Jane orders cheese pizzas from a pizza restaurant that charges $8.00 per pizza. Jane has only $45.00 to spend on pizza. Jane’s cost in dollars is a function of the number of pizzas she orders

Answer:

4x(3y + 7z) = 12xy + 28xz

Step-by-step explanation:

Factoring is the decomposition of an expression into a product of factors, which when multiplied together give the original expression.

Final answer:

The expression 12xy + 28xz can be factored using the distributive property by taking out the greatest common factor, which is 4x, resulting in the factored form 4x(3y + 7z).

Explanation:

To use the distributive property to factor the expression 12xy + 28xz, we need to find the greatest common factor (GCF) that is common to both terms. Here, the GCF for the numerical coefficients 12 and 28 is 4, and both terms have the variable x. Thus, we factor out 4x from both terms.

The factored expression is 4x(3y + 7z). We get this by dividing each term by the GCF:

For 12xy: (12xy)/(4x) = 3y

For 28xz: (28xz)/(4x) = 7z

Finally, we write the expression as the GCF multiplied by the sum of these quotients: 4x(3y + 7z).

Answer:

mean absolute deviation

Step-by-step explanation:

The mean absolute deviation of a data set is the average distance between each data point and the mean. It gives us an idea about the variability in a data set since it is a measure of dispersion

Final answer:

The average distance of all data values from the mean of the data is called the 'standard deviation'. It measures how data points vary from the mean and indicates the data's spread. Standard deviation is calculated by finding the square root of the average squared deviations from the mean.

Explanation:

The Average Distance of Data Values from the Mean

The average distance of all data values from the mean of the data is referred to as the standard deviation. This statistical measure expresses the extent to which data points in a data set diverge from the average, or mean, value. When the standard deviation is small, it indicates that the data points are clustered closely around the mean, showing little variation. Conversely, a large standard deviation suggests that the data points are spread out over a wider range, signifying greater dispersion in the data set.

The calculation of the standard deviation starts with computing the variance, which is the average of the squared deviations from the mean. The formula for variance is s² = Σ(Yi - Y)² / (n - 1), where s² is the variance, Yi represents each data point, Y is the mean of the data, and n is the sample size. After calculating the variance, the standard deviation is found by taking the square root of the variance.

Answer:

6 runners

Step-by-step explanation:

the total divided by the distance each runner will run

1.5/0.25=6

Answer:

2.875 mi  

Step-by-step explanation:

A scale factor (SF) is the ratio of two corresponding lengths in similar figures.

SF = actual distance/map distance = 5.75 mi/2 in

or 1 in = 2.875 mi

On the map, the distance from the library to the park is 1 in, so the actual distance is 2.875 mi.

A model's scale ratio is the proportionate ratio of a linear dimension. The actual distance from the library to the park is 2.875 miles.

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

Given that the actual distance from Micah's house to school is 5.75 miles, while the same distance on the map is represented by 2 inches. Therefore, the scale ratio can be written as,

Scale Ratio = Distance on Map/ Distance in real

                   = 2 inches / 5.75 miles

Now, the distance between the library and the park is given 1 inch on the map. Therefore, using the scale ratio, the actual distance from the library to the park is,

Scale Ratio = Distance on Map/ Distance in real

2inches /5.75 miles = 1 inch/ Distance in real

Distance in real = (5.75 miles×1 inch)/2 inches

Distance in real = 2.875 miles

Hence, the actual distance from the library to the park is 2.875 miles.

Learn more about Scale ratio here:

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Answer:

A, D, F

Step-by-step explanation:

A. True, because [tex]f(x)=-(x+7)^2+4[/tex] represents quadratic function (the greatest power of x is 2)

B. False, because this function is quadratic, so cannot be linear

C. False. The vertex of the parabola is at point (-7,4) (see diagram)

D. True. The axes of symmetry is the line x=-7 that passes through the vertex.

E. False. The y-intercept is at point x=0 and [tex]y=-(0+7)^2+4=-49+4=-45.[/tex]

F. True. The graph has the maximum at vertex, where [tex]y_{max}=4.[/tex]

G. False. The graph of the parabola intersects the x-axis at two points (-9,0) and (-5,0), so x=-9 and x=-5 are two real solutions of the equation f(x)=0.

Answer:

384 inches

Step-by-step explanation:

8 x 8 = 64

one face of the box is 64

6 faces of the box would be 384

Answer:

5/4

Step-by-step explanation:

We have two points so we can use the formula for slope

(-3,-2) (1,3)

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

   = (3--2)/(1--3)

    = (3+2)/(1+3)

    =5/4

The slope is 5/4

5/4 is the slope

Count the rise over run and you will get the slope

Answer: 265

Step-by-step explanation: In order to find the sum of the first 10 terms in the series you need to first identify what the series is. The numbers are being reduced by 3 for each number, so the the first 10 terms would be 40, 37, 34, 31, 28, 25, 22, 19, 16, 13

The sum means the total of them all added together, which is 265.

