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2 years ago

ILL MARK BRAINLIEST Provide an appropriate response.

Mathematics

2 answers:

antoniya [11.8K]2 years ago

8 0

Answer:

D) 5

Step-by-step explanation:

Daniel [21]2 years ago

6 0

Answer:

The sample space of answering a true or false question is "sample set = true, false"

Step-by-step explanation:

Sample Space is defined as the set of all possible outcomes in a given probability experiment. For example, the sample space of tossing one coin is head, tail.

Source: study.com/academy/answer/identify-the-sample-space-of-the-probability-experiment-answering-a-true-or-false-question.html

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Karen is estimating how much flour she needs if each cake requires 2 2/6 cups of flour and she is making 3 cakes. Explain how ma

gregori [183]

Answer:

The answer is 7 cups

Step-by-step explanation:

1 cake-2 2/6 cups

Which can also be written as

1 cake-14/6 cups

3 cakes-x cup

Cross multiply

x=14/2

x=7

Therefore Karen needs 7 cups of flour to make 3 cakes

6 0

2 years ago

Use matrices to solve the system of equations if possible. Use Gaussian elimination with back substitution or gauss Jordan elimi

CaHeK987 [17]

In matrix form, the system is given by

$\begin{bmatrix} -1 & 1 & -1 \\ 2 & -1 & 1 \\ 3 & 2 & 1 \end{bmatrix} \begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} -20 \\ 29 \\ 29 \end{bmatrix}$

I'll use G-J elimination. Consider the augmented matrix

$\left[ \begin{array}{ccc|c} -1 & 1 & -1 & -20 \\ 2 & -1 & 1 & 29 \\ 3 & 2 & 1 & 29 \end{array} \right]$

• Multiply through row 1 by -1.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 2 & -1 & 1 & 29 \\ 3 & 2 & 1 & 29 \end{array} \right]$

• Eliminate the entries in the first column of the second and third rows. Combine -2 (row 1) with row 2, and -3 (row 1) with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 5 & -2 & -31 \end{array} \right]$

• Eliminate the entry in the second column of the third row. Combine -5 (row 2) with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 3 & 24 \end{array} \right]$

• Multiply row 3 by 1/3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 1 & 8 \end{array} \right]$

• Eliminate the entry in the third column of the second row. Combine row 2 with row 3.

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & 0 & -3 \\ 0 & 0 & 1 & 8 \end{array} \right]$

• Eliminate the entries in the second and third columns of the first row. Combine row 1 with row 2 and -1 (row 3).

$\left[ \begin{array}{ccc|c} 1 & 0 & 0 & 9 \\ 0 & 1 & 0 & -3 \\ 0 & 0 & 1 & 8 \end{array} \right]$

Then the solution to the system is

$\boxed{x=9, y=-3, z=8}$

If you want to use G elimination and substitution, you'd stop at the step with the augmented matrix

$\left[ \begin{array}{ccc|c} 1 & -1 & 1 & 20 \\ 0 & 1 & -1 & -11 \\ 0 & 0 & 1 & 8 \end{array} \right]$

The third row tells us that $z=8$ . Then in the second row,

$y-z = -11 \implies y=-11 + 8 = -3$

and in the first row,

$x-y+z=20 \implies x=20 + (-3) - 8 = 9$

5 0

1 year ago

How to simplify fraction to its lowest terms

tatuchka [14]

5/15 = 1/3
6/15 = 2/5
6/8 = 3/4
2/4 = 1/2

6 0

3 years ago

Read 2 more answers

Tell whether the equation has one, zero, or infinitely many solutions.<br> 5(x – 7) + 5 = 5x – 30

Bezzdna [24]

Answer:

infinite solutions

Step-by-step explanation:

3 0

2 years ago

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume

Assoli18 [71]

Answer: $d=18t$

Step-by-step explanation:

By definition, Direct proportion equations have the following form:

$y=kx$

Where "k" is the constant of proportionality.

In this case you know that the distance (in meters) that an ant can travel varies directly with the amount of time (in hours) the ant spends walking.

With this information you can write the following equation:

$d=kt$

According to the exercise, the constant of proportionality is:

$k=18$

Therefore, substituting the value of the constant of proportionality into the equation, you get that the equation that represents the proportional relationship between "d" and "t" is:

$d=18t$

4 0

2 years ago