Find the value of d. Show your work.

Answer:

their pay rate is not proportional because to be proportional the chart needs an equivalent ratio for each next layer, this one is not

Step-by-step explanation:

Answer: 92  ≥  16.50t + 12.75s

16.50t + 12.75s ≤ 92

Step-by-step explanation:

The inequality that describes the relationship between t and s that is necessary for Sara to cover her costs is 16.50t + 12.75s ≥ 92.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Cost of towels = $16.50

Cost of painted wall signs = $12.75

Sara's goal is to make at least $92 to cover the cost of making her crafts for the fair,

∴ Goal to cover the cost ≥ 90

Now, If t represents the number of towels sold and s represents the number of signs sold.

Therefore,

Total Cost of towels = 16.50t

Total Cost of painted wall signs = 12.75s

Since, Goal to cover the cost ≥ 90

⇒Total cost =  16.50t + 12.75s

⇒ 16.50t + 12.75s ≥ 90

which is the required inequaltiy.

Thus, the inequality that describes the relationship between t and s that is necessary for Sara to cover her costs is 16.50t + 12.75s ≥ 92.

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Answer:

12 games

Step-by-step explanation:

Assuming that her rate of point scoring stays the same

We can use a ratio to solve

8 games            x games

--------------- = --------------

30 points         45 points

Using cross products

8 * 45 = 30x

Divide each side by 30

360/30 = 30x/30

12 =x

12 games

Answer:

email someone

Step-by-step explanation:

Answer:

40 games

Step-by-step explanation:

20 dollars / .50 cents = 40 games

Answer:

40 games

Step-by-step explanation:

Since 20.00/.50 = 40, than she can play 40 games.

Answer:

its a,b,c, or d

Step-by-step explanation:

The given expression is:[tex]$$\frac{-1}{2(-12x + 30)}$$[/tex]

We know that [tex]$$\frac{a}{b}$$[/tex]is equivalent to [tex]$$a \div b$$[/tex]which means division of a by b. Thus, the given expression is equivalent to$$-\frac{1}{2} \div (-12x + 30)$$Similarly,

multiplication by the reciprocal of the denominator yields the following equivalent expressions:[tex]$$-\frac{1}{2} \div (-12x + 30) = -\frac{1}{2} \c[/tex]dot [tex]\frac{1}{-12x + 30}$$$$=-\frac{1}{2(-12x + 30)}$$[/tex]Lastly, $$\frac{1}{a} \cdot b = \frac{b}{a}$$[tex]$$\frac{1}{a} \cdot b = \frac{b}{a}$$[/tex]

Using this property we can transform the given expression to:[tex]$$\frac{-1}{2(-12x + 30)} = \frac{1}{2(12x - 30)}$$$$=\frac{1}{24x - 60}$$[/tex]

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Answer:

?=6

Step-by-step explanation:

To get ? by itself, we need to divide both sides by -4:

(?)(-4)=-24

(?)=6

Answer:

6

Step-by-step explanation:

Step 1:

( x ) ( - 4 ) = - 24       Equation

Step 2:

- 4x = - 24     Multiply

Step 3:

x = - 24 ÷ - 4     Divide

Answer:

x = 6

Hope This Helps :)

Answer:

Valid

Step-by-step explanation:

Because if you study you would most likely know what the test/quiz/exam is about and understand the problems. If you don't study then you would probably not know how to do the work or solve the problems on the quiz/test/exam. (very sorry if wrong!)

Answer:

p = -4 or p = 4

300 sq. ft.

Step-by-step explanation:

In the first question since it is only the first turn for the player in the game he could only have won or lost 4 points. Therefore the equation would be the following.

p = -4 or p = 4

in the second question we need to calculate the area of the living room, which can be calculated using the following equation by implementing the values given to us in the question.

