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Feliz [49]
3 years ago
12

A system of equations is shown below. Which statement about the ordered pair (-7,-3) is true?

Mathematics
2 answers:
antoniya [11.8K]3 years ago
7 0
Answer:

C) It is the only solution to the system.

Step-by-step explanation:

3x + 3y = -30

2x + y = -17

3(-7) + 3(-3) = -30

-21 + -9 = -30

-30 = -30

True

2x + y = -17

2(-7) + (-3) = -17

-14 + -3 = -17

-17 = -17

True

jek_recluse [69]3 years ago
6 0
The lines defined by the equations are not parallel and the point is a solution to both of them.
It must be the point of intersection so it is the only solution to the system
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Asked on December 20, 2019 by

Ziya Vïvəķ

A cylindrical container with diameter of base 56cm contains sufficient water to submerge a rectangular solid of iron with dimensions (32×22cm×14cm). Find the rise in the level of water when the solid is completely submerged.

MEDIUM

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ANSWER

Given,

Diameter of the base of the cylindrical container d=56 cm

Hence, radius of the base of the cylindrical container r=

2

56

=28 cm

Dimensions of rectangular solid is (32 cm×22 cm×14 cm)

We know that when a body is completely submerged in a container containing water,

the rise in the volume of water in the container is equal to the volume of the body.

Let, the water rises to a height h.

Hence,

Volume of water rises in cylindrical container =Volume of the rectangular solid

πr

2

h=32×22×14 cm

3

7

22

×(28)

2

×h=9856 cm

h=

22×784

9856×7

cm

h=4 cm

4 0
3 years ago
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How many cubes with the side lengths of 1/2 cm does it take to fill the prisim?
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Answer:

Number of cubes that fills the prism=24

Step-by-step explanation:

The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm

Volume of  the prism=Length*Width*Height

Length=2 cm\\\\    Width=1 cm\\   \\ Height=3/2 cm = 1.5 cm

Volume of Prism = 2*1*1.5

                      =3.0 cm^3

Volume of the Cube:

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                                      = 0.125 cm^3

Number of cubes that fills the prism:

                                        3.0/0.125\\\\=24 cubes

So, the number of cubes that can fill the prism is '24'

8 0
3 years ago
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