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Scrat [10]
2 years ago
10

(m 5/6) (m1/6) ^7 = m^x

Mathematics
1 answer:
nadezda [96]2 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Here, we want to find the value of x

(m^5/6)(m^1/6)^7 = m^x

= (m^5/6)(m^7/6) = m^x

Using the law of indices for power multiplication

m^(5/6 + 7/6) = m^x

m^(12/6) = m^x

m^2 = m^x

we simply equate the powers in this case since the base are equal

Thus we have

x = 2

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What is the simplified fraction of 13/24
adoni [48]
\frac{13}{26} divide the numerator and denominator by 13

= \frac{1}{2}
8 0
3 years ago
What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun
kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

  = πr² × \frac{\frac{5\pi }{6} }{2\pi }

  = π × 2.8² × \frac{5}{12} ≈ 10.26 in²

7 0
3 years ago
joel has 24 sports trophies. of the trophies, 1/8 are soccer trophies. how many soccer trophies does joel have?
hichkok12 [17]

Answer:

3 soccer trophies does Joel have

Step-by-step explanation:

As per the statement:

Joel has 24 sports trophies.

⇒Total sport trophies Joel have= 24

It is also given: of the trophies, 1/8 are soccer trophies

We have to find how many soccer trophies does Joel have.

\text{Joel have soccer trophies} =\frac{1}{8} \cdot 24

Simplify:

\text{Joel have soccer trophies} =3

Therefore, 3 soccer trophies does Joel have

3 0
3 years ago
Read 2 more answers
Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma
emmainna [20.7K]

The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

  • Number of messages Kaitlyn sent = x
  • Number of messages Tony sent = x + 5
  • Number of messages Austin sent = 4(x + 5)
  • Total messages = 103

103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

Learn more about equation:

brainly.com/question/2972832

#SPJ1

3 0
1 year ago
16 = M - 14 what is the answer for this Question. thank you!
Ivenika [448]
16+14 = 30.

30 is your answer
6 0
3 years ago
Read 2 more answers
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