) * 7

The derivative of 7e to the 7x can be found by first taking the natural logarithm of the base, in this case e7x. The natural logarithm of e7x is ln(e7x). Taking the derivative of the natural logarithm yields 7x*ln(e). We then apply the chain rule to get the final result of 7e7x * 7ln(e) * 7. In other words, the derivative of 7e to the 7x is equal to 7 multiplied by e raised to the 7x power, multiplied by 7ln(e), and then multiplied by 7 once more. This can be simplified to 7e7x * 7ln(e)7.

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Answer:

T=6 NUMBER OF TEN DOLLAR BILLS.

F=13 NUMBER OF FIVE DOLLAR BILLS.

Step-by-step explanation:

F+T=19 F=19-T

5F+10T=125 NOW SUBSTITUTE (19-T) FOR F IN THIS EQUATION & SOLVE FOR T

5(19-T)+10T=125

95-5T+10T=125

5T=125-95

5T=30

T=30/5

PROOF

5*13+10*6=125

65+60=125

125=125

Answer: Numeric is anything of, relating to, or containing numbers. The numbering system consists of ten different digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. If a value is an alphanumeric, it contains letters and numbers.

Step-by-step explanation:

Answer:  542+(87+41) = 670

Step-by-step explanation:

The value for the expression 6 + 9w - 5s is 59.

You must substitute a number for each variable and carry out the arithmetic procedures to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the case above equals 6. If we are aware of the values of our variables, we can replace the variables with those values before evaluating the expression.

When the variables and constants of an expression are given values, the outcome of the computation it describes yields the expression's value. The quantity that the function assumes for these argument values is the value of the function, given the value(s) assigned to its argument(s).

The expression 6 + 9w - 5s when w = 7 and s = 2.

                          6 +(9*7 - 5*2) = 6+63 - 10 = 59.

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Using Sabah's function, ($1125, $500) is the right ordered pair. It is not a function if any of the x values are the same, but this is not true if the y values are different.

A set of ordered pairs is not a function if an x value has more than one y value associated with it. For instance, in the relation (4, 1), (4, 2), the x-value of 4 has y-values of 1 and 2, indicating that this relation is not a function. The connection is a function if each x-value has a single corresponding y-value.

An ordered group of pairs makes up a relation (x, y). A pair that has two values stated in a specific order between parenthesis is known as an ordered pair. It is made up of the x coordinate (abscissa) and the y coordinate (ordinate). For greater visual comprehension, it helps to locate a point on the Cartesian plane. An ordered pair of numbers can have either fractional or integer values.

Therefore the correct answer is ($1125, $500) .

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The smallest integer greater than 38 which cannot be the length of the hypotenuse of a right triangle is 39.

Since 39 is divisible by 3, it cannot be the hypotenuse in any Pythagorean triples. Because for primitive Pythagorean triples, the hypotenuse is never divisible by 3.

A primitive Pythagorean triple is one where a, b and c are coprime (which is, they have no common divisor larger than 1). For example, (3, 4, 5) is a primitive Pythagorean triple while (6, 8, 10) is not. For any primitive Pythagorean triple the integer c or the hypotenuse cannot be divisible by 3. Divisibility by 3 is only reserved for spots a and b.

There are an infinite number of Pythagorean triples. If 2n+1 is a square, it forms a Pythagorean triple. But 2n+1 comprises all the odd numbers; each of other square numbers is odd; there are an infinite number of odd squares; thus, there are an infinite number of Pythagorean triples.

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The value of 'n' in this right-angled triangle is n = 8.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

Therefore, From the given information 3.4n + 9.2n - 10.8 = 90.

12.6n = 100.8

n = 100.8/12.6.

n = 8.

So, The value of n is 8.

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Yes, the quadratic parent function is the parabola.

The term parent function in math is defined as the simplest function of a family of functions that preserves the definition or shape of the entire family.

Here we have to identify that whether the quadratic parent function is a parabola or not.

According to the definition of parent function, the quadratic parent function is written as,

=> f(x) = x²

And here we also know that the quadratic function is one of the form

=> f(x) = ax² + bx + c

here a, b, and c are refers the numbers with a not equal to zero.

Here we all know that the graph of a quadratic function is a curve called a parabola.

which tells, the the quadratic parent function also have the graph as parabola.

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The fraction of people were born in France is 7/24 .

What is a Pie Chart?

A pie chart is a graphical representation used to describe the composition of a data using degrees or percentages.

Given,

The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in.

So, from the given pie chart

105° is given as the number of people that were born in the France

That's about: 105/360 × 120 = 35 people.

35 out of 120 people would give us a fraction of: 35/120 = 7/24 .

Hence, The fraction of people were born in France is 7/24 .

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The given expression is equivalent  to 125.

What is algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants .

The given expression is

(5^-2) (5 ^ -1 )

The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents

(5^-2) (5 ^ -1 )  = 5 ^ (-2-1)

= 5 ^ -3

= 1/(5*5*5)

Then, we use the negative exponent property

= 1/125

Finally, we solve the power

1/5*5*5 = 1/125

Therefore, the given expression is equivalent to 125.

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-9x+5=-9x-1+6 is the equation which has no solution.

Two or more expressions with an Equal sign is called as Equation.

The given equation is -7x+2x+5-4x=_x+6

Add the variable on left hand side

Minus seven times of x plus two times of x plus five minus four times of x equal to x plus six.