[tex]\frac{1}{5}a - 25 = 35[/tex] ... add 25 to both sides

[tex]\frac{1}{5}a = 60[/tex]  ... divide 1/5 by both sides

[tex]a = 300[/tex][tex]sq ft.[/tex]

finally, we can see that the area of the living room is 300 sq. ft.

Given that a solution of 2(2x - 1) = 5x² is expressed in simplest a + bi form.

The given equation is  2(2x - 1) = 5x² On simplification, we get,

4x - 2 = 5x²/2``4x - 2 - 5x²/2 = 0

Now, we have to find the value of b in simplest a + bi form.

To find the value of b in simplest a + bi form, we first simplify the given equation which is 2(2x - 1) = 5x².

On simplification, we get 4x - 2 = 5x²/2.

Further simplifying this equation, we get 4x - 2 - 5x²/2 = 0.

The simplified equation is of the form ax² + bx + c = 0.

Here, a = -5/2, b = 4, and c = -2.

To find the roots of the quadratic equation, we use the quadratic formula (-b ± √(b² - 4ac))/2a.

On substituting the values of a, b, and c, we get ( -4 ± √(4² - 4 * (-5/2) * (-2))) / (2 * (-5/2)).

Further simplifying, we get (-4 ± √54)/(-5).

Simplifying the value of √54 as √(2*3*3*3), we get √2 * 3√3.

Therefore, the value of b in simplest a + bi form is `± √2 * 3√3 / 2`.Considering the positive sign, we get √2 * 3√3 / 2.

The given equation is 2(2x - 1) = 5x². On simplification, we get 4x - 2 - 5x²/2 = 0. By using the quadratic formula, we get the value of b in simplest a + bi form, which is `√2 * 3√3 / 2`.

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The theorem states that if a system of linear equations, represented by the matrix equation AX = B, has a unique solution and the matrix A is nonsingular. The solution to the given system of equations is x = 2, y = -2, and z = 2.

(a) To prove the theorem, let's assume that A is nonsingular and has a unique solution for the system AX = B. We want to show that the solution is given by X = A^(-1)B.

Multiply both sides of the equation AX = B by A^(-1) to obtain:

A^(-1)(AX) = A^(-1)B

The left side simplifies to:

(I)(X) = A^(-1)B

where I represents the identity matrix.

Therefore, X = A^(-1)B, which proves the theorem.

(b) Now let's solve the given linear equation system using the theorem.

The system of equations is:

x + y + z = 2   ...(1)

x + 0 + z = 0     ...(2)

2xy + 0 = 2      ...(3)

We can represent this system in matrix form as AX = B, where:

A = [[1, 1, 1],

    [1, 0, 1],

    [2, 0, 0]]

X = [[x],

    [y],

    [z]]

B = [[2],

    [0],

    [2]]

To find X, we need to calculate A^(-1) first. Calculating the inverse of matrix A, we get:

A^(-1) = [[0, -1, 1],

          [1, -1, 0],

          [0,  1, -1]]

Now we can use the theorem and multiply A^(-1) with B:

X = A^(-1)B = [[0, -1, 1],

              [1, -1, 0],

              [0,  1, -1]] * [[2],

                               [0],

                               [2]]

Performing the matrix multiplication, we get:

X = [[0*(-2) + (-1)*0 + 1*2],

    [1*(-2) + (-1)*0 + 0*2],

    [0*(-2) + 1*0 + (-1)*2]]

Simplifying further, we obtain:

X = [[2],

    [-2],

    [2]]

Therefore, the solution to the given system of equations is x = 2, y = -2, and z = 2.

Complete Question:

The inverse of a matrix can be applied to the solution of nonhomogeneous linear equations. (a) Prove the theorem: If the system AX= B, where A shows nonsingular and has a unique solution, then the solution is given by X= A-¹B. (b) Solve the linear equation system by following the above theorem, and verify your result. x + y + z = 2 x + 0 + z = 0 2xy + 0 = 2

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Answer:

3/2

Step-by-step explanation:

Probability = successes / all events

Odds = successes / failures

P = 3/5, so there are 3 successes out of 5 trials, which means there are 2 failures.

