A discount book store sells hardcover books for $8 each and paperbacks for $4 each.The number of hardcover books, h, sold one day was 2 more than four times the number of paperback books, p, sold that same day. The total amount of sales for that day was $160. Jean-Paul wrote the following system of linear equations to find the number of each type of book sold.

8 h + 4 p = 160. p = 4 h + 2.

What is Jean-Paul’s error?
A. Jean-Paul should have written the first equation as h + p = 160.
B. Jean-Paul should have written the first equation as 4 h + 8 p = 160.
C. Jean-Paul should have written the second equation as h = 4 p + 2.
D. Jean-Paul should have written the second equation as p + 2 = 4 h.
it is not A.. see picture

The length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have angle GHJ = 82 units

Length of GH = 12 units

We know:

s = 2πr(θ/360)

s = (2π)12(82/360)

s = 17.17 units

Thus, the length of the arc GJ is 17.17 units if the in circle H with m/GHJ = 82 and GH = 12 units.

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Answer:

b ≈ 8.49

Step-by-step explanation:

A^2 + b^2 = c^2.   (Pythagorean theorem)

c is the hypotenuse or the longest side of a triangle.

a and b are the other 2 sides.

17^2 + b^2 = 19^2

289 + b^2 = 361

289 + b^2 - 289 = 361 - 289

b^2 = 72

b ≈ 8.49

Have a great day!

Answer:

13 inches

Step-by-step explanation:

3 sides of the small square are on the outside, then add 5 and 3 and (3-1)* to get 13

* you subtract 1 from 3 because you counted the 1 unit when calculating the perimeter of the small square

Answer:

8x^6+6 i think

Step-by-step explanation:

Let's count

So

the expression is

\(\\ \rm\hookrightarrow 3x^2+8x+6\)

Answer:

-2/3

Step-by-step explanation:

To find the slope of a line passing through two given points, we can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the coordinates (-5,-4) and (-2,-6), we have:

slope = (-6 - (-4)) / (-2 - (-5))

slope = (-6 + 4) / (-2 + 5)

slope = -2 / 3

Therefore, the slope of the line passing through the points (-5,-4) and (-2,-6) is -2/3.

Answer:

21 for the first one, 144 for the second

Step-by-step explanation:

If you're seeing the same problem I am in class, the rule is: N + 9

N is equal to 12 in this equation

12 + 9 is 21.

So, the answer is 21

If there is a second problem, like there is for the one I'm seeing, then this is the answer for that-

Is 12(12)= 144

Hope this helps!

(By the way, I'm horrible at math so this could be completely wrong)

Answer:

Answer: ∫ (x +1 + 1 x. )dx = 1. 2 x2 + x + ln|x| + C. 3. Evaluate the following integrals. (a) ∫. 2. 0 √4 − y2 dy.

Answer:

Its 2 to 1. I just took the quizz!!!

Step-by-step explanation:

The ratio of fish to birds in the local pet shop is 2:1.

"Equivalent ratios are those that can be simplified or reduced to the same value. In other words, two ratios are considered equivalent if one can be expressed as a multiple of the other".

For the given situation,

Total number of pets in local pet shop = 42

Number of fish = 28, Then

Number of birds = \(42-28\)

⇒ \(14\)

Thus ratio of pets to fish = \(28:14\)

Simplify the ratio to the smallest fraction

Dividing 14 on both sides,

⇒ \(2:1\)

Hence we can conclude that the ratio of fish to birds in the local pet shop is 2:1.

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The oxidation of one species allows the reduction of another, so the species being oxidized is called the reducing agent while the species being reduced is the oxidizing agent.

An oxidizing agent is a compound or element that participates in a redox (oxidation-reduction) reaction and accepts electrons from a different species. An oxidant is a chemical compound that easily transfers oxygen or another substance atoms in order to gain an electron. Oxidizing agents add oxygen to another substance or remove hydrogen from it.

A reducing agent is one of the reactants of a redox (oxidation-reduction)  reaction which reduces the other reactant by giving out electrons to the reactant. Reducing agents remove oxygen from another substance or add hydrogen to it.

In simple way, the substance to which oxygen is added or hydrogen is removed is said to be oxidized, and the substance oxidized is the reducing agent and the substance which gets reduced is the oxidizing agent.

