Alice rolls a fair dice and flips a fair coin. What is the probability of obtaining a factor of 12 and a tail?

The equation which correctly represents the word phrase; 10 less than the product of 7 and a number is 18 is; 7n - 10 = 18.

It follows from the task content that the equation which correctly represents 10 less than the product of 7 and a number is 18 be determined.

By interpreting each segment of the statement;

The product of 7 and a number can be written algebraically as; 7 × n = 7n.

Since the product statement has been analysed and has been expressed algebraically as 7n; it follows that the compound statement;

10 less than the product of 7 and a number can be written algebraically as;

7n - 10.

Therefore, the equation which represents the statement; 10 less than the product of 7 and a number is 18 is; 7n - 10 = 18.

Ultimately, the required algebraic equation is; 7n - 10 = 18.

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Answer:

Step-by-step explanation:

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{4 +3}{3 +1} \implies {\Large \begin{array}{llll} \cfrac{7 }{ 4 } \end{array}}\)

Answer:

Line D is the answer because the y-intercept is negative because it starts at -2 and the slope is one half because well its kinda obvious! May I have brainliest? Hope this helps:)

Step-by-step explanation:

Answer:

Line D

Step-by-step explanation:

has negative y intercept and has slope of 1/2

The linear equation in the coordinates [x, y, z, u] whose solution set coincides with the span of \(a_1\), \(a_2\), and \(a_3\)\) is:

\(\(x = u_1\)\\\(3x + 3y = u_2\)\\\(-2x + z = u_3\)\\\(5x - y + u = u_4\)\)

To determine a linear equation whose solution set coincides with the span of vectors \(\(a_1 = [1, 3, -2, 5]\), \(a_2 = [0, 3, 1, -4]\), and \(a_3 = [0, 0, 1, 1]\)\),

we need to find the coefficients x, y, z and u such that any vector in the span can be expressed as a linear combination of these vectors.

Let's assume the equation is of the form:

\(\(x \cdot a_1 + y \cdot a_2 + z \cdot a_3 = u\)\)

Substituting the given vectors:

\(\(x \cdot [1, 3, -2, 5] + y \cdot [0, 3, 1, -4] + z \cdot [0, 0, 1, 1] = u\)\)

Expanding the equation component-wise:

\(\(x \cdot [1, 3, -2, 5] + y \cdot [0, 3, 1, -4] + z \cdot [0, 0, 1, 1] = [u_1, u_2, u_3, u_4]\)\)

This equation can be rewritten as:

\(\([x, 3x+3y, -2x+z, 5x-y+u] = [u_1, u_2, u_3, u_4]\)\)

To find the values of \(u_1\), \(u_2\), \(u_3\), and \(u_4\) for which this equation holds true, we equate the corresponding components:

\(1. \(x = u_1\)\\2. \(3x + 3y = u_2\)\\3. \(-2x + z = u_3\)\\4. \(5x - y + u = u_4\)\\\)

Therefore, the linear equation in the coordinates [x, y, z, u] whose solution set coincides with the span of \(a_1\), \(a_2\), and \(a_3\)\) is:

\(\(x = u_1\)\\\(3x + 3y = u_2\)\\\(-2x + z = u_3\)\\\(5x - y + u = u_4\)\)

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Let's assume the number of children admitted to the amusement park is represented by the variable "C" and the number of adults admitted is represented by the variable "A".We can set up a system of equations based on the given information Equation 1: C + A = 363 (since the total number of people admitted is 363)

Equation 2: 3.50C + 6.20A = 1743 (since the total admission fees collected is $1743)To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:From Equation 1, we can express C in terms of A as C = 363

Substituting this value of C into Equation 2, we get:

3.50(363 - A) + 6.20A = 1743

Expanding and simplifying:

1270.5 - 3.50A + 6.20A = 1743

2.70A = 472.5

A = 472.5 / 2.70

A ≈ 175.00

Substituting this value of A back into Equation 1, we can find C:

C + 175 = 363

C = 363 - 175

C = 188

Therefore, there were 188 children and 175 adults admitted to the amusement park.

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Answer:

21x - 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

18x - (-3x + 9)

Step 2: Simplify

Answer:

(1.5×5) + (2.5×4)

Step-by-step explanation:

if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D

Answer:

a. 0%

Step-by-step explanation:

The sun always rises in the east.

So the probability of it rising in the west is 0%, which means that the correct answer is a.

