Which equation represents a line which is parallel to the line
X + 6y = -24?

Answer:

See Explanation

Step-by-step explanation:

Given

\(Price = 29.50 + 13.50(p - 2)\)

The question has missing details. However, I will solve on a general term.

A possible question could be to find the cost of purchasing (say 10 bottles).

To do this, we simply substitute 10 for p.

So:

\(Price = 29.50 + 13.50(p - 2)\)

\(Price = 29.50 + 13.50(10 - 2)\)

\(Price = 29.50 + 13.50 * 8\)

\(Price = 29.50 + 108\)

\(Price = 137.50\)

i.e. $137.50 for 10 pint bottles

Another possible question is to calculate the number of pint bottles that amount to (say $70).

To do this, we simply substitute 70 for Price.

So:

\(Price = 29.50 + 13.50(p - 2)\)

\(70 = 29.50 + 13.50(p - 2)\)

Collect like terms

\(70 - 29.50 = 13.50(p - 2)\)

\(40.5= 13.50(p - 2)\)

Divide both sides by 13.50

\(3= p - 2\)

Add 2 to both sides

\(3 + 2 = p - 2 + 2\)

\(5 = p\)

\(p = 5\)

i.e. $70 will buy 5 pint bottles

Use this explanation to find solution to your question

Answer:

For an ordered pair to be a solution to a system of equations, the values for x and y must agree with every equation in the system. For example, if you have two linear equations so that their lines intersect, then there is exactly one solution (x, y) such that both equations are true statements when both x and y are entered into both equations. Therefore, those two coordinates (x, y) are the only solution to that system.

In other systems, such as quadratic systems containing two equations with two second-degree variables, x^2 and y^2, you can have up to four solutions (x, y) since the graphs of these equations may intersect in up to four points. Again, it means that the coordinates to each of these points agree with all equations in the system.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first one is Crosses the axis at (1, 0). The second one is Crosses the axis at (−4, 0). The third one is touching the axis at (−5, 0).

To graph the function g(x) = (x - 5)² - 9, shift the graph of f(x) = x²

5 units right and 9 units down

Step-by-step explanation:

Let us revise the translation

1. If the function f(x) translated horizontally to the right by h units, then

   its image is g(x) = f(x - h)

2. If the function f(x) translated horizontally to the left by h units, then

   its image is g(x) = f(x + h)

3. If the function f(x) translated vertically up by k units, then its image

   is g(x) = f(x) + k

4. If the function f(x) translated vertically down by k units, then its image

   is g(x) = f(x) - k

∵ f(x) = x²

∵ g(x) = (x - 5)² - 9

∴ g(x) = f(x - 5)² - 9

∴ h = 5 ⇒ 5 units right

∴ k = -9 ⇒ 9 units down

∴ f(x) translated 5 units to the right

∴ f(x) translated 9 units down

To graph the function g(x) = (x - 5)² - 9, shift the graph of f(x) = x²

5 units right and 9 units down

The graph of g(x) = -1/5(x + 5)² - 2 is plotted making use of the points it passes.

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The given function is g(x) = -1/5(x + 5)² - 2.

In order to plot its graph, consider following values of x and y as follows,

For x = 0,

g(x) = -1/5(0 + 5)² - 2

      = -7

For x = -5,

g(x) = -1/5(-5 + 5)² - 2

      = -2

Now as the given function has its degree as 2, it is parabolic.

Thus, its graph can be drawn as follows,

Hence, the graph of the given function is drawn clearly.

To know more about function click on,

https://brainly.com/question/21145944

#SPJ2

Answer:

A. y + 1 = -3(x - 4)

Step-by-step explanation:

If the equations are perpendicular, then that means they have the same slope, just with the opposite sign. In this case, the given equation's slope is 3, which means that the other equation's slope is -3. Now that we know the slope and one point, we can write the equation in point-slope form:

y - y1 = m(x - x1)

y - (-1) = -3(x - 4)

y + 1 = -3(x - 4)

The equation in point-slope form is answer choice A. y + 1 = -3(x - 4).

Hope this helps :)

Now, let's calculate the interest earned on each investment. The interest earned on the investment at  8% interest rate.