-9x+5=-9x-1+6

Hence, -9x+5=-9x-1+6 is the equation which has no solution.

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The type of isometry is shown, there are orientations with the same; rotation. The correct answer would be an option (C).

Any isometry in the plane is a miracle combination of a rotation, a reflection, and a translation. In three dimensions, the issue becomes a little more difficult since each isometry is a combination of a translation, a reflection, and a rotation about a particular axis.

The figure on the right is an isometry of the figure on the left.

As per the question,

The type of isometry is shown, there are orientations with the same and rotation.

Hence, the correct answer would be option (C).

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The area of yellow rectangles KH'C'J and LJE'A' is greater than the area of blue rectangle DFCE. .

Rectangle is a flat, four-sided shape with four right angles and a pair of parallel lines. It is one of the most basic and commonly used shapes in geometry. It is also the most common shape used in architecture and construction. Rectangles have area, perimeter, and diagonal measurements, which makes them a useful tool for measuring and calculating. They are also used in a variety of other applications, such as designing window frames, creating art, and laying out floor plans.

To determine the area of DFCE, multiply the length of the base (DF) by the height (CE). The area of the two yellow rectangles, KH'C'J and LJE'A', can be determined by adding the area of each rectangle. The area of rectangle KH'C'J is equal to the product of the length of its base (KH') and the height (C'J). The area of rectangle LJE'A' is equal to the product of the length of its base (LJ) and the height (E'A'). Adding the areas of both yellow rectangles gives us the total area of both, which is greater than the area of blue rectangle DFCE.

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Is the relation shown below is not a function.

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A compound shape is a shape that is made up of other simple shapes. In this article, we will be working out the area of an L shape (made up of two rectangles). To find the area of a compound shape, follow these simple steps:

Step 1: Work out the missing lengths around the edge of the compound shape.

Step 2: Divide your L shape into two rectangles. This can be done in 2 different ways (both methods will give the same answer).

Step 3: Work out the area of each rectangle. Do this by multiplying the base of the rectangle by the height of the rectangle.

Step 4: Add the areas of the rectangles together to give the total area of the L shape.

Complete question: How do you find the area of an L angle?

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Rectangles have the following properties:

A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

A rectangle's opposite sides are the same length (congruent). A rectangle's angles are all congruent (the same size and measure.) The term "right angle" refers to an angle that is 90 degrees or more. A rectangle therefore has four right angles. A rectangle's opposing angles are congruent.

Therefore, options A, B, D , are correct.

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The 90 km distance between orlando and New York meant that the freight train was closer to the station in New York.

A linear equation is one that satisfies the algebraic formula y=mx+b. The foregoing sentence is sometimes referred to as a "linear equation with two variables" because y and x are variables. Bivariate linear equations are two-variable linear equations. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

The New York to Boston train was traveling farther and quicker.

Even though it was delayed and moved more slowly, the train from Boston to New York is closer to New York.

1.5 hours from the New York station, the two trains crossed paths.

By this time, the passenger train from New York to Boston was 120 kilometers away from the station in New York.

The 90 km distance between orlando and New York meant that the freight train was closer to the station in New York.

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Answer: 570

Step-by-step explanation: In survey the total customers were 150 so our sample size is 150.

Total number of First time customer = 95

Probability of being a first time customer = 95/150 = 0.63

So on first day using same probability the first time customers will be 900 × 0.63 = 570

Answer:

Step-by-step explanation:

3x+6y = 18

y=4

2x+5y= 24

y=9.5

The slope of the line (-3, 4) and (0, 2) is -2/3.

In the given question, we have to find the slope of the line (-3, 4) and (0, 2).

A line's slope is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

The given points are (-3, 4) and (0, 2).

We can find the slope from the given point using the formula

m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

From the given points;

x(1) = -3, y(1) = 4, x(2) = 0, y(2) = 2

Now putting the values in the formula;

m = (2 - 4)/(0 - (-3))

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

m = -2/3

Hence, the slope of the line (-3, 4) and (0, 2) is -2/3.

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The solution to the equation x² + 3x - 5 = 0 are ( -3 - √( 29 ))/2 and ( -3 +√( 29 ))/2.

The quadratic equation in its standard form is;

ax² + bx + c = 0

Where x is the unknown

To solve for x, we use the quadratic formula

x = (-b±√(b² - 4ac)) / (2a)

Given the equation in the question;

x² + 3x - 5 = 0

Hence;

a = 1

b = 3

c = -5

We substitute this values into the quadratic formula above.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -3 ± √( 3² - ( 4 × 1 × -5) )) / ( 2 × 1)

x = ( -3 ± √( 9 - ( -20 ) )) / ( 2 )

x = ( -3 ± √( 9 + 20 )) / 2

x = ( -3 ± √( 29 )) / 2

x = ( -3 - √( 29 ))/2, x = ( -3 +√( 29 ))/2

Therefore, the two values of x are  ( -3 - √( 29 ))/2 and ( -3 +√( 29 ))/2.

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Answer:

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

Hope this helps!

Step-by-step explanation:

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

b = ( -2, 0 )

a = ( -5, -2 )

[tex]slope = \frac{0 - (-2) }{-2 - ( -5)}[/tex]

slope = [tex]\frac{2}{3}[/tex]