You want to buy a new TV the has a regular price of $450. It is on sale for 20% off.

What is the amount of discount?
$95.40

What is the sale price?

Answer:

x = 4

Step-by-step explanation:

5 multiplied by x and 5 multiplied by -3

5x - 15 = 11 -3(x - 2)

-3 multiplied by x and -3 multiplied by -2

5x - 15 = 11 - 3x + 6

Add 15 to both sides

5x = 26 - 3x + 6

Add 3x to both sides

8x = 26 + 6

Add 26 + 6

8x = 32

Divide 32 by 8

x = 4

The tenth term of the sequence 4, 5, 6, 7, 8, ... is 13.

Using this formula, we can find the tenth term as follows:

a10 = a1 + (10-1)

= 4 + 9

= 13

The given sequence is an arithmetic sequence where each term is obtained by adding 1 to the previous term. The first term, a1, is 4. To find the nth term, we use the explicit formula an = a1 + (n-1), which represents the pattern of the sequence.

By substituting the value of n as 10, we can calculate the tenth term, which is 13. This means that the tenth term in the sequence is obtained by adding 9 to the first term, 4.

Therefore, the tenth term of the sequence is 13.

To learn more about sequence click here

brainly.com/question/30262438

#SPJ11

Answer:

he can only stay for 6hr cause 7 hr would use his whole 20

Answer:

L : H Ratio = 3 : 8  , L as a fraction of H = 3/8

Step-by-step explanation:

Let the no. of Leon's tropical fish be = L

Let the no. of Harry's tropical fish be = H

Given : 2/3 L = 1/4 H

L / H = 1/4 (3/2)

L : H = 3 : 8

Let total fishes or common ratio = x

L = 3/11  (x) , H = 8/11 (x)

Fraction L / H = [ 3/11 (x) ] / [ 8/11 (x) ]

L / H = 3/8

Answer:

14. 2

15. 7

16. 3

17. 8

11. 490

12. 9

13. 27

Step-by-step explanation:

14. 15y = 30 --> y = 30/15 = 2

15. 7t = 49 --> 49/7 = 7

16. 4 + 4x = 16 --> 4x = 16 - 4 = 12 --> x = 12/4 = 3

17. 4x + 2x = 48 --> 6x = 48 --> x = 48/6 = 8

11. r/7 = 70 --> r = 490

12. k/9 = 6 - 5 = 1 --> k = 9

13. b/3 = 9 --> 27

*You may plug in to check :)

Answer:

The restaurant is at a profit of $250

The percentage of red pencils Mike had is 75%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mike had 180 blue and red pencils and 45 were blue.

So, The number of red pencils is,

= (180 - 45).

= 135.

Therefore, The percentage of red pencils is,

= (135/180)×100%.

= 75%.

Some other concept related to percentage is percentage change,  

The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

a-7x

in this case we can forget about the brackets, we can add 4x with 3x to get 7x, and add 6 to -6 which gives us 0, therefore we lose it and are left with only 7x

Answer:

a. 7x

Step-by-step explanation:

(4x - 6) + (3x + 6)

= 4x - 6 + 3x + 6

Combine like terms

= 4x + 3x - 6 + 6

= 7x

Ans: a. 7x

The conditioned response (CR) in this scenario is the feeling of illness that Jack experiences whenever he sees bread. It is a learned response that has been associated with the moldy bread incident and has become triggered by the sight of bread.

When Jack unknowingly ate the sandwich with moldy bread, he formed an association between the moldy bread and feeling ill. This association was established through classical conditioning, where an unconditioned stimulus (the moldy bread) became paired with an unconditioned response (feeling ill) due to its natural properties.

Over time, this association became learned, and the bread itself became a conditioned stimulus (CS).

As a result, whenever Jack now sees bread, the conditioned stimulus (CS), it triggers the conditioned response (CR) of feeling ill.

The association between the moldy bread and feeling ill has been generalized to bread in general, leading to the automatic and involuntary response.

The CR in this scenario demonstrates the power of conditioning and how an initially neutral stimulus (bread) can come to evoke a response (feeling ill) due to its association with an aversive experience (eating moldy bread).

This learned response can persist even after the initial incident and continue to affect Jack's emotional and physiological reactions to bread in the future.

Learn more about conditioned response (CR) here:

https://brainly.com/question/25999024

#SPJ11

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

The most important characteristic of a correlation coefficient is the absolute value.