Answer:

23: 21 - 30

48: 41 - 50

39: 31 - 40

25: 21 - 30

45: 41 - 50

10: 1 - 10

16: 11 - 20

32: 31 - 40

62: 61 - 70

39: 31 - 40

48: 41 - 50

18: 11 - 20

19: 11 - 20

54: 51 - 60

12: 11 - 20

4: 1 - 10

Hope this helps :D

Answer:

\(x^2+4x+2\)

Step-by-step explanation:

\(\frac{2x^3+11x^2+16x+6}{2x+3}\\\\Factorize \: :\\2x^3+11x^2+16x+6 : \:\left(2x+3\right)\left(x^2+4x+2\right) \\\\=\frac{\left(2x+3\right)\left(x^2+4x+2\right)}{2x+3}\\\\\mathrm{Cancel\:the\:common\:factor:}\:2x+3\\\\=x^2+4x+2\)

I hope it helps .

Answer:

240 miles

Step-by-step explanation:

To find how far John will travel is he travels 48 miles per hour for 5 hours, you can multiply John's speed (48 mph) with his travel time (5 hours) to get:

48 mph × 5 hours = ?

48 × 5 = 240

Therefore, John will travel 240 miles if he travels for 5 hours at 48 miles per hour.

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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Answer:

32

Step-by-step explanation:

By linear pair and exterior angle theorem:

\(x \degree + (180 - 99) \degree = 113 \degree \\ \\ x \degree + 81 \degree = 113 \degree \\ \\ x \degree = 113 \degree - 81 \degree \\ \\ x \degree = 32 \degree \\ \\ x = 32\)

Answer:The length of the other diagonal is: C. 15 feet.

Step-by-step explanation:

Answer: Noah ran more miles

Step-by-step explanation:

a) Let's suppose that the number of hoodies sold be x and the number of track pants sold be y.The inequality that models the situation is:60x + 40y ≥ 2000b) Now let's represent the inequality in a graph.The inequality 60x + 40y ≥ 2000 can be represented as a line in a graph.

We will replace the inequality with the equation 60x + 40y = 2000 to draw the line.x-intercept: To find the x-intercept, put y = 0 in the equation.60x + 40(0) = 2000=> x = 2000/60=> x = 33.33 (approx)Therefore, the x-intercept is (33.33, 0).y-intercept: To find the y-intercept, put x = 0 in the equation.

60(0) + 40y = 2000=> y = 2000/40=> y = 50Therefore, the y-intercept is (0, 50).c) There are different combinations of hoodies and track pants that satisfy the inequality.

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The expression to represent the given phrase is 21/b.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, 21 divided by a number b.

The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

So, the expression is 21/b

Therefore, the expression to represent the given phrase is 21/b.

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Answer:

See below.

Step-by-step explanation:

20.

\( \sqrt{43} - \pi = 6.5574 - 3.1416 = 3.4158 \)

Plot the number between 3.4 and 3.5, but much closer to 3.4 than to 3.5 since it is approximately 3.42.

21.

(7.3 * 10^6) / (3.2 * 10^4) = 7.3/3.2 * 10^6/10^4 = 2.3 * 10^2

True

Step-by-step explanation:

The answer would be True! :)

Answer:

53.4

Step-by-step explanation:

8.9 × 6 = 53.4

Hope it help !

Answer:

(X-18)-3=15

3x-54=15

3x=15+54

3x=69

x=23

So jubo's number is 23

Therefore, the number of ways to choose a committee of size 10 with at least 2 men is: 961379655

We are to find the number of ways to choose a committee of size 10 with at least 2 men if there are 30 women in the club and 20 men in the club using set difference. We can use the following formulas: (1) A set difference B = {elements of A that are not in B} (2) The number of ways to choose k elements from n elements is represented by nCk.

(3) The complement of an event E is the set of all outcomes in the sample space that are not included in the outcome of E.(4) If E is an event, then P(E) represents the probability of E happening.(5) P(E') + P(E) = 1 (where E' is the complement of E).

To choose a committee of size 10 with at least 2 men, we can first find the total number of committees possible (which includes committees with 0, 1 or 2 men) and then subtract the committees that do not have at least 2 men. So, the total number of ways to choose a committee of size 10 is 50C10. Using the formula nCk = n!/k!(n-k)!, we can write it as follows: 50C10 = 50! / 10!40! = 10272278170.

The number of ways to choose a committee of size 10 with no men is 30C10.Using the formula nCk = n!/k!(n-k)!, we can write it as follows:30C10 = 30! / 10!20! = 30045015. The number of ways to choose a committee of size 10 with exactly 1 man is (20C1) * (30C9).Using the formula nCk = n!/k!(n-k)!, we can write it as follows:(20C1) * (30C9) = 20! / 1!19! * 30! / 9!21! = 47152200.

