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lorasvet [3.4K]
2 years ago
15

Katherine is landscaping her home with juniper trees and pansies. She wants to arrange 15 pansies around each of 8 trees. Each t

ree costs $20.75 and a six-pack of pansies costs $2.50. Explain how to write an expression to find Katherine’s final cost.
Mathematics
1 answer:
Tom [10]2 years ago
7 0

The mathematical expression that Katherine requires to know the price of the objects that she is going to buy is 8 * ($20.75) + 120 * ($5/12) = $216

<h3>How to write an expression for this procedure?</h3>

To find a mathematical expression for this procedure we must take into account the values that we know.

For example, we know that it requires 15 pansies for each tree. This can be expressed like this:

  • 15 * 8 = 120 pansies.

On the other hand, we must calculate the price of each tree and the pansies that are going to be used to surround each one as shown below.

  • Cost of trees = 8 * $20.75
  • Pansies Cost = 15 * ($5/12)

According to the above, the final expression, in which all the necessary data for Katherine is included, is:

  • 8 * ($20.75) + 120 * ($5/12) = $216

Learn more about mathematical expression in: brainly.com/question/1703934

#SPJ1

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For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]
photoshop1234 [79]

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right] ≠ 0

Determinant of a 3x3 matrix is calculated by:

det \left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]

8(1-\beta)-[2(2-2\beta)(1-\beta)]

8-8\beta-4+8\beta-4\beta^{2}

-4\beta^{2}+4\neq 0

\beta^{2}\neq 1

\beta \neq \sqrt{1}

β ≠ ±1

For the system to have only one solution, β ≠ 1 or β ≠ -1.

7 0
4 years ago
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
bazaltina [42]
The answer is 7 because f is a denomination
6 0
3 years ago
A triangle has sides with lengths of 9 yards, 12 yards, and 15 yards. Is it a right triangle?
9966 [12]

Answer:

Yes

Step-by-step explanation:

Plug your values into the Pythagorean Theorem to check if they make sense

3 0
3 years ago
What is the slope of the line that passes through the points (-4, -9) and (5, 3)
egoroff_w [7]

Answer:

4/3

Step-by-step explanation:

Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3.  Thus, the slope of the line connecting the two points is

m = rise / run = 12/9 = 4/3

It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg.  Then  

m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3

5 0
3 years ago
Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4. What
REY [17]

Answer:

The probability that the page will get at least one hit during any given minute is 0.9093.

Step-by-step explanation:

Let <em>X</em> = number of hits a web page receives per minute.

The random variable <em>X</em> follows a Poisson distribution with parameter,

<em>λ</em> = 2.4.

The probability function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...

Compute the probability that the page will get at least one hit during any given minute as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

             =1-\frac{e^{-2.4}(2.4)^{0}}{0!}\\=1-\frac{0.09072\times1}{1} \\=1-0.09072\\=0.90928\\\approx0.9093

Thus, the probability that the page will get at least one hit during any given minute is 0.9093.

6 0
3 years ago
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