The absolute value of a correlation coefficient represents the strength of the relationship between two variables, regardless of the direction of the relationship. A correlation coefficient can range from -1 to +1, where a value of -1 indicates a perfect negative correlation (i.e., as one variable increases, the other decreases), a value of +1 indicates a perfect positive correlation (i.e., as one variable increases, the other also increases), and a value of 0 indicates no correlation (i.e., there is no relationship between the variables).

The most important characteristic of a correlation coefficient is the absolute value.

The absolute value of the correlation coefficient represents the strength of the relationship between two variables, regardless of its direction. It indicates the degree to which the variables are associated with each other.

By focusing on the absolute value, we can assess the magnitude of the correlation without being influenced by whether it is positive or negative. For example, a correlation coefficient of -0.8 or +0.8 both indicate a strong relationship, while a correlation coefficient of 0 suggests no relationship.

The number of variables included is not a characteristic of the correlation coefficient itself, but rather a consideration in the analysis. One-tailed and two-tailed refer to the type of hypothesis being tested and are relevant in statistical testing. However, the absolute value of the correlation coefficient is crucial in determining the strength of the relationship between variables, making it the most important characteristic to assess in correlation analysis.

To know more about correlation coefficient refer here:

https://brainly.com/question/29704223

#SPJ11

Answer:

g = -2 3/4

Step-by-step explanation:

3 + g = 1/4

-3         -3

g     =     -2 3/4

There is a \(0.54\) probability that Bryan will choose a ham- or turkey-on-wheat sandwich at random.

The probability measures the likelihood of an event happening. It gauges how likely an occurrence is. P(E) = Number of Favorable Results of Total Outcomes is the formula for probability.

Blaise Pascal with Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how mathematicians and researchers perceived uncertainty and risk.

\(6+7=13\)

As a result, the following is the experimental likelihood of choosing a turkey or ham sandwich at random:

\(13+ 24=0.54\)

\(13/24 =0.54\)

According to the simulation's findings, there is a roughly \(0.54\) percent chance that Bryan will choose a turkey or ham sandwich at random.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

The average weight of a random sample of 50 NFL players is 244.4 pounds.

An equation shows the relationship between two or more numbers and variables.

For a samples size (n) in normally distributed population, the sample mean is normally distributed, with mean μX=μ and standard deviation σX=σ/√n.

Hence for a sample of 50 NFL players with an average weight of 244.4 pounds:

Mean = mean = 244.4 pounds

The average weight is 244.4 pounds.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

\(= (3+2) * 5\\= 5*5\\= 25ways\)

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:its c

Step-by-step explanation:

i took the test

Answer:

x=6

Step-by-step explanation:

6(2x -11) 15 =21

6 × 2x = 12x

6 × -11 = -66

12x -66 + 15 = 21

-66 + 15 = -51

12x -51 = 21

-51 + 51 = 0

21 + 51 = 72

12x = 72

12x ÷ 2 = 0

72 ÷ 12 = 6

x = 6

Answer:

b = 0

Step-by-step explanation:

4b + 6 = 2 - b + 4

4b + b = 2 + 4 - 6

5b = 6 - 6

5b = 0

b = 0 / 5

b = 0

Answer:

The answer is B.

Step-by-step explanation:

b=0

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

To know more about Exponents.

https://brainly.com/question/13669161

#SPJ11

Answer:

A.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

x means the slope so 1/2x is the slope

Answer:

The slope is 1/2 and the y intercept is -4. Hope this helps!

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -When two parallel lines cross one other, the horizontal line is divided into two angles. Interior angles develop between the parallel lines, whereas alternative outside angles develop outside the parallel lines.

1 - A

2 - C

3 - B

4 - D

To know more about alternate exterior angles visit:

brainly.com/question/2279752

#SPJ1

Answer: 1) Error response times

2) Memory Scanning, visual search

3) Stimulus identification

Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response

2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring

3) A decisive role in our perception and cognition

In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.

The integral ∫ \((4x^6)^3\) dx, evaluated by making the appropriate substitution, is (3/168) × \(4^{(11/6)}\) × \(x^{(7/2)}\) + C.

To evaluate the integral ∫ \((4x^6)^3\) dx, we can make the appropriate substitution u = 4\(x^6\).

First, we need to find the derivative of u with respect to x, du/dx.

Taking the derivative of both sides, we get du/dx = 24\(x^5\).

Next, we rearrange the equation to solve for dx: dx = du / (24\(x^5\)).

