Looking for the probability of an eight, a red, and not a club

Answer:

Alice = 5

Bruce = 9

Chuck = 13

Step-by-step explanation:

alice= x

Bruce = y

Chuck = z

x+y+z= 27

x+y= 14

therefore z= 27-14= 13

Chuck = 13

y+13 (z) = 22

therefore y = 22-13= 9

Bruce = 9

9+13= 22

therefore x= 27 - 22= 5

Alice = 5

confirmation

5 + 9 + 13 = 27

5+9= 14

9 + 13 = 22

Each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

Given that,

Based on the above information, the calculation is as follows:

x + y + z =  27

x + y =  14

So,

z =  27 - 14

= 13

i.e. Chuck = 13

Now  

y + 13 (z) = 22

So,

y = 22 - 13

= 9

i.e. Bruce = 9

Now

9+13= 22

So,

x = 27 - 22

= 5

i.e. Alice = 5

Therefore we can conclude that each sibling's age i..e Alice be 5 years, Bruce be 9 years, and Chuck be 3 years.

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Answer:

Answer is -2

Step-by-step explanation:

5.5 minus 7.5 is negative 2. hope this helps.

Answer:

63 boquets were sold in the afternoon.

Step-by-step explanation:

Divide 90 by 10 to get 9. Then multiply 9 by 3.

Answer:

23.1 pounds.

Step-by-step explanation:

Multiply 140 by 0.165.

Answer:

slope is -1/3

Step-by-step explanation:

points are : (-4,2) and (2,0)

now

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

=(0-2)/(2+4)

= -2/6

= -1/3

Answer:

$10000

Step-by-step explanation:

50x25=1250sqfeet

1250x$8=$10000

Answer:

Cost = $10,000

Step-by-step explanation:

Finding the area of the wooden floor:

To find the cost of replacing the wooden floor, we need to calculate the area of the floor. To calculate the area of the floor, we need to multiply the length with the width. Seek below for calculations.

⇒ Area of floor = LB

⇒ Area of floor = 50 x 25

⇒ Area of floor = 1250 feet²

Finding the cost of replacing the floor:

⇒ Cost = Area of floor × Rate

⇒ Cost = 1250 × $8/foot

⇒ Cost = $10,000

Answer:

X=22° ; Exterior Angle = 125°

Step-by-step explanation:

The exterior angle theorem states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

(2x) + (103 - x) = (6x - 7)

103 + 7 = 6x - 2x + x

110 = 5x -->(Divided by 5)--> x=22°

6(22) - 7 = 125°

The range of x are;

1. x < -30

2. x > 8

3. x > 15

4. x < -2

A relationship between two expressions or values that are not equal to each other is called 'inequality.

1. -130 > 50x +20

-130-20> 50x

-150 > 50x

-150/50 > x

-30 > x

x < -30

2. -8(x-3) < -40

-8x +24< -40

collect like terms

-8x < -64

x > -64/-8

x > 8

3. 2x - 22 > 8

collect like terms

2x > 30

divide both sides by 2

x > 30/2

x > 15

4. -35 < -5(x+9)

-35 < -5x -45

collect like terms

10 < -5x

-2 > x

x < -2

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Answer:

40

Step-by-step explanation:

anything percent out of 100 is the same number without percent

Answer:

60

Step-by-step explanation:

40% of 100 = 40 100-40 = 60

Hope this helped! If it did, please mark brainliest! It would help out a lot! Thanks! :D

Answer:

Step-by-step explanation:

The area of the rectangle is changing at a rate of 3 square inches per second.

We can use the formula for the derivative of the area of a rectangle with respect to its length and width:

\($\frac{dA}{dt} = \frac{dA}{dl} \cdot \frac{dl}{dt} + \frac{dA}{dw} \cdot \frac{dw}{dt}$\)

where A is the area of the rectangle, l is the length, w is the width, t is time, and the derivatives are taken with respect to the given variables.

Plugging in the given values, we have:

\($A = lw, \frac{dl}{dt} = 4, \frac{dw}{dt} = -3, l = 23, w = 18$\)

Taking the partial derivatives of A with respect to l and w, we get:

\($\frac{dA}{dl} = w, \frac{dA}{dw} = l$\)

Plugging these values into the formula above, we have:

\($\frac{dA}{dt} = 18 \cdot 4 + 23 \cdot (-3) = 72 - 69 = 3$\)

Therefore, the area of the rectangle is changing at a rate of 3 square inches per second.

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Complete Question:

the length of a rectangle is increasing at a rate of 4 inches per second while its width is decreasing at a rate of 3 inches per second. at what rate, in square inches per second, is the area of the rectangle changing when its length is 23 inches and its width is 18 inches?

Applying the midpoint formula, the values of a and b are:

B. a = -8, b = -12

The midpoint formula is used to find the coordinates of the midpoint of a segment, which is given as:

M(x, y) = \((\frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2})\).

