Glenis had $5.25 and Samuel had $8.95. How much money did they have
altogether? Find an exact answerand .

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

$

180

Step-by-step explanation:

The original price is the quotient between $120 and 2/3, we get:

P = $180

We know that 2/3 of the original price is $120, then to get the original price, we need to take the quotient between $120 and 2/3.

\(P = \frac{\$120}{2/3} = (3/2)*\$ 120\)

By taking that quotient we will see that the original price of the coat is:

\(P = (3/2)*\$120 = $180\)

We conclude that the original price of the coat is $120.

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Answer:

from the graph we can see that

for 2 gallones - it can travell 70 miles

4 gallones - 140 miles

we will take the first case

2 gallones - 70 miles

17 gallones - ? miles

cross multiply

\( \frac{17 \times 70}{2} \)

= 595 miles

1. The two triangles are similar because the two pairs of angles are equal, therefore the third angles of both triangles must also be equal.

We can call this the AAA similarity criterion

2. To find QR, we must use ratios between 2 known similar sides of both triangles,

So, QR =1.02

Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :

f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2

f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2

Given a function,

f(x) = 1/2 x

And an inverse function,

f⁻¹(x) = 2x

We have to find the values of the following.

f(2) = 1/2 × 2 = 1

f⁻¹(1) = 2 × 1 = 2

f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2

f⁻¹(-2) = 2 × -2 = -4

f(-4) = 1/2 × 4 = -2

f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2

So, in general, f⁻¹(f(x)) = f(f⁻¹(x))

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Answer:

12,280

Step-by-step explanation:

just do 1456×5 :))

The equation of the line  4x + 5y = -30  in slope intercept form is y = - 4 / 5 x - 6

Equation of a line can be represented in slope intercept form as follows;

y = mx + b

where

Therefore, the equation of the line 4x + 5y = -30 can be represented in slope intercept form as follows:

Using the format y = mx + b

4x + 5y = -30

subtract 4x from both sides of the equation

5y = -4x - 30

divide both sides of the equation by 5

y = - 4 / 5 x - 30 / 5

y = - 4 / 5 x - 6

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Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer:

C and D

Step-by-step explanation:

So basically when u square -5 or +5, u get 25 either way

And since the square root of x is greater than or equal to 25, u can use both of them for answers.

Answer:

it should be A and if it is not a then b but I think A

Answer:

B. 1 book-––$8 that should be the answer

Answer:

33

hope this helped :)

Answer:

option d is correct

Step-by-step explanation:

taking 28 degree as reference angle . Then

sin 28 = opposite/hypotenuse

sin 28 = 8/17

The value of sin 28° is 8/17.

In the right triangle of the figure

Let, x be the opposite side angle of 28°

and y be the hypotenuse

\($\sin \left(28^{\circ}\right)=\frac{x}{y}$\)

We have,

x = 8 units  and

y = 17 units

Substitute the values of x and y, we get

\($\sin \left(28^{\circ}\right)=\frac{8}{17}$\)

Therefore, the correct answer is option D. 8/17.

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Answer:

246m²

Step-by-step explanation:

use the formula for the surface area and substitute the values

Since Christine already knew how to sing 4 pieces before taking the lessons we have to add these 4 at the end of the calculation.

If she learns 2 new pieces per week , after 23 weeks, she would learn 46 pieces.

Finally we add the initial 4 pieces, so the answer would be 50 pieces in total.

Answer:

The product of the sum and difference of the same two terms is always the difference of two squares; it is the first term squared minus the second term squared.

Step-by-step explanation:

Thus, this resulting binomial is called a difference of squares.

Answer:

Step-by-step explanation:

Square of the sum

square means you are multiplying something twice and looks like:  

ex.       \(x*x=x^{2}\)

sum is the addition of numbers

so square of the sum looks like:

(a+b)²

Square of the difference

difference means subtraction of numbers

so square of the difference looks like:

(b-a)²

Answer:

The product of the sum and difference of the same two terms is always the difference of two squares; it is the first term squared minus the second term squared.

Step-by-step explanation:

Thus, this resulting binomial is called a difference of squares.

Answer:

Step-by-step explanation:

Square of the sum

square means you are multiplying something twice and looks like:  

ex.       \(x*x=x^{2}\)

sum is the addition of numbers

so square of the sum looks like:

(a+b)²

Square of the difference

difference means subtraction of numbers

so square of the difference looks like:

(b-a)²

Answer:

is going to be the biggest number

Step-by-step explanation:

Answer:

33.33%

Step-by-step explanation:

Find the total by 4+3+2= 9

protein is represented by the middle number, or 3

divide 3 by 9

3/9= 0.3333

multiply that by 100

0.3333 x 100 = 33.33

hope this helps!

If the ratio of carbohydrates to protein to fat is 4:3:2.The percentage is protein will be 33.33 %.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Janna is training for a triathlon and wants to eat a diet with a ratio of carbohydrates to protein to the fat that is 4:3:2.

