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2 years ago

Are the expressions 2(3x - 6) and 6x + 12 are equivalent? Explain your reasoning.

2 answers:

7 0

The best way to find out is to make sure each equations are in equal forms. In this case, I’d like to make sure that both equations are expanded.

Although 6x+12 is expanded, 2(3x–6) is not. All you have to do is multiply both numbers inside the parentheses with the number on the outside.

2(3x–6)
2×3x=6x; 2×(–6)=–12

So, 2(3x–6) is 6x–12.

However, that does mean that 6x–12≠6x+12. (The expressions are NOT equivalent.) This is because although the variable 6x are the same, 12 is not equal to –12, meaning they aren’t the same number.

zvonat [6]2 years ago

5 0

Answer:

The two expressions are not equivalent

Step-by-step explanation:

2(3x-6) = 6x-12 which is not equal to 6x+12 because of the positive and

negative signs

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Parte de Cálculo: En cada una de las siguientes proporciones, utilizar regla de tres para determinar el valor desconocido

sineoko [7]

Answer:

x = 4

x = 3

x = 10

x = 3

x = 16

x = 35

Step-by-step explanation:

$\frac{x}{5} :\frac{8}{10}$

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

x = 4

$\frac{8}{12} :\frac{2}{x}$

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

x = 3

$\frac{15}{3} :\frac{x}{2}$

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

x = 10

$\frac{x}{6}:\frac{6}{12}$

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

x = 3

$\frac{x}{8} :\frac{4}{2}$

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

x = 16

$\frac{10}{2} :\frac{x}{7}$

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

x = 35

5 0

2 years ago

Use the spinner to identify the probability to the nearest hundredth of the pointer

Blizzard [7]

The answer is 0.60 because the sum of the shaded angles equals 145°, divided by 360° equals 0.60

4 0

2 years ago

there are 32 students in a class and 20 of them own at least one pet what fraction of the class own pets

xxMikexx [17]

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2 years ago

Terry and Bob each have an aquarium. Terry’s aquarium is 14 cm long, 12 cm high, and 10 cm wide. Bob’s aquarium is 13 cm long, 1

MArishka [77]

Find the volume of each tank by multiplying the length by the width by the height:

Terry: 14 x 12 x 10 = 1680 cubic cm.

Bob: 13 x 15 x 8 = 1560 cubic cm

Terry’s aquarium is larger and can hold more water.

8 0

2 years ago

fire work a travels at the speed 300 ft/s firework b travels 240 ft/s. firework b is launched 0.25s before firework a. how many

storchak [24]

Answer:

Both fireworks will explode after 1 seconds after firework b launches.

Step-by-step explanation:

Given:

Speed of fire work A= 300 ft/s

Speed of Firework B=240 ft/s

Time before which fire work b is launched =0.25s

To Find:

How many seconds after firework b launches will both fireworks explode=?

Solution:

Let t be the time(seconds) after which both the fireworks explode.

By the time the firework a has been launched, Firework B has been launch 0.25 s, So we can treat them as two separate equation

Firework A= 330(t)

Firework B=240(t)+240(0.25)

Since we need to know the same time after which they explode, we can equate both the equations

330(t) = 240(t)+240(0.25)

300(t)= 240(t)+60

300(t)-240(t)= 60

60(t)=60

$t=\frac{60}{60}$

t=1

7 0

2 years ago