The answer to this question is 265

450/6 = X/1

75 = X

Rachel can type 75 words in a minute!

Answer:

Step-by-step explanation:

Okay so solve this this is how you do it

[tex]-2x-y=-4[/tex] and [tex]x+2y=5[/tex]

To cancel out the X we have to make x into 2 x

[tex]1(-2x-y=-4)\\2(x+2y=5)\\\\[/tex]

[tex]-2x-y=-4\\2x+4y=10[/tex]

we can cancel out -2x and 2x now leaving us with

[tex]-y=-4\\4y=10[/tex]

add them both and solve for y

[tex]3y=6\\y=\frac{6}{3}\\y=2[/tex]

Now just substitute 2 for y

[tex]-2x-2=-4\\-2x=-4+2\\-2x=-2\\x=\frac{-2}{-2} \\x= 1[/tex]

Or

[tex]x+2(2)=5\\x+4=5\\x=5-4\\x=1[/tex]

In both the equations your answer will be the same

Hope this helps :)

If you have an doubt or need further help just reply :)

We can use the vertical line test to check if each graph is a function. If the line passes through two points, it is not a function. If it only passes through one point then it is a function.

Graph 1:

It is a function because the line doesn't pass through more than one point. (yellow)

Graph 2:

It is not a function because the line does pass through more than one point. (orange)

Graph 3:

Horizontal lines are not functions. (orange)

Graph 4:

It is a function because the line doesn't pass through more than one point. (yellow)

Best of Luck!

Answer:

Graph 1:

It is a function because line don't pass more than one point. (yellow)

Graph 2:

It is not a function because line does pass through more than one point. (orange)

Graph 3:

Horizontal lines are not functions. (orange)

Graph 4:

It is a function because the line doesn't pass through more than one point. (yellow)

Step-by-step explanation:

please mark as brainliest

Answer:

64v

Step-by-step explanation:

2(5v+6)-6(-9v+2)

Distribute the 2 to everything in the parentheses.

10v+12-6(-9v+2)

Distribute the -6 to everything in the parentheses.

10v+12+54v-12

Combine like terms

64v

I think the answer might be 64v

Answer:

D. 20 equal-sized sections

Step-by-step explanation:

Answer:

The slope would be -0.8 and 5.6 would be the intercept.

Step-by-step explanation:

The constant at the end of the equation is always the intercept.

The coefficient of x is the slope.

This just means that the graph starts at (0. 5.6) and has a rate of change of -0.8 y for every change in x.

The value of X from the given equation above would be =1.526

To determine the missing value in the equation above, the following steps needs to be considered as follows:

The equation ;

9x² - 21 = 0

9x² = 21

make x² the subject of formula;

x² = 21/9

= 2.33

X = √2.33

= 1.526

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Answer:

B and D

Step-by-step explanation:

The surface area is the area of each face of the cube. The volume is the amount that will fill the cube. These are two separate processes which cannot give you the same measurement by calculating one part of the surface area. B is false.

Doubling the sides of the cube will not double the surface area. It will quadruple it. D is false too.

-48x - 96 (multiply -12 by both numbers separately)

Answer:

-12×4x + -12×8

-48 + -96

Step-by-step explanation:

This is the following way to solve this problem:

3x-10(x+2)=13-7x

3x-10x-20=13-7x        (multiply 10 times what's in the parentheses)

-7x-20=13-7x              ( subtract 3x from -10x)

-7x-20-13=-7x             ( since the 13 is positive, when we move it to the other

                                   side, we change it's sign, so now we subtract 13 from 20

-7x-7=-7x

-7=-7x+7x                   ( we do the same thing we did above, now with the -7x)

-7=x

x=-7

Answer: x = -7

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: )

The exact volume of the figure made up of two cones and a cylinder with a 4 cm diameter is [tex]\(76 \pi \, \text{cm}^3\)[/tex], which is approximately 238.64.

1. Volume of the Cylinder:

  [tex]\[ V_{\text{cylinder}} = \pi \times (2 \, \text{cm})^2 \times 17 \, \text{cm} \][/tex]

  [tex]\[ V_{\text{cylinder}} = \pi \times 4 \, \text{cm}^2 \times 17 \, \text{cm} \][/tex]

  [tex]\[ V_{\text{cylinder}} = 68 \pi \, \text{cm}^3 \][/tex]

2. **Volume of each Cone:**

 [tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \times (2 \, \text{cm})^2 \times 3 \, \text{cm} \][/tex]

[tex]\[ V_{\text{cone}} = \frac{1}{3} \pi \times 4 \, \text{cm}^2 \times 3 \, \text{cm} \][/tex]

[tex]\[ V_{\text{cone}} = 4 \pi \, \text{cm}^3 \][/tex]

  Since there are two cones, the total volume for the cones is [tex]\(2 \times V_{\text{cone}} = 8 \pi \, \text{cm}^3\)[/tex].

