There are 20 students in the class. I counted 8 girls. What percent are boys?

The answer is 21.

First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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The standard equation of the circle with center (3, -5) and radius 7 is:

(x - 3)^2 + (y + 5)^2 = 49

The standard equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (3, -5) and the radius is 7. We can substitute these values into the equation to find the standard equation of the circle:

(x - 3)^2 + (y - (-5))^2 = 7^2

Simplifying further:

(x - 3)^2 + (y + 5)^2 = 49

This equation represents all the points (x, y) that are equidistant from the center (3, -5) with a distance of 7 units, forming a circle.

By expanding the equation, we can also rewrite it in the form:

x^2 - 6x + 9 + y^2 + 10y + 25 = 49

x^2 + y^2 - 6x + 10y + 9 + 25 - 49 = 0

x^2 + y^2 - 6x + 10y - 15 = 0

This form can be helpful for identifying the center and radius of the circle by comparing the coefficients with the general equation of a circle. However, the original form, (x - 3)^2 + (y + 5)^2 = 49, is more commonly used to describe the circle with center (3, -5) and radius 7.

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Drone nerds will get 15 Mavic air 2's for $23196.192 after offering a chain discount of 6/4/3.

Chain discount is the series of discounts that are offered from the list price of an object when bought from a store.

A general example of a 10/5 chain discount denotes that there will be a series of discounts on the list price. First a discount of 10% is awarded on the list price then a further 5% on the reduced price.

The List price of the drones is $26500.

Chain discount=6/4/3

So the first discount received is 6% on the $26500.

Price after the first discount=26500- 6%of 26500

Simplifying we get

\(=26500-.06\times26500\\=24910\)

The price after the first discount is $24910

Now we will apply the 4% discount on $24910

Price after second discount=24910-4% of 24910

=$23913.60

Now we apply the third discount

Price after third discount is=23913.60-3%of 23913.60

=$23196.192

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The function is a good model for the data.

The retail sales in the U.S. in 2016 is estimated to be 282.24 billion dollars.

The year that corresponds to retail sales of $241 billion is 2020.

The function F(t)= 9.44 t +84.182 is a linear model for the data. This means that the graph of the function is a straight line.

The scatter plot shows that the data points are close to a straight line. This means that the function is a good model for the data.

To estimate the retail sales in the U.S. in 2016, we need to find the value of F(11). F(11) = 9.44 * 11 + 84.182

= 282.24.

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By answering the above question, we may state that Graphical equation depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

When two assertions are connected by a mathematical equation, the equals symbol (=) is used to denote equality. In algebra, a mathematical statement that establishes the equivalence of two mathematical expressions is referred to as an equation. In the equation 3x + 5 = 14, for instance, the equal sign places a space between the integers 3x + 5 and 14. To comprehend the connection between the two phrases written on the opposing sides of a letter, utilise a mathematical formula. Frequently, the logo and the specific piece of software are the same. as in, for instance, 2x - 4 = 2.

Mathematicians use graphs to visually express or chart facts or values in a logical way. Usually, a graph point will show the relationship between two or more objects. A graph is a non-linear data structure made up of nodes, also known as vertices, and edges. The nodes, sometimes referred to as vertices, should be joined with glue. Vertices in this graph are 1, 2, 3, and 5, whereas edges are 1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Graphical depictions of exponential development in statistical charts, such as bar charts, pie charts, and line graphs. a triangle-shaped logarithmic graph

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Answer:

The one you got wrong is y > 2x - 1. The one not yet filled out is y ≥ -x + 4.

Step-by-step explanation:

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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There are 7 pounds in 112 ounces

There is 1 pound in 16 ounces

So, the number of pounds in 112 ounces is

Pounds = 116 ounces/16 ounces

Remove the unit

Pounds = 112/16

Evaluate the quotient

Pounds = 7

Hence, there are 7 pounds in 112 ounces

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

$60

Step-by-step explanation:

since every year, she receives $5 more than the last, then on her twelfth birthday, you'll have to multiply 5 by 12 to get 60.

Answer:

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Step-by-step explanation:

Triangle DEF was translated 15 units to the left to create triangle D'E'F.

Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and dilation.

If a point A(x, y) is translated a units left, the new point is at A'(x - a, y).

Triangle DEF was translated 15 units to the left to create triangle D'E'F.

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Answer:15 units to the left

Step-by-step explanation:

Answer:

-8x+35=19

-8(2)+35=19

-8×2= -16

-16+35=19.

Answer:

x=2

Step-by-step explanation:

19=-8x+35

subtract 35 from 19

-16=8x

divide -16 by -8

x=2

Answer:

-600

Step-by-step explanation:

-3 x 2 is -6

then add the zeros

Answer:

\(3x^8\sqrt{11x}\)

Step-by-step explanation:

\(\sqrt{99x^{17}}\)

First we have to break the 99 up into 9 and 11. Since 9 is a perfect square, it'll come out perfect. Then for the x to the power of 17 we will make the exponent into an even number by taking one x away.

\(\sqrt{99x^{17}}\\\sqrt{9x^{16}}\sqrt{11x}\)

So after we have this simplify the perfect square and don't touch the non-perfect ones.

\(\sqrt{99x^{17}}\\\sqrt{9x^{16}}\sqrt{11x}\\3x^8\sqrt{11x}\)

So that's it!

y = x - 4 is  the equation of the line in slope-intercept form.

How do you interpret a slope-intercept form?

The data provided by that form can be used to graph a linear equation in slope-intercept form. As an illustration, the equation y=2x+3 indicates that the line's slope is 2 and that its y-intercept is located at (0,3). This reveals the single point at which the line passes as well as the direction in which we should draw the full line after that.

Point from graph = (2, -2 )

                slope (m) = y/x

                                = -2/2

                                = 1

slope-intercept form ⇒ y = mx + c    

                                        -2 = 1 * 2 + c

                                          - 2 = 2 + c

                                               c = -4

 slope-intercept form ⇒ y = x - 4

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Answer:

a) If the spinner is fair, then each color must have the same probability, this means that the probability for each color is the number of times that the color (in this case blue) is in the spinner divided the total amount of colors in the spinner, then the theoretical probability for each color is:

Pt = 1/5 = 0.20

The experimental probability can be found by dividing the number of times that the spinner landed on a given color (in this case for blue we have 15 times) divided the total number of spins ( 50)

Pe = 15/50 = 0.30

B) As we increment the number of spins, we should see that the experimental probability gets closer to the theoretical probability.

Answer:

Step-by-step explanation:

Any number greater than 1 will give a number greater than 2386

Answer:

it is the there'd one

if this is wrong sorry

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

The is A) 91

Step-by-step explanation:

The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.

When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.

Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.

We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.

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Answer:

84.1%

Step-by-step explanation:

Add up 0.1, 2.2, 13.6, 34.1, and 34.1 and you get that number. this is because that is the numbers in each column and you add those because they are below 79 mark.

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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