Since the total interest earned is $627, we can write the equation:
0.05x + 0.08($9000 - x) = $627

Simplifying the equation, we get:\(0.05x + 0.08*$9000 - 0.08x = $6270.08*$9000 - 0.03x = $627720 - 0.03x = $627-0.03x = $627 - $720-0.03x = -$93x = ($93) / (-0.03)x = $3100\)
To solve this problem, let's assume the amount invested at 5% interest rate is x and the amount invested at 8% interest rate is

$9000 - x

(since the total investment is $9000).
So, the woman invested $3100 at 5% interest rate and

$9000 - $3100

= $5900 at

8% interest rate.

To know more about each investment visit:

https://brainly.com/question/29121389

#SPJ11

She invested approximately $95.88 at a 5% interest rate and $8904.12 at an 8% interest rate.

To find out how much the woman invested at each interest rate, let's break down the problem.

Let's say she invested x amount at 5% interest and (9000 - x) at 8% interest.

At the end of the year, the interest earned on the first investment is 5% of x, which is 0.05x.
Similarly, the interest earned on the second investment is 8% of (9000 - x), which is 0.08(9000 - x).

The total amount the woman had at the end of the year is $627, which can be expressed as:

x + (9000 - x) + 0.05x + 0.08(9000 - x) = 627

Simplifying this equation, we can solve for x:

1.05x + 720 - 0.08x = 627

Combining like terms:

0.97x + 720 = 627

Subtracting 720 from both sides:

0.97x = 627 - 720

0.97x = -93

Dividing both sides by 0.97:

x = -93 / 0.97

Solving for x, we find that she invested approximately $95.88 at 5% interest.

To find the amount she invested at 8% interest, subtracting x from the total investment amount:

9000 - x = 9000 - 95.88 = $8904.12

Therefore, she invested approximately $95.88 at 5% interest and $8904.12 at 8% interest.

Learn more about interest rate:

https://brainly.com/question/28272078

#SPJ11

Answer:

4 hours

Step-by-step explanation:

11 x 4 equals 44 plus he read 5 pages so its 49

Answer:

4 hours

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The mode is the most recurring number. Since 4 occurs the most in the list, the mode is 4

a). The expression which correctly represents the length of the rectangular area is; 4x - 5.

b). The product of the length and width of the rectangle is; (4x - 5) 3x = 12x² - 15x.

Recall; for rectangles;

Area = length × width

Therefore, Length= Area / Width

Length = 12x² - 15x / 3x

Length = 4x - 5

Therefore, the expression which represents the length is; 4x - 5.

b) By multiplying the length and width of the rectangular area; we have;

Area = (4x - 5) 3x

= 12x² - 15x

Read more on Area of rectangle;

https://brainly.com/question/2607596

#SPJ1

Approximately 34% of people sleep more than 8.5 hours per night.

According to the Empirical Rule states for a normally distributed random variable: 68% of the measures are within 1 standard deviation of the mean, 95% of the measures are within 2 standard deviations of the mean and 99.7% of the measures are within 3 standard deviations of the mean. According to the question, Mean = 7 and Standard deviation = 1.5. Also, in the question the normal distribution is symmetric, which means that 50% of the measures are below the mean and the rest 50% are above the mean. Now, the mean is 7 and 8.5 is 1 one standard deviation above the mean. So, by the Empirical Rule, of the 50% of the measures that are above the mean, 68% are within 1 standard deviation of the mean (more than 8.5 hours). So, we get

0.5*0.68 = 0.34 which is equal to 34%.

Learn more about Standard Deviation at:

brainly.com/question/16975695

#SPJ4

Answer:

Answer:

note:\(\theta =y\)

Your answer is in the attachment.

we have

siny(cosy-siny)

taking - common from this

-siny(-cosy+siny)

-sin y(siny-cosy)

Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Step-by-step explanation:

Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.

When correlation coefficient is negative it means negatively correlation.

i.e. If independent variable increases dependent variable decreases or vice-versa

Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.

Independent: class attendance

Dependent: problems missed on an exam

So by correlation coefficient , correct interpretation would be:

Student with high class attendance is less likely to miss problem on an exam.

i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Answer:

h = 403.92in or 1026cm

Step-by-step explanation:

Given

Let x represent the density of mercury, and y the density of water.

\(y = 13.5x\)

\(Mercury\ barometer =76cm\) or \(Mercury\ barometer =29.92in\)

Required

Determine the height of the barometer

At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:

\(h = 13.5 * Mercury\ barometer\)

In centimeters, we have:

\(h = 13.5 * 76cm\)

\(h = 1026cm\)

In inches, we have:

\(h = 13.5 * 29.92in\)

\(h = 403.92in\)

Answer:

\(\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2\)

Step-by-step explanation:

Creative Landscaping has 60 yard of fencing with which to enclose a rectangular garden.