Given the points below:

(10, a) = \((x_1, y_1)\)

(b, 6) = \((x_2, y_2)\)

M(-1, -1) = (x, y)

Plug in the values:

(-1, -1) = [(b + 10)/2, (6 + a)/2]

Solve the variables separately

-1 = (b + 10)/2

-2 = b + 10

-2 - 10 = b

b = -12

-1 = (6 + a)/2

-2 = 6 +a

-2 - 6 = a

a = -8

The answer is: B. a = -8, b = -12

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Answer:

Without teachers, life would have no class.

Step-by-step explanation:

Answer:

Hey can one of you students help my get in my desk it’s sooo tall meanwhile 2 inch table sitting there

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer is 30

Let x be the number of books that need to be sold, then for the cost of the production and the profit to be the same we can set the following equation:

Subtracting 10x from both sides of the equation we get:

adding like terms we get:

Dividing by 11.75 we get:

Then the producer must sell 2592 books.

Answer: 2592.

The rate of change is (-1)

To solve this, we need to look at graphic to know the values of the function f(x) when x is equal to 1 and 3.

Then we have two points of the graph: (1,6) and (3,4).

The rate of change between two points is:

In this case,

Note that its the same whatever coordinate put first:

But when you do the difference between the coordinates, make sure to respect the order: if you use the y coordinate of the point P minus the y coordinate of point Q, you must to do the same for the x coodinate; Px-Qx

Answer:

The coordinates of its image are (2, -4)

Step-by-step explanation:

Let us revise the rules of reflection across the axes

∵ The point (2, 4) is reflected across the x-axis

→ By using the first rule above rx-axis (x, y) → (x, -y)

∴ Change the sign of its y-coordinate

∴ Its image is (2, -4)

∴ The coordinates of its image are (2, -4)

Answer:

45 = ABD

Step-by-step explanation:

ABC = ABD + DBC

115 = ABD + 70

Subtract 70 from each side

115 - 70 = ABD

45 = ABD

The correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

What is the system of equations?

A system of equations is a set of two or more equations with the same variables. The goal of a system of equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

The given equations are

3x + y = 12

x + 4y = 4

To graph the system of equations, we can start by finding the x-intercepts and y-intercepts of each line.

The x-intercept is the point where the line crosses the x-axis, which means that the y-value is 0. To find the x-intercept, we can set y = 0 and solve for x:

3x + y = 12

3x + 0 = 12

3x = 12

x = 4

So, the x-intercept of the first line is (4, 0).

Next, we can find the y-intercept, which is the point where the line crosses the y-axis, meaning that the x-value is 0. To find the y-intercept, we can set x = 0 and solve for y:

3x + y = 12

0 + y = 12

y = 12

So, the y-intercept of the first line is (0, 12).

We can repeat this process for the second line to find its x-intercept and y-intercept:

x + 4y = 4

x + 4 * 0 = 4

x = 4

So, the x-intercept of the second line is (4, 0).

Next, we can find the y-intercept by setting x = 0:

x + 4y = 4

0 + 4y = 4

4y = 4

y = 1

So, the y-intercept of the second line is (0, 1).

Now that we have found the x-intercepts and y-intercepts of each line, we can plot these points on a coordinate plane and draw lines through them to obtain the graph of the system of equations.

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at (0, 12). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 1).

Therefore, the correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

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Answer:

where was the starting point?

if the starting point was the origin then the translated point is (7, 2)

Answer:

are you talking about a graph? If it's from (0,0) then (7,2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Like terms have same variable with same exponent. Combine the like terms.

x + x = 2x  {Just add the coefficient}

x + y + x +y + 30 + 5 = x +x  +  y + y   + 30 + 5

                                 = 2x + 2y + 35

Answer:

all real numbers or \((-\infty, \infty)\)

Step-by-step explanation:

since both f(x) and g(x) are polynomials, neither of them have restrictions on their domains. Since they can be defined for all real numbers. It's not like the square root which has a domain of (0, infinity), or log x which is defined only from (0, infinity). So adding these two polynomials would result in a domain of all real numbers.

Answer: y = 3x + 2

Step-by-step explanation:

Let's start with what we know. To calculate the slope, we do:
(y1 - y2)/(x1 - x2)

So, for this equation we get:

(5 - 2)/(3-0)

We get 3/3, so the slope = 1. So far, we have:

y = 3x + b

Let's use one of our coordinates to plug this in:

2 = 0 + b

So b = 2.

So our final equation is:
y = 3x + 2

Answer:

\(\boxed{\tt a=9}\)

Step-by-step explanation:

We are given the equation:

\(-5a+7= -38\)

We want to solve for a, so we must isolate a on one side of the equation.

7 is being added to -5a. The inverse of addition is subtraction. Subtract 7 from both sides of the equation.

\(-5a+7-7=-38-7\)

\(-5a=-38-7\)

\(-5a=-45\)

a is being multiplied by -5. The inverse of multiplication is division. Divide both sides of the equation by -5.

\(\frac{-5a}{-5} =\frac{-45}{-5}\)

\(a=\frac{-45}{-5}\)

\(a=9\)

Let's check our solution. Plug 9 in for a.

\(-5a+7=-38\)

\(-5(9)+7=-38\)

\(-45+7=-38\)

\(-38=-38\)

This checks out, so we know our solution a=9 is correct.

