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marin [14]
2 years ago
14

2. The difference of two numbers is 3. Their sum is 13. What are the two numbers?

Mathematics
1 answer:
kkurt [141]2 years ago
8 0

Answer:

The two numbers are x = 8 and y = 5

Step-by-step explanation:

Let the two numbers be x and y

The difference of two numbers is 3 is represented as:

x - y = 3------------------Equation 1

Their sum is 13 is represented as:

x + y = 13----------------Equation 2

x - y = 3------------------Equation 1

Using method of Elimination by subtracting Equation 1 from Equation 2

x-x + y-(-y) = 13 - 3

2y = 10

y = 10/2

y = 5

Substituting y = 5 in Equation 2

x + 5 = 13

x = 13 - 5

x = 8

∴ The two numbers are x = 8 and y = 5

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likoan [24]
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Which is 99000 x .67
6 0
3 years ago
Drina wrote the system of linear equations below.
zalisa [80]

Answer:

Option c, A square matrix

Step-by-step explanation:

Given system of linear equations are

3x-2y=-2\hfill(1)

7x+3y=26\hfill(2)

-x-11y=46\hfill(3)

Now to find the type of matrix can be formed by using this system

of equations

From the given system of linear equations we can form a matrix

Let A be a matrix

A matrix can be written by

A=co-efficient of x of 1st linear equation    co-efficient of y of 1st linear equation   constant of 1st terms linear equation

co-efficient of x of 2st linear equation   co-efficient of y of 2st linear equation  constant of 2st terms linear equation

co-efficient of x of 3st linear equation   co-efficient of y of 3st linear equation    constant of 3st terms linear equation           3\times 3

which is a 3\times 3 matrix.

Therefore A can be written as

A= \left[\begin{array}{lll}3&-2&-2\\7&3&26\\-1&-11&46\end{array}\right] 3\times 3

Matrix "A" is a 3\times3 matrix so that it has 3 rows and 3 columns

A square matrix has equal rows and equal columns

Since matrix "A" has equal rows and columns Therefore it must be a square matrix

Therefore the given system of linear equation forms a square matrix

7 0
2 years ago
Read 2 more answers
There are 3 red pens, 4 blue pens, 2 Blac pens, and 5 green pens in drawer, suppose you choose a pen at random
Alenkasestr [34]

Answer:

1. 3/14

2. 2/7

3. 1/7

4. 5/14

5. 11/14

6. 9/14

Step-by-step explanation:

first get the total number of pens

3 red pens + 4 blue pens + 2 black pens + 5 green pens =

14 total number of pens

1. What is the probability that the pen chosen red?

3 red pens out of a total of 14 pens = 3/14

2. What is the probability that the pen chosen is blue?

4 blue pens out of a total of 14 pens = 4/14 -> simplified -> 2/7

3. What is the probability that the pen chosen is black?

2 black pens out of a total of 14 pens = 2/14 -> simplified -> 1/7

4. What is the probability that the pen chosen is green?

5 green pens out of a total of 14 pens = 5/14

5. What is the probability that the pen chosen is NOT red?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

4 blue pens, 2 black pens and 5 green pens are NOT red

4 blue pens + 2 black pens + 5 green pens =

11 total number of pens that are NOT red

11 total number of pens that are NOT red out of a total of 14 pens = 11/14

6. What is the probability that the pen chosen is NOT green?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

the 3 red pens, 4 blue pens, 2 black pens are NOT green

3 red pens + 4 blue pens + 2 black pens =

9 total number of pens that are NOT green

9 total number of pens that are NOT green out of a total of 14 pens = 9/14

gathmath.com

6 0
1 year ago
Read 2 more answers
Which of the following best describes the algebraic expression x/3 -15
Dennis_Churaev [7]

Answer:

A. A number divided by three minus fifteen.

7 0
3 years ago
A basketball player completed ​44.2% of his field goals in the most recent season. He made 287 field goals. How many did he​ att
Andrej [43]

44.2%= 287

Let the total attempt = x

(287/x) ×100 = 44.2

287/x = 44.2/100

287/x = 0.442

x = 287/0.442

<h3>x= <u>649 </u></h3>

Hope this will help...

5 0
3 years ago
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