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aleksklad [387]
2 years ago
13

Which pair of fractions is equivalent to this pair?

Mathematics
1 answer:
I am Lyosha [343]2 years ago
8 0
The answer is B 10/18 and 3/18
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Solve the equation 3(x+4.5x ) = 36. Explain your reasoning THOROUGHLY.
Vesna [10]

Answer:

x \approx 2.18

Step-by-step explanation:

3(x+4.5x)=36

we can use the distributive property and get

3(x)+3(4.5x)=36\\\\3x+13.5x=36\\\\

and we can add like terms

(3+13.5)x=36\\\\16.5x=36

and know we divide both sides by 16.5

16.5x*(\frac{1}{16.5})=36*(\frac{1}{16.5})\\\\x=\frac{36}{16.5}

and doing the dvision we get that

x\approx 2.18

3 0
2 years ago
A 24.6 g marble sliding to the right at 62.0 cm/s overtakes and collides elastically with a 12.3 g marble moving in the same dir
Softa [21]

Answer:

Velocity of the 24.6 g marble is 31 cm/s.

Step-by-step explanation:

Given:

Marble 1:

Mass of the marble (m_1) = 12.3 gm

Velocity of m_1 before collision v_1_i = 15.5 cm/s

Velocity of m_1 after collision v_1_f = 77.5 cm/s

Marble 2:

Mass of the marble (m_2) = 24.6 gm

Velocity of m_2 before collision v_2_i = 62 cm/s

Velocity of m_2 after collision v_2_f = ?

From the law of conservation of momentum, we know that momentum before equals the momentum after :

So,

⇒ P(i)=P(f)

⇒ (m_1\times v_1_i )+(m_2\times v_2_i) =(m_1\times v_1_f)+(m_2\times v_2_f)

⇒ Plugging the values.

⇒ (12.3\times 15.5) +(24.6\times 62)=(12.3\times 77.5)+(24.6\times v_2_f)

⇒ 190.65+1525.2=953.25+24.6\times v_2_f

⇒ 1715.85=953.25+24.6\times v_2_f

⇒ 1715.85-953.25=24.6\times v_2_f ...subtracting both sides 953.25

⇒ 762.6=24.6\times v_2_f

⇒ \frac{762.6}{24.6}\ =v_2_f ...dividing both sides with 24.6

⇒ 31=v_2_f

⇒ v_2_f =31 cm/s

The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.

6 0
3 years ago
The circumference of a circle is 36pi cm what is the radius
alexdok [17]

Answer:

The radius is 18 cm

Step-by-step explanation:

The formula for circumference with radius is

C = 2*pi*r

We know the circumference is 36 pi

36 pi = 2 * pi *r

Divide by pi

36 pi/pi = 2 * pi/pi *r

36 = 2r

Divide by 2

36/2 = 2r/2

18 = r

8 0
3 years ago
The concentration of the substance outside the cell and C2 represents the concentration of the substance
BigorU [14]

Is this math? I'm sorry I don't get what formula I'm supposed to rewrite or -

6 0
3 years ago
Find the product enter answer below
dezoksy [38]

Answer:

1/42

Step-by-step explanation:

\dfrac{1}{7}\cdot \dfrac{1}{6}= \\\\\\\dfrac{1\cdot 1}{7\cdot 6}= \\\\\\\dfrac{1}{42}

Hope this helps!

8 0
3 years ago
Read 2 more answers
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