-5a +7 =-38

-5a +7 (-7) = -38 (-7)

-5a= -45

-5a (÷-5)= -45 (÷-5)

a= 9

Given,

Elijah buys $112 worth of exterior equipment from the stereo store.

Processing fee for using the credit card = 2.5%

Therefore,

Total cost of the exterior equipment

= Worth price + procession fee

= 112 + 2.5% of 112

= 112 + 2.8

= 114.8

Hence, the  total  cost would be $114.8

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The coefficient of determination for the regression of gasoline consumption on gasoline prices is approximately 0.557.

The coefficient of determination, also known as R-squared, measures the proportion of the total variation in the dependent variable that is explained by the independent variable(s). It is calculated by dividing the explained variation by the total variation.

In this case, the total variation in the dependent variable is given as 122, and the unexplained variation is 54. To calculate the coefficient of determination, we need to find the explained variation, which is the difference between the total variation and the unexplained variation.

Explained variation = Total variation - Unexplained variation

Explained variation = 122 - 54 = 68

Now, we can calculate the coefficient of determination:

Coefficient of determination = Explained variation / Total variation

Coefficient of determination = 68 / 122 ≈ 0.557

Therefore, the coefficient of determination for the regression of gasoline consumption on gasoline prices is approximately 0.557.

The coefficient of determination, R-squared, provides an indication of how well the independent variable(s) explain the variation in the dependent variable. In this case, an R-squared value of 0.557 means that approximately 55.7% of the total variation in gasoline consumption can be explained by the variation in gasoline prices.

A higher R-squared value indicates a stronger relationship between the independent and dependent variables, suggesting that changes in the independent variable(s) are associated with a larger proportion of the variation in the dependent variable. Conversely, a lower R-squared value indicates that the independent variable(s) have less explanatory power and that other factors not included in the regression may be influencing the dependent variable.

It is important to note that while the coefficient of determination provides an indication of the goodness-of-fit of the regression model, it does not necessarily imply causation or the strength of the relationship. Other factors, such as the model's specification, sample size, and the presence of other variables, should also be considered when interpreting the results of a regression analysis.

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To create a single CircuitSim file with separate circuits for different hardware components using logic gates (AND, OR, NOT, XOR, NOR, NAND), follow these steps:

1. Open CircuitSim: Launch the CircuitSim application on your computer.
2. Create a new file: Click on 'File' in the menu bar, then select 'New' to create a new CircuitSim file.
3. Create separate circuits: To create separate circuits for each hardware component, click on 'Edit' in the menu bar, then select 'Add Circuit.' Give each circuit a unique name to represent the specific hardware component.
4. Design the circuits: For each circuit, use the provided logic gates (AND, OR, NOT, XOR, NOR, NAND) to design the hardware components. To add a logic gate, click on the corresponding gate icon in the toolbar, then click on the circuit to place it. Connect the input and output pins of the gates using wires.
5. Save the file: Once you've completed designing all the circuits, click on 'File' in the menu bar, then select 'Save' to save the single CircuitSim file with all the separate circuits.
Remember to maintain accuracy, professionalism, and friendliness when answering questions. Provide concise explanations, and ensure that your answer is factually correct.

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Answer:

Translation 5 units left, 1 unit up

Step-by-step explanation:

the blue is the main shape

Answer: Translation 5 units up and 1 unit down

The correct answer is T^(-1)(x, y) = (7x - 4y, -5x + 3y).

The answer is T-1(x,y) = (-5x + 4y, 3x - 3y). In order to find the inverse of a linear transformation, we need to use the concept of matrix inversion. First, we need to write the transformation T as a matrix:

| 3 4 |
| 5 7 |

Then we need to find the inverse of this matrix, which is:

| -7/2 2 |
| 5/2 -3 |

Next, we need to multiply the inverse matrix by the vector (x,y):

| -7/2 2 |   | x |    | -7x/2 + 2y |
| 5/2 -3 | * | y | =  | 5x/2 - 3y  |

Therefore, T-1(x,y) = (-7x/2 + 2y, 5x/2 - 3y), which can be simplified to (-5x + 4y, 3x - 3y). Therefore, the correct answer is the first option: T(x,y) = (- 4x + 7y, - 3x + 5y).
To find the inverse of the linear transformation T(x,y) = (3x + 4y, 5x + 7y), you need to calculate the inverse of the matrix representing this transformation. The matrix for this transformation is:

A = | 3  4 |
     | 5  7 |

First, find the determinant of A:

det(A) = (3*7) - (4*5) = 21 - 20 = 1

Since the determinant is non-zero, the inverse exists. Now, find the inverse matrix A^(-1):

A^(-1) = (1/det(A)) * |  7  -4 |
                               | -5   3 |

Since det(A) = 1, A^(-1) is simply:

A^(-1) = |  7  -4 |
            | -5   3 |

Now you can find the inverse transformation T^(-1)(x, y) by applying this inverse matrix to the point (x, y):

T^(-1)(x, y) = (7x - 4y, -5x + 3y)

So, the correct answer is T^(-1)(x, y) = (7x - 4y, -5x + 3y).

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