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Answer:

perimeter is 46

Step-by-step explanation:

Sq(BT) = sq(AT) + Sq(AB)

Sq(17) = Sq(8) + Sq(AB)

So AB = 15

So perimeter of ABCT is 15 + 15 + 8 + 8 = 46

Segments AB and CB are tangent by the Pythagoras theorem, So the perimeter of ABCT is 46 units.

The perimeter of any given figure is the sum of the measure of boundaries of that figure.

Segments AB and CB are tangent.

By the Pythagoras theorem,

\((BT)^2 = (AT)^2 + (AB)^2\\(17) ^2= (8) ^2+ (AB)^2\)

So AB = 15

So perimeter of ABCT

= 15 + 15 + 8 + 8

= 46

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As per the question statement and the reference attachment attached thereby, the area of the venn diagram marked as (II) can represent the disease of Pneumonia.

As per the reference attachment attached thereby along, a chart is provided that shows the most common causes of death in three regions of united stated,

And we are required to identify the sector of the vein diagram, which can best represent the disease of Pneumonia.

From the tabular data above the venn diagram, pneumonia is a cause of death in both region A as well as in region B, and hence, the common sector of circles A and B only, can represent the disease. Since the only such sector is (II), it is our required area of the vein diagram.

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Answer:

As per the question statement and the reference attachment attached thereby, the area of the venn diagram marked as (II) can represent the disease of Pneumonia.

Step-by-step explanation:

Answer:

First listen to the video on your left of the screen, and then on the right of your screen, you'll see tests. You click on the button below on the test that says practice and if you 3 out of 4 correct, you can do the other videos and tests.

Step-by-step explanation:

Answer:

c) CL

Step-by-step explanation:

........................

Answer:

The given line segment has a midpoint at (−1, −2).

On a coordinate plane, a line goes through (negative 5, negative 3), (negative 1, negative 2), and (3, negative 1).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

y = −4x − 4

y = −4x − 6

y = One-fourthx – 4

y = One-fourthx – 6

y = Three-halvesx + 1

The coefficient of determination calculator is a tool that is used to calculate the proportion of the variation in the dependent variable that is explained by the independent variable

The coefficient of determination, also known as R-squared, is a statistical measure that ranges from 0 to 1, where 0 indicates that none of the variation in the dependent variable is explained by the independent variable, and 1 indicates that all of the variation in the dependent variable is explained by the independent variable.

To use the coefficient of determination calculator, follow these steps:

Input the data: You will need to enter the data for both the independent and dependent variables in the calculator. .

Run the calculation: Once you have input the data, the calculator will use it to calculate the coefficient of determination.

Interpret the result: The output of the calculator will be the coefficient of determination, expressed as a decimal.

It's important to note that the coefficient of determination is only meaningful for linear regression models, where the relationship between the variables is assumed to be linear.

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Answer:

The answer is a. -7

Step-by-step explanation:

Given,

\(A=(6,3)\\B=(7,-4)\)

We know,

\(Coordinate\,\,plane,m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}} \\So,Coordinate\,\,plane\,\,for\,\,AB,m=\frac{-4-3 }{7-6}=\frac{-7}{1}=-7\)

Hope you have understood this.....  

ask me if you have any confusion.....  

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A polynomial equation of degree two is a quadratic equation. A parabola is a curve that is represented by the quadratic equation. When the parabola does not meet the x-axis, there are no genuine solutions, two real solutions, one real solution, or no real solutions.

We can examine the discriminant of the quadratic equation -3x = -2x2 + 1 to learn how many and what kinds of solutions there are.

The quadratic equation has the form ax2 + bx + c = 0, and the discriminant (D) is determined as D = b2 - 4ac.

A, B, and C are equal in our equation at 2, 3, and 1. Now let's figure out the discriminant:

D = (-3)² - 4(-2)(1) = 9 + 8 = 17

There are two independent real solutions to the quadratic equation since the discriminant's value is positive (D = 17).

The right response is thus: There are two viable options.

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I HOPE IT WILL HELP YOU.

Have a great day ahead.

Thank you.

^ - ^

Answer:

3 - (n - 1) = 1/2(3n - 4)

Step-by-step explanation:

We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.

Let the number be n.

