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3 years ago

Which two expressions are equivalent?

Mathematics

1 answer:

ivanzaharov [21]3 years ago

4 0

Answer:

The correct answer is:

Option H: 7(x − 3) and 7x − 7 • 3

Step-by-step explanation:

Equivalent expressions are those expressions that simplify to the same expression i.e. the result of both expressions is the same. There is no change of sign or variable or any quantity.

Option H:

The two expressions are:

7(x − 3) and 7x − 7 • 3

$7(x-3) = 7x - 21\\7x - 7.3 = 7x-21$

It can clearly be seen that both the expressions result in same expression

Hence,

The correct answer is:

Option H: 7(x − 3) and 7x − 7 • 3

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The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.

Rama09 [41]

Answer:

The mass of Sun is $65\times 10^5$ times greater than mass of Mercury.

Step-by-step explanation:

We are given that

Mass of the sun= $M=2.13525\times 10^{30}$ kg

Mass of Mercury, $m=3.285\times 10^{23}$ kg

We have to find how many times greater is the mass of the sun than the mass of Mercury.

Mass of sun/Mass of mercury= $\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}$

Mass of sun/Mass of mercury $=0.65\times 10^{30-23}$

Using the property

$a^x/a^y=a^{x-y}$

Mass of sun/Mass of mercury $=0.65\times 10^{7}$

Mass of sun/Mass of mercury $=65\times 10^5$

Mass of Sun= $65\times 10^5$ times Mass of Mercury

Hence, the mass of Sun is $65\times 10^5$ times greater than mass of Mercury.

8 0

3 years ago

2x-3y=1 2x+3y=2 describe the process of using addition to show that the lines are intersecting

NNADVOKAT [17]

Two lines in a plane can intersect,overlap or be parallel.When two lines intersect they have a common point which lies on both line.This is called solution of the two simultaneous equation which when graphed represent straight lines. Adding the two equations uses Elimination method to solve for x and y. The x and y value obtained is the common point lying on both the lines.

2x - 3y = 1

+ 2x + 3y = 2

4x =3 Or x=3/4

Substituting x value in any of the two-equation we can find the corresponding y value .

2x-3y=1

2(3/4) - 3y =1

Solving for y

y= 1/6

The point of intersection of the two lines is ( 3/4, 1/6)

Learn more about simultaneous equation here:brainly.com/question/16863577

#SPJ4

4 0

2 years ago

How do I get the ans??

ioda

Answer:

11 sets of forks

Step-by-step explanation:

First subtract 406-278 to find total amount of forks needed which is 128 forks.

Then divide 128 by 12 to see how many sets of forks you need.

You get 10.67 but because you can't buy two thirds of a set, you have to round up to 11 sets of forks.

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Two angles in a triangle measure 28 degrees and 93 degrees. What is the measure of the third angle?

Serggg [28]

Answer:

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

2. Tiangle ABC has vertices A(3, 3), B(2,-4), and c(0, 0). This triangle is rotated 90

Irina18 [472]

I pretty sure it (B) sorry if I’m wrong

5 0

3 years ago