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Ket [755]
4 years ago
5

Please Answer Quick 65 Points ! !

Mathematics
1 answer:
NeTakaya4 years ago
5 0

The correct answers are:

  • The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
  • The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

Further explanation:

Given equations are:

2x-y = -5

x+3y = 22

We have to check whether the given statements are true or not. In order to find that we have to put the points in the equations

Putting the point in 2x-y = -5

2x - y = -5\\2(7) -19 = -5\\14-19 = -5\\-5 = -5

Putting the point in x+3y=22

7 + 3 (19) = 22\\7 + 57 = 22\\64 \neq 22

The point satisfies the first equation but doesn't satisfy the second. So,

1. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.

This statement is true as the point satisfies the first equation

2. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.

This Statement is false.

3. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.

This statement is true.

4. The ordered pair (7, 19) is a solution to the system because it makes both equations true.

This statement is false as the ordered pair doesn't satisfy both equations.

Keywords: Solution of system of equations, linear equations

Learn more about solution of linear equations at:

  • brainly.com/question/13168205
  • brainly.com/question/1465430

#LearnwithBrainly

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Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a sca
BigorU [14]

Answer:

Length of scale = 15 cm

Width of scale = 5 cm

Step-by-step explanation:

Dimensions of the kitchen of Mai are given as:

Length of kitchen = 6 m

Width of kitchen = 2 m

Scale to be used = 1 to 40

To find:

The drawing with labeling and dimensions of the scale drawing.

Solution:

First of all, let us understand about the concept of scaling.

Scaling is a method to represent big structures on paper.

For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.

Here, the scale factor used is 1 to 40.

i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.

40 units of kitchen = 1 unit of scale

1 unit of kitchen = \frac{1}{40} units of scale

6 m of kitchen = \frac{1}{40}\times 6\ m = \frac{600}{40}\ cm = 15\ cm

Length of scale = <em>15 cm</em>

40 units of kitchen = 1 unit of scale

1 unit of kitchen = \frac{1}{40} units of scale

2 m of kitchen = \frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm

Width of scale = <em>5 cm</em>

<em></em>

Please refer to the attached image as well for representation of given scale.

4 0
3 years ago
a teapot is 1/3 full of tea, when all of the tea is poured into an empty container, the container is 2/3 full. what fraction of
777dan777 [17]
1t/3=2c/3

2c/3=t/3  multiply both sides by 3

2c=t  divide both sides by 2

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So it takes 1/2 of a full teapot to fill one full container.
3 0
3 years ago
Plz tell me what I did wrong! I got:
Ivahew [28]

Answer:

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Step-by-step explanation:

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7 0
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Derrick is 4 years younger than twice his brothers age. Which expression could be used to find derricks age?
sladkih [1.3K]

Answer:

A. 2x-4

Step-by-step explanation:

Let his brother's age be x.

Derrick is 4 years younger than twice his brother's age. Which means derrick is 4 years younger than 2x.

Which makes derricks age 2x-4 since he is 4 years younger

8 0
4 years ago
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Kaylis [27]

Answer:

g(3) = 9

Step-by-step explanation:

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