So the odds are 3/2.

Answer:

I know that it is B but im thinking on what the others can be.

Step-by-step explanation:

12 girls. If there are 40 boys you have to multiply 10 times 4. Using that information you also have to multiply 3 times 4.

Answer:

x = 6

Step-by-step explanation:

Answer:

x =6

Step-by-step explanation:

[tex]3x-8(2x+3)= -6(2x+5)\\\\\mathrm{Expand}\:-8\left(2x+3\right):\quad -16x-24\\3x-16x-24=-6\left(2x+5\right)\\\\\mathrm{Add\:similar\:elements:}\:3x-16x=-13x\\-13x-24=-6\left(2x+5\right)\\\\\mathrm{Expand\:}-6\left(2x+5\right):\quad -12x-30\\-13x-24=-12x-30\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-13x-24+24=-12x-30+24\\\\Simplify\\-13x=-12x-6\\\\\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}\\-13x+12x=-12x-6+12x\\\\Simplify\\-x=-6\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\[/tex]

[tex]\frac{-x}{-1}=\frac{-6}{-1}\\\\Simplify\\\\x =6[/tex]

Answer:

49

Step-by-step explanation:

If angle two is equal to 41 degrees and the total degree of the angle is 90 degrees you would subtract 41 from 90 to get 49

To eliminate the x variable from the given system of equations, we can multiply the first equation by −3, then add the two equations. This will give us a new equation in terms of y, which we can solve for y. Once we have the value of y, we can substitute it into either of the two original equations to get the value of x.

Given the system of equations:2x − 3y = −117x − 2y = −5We want to eliminate the x variable from these equations. One way to do this is to use the elimination method. We can eliminate one of the variables by adding or subtracting the two equations so that the coefficient of one variable is the same but the opposite signs are used. In this case, we can eliminate the x variable by multiplying the first equation by −3 and then adding the two equations:−

6x + 9y = 3511x − 2y = −5Adding these two equations gives us:5x + 7y = 30Now we have an equation in terms of y only. We can solve for y by isolating it on one side of the equation:

5x + 7y = 30⇔ 7y = −5x + 30⇔ y = −(5/7)x + (30/7)Now that we have the value of y, we can substitute it into one of the two original equations to get the value of x. Let's use the first equation:

2x − 3y = −11⇔ 2x − 3(−(5/7)x + (30/7)) = −11⇔ 2x + (15/7)x − 30/7 = −11⇔ (29/7)x = (93/7)⇔ x = 3Thus, the solution to the system of equations is (x, y) = (3, 2).

To eliminate the x variable from a system of equations, we can use the elimination method. We can do this by adding or subtracting the two equations so that the coefficient of one variable is the same but the opposite signs are used. Once we have eliminated one variable, we can solve for the other variable.

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Answer:

No, the relation R^2 is not necessarily irreflexive.

Step-by-step explanation:

The relation R^2 represents the composition of the relation R with itself. In other words, it consists of pairs (a, c) such that there exists an intermediate element b for which (a, b) and (b, c) are both in R.

Even if the relation R is irreflexive (meaning there are no pairs (a, a) in R), the relation R^2 can still contain pairs (a, a) if there exists an intermediate element b such that (a, b) and (b, a) are both in R. In this case, (a, a) would be in R^2, violating the condition for irreflexivity.

Therefore, the relation R^2 can have reflexive elements even if the relation R is irreflexive.

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Answer:

A. Vertical angles. B. Alternate interior angles.  C. If two lines are cut by a transversal and the alternate interior angles are equal, then the two lines are parallel.