The first part is: three minus the difference of a number and one:

3 - (n - 1)

The second part is: one-half of the difference of three times the same number and four:

1/2(3n - 4)

Now, let us equate the first and second parts:

3 - (n - 1) = 1/2(3n - 4)

PS: I really do not understand the options

Answer:

D) 3 – (n – 1) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(3n – 4)



Answer:

150

Explanation:

Since 120/4 = 30 we just need to add another 30 to find the answer.

120/4 = 30 (which is the same as 4/5 in the question.)

120 + 30 = 150.

There are 150 pieces total.

I'm hoping this is correct. Good luck with your studies!

After solving the equation, the number of pieces in the whole puzzle will be equal to 150 pieces.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the information in the question,

Let the total number of pieces in the jigsaw puzzle be x.

Pieces used by Kiran = 4/5 of the total pieces

Then, the equation as per the statement will be,

4/5 of x = 120

x = (120 × 5)/4

x = 30 × 5

x = 150 pieces.

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The equation that represents the relationship between the given angles is x+14=3x-16. And the values of X is equal to 15.

Some angles receive a special classification according, for example: the sum between them and  their positions. See examples:

The given angles can be classified as alternate angle because are in opposite positions relative. Thus, they will have the same measure. Thus,

x+14=3x-16

3x-x=14+16

2x=30

x=15

If x=15, the angle x+14 will be 15+14=29°. And, the angle 3x-16 will be 45-16=29º.

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Answer:

7

Step-by-step explanation:

13 exceeds - 1 by - 1 + 13 = 12, then

- 5 + 12 = 7

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

13 exceeds - 1 by - 1 + 13 = 12, then

- 5 + 12 = 7

Answer:

6x^2+11x-35=0

6x^2-10x+21x-35=0

2x(3x-5x)+7(3x-5)=0

(3x-5)(2x+7)=0

if 3x-5=0

then x=5/3

if 2x+7=0

then x=7/4

THIS EQUATION HAVE TWO ANSWER. You can check to be right.

Answer: 821 yds^3

Step-by-step explanation:

Answer:

One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Since the circumference of a circle is 2πr , one revolution around a circle of radius r corresponds to an angle of 2π radians because sr=2πrr=2π radians.

Step-by-step explanation:

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The 90% confidence interval for the difference in the population means is -2.51 to 0.31

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

xˉ₁ = −17.1

s₁² = 8.4

n₁ = 22

​xˉ₂ = −16.0

s₂² = 8.7

n₂ = 24

Calculate the pooled variance using

P = (df₁ * s₁² + df₂ * s₂²)/df

Where

df₁ = 22 - 1 = 21

df₂ = 24 - 1 = 23

df = 22 + 24 - 2 = 44

So, we have

P = (21 * 8.4 + 23 * 8.7)/44

P = 8.56

Also, we have the standard error to be

SE = √(P/n₁ + P/n₂)

So, we have

SE = √(8.56/22 + 8.56/24)

SE = 0.86

The z score at 90% CI is 1.645, and the CI is calculated as

CI =  (x₁ - x₂) ± z * SE

So, we have

CI = (-17.1 + 16.0) ± 1.645 * 0.86

This gives

CI = -1.1 ± 1.41

Expand and evaluate

CI = (-2.51, 0.31)

Hence, the confidence interval is -2.51 to 0.31

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Answer:

A 20

Step-by-step explanation:

If you subtract 89.99 -68.25 you will equal 20

The multiplier for the given economy is 4.

The multiplier represents the magnification effect of an initial change in autonomous spending on the overall output of an economy. It is calculated using the formula 1 / (1 - MPC), where MPC is the marginal propensity to consume.

In this case, the MPC is given as 0.75, which means that for every additional dollar of income, individuals spend 75 cents. The multiplier is calculated as 1 / (1 - 0.75) = 4.

The multiplier of 4 indicates that a change in autonomous spending, such as investment or consumption, will have a four times larger impact on the overall output of the economy. In other words, for every dollar increase in autonomous spending, the total output of the economy will increase by four dollars.

In this scenario, since the intended investment is $130, the total increase in output would be 4 * $130 = $520. Therefore, the multiplier effect amplifies the initial change in autonomous spending and leads to a larger increase in output in the economy.

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