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2 years ago

Dante is solving the system of equations below.

Mathematics

2 answers:

KatRina [158]2 years ago

5 0

Answer: The answer is C. -4, -9/5, 3

Step-by-step explanation:

I just took the test

max2010maxim [7]2 years ago

3 0

Answer: The answer is the first matrix. Image attached.

Step-by-step explanation: Given that Dante is solving the system of equations:

$r+s-t=-4,\\2r-3s+t=1,\\3r-2s+2t=3.$

In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.

We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.

In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have

r = -1, s = 0 and t = 3.

If we substitute these values in the given system, it will get satisfied.

Thus, the first matrix, attached herewith, is the correct matrix.

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Sam's Furniture Store places the following advertisement in the local newspaper.

boyakko [2]

Answer:

$500

Step-by-step explanation:

<h3>Given</h3>

Sofa = s
Love seat = l
Chair = c

Sofa and love seat cost = $1300
Sofa and 2 chairs cost = $1400
Sofa, love seat and one chair cost = $1600

Love seat = ?

<h3>Solution</h3>

<u>Equations as per given are:</u>

s + l = 1300
s + 2c = 1400
s + l + c = 1600

<u>Subtract equation 1 from equation 3:</u>

s + l + c - s - l = 1600 - 1300
c = 300

<u>Considering this in the equation 2:</u>

s + 2*300 = 1400
s = 1400 - 600
s = 800

<u>Substituting s in the equation 1:</u>

800 + l = 1300
l = 1300 - 800
l = 500

<u>Answer:</u> Love seat costs $500

6 0

2 years ago

A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th

Delvig [45]

Answer: Rectangular container is preferred to minimize the costs and there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

Since we have given that

Number of candles in a rectangular container = 45

Number of candles in a cylindrical container = 41

Cost of each rectangular container = $15

Cost of each cylinder container = $16

That means ,

In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

$\frac{15}{45}=\frac{1}{3}=\$0.33$

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

$\frac{16}{41}=\$0.39$

So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

$\frac{6400}{45}=142.2=142\ approximately.$

Hence, there are 142 rectangular container is needed to pack 6400 candles.

4 0

2 years ago

Read 2 more answers

The experimental probability that Kevin will catch a fly ball is equal to 7/8. About what percent of the time will Kevin catch a

Paladinen [302]

Answer:

87.5% percent chance.

Trust me it's right.

6 0

2 years ago

THIS IS URGENT I NEED THIS AS SOON AS POSSIBLE! YOUR HELP WOULD BE GREATLY APPRECIATED!

serious [3.7K]

Answer:

Strawberries sold 44 baskets

Raspberries sold 52 baskets

Step-by-step explanation:

$4x + 9y = 644 \\ x + y = 96 \\ 4x + 4y = 384 \\ 5y = 260 \\ y = 52 \\ x = 44$

7 0

1 year ago

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Does the type of program people watch influence how much they eat? A total of 94 college students were randomly assigned to one

jolli1 [7]

Answer:

Television has been accused of helping people gain weight because it encourages a sedentary lifestyle. Television is like other entertaining activities that can get people to eat more, including reading, listening to the radio, and interacting with dinner mates.

8 0

2 years ago