Answer:

24/5 or 4.8

Step-by-step explanation:

12% of 40

(calculate)

12/100 x 40

(reduce the fraction)

3/25 x 40

(reduce the numbers)

3/5 x 8

(calculate)

24/5 or 4.8

(answer)

Answer:

  A. ху

Step-by-step explanation:

Assuming your x'y' is xy with the variables to the first power, that is the term with the smallest x- and y-exponents. It is a factor of all the other terms so is the greatest common factor of all the terms.

Answer:

Hope the picture will help you

Answer:

2:5

Step-by-step explanation:

divide / simplify the ratio

Answer:

2:5     8:20

Because 2:5 is equivalent to 4:10 and so it 8:20

Answer:

You would run 12 laps.

Step-by-step explanation:

4 laps = mile because...

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

If 4 laps are one mile, multiply 3 times 4 because you want a 3-mile workout...

3x4=12.

Hope this helps you out!! Have an amazing day :)

12 laps would have to run for a 3-mile workout.

Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities

Now it is given that,

Each lap around a track is 1/4 mile

Therefore,number of laps in 1 mile = 4 laps

Now to run for a 3 mile work out multiply each mile with a lap to get the required workout.

Therefore,

3-mile workout = number of laps in 1 mile*number of mile workout

⇒ 3-mile workout = 4*3 laps

⇒ 3-mile workout = 12 laps

Thus,12 laps would have to run for a 3-mile workout.

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Exponential growth is the process by which something grows exponentially with time, such as the way that bacteria grow in a petri dish. It is a type of exponential function that can be described mathematically.

Exponential growth equation:There are two equations that represent exponential growth.y = 4000 (1.0825)^t, andy = 1700 (1.25)^t.Exponential decay is the opposite of exponential growth. Exponential decay is a type of exponential function that can be described mathematically.Exponential decay equation:

There are three equations that represent exponential decay.y = 240 (1/2)^t,y = 12,000 (0.72)^t, andy = 8000 (0.97)^t.In conclusion, y = 4000 (1.0825)^t, and y = 1700 (1.25)^t are equations that represent exponential growth, whereas y = 240 (1/2)^t, y = 12,000 (0.72)^t, and y = 8000 (0.97)^t are equations that represent exponential decay.

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The expected value of the game from the player's perspective is -17/36. This means that the player can expect to lose an average of $0.4722 per game in the long run.

The expected value of a game in probability theory is the expected value of a random variable that represents the player's earnings or losses.

The expected value can be negative or positive depending on the rules of the game, but if the expected value is positive, the player can expect to earn money in the long run.

In this case, the player is given 8 to 1 odds against rolling a double number with two fair dice, and the player wins $8 if a double shows up and the player loses $1 if it does not.

We can calculate the expected value of the game as follows:

Let X be the random variable that represents the player's earnings or losses.

Then X can take on the values -1 and 8, and the probabilities of these outcomes are:

P(X = -1) = 5/6 x 5/6 = 25/36P(X = 8) = 1/6 x 1/6 = 1/36

Therefore, the expected value of X is:E(X) = (-1) x P(X = -1) + 8 x P(X = 8)= (-1) x 25/36 + 8 x 1/36= -25/36 + 8/36= -17/36

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Given:

Height of Isabelle = 62 inches

Shadow of Isabelle = 93 inches

Shadow of tree = 279 inches

To find:

The height of the tree.

Solution:

Let height of tree be x.

Ratio of height to shadow for Isabelle and tree are

[tex]\dfrac{\text{Height of Isabelle}}{\text{Shadow of Isabelle}}=\dfrac{62}{93}[/tex]

[tex]\dfrac{\text{Height of tree}}{\text{Shadow of tree}}=\dfrac{x}{279}[/tex]

The shadow of Isabelle and tree are proportional to their shadows. So, both ratios must be equal.

[tex]\dfrac{x}{279}=\dfrac{62}{93}[/tex]

Multiply both sides by 279.

[tex]x=\dfrac{62}{93}\times 279[/tex]

[tex]x=62\times 3[/tex]

[tex]x=186[/tex]

Therefore, the height of tree is 186 inches.