3. Total Volume:

[tex]\[ V_{\text{total}} = V_{\text{cylinder}} + 2 \times V_{\text{cone}} \][/tex]

[tex]\[ V_{\text{total}} = 68 \pi + 8 \pi \, \text{cm}^3 \][/tex]

[tex]\[ V_{\text{total}} = 76 \pi \, \text{cm}^3 \][/tex]

Now, the exact volume is [tex]\(76 \pi \, \text{cm}^3\)[/tex]. To find the numerical approximation, you can use the value of [tex]\(\pi\)[/tex], which is approximately 3.14.

[tex]\[ V_{\text{total}} \approx 76 \times 3.14 \, \text{cm}^3 \approx 238.64 \, \text{cm}^3 \][/tex]

Answer:

[tex]\frac{x}{x(x - 6)}\\\\\frac{1}{x-6}[/tex]

6 is excluded

Step-by-step explanation:

The expression [tex]\frac{x}{x^2 - 6x}[/tex] can be simplified by factoring the denominator and dividing out the x term.

x² - 6x = x(x-6)

It simplifies the expression by:

[tex]\frac{x}{x(x - 6)}\\\\\frac{1}{x-6}[/tex]

The excluded value is any value which makes the denominator 0.

x - 6 = 0

x = 6

6 is excluded.

Answer:

[tex]m\angle 5=76\degree[/tex].

Step-by-step explanation:

In the given parallelogram, line AC is a transversal.

Using the alternate interior angles theorem,

[tex]m\angle 5=76\degree[/tex].

You can observe this by tracing a Z-pattern.

You will then observe that m<5 and the [tex]76\degree[/tex] angles are alternate interior angles.

Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle

noting that sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] ← exact value

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{h}[/tex]

Multiply both sides by h, then

h ×[tex]\frac{1}{\sqrt{2} }[/tex] = 8

Multiply both sides by [tex]\sqrt{2}[/tex]

h = 8[tex]\sqrt{2}[/tex] → D

Answer:

In the event that this is the practice, these are the correct answers.

1.d

2. c

3. a

4.a

5.c

6.b

Step-by-step explanation:

Answer:

1 1/4

Step-by-step explanation:

subtract 1 1/2 from 2 3/4

After using part of his flour, Henry subtracts the amount used from the initial amount to find that he has 1 cup of flour left.

The question asks about subtracting fractions in order to determine how much flour is left after some is used. We start with Henry's initial amount of flour, which is 2 3/4 cups, and subtract the amount he used to bake muffins, which is 1 1/2 cups. To perform this subtraction, we first need to have the fractions with a common denominator. Since 4 is the least common multiple of 4 and 2, we convert 1 1/2 to 3/4. Now, we have 2 3/4 cups - 1 3/4 cups, which can be simplified step-by-step:

Therefore, Henry has 1 cup of flour left after making muffins.

To provide another example, if we were to reference a cooking equation like the one for biscuits, where 2 cups of flour make 12 biscuits, we could determine how much product we can make with a given amount of reactants (flour). Similarly, with the given measurements in the question, we are finding the remainder of the reactant (flour) after it's been partially used.

Red - 5/10

Green - 3/10

Yellow 2/10

Easyyy

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ You replace the balls, so the type of probability is independent.

First of all, the probability of getting a red ball is:

5/10 or 1/2

As you can see, the probability of getting a green ball is:

3/10

Lastly, the probability of getting a yellow ball is:

2/10 or 1/5

The sum of all of them added together is always:

10/10, or 1

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬TROLLER (don't worry i didn't troll you)

Answer:

x = 13 and y = 13√3

Step-by-step explanation:

Recall that sin Ф = opposite side / hypotenuse, and that

                   cos Ф = adjacent sice / hypotenuse.

if we recognize that the angle Ф is 30° here, then we know that:

x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.

and....

y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3

In summary, x = 13 and y = 13√3

Answer:

A

Step-by-step explanation:

Zero property of multiplication states that anything multiplied by 0 is 0.

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Part A - The table:

Input (x)    Output (y)

6                14

12               15

15               15

25              16

This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.

Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.

y = 7(6) -15

y = 42 - 15

y = 27

The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.

Part C: To find when y = 6, set it equal to 6 and solve for x.

6 = 7x - 15

21 = 7x

3 = x

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Answer:

I think it's $216

Step-by-step explanation:

0.3 times 720

Answer:

3

Step-by-step explanation:

just take any 2 points (since it is linear) and do the slope formula.

slope is y2-y1/x2-x1

The slope is gonna be positive 3 for this question!