If the total percentage value is taken as 100%.As a result,

4x+3x+2x=100

9x=100

x=11.11

The percentage is protein is found as,

=3x

=3×11.11

=33.33

Thus, if the ratio of carbohydrates to protein to fat is 4:3:2.The percentage is protein will be 33.33 %.

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Answer:

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

Given function:

Graph it first (see attached).

Test the graph for symmetry.

We know the odd degree parent function y = x³ has an origin symmetry, whilst even degree functions may have axis symmetry.

The given function is a translation of cubic function 5 units up so the center of symmetry has translated as well. Therefore correct answer is 4.

Answer:

4. no origin symmetry

Step-by-step explanation:

Functions are symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, −b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y &= x^3 + 5\\&\textsf{Replace $y$ for $(-y)$}: \quad &-y &= x^3 + 5\\&\textsf{Simplify}: \quad &y &= -x^3 - 5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the x-axis.

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

Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$}: \quad &y&=(-x)^3+5\\&\textsf{Simplify}: \quad &y&=-x^3+5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the y-axis.

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

Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:

To determine if a graph is symmetric with respect to the origin, replace all the x's with (−x) and all the y's with (-y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the origin.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$ and $y$ for $(-y)$}: \quad &(-y)&=(-x)^3+5\\&\textsf{Simplify}: \quad &-y&=-x^3+5\\&&y&=x^3-5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the origin.

Answer: C because she went back to im just trying to help the team out

Answer:

(C) wanda converted the percent to a decimal incorrectly. it should be 0.73.

I answer (C) and it was correct.

Step-by-step explanation:

Give the other person brainliest ↑↑

                                                    hope it helps

Option A correctly describes the area of the graph of the function.

How is an area of the graph calculated?

The area of a graph is the area under the function curve enclosed within the X-axis of the graph. Thus, it is the area of the figure formed by enclosing the function graph with the X-axis.

It is the integration of the function polynomial of the possible values of x that the function curve lies in.

Here the function equation is : \(f(x) = ( 25 - x^{2} )\)

From the figure, we can see that the value of x varies from -5 to 5.

Initial x-value of integration = minimum value of x

                                          = -5

Final x-value of integration = maximum value of x

                                          = 5

Thus, the area of the graph can be correctly calculated as. :

               \(Area = \int\limits^{maxX}_ {minX} \, f(x)dx\)

               \(Area = \int\limits^5_ {-5} \, (25-x^{2} )dx\)

Hence, Option A correctly calculates the area of the graph given.

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The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the average amount of money spent by students.

The absolute value inequality is given by the equation:

|x - 2.75| = 0.5

Hence:

x - 2.75 = 0.5 or -(x - 2.75) = 0.5

x = 3.25 or x = 2.25

The average amount of money spent by students in the cafeteria last week was between $2.25 to $3.25

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Step-by-step explanation:

sorry these is notr qoustoin:(

Answer:

1)=-80 | 2)=8,9,10 | 3)=12

Step-by-step explanation:

-80*3/4=-60

8+9+10=27

12*2-4=20

I hope this helps

The weights of the debt, preferred stock, and common equity financing are 28.6%, 30.4%, and 41.0%, respectively.

To calculate the weighted cost of capital (WACC), the proportion of each component of capital structure is needed. The weight of each component of the capital structure is determined by dividing the market value of the component by the total market value of all the components of the capital structure.

In this case, the total market value of the company's capital structure is the sum of the market value of debt, preferred stock, and common equity.

The weights for each component are calculated as follows:

Weight of debt = Market value of debt / Total market value of capital structure

= $3.3 million / ($3.3 million + $3.5 million + $4.3 million)

= 0.286 or 28.6%

Weight of preferred stock = Market value of preferred stock / Total market value of capital structure

= $3.5 million / ($3.3 million + $3.5 million + $4.3 million)

= 0.304 or 30.4%

Weight of common equity = Market value of common equity / Total market value of capital structure

= $4.3 million / ($3.3 million + $3.5 million + $4.3 million)

= 0.410 or 41.0%

These weights can be used to calculate the weighted cost of capital for Romero Company.

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Answer:

4

Step-by-step explanation:

Lets plug these points in:

\(\frac{((-2)-10)}{(2-5)} =\frac{-12}{-3} =4\)

Answer:

number 2 - x=50, y =69

Step-by-step explanation:

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

a) The Ferris wheel has an angular speed is 12.222 radians per minute.

b) The Ferris wheel makes 116.712 revolutions in an hour.

Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.

a) Then, the angular speed (ω), in radians per minute, is determined by the following product:

ω = v / R

Where:

Please notice that the length of the radius is the half of the length of the diameter.  

If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:

ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]

ω = 12.222 rad / min

The angular speed is 12.222 radians per minute.

b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:

n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)

n = 116.712 rev / h

There are 116.712 revolutions in an hour.

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