If the garden is X yards long, express the Gardens area as a function of length

Let x be the length of garden

So perimeter of rectangle = 60 yard

Perimeter = 2 * ( Length + width)

60 = 2 * ( x + width)

Width = 60/2 - x

Width= 30 - x

\(\texttt{Area = Length x Width}\\\\\texttt{Area =}x\times (30-x)=30x-x^2\\\\\texttt{Area =}30x-x^2\)

5(x + 2) is the product of a constant factor 5 and a 2-term factor (x + 2 )

It gets the result:   5(x+2) = 5•x + 5•2 = 5x + 10

Problem 9

1 liter = 1000 cubic cm

The base of the carton has area 50 cm^2, or 50 square cm.

Let A = 50 to represent the area.

The height h is unknown. It multiplies with the value of A to get the volume

V = A*h

1000 = 50*h

50h = 1000

h = 1000/50

h = 20

Answer: The carton is 20 cm tall

=======================================================

Problem 10

Part (a)

This 3D configuration will allow us to fit 2*3*2 = 12 dice in total

Answer: 12 dice will fit

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

Part (b)

The box has volume 5*4*7 = 140 cubic cm

Each die has volume 2*2*2 = 8 cubic cm. There are 12 dice we can fit in, so 12*8 = 96 cubic cm is the amount of volume taken up by the dice

We have 140-96 = 44 cubic cm of empty air left over.

Answer: 44 cubic cm

=======================================================

Problem 11

1 liter = 1000 cubic cm

8 liters = 8000 cubic cm

So he has 8000 cubic cm of soil

The volume of the cube is

(22.5)^3 = (22.5)*(22.5)*(22.5) = 11,390.625 cubic cm

He won't have enough soil to completely fill the cube shaped planter

We can be able to determine this by recalling that 2^3 = 8, so (20)^3 = 8000. Meaning that a cube shaped planter of sides 20 cm will lead to a volume of 8000 cubic cm. Anything over 20 cm will lead to a larger volume.

So in short, spotting the 22.5 being larger than 20 is a quick way to know that the planter has more volume compared to the amount of soil he has.

Answer: He won't have enough soil to completely fill the planter

Answer:

Which of them do you want us to answer.

Answer:

maby option 5

Step-by-step explanation:

Answer:

Quedan 3 libras de azúcar en el costal.

Step-by-step explanation:

Una kilo es aproximadamente dos libras y dos libras y media equivalen a un paquete, para determinar la cantidad remanente de libras de azúcar luego de las ventas se calcula la masa vendida por regla de tres compuesta:

\(x = 5\,p \times \frac{2,5\,kg}{1\,p}\times \frac{2\,lb}{1\,kg}\)

\(x = 25\,lb\)

Juana vendió 25 libras de azúcar. Entonces, la masa remanente de azúcar en el costal es:

\(x = 28\,lb-25\,lb\)

\(x = 3\,lb\)

Quedan 3 libras de azúcar en el costal.

The total amount of sugar left in the sack is 3 pounds.

Using the conversion:

1 kg = 2lb

2.5kg =5lb

Amount of sugar left in the sack = Total  - amount sold

Amount of sugar left in the sack = 28lb - 25lb

Amount of sugar left in the sack = 3lb

Learn more on conversion here:  https://brainly.com/question/11207931

Answer:

x=49

y=63

Step-by-step explanation:

Answer:

x=49

y=63

Step-by-step explanation:

The solution to the equation 83x + 1 = 16, rounded to the nearest thousandth, is x = 0.181, the key features of the function f(x) = 83x + 1 are; y-intercept; (0, 1), and Asymptote; None.

To solve 83x + 1 = 16, we need to isolate x on one side of the equation. We can do this by subtracting 1 from both sides and then dividing by 83;

83x + 1 - 1 = 16 - 1

83x = 15

x = 15/83

Rounded to the nearest thousandth, x is approximately 0.181.

Therefore, the solution to the equation 83x + 1 = 16, rounded to the nearest thousandth, is x = 0.181.

The function f(x) = 83x + 1 is a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. Therefore;

The y-intercept is (0, 1), since b = 1.

The function does not have an asymptote, since it is a linear function and it does not approach any particular value as x increases or decreases.