Now, we substitute u = 4\(x^6\) and dx = du / (24\(x^5\)) into the integral:

∫ \((4x^6)^3\) dx = ∫ \(u^3\) (du / (24\(x^5\))).

Simplifying the integral, we have (1/24) ∫ (\(u^3\) / (\(x^5\))) du.

Since u = 4\(x^6\), we can rewrite the integral in terms of u only:

(1/24) ∫ (\(u^3\) / (\((u/4)^{(5/6)})\)) du.

Simplifying further, we have

(1/24) ∫ (\(u^3\) / (\(u^{(5/6)}\) × (\(4^{(-5/6)})\))) du

This becomes

(1/24) ∫ (\(u^3\) / ((\(u^{(5/6)}\) × (\(4^{(-5/6)})\))) du = (1/24) ∫ (\(u^3\) / (\(u^{(5/6)}\) × (\(4^{(-5/6)})\))) du

Now, we can integrate with respect to u:

(1/24) × [(\(u^{(4/3 + 1)}\) × \((4^{(-5/6)})\)) / (4/3 + 1)] + C

Simplifying further, we get

(3/168) × \(u^{(7/3)}\) × \((4^{(-5/6)})\) + C

Finally, substituting back u = 4\(x^6\), we have

(3/168) × \((4x^6)^{(7/3)}\) × \((4^{(-5/6)})\) + C.

This simplifies to (3/168) × \(4^{(11/6)}\) × \(x^{(7/2)}\) + C.

Therefore, the integral ∫ \((4x^6)^3\) dx, evaluated by making the appropriate substitution, is  (3/168) × \(4^{(11/6)}\) × \(x^{(7/2)}\) + C.

Learn more about derivative here:

https://brainly.com/question/29020856

#SPJ11

The probability that both Rachel and Robert are in the picture is 3/16.

The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.

Given that

Rachel and Robert both begin at the same point

Rachel completes a lap every 90 seconds.

Robert completes a lap every 80 seconds.

The photographer captures 1/4th of the track, centered on the starting line.

As a result, the photo captures 1/8th of the track on either side of the starting line.

The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.

Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.

Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.

Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).

Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.

i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.

Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}

= {90/8}/60

= 3/16

Therefore the probability that both Rachel and Robert are in the picture is 3/16

To learn more about probability visit

https://brainly.com/question/9793303

#SPJ4

Answer:

1:eaxctly two factors  2:more than two factors  3:neither prime nor composite

Step-by-step explanation:

I GOT IT RIGHT!

Answer:

Answer time!!

1. exactly 2 factors

2. more than 2 factors

3. niether prime nor compisite

Answer:

k = - 9

Step-by-step explanation:

Since the triangle is right- angled at Q then PQ is perpendicular to RQ

Calculate the slope of PQ using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = P(1, 4) and (x₂, y₂ ) = Q(- 3, - 4)

\(m_{PQ}\) = \(\frac{-4-4}{-3-1}\) = \(\frac{-8}{-4}\) = 2

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , thus

\(m_{RQ}\) = - \(\frac{1}{2}\)

Calculate the slope of RQ and equate to - \(\frac{1}{2}\)

\(m_{RQ}\) = \(\frac{k+4}{7+3}\) = - \(\frac{1}{2}\) , that is

\(\frac{k+4}{10}\) = - \(\frac{1}{2}\) ( multiply both sides by 10 )

k + 4 = - 5 ( subtract 4 from both sides )

k = - 9

The right-angled triangle PQR has two perpendicular sides PQ and QR, such that the value of k is -9

Given that:

\(P =(1,4)\)

\(Q = (-3,-4)\)

\(R = (7,k)\)

Calculate the slope of PQ using:

\(m_1 = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m_1 = \frac{-4-4}{-3-1}\)

\(m_1 = \frac{-8}{-4}\)

\(m_1=2\)

Calculate the slope of QR using:

\(m_2 = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m_2 = \frac{k--4}{7--3}\)

\(m_2 = \frac{k+4}{7+3}\)

\(m_2 = \frac{k+4}{10}\)

Because the triangle is right-angled at Q, then sides PQ and QR are perpendicular.

The relationship between perpendicular sides is:

\(m_1 \times m_2 = -1\)

So, we have:

\(2 \times (\frac{k + 4}{10}) = -1\)

\(\frac{k + 4}{5} = -1\)

Multiply through by 5

\(k +4 = -5\)

Subtract 4 from both sides

\(k = -9\)

Hence, the value of k is -9

Read more about right-angled triangles at:

https://brainly.com/question/3770177