The number of ways to choose a committee of size 10 with exactly 2 men is (20C2) * (30C8). Using the formula nCk = n!/k!(n-k)!, we can write it as follows:(20C2) * (30C8) = 20! / 2!18! * 30! / 8!22! = 47502000. Therefore, the number of ways to choose a committee of size 10 with at least 2 men is:50C10 - 30C10 - (20C1) * (30C9) - (20C2) * (30C8)10272278170 - 30045015 - 47152200 - 47502000 = 961379655  Ways.

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An equilibrium phase diagram can be used to determine phase transitions, phase presence, and phase compositions at different conditions.

An equilibrium phase diagram can be used to determine the below mentioned parameters:

A) It can determine where phase transitions will occur. Phase transitions refer to changes in the state or phase of a substance, such as solid to liquid (melting) or liquid to gas (vaporization). The phase diagram provides information about the conditions at which these transitions take place, such as temperature and pressure.

B) It can determine what phases will be present for each condition of chemistry and temperature. The phase diagram shows the different phases or states of a substance (such as solid, liquid, or gas) under different combinations of temperature and pressure. It provides a visual representation of the stability regions for each phase, indicating which phase(s) will be present at a given temperature and pressure.

C) It can determine the chemistry and amount of each phase present at any condition. The phase diagram gives information about the composition (chemistry) and proportions (amount) of different phases present under specific conditions. It helps identify the coexistence regions of multiple phases and provides insight into the equilibrium compositions of each phase at various temperature and pressure conditions.

In summary, an equilibrium phase diagram is a valuable tool in understanding the behavior of substances and can provide information about phase transitions, phase stability, and the chemistry and amounts of phases present at different conditions.

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Answer:22

Step-by-step explanation:

Answer:

Adriana debe subirse durante 7.5 minutos, Luis durante 24 minutos y Ramiro 28.5 minutos.

Step-by-step explanation:

Asumamos en primer lugar que los tres amigos rentan la cuatrimoto durante una hora, entonces cada persona utiliza la cuatrimoto en proporción al dinero. A continuación, obtenemos el tiempo estimado por cada usuario a partir de una regla de tres simple:

\(\Delta t = \frac{c_{a}}{c_{r}}\cdot (60\,min)\)

Donde:

\(\Delta t\) - Tiempo de uso de la cuatrimoto, medido en minutos.

\(c_{a}\) - Dinero aportado por el usuario, medido en pesos.

\(c_{r}\) - Coste de renta de la cuatrimoto, medido en pesos.

Entonces calculamos el tiempo correspondiente a cada amigo:

Adriana (\(c_{a} = \$\,50\), \(c_{r} = \$\,400\))

\(\Delta t = \frac{\$\,50}{\$\,400}\times 60\,min\)

\(\Delta t = 7.5\,min\)

Luis (\(c_{a} = \$\,160\), \(c_{r} = \$\,400\))

\(\Delta t = \frac{\$\,160}{\$\,400}\times 60\,min\)

\(\Delta t = 24\,min\)

Ramiro (\(c_{a} = \$\,190\), \(c_{r} = \$\,400\))

\(\Delta t = \frac{\$\,190}{\$\,400}\times 60\,min\)

\(\Delta t = 28.5\,min\)

Adriana debe subirse durante 7.5 minutos, Luis durante 24 minutos y Ramiro 28.5 minutos.

Answer: x = 4

Step-by-step explanation:

6x + 8 = 5x + 12

      -8            -8

6x = 5x + 4

-5x  -5x

x = 4

Answer: 2 5/8

Step-by-step explanation:

To find out how many miles Carly ran uphill, we need to multiply the total distance she ran (3 1/2 miles) by the fraction that represents the fraction of the distance she ran uphill (three fourths or 3/4):

3 1/2 * 3/4

To do this multiplication, we can convert the mixed number (3 1/2) to an improper fraction:

3 1/2 = 7/2

Then we multiply the fractions straight across:

7/2 * 3/4 = (7*3)/(2*4) = 21/8

So Carly ran 21/8 miles uphill. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (which is 1 in this case):

21/8 = 2 5/8

So Carly ran 2 5/8 miles uphill.

We want to find the slope of the line that connects points C' and D'. We will find that the slope is -3/7.

First, we start with the points:

Now we create points C' and D' by translating points C and D to the left by 6 units, this means that we need to subtract 6 in the x-value of each point, so we will have:

And we know that if a line passes through points (x₁, y₁) and (x₂, y₂) the slope is given by:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

Then the slope that connects points C' and D' is:

\(a = \frac{5 - 8}{2 - (-5)} = \frac{-3}{7}\)

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