So the key features of the function f(x) = 83x + 1 are;

y-intercept; (0, 1)

Asymptote; None.

To know more about linear function here

https://brainly.com/question/29205018

#SPJ1

The solution for A'0 is as follows:

A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ)

We start with the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ). To solve for A'0, we isolate it on one side of the equation.

First, we raise both sides to the power of -1/γ, which gives us (A0 - A0') = (βR(RA0'))^(1/γ).

Next, we rearrange the equation to isolate A'0 by subtracting A0 from both sides, resulting in -A0' = (βR(RA0'))^(1/γ) - A0.

Finally, we multiply both sides by -1, giving us A'0 = -((βR(RA0'))^(1/γ) - A0).

Simplifying further, we get A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ).

Complete question - Solve for A'0, given the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ),

To know more about line equations, refer here:

https://brainly.com/question/31063252#

#SPJ11

Postulates, corollaries, and common notions are the three main types of reasoning we will use for reasons in the right- hand of column.

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

Postulates, corollaries, and common notions are the three main types of reasoning we will use for reasons in the right- hand of column.

Learn more about two column theorem here;

https://brainly.in/question/6257321

#SPJ1

Answer:

So it will take the stone 1 (one) second to reach its maximum height.

Step-by-step explanation:

Notice that the mathematical quadratic expression given is that of a parabola with branches pointing down. This means that the maximum value for that parabola is at the vertex. Your expression is also given in vertex form:

\(f(x)=a\,(x-x_v)^2+y_v\)

where the pair of coordinates \((x_v,y_v)\) are the x coordinate of the vertex and the y coordinate of the vertex.

Since x in your case is the time the stone is on the air, then the maximum (vertex) is at the point (1, 45) where "1" is the time in seconds and 45 is the height of the stone in meters.

So it will take the stone 1 (one) second to reach its maximum height.

Answer:

Step-by-step explanation:

probability of a student choosing Monday chemistry class is

35/280

=1/8

Answer:

|-3| + 7 = 10

Step-by-step explanation:

The absolute value bars on either side of the -3 makes the negative number positive. Therefore, you are now doing 3 + 7, which is 10.

Answer:

Step-by-step explanation:

10

Maricella has 4 quarters and 31 nickels in her bag.

Let's use the given terms and set up a system of equations to solve this problem:
Let n = number of nickels
Let q = number of quarters
We know two things:
There are 35 coins in total, so n + q = 35.
The total value is less than $2.75, so 0.05n + 0.25q < 2.75
Now let's solve the system of equations:
Solve the first equation for n:
n = 35 - q.

Substitute this expression for n into the second equation:
0.05(35 - q) + 0.25q < 2.75
Distribute the 0.05 to the terms inside the parentheses:
1.75 - 0.05q + 0.25q < 2.75
Combine like terms:
0.20q < 1
Divide by 0.20:
q < 5
Since q must be a whole number (as it represents the number of quarters), the highest possible value for q is 4.

Now we need to find the number of nickels.
Step 6: Substitute q = 4 back into the equation for n:
n = 35 - q
n = 35 - 4
n = 31.

For similar question on quarters.

https://brainly.com/question/28107793

#SPJ11

Answer:

7/3

Step-by-step explanation:

i hope this works :)

Answer:

The width of the jewelry store is 33 feet.

Step-by-step explanation:

To solve the problem, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W where P is the perimeter, L is the length, and W is the width. Substituting the given values, we get 186 = 2(60) + 2W. Simplifying the right side, we get 186 = 120 + 2W. Subtracting 120 from both sides, we get 66 = 2W. Dividing both sides by 2, we get W = 33.

Therefore, the width of the jewelry store is 33 feet.

The missing angle of the given diagram is: x = 70°

We are given that:

∠NMR = 150°

∠QNM = 40°

PQ ║ MR

If we imagine that the line RM is extended to meet QM at a point O.

Now, since PQ is parallel to MR, we can also say that PQ is parallel to OR.

Thus, by virtue of alternate angles theorem, we can say that:

∠PQN = ∠QOR = x

Sum of angles in a triangle sums up to 180 degrees. Thus:

∠OMN + ∠NMR = 180

∠QOR = ∠OMN + ∠ONM = 70

Thus:

x = 70°

Read more about Missing Angle at: https://brainly.com/question/28293784

#SPJ1

Answer:

I guess D is the correct answer.

Answer:

I'm assuming that "why" is not part of this problem so this too is not answerable