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3 years ago

kalia spent a quarter of her weekly allowance on a movie. the movie was $4.25. WHat is her weekly allowance

Mathematics

1 answer:

Montano1993 [528]3 years ago

7 0

Answer:

$17

Step-by-step explanation:

Think about it like this.

$4.25 is equal to 0.25 * x value, where x is the weekly allowance

$4.25=0.25x

$17=x

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Elapsed time five in the afternoon to 1 minute after midnight

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The elapsed time is 7hrs and 1 minute.

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3 years ago

Based on the graph, how many students are represented? A) 100 students B) less than 150 C) less than 200 D) less than 300

kondor19780726 [428]

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Step-by-step explanation:

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3 years ago

Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =

Svetradugi [14.3K]

Answer:

$\lambda=8,\ \lambda=-5$

Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called $\lambda$ are scalars who comply with the relation:

$det(A-\lambda I)=0$

Where I is the identity matrix

$I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix is given as

$A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]$

Set up the equation to solve

$det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0$

Expanding the determinant

$det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0$

$(3-\lambda)(-\lambda)-40=0$

Operating Rearranging

$\lambda^2-3\lambda-40=0$

Factoring

$(\lambda-8)(\lambda+5)=0$

Solving, we have the eigenvalues

$\boxed{\lambda=8,\ \lambda=-5}$

8 0

3 years ago

Mr. Marcucci received a bonus of $496 from his employer. He has to pay 33% of his bonus to taxes. How much will Mr. Marcucci pay

tiny-mole [99]

Edit: 33% is not $\frac{1}{3}$ , therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68

The following is the original solution, which is incorrect.
33% = $\frac{1}{3}$ . Multiply the bonus of $496 by $\frac{1}{3}$ to get the solution of $\frac{496}{3}$ , or 165 and $\frac{1}{3}$

Therefore the solution is $165.33

7 0

3 years ago

Read 2 more answers

Abdullah earns $10 an hour delivering newspapers on his bicycle . He started with $20 in his bank account. what is the rate and

elixir [45]

Explanation:

The equation for this problem can be modeled in y = mx + b form.

m represents the rate of change and b represents the initial value or constant.

y = 10x + 20

x represents the number of hours he spent delivering newspapers

y is his total money after whatever number of hours he worked

The rate is 10, because it determines how much money he earns for each hour.

The y-intercept is 20, representing the starting amount of money in his bank account.

6 0

3 years ago