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3 years ago

What expression is equivalent to 3log 4+log 6-log 8?

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

5 0

Answer:log48

Step-by-step explanation:

3log4+log6-log8

log4^3 + log6 - log8

log(4x4x4)+log6-log8

log64 + log6 - log8

log((64x6) ➗ 8)

log(384 ➗ 8)

log48

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Major league baseball team plays 162 game schedule so far graces favorite team won 11 games and lost 7 games if graces team wins

Vinil7 [7]

Answer:

Graces expect her Favorite team can win 99 games.

Step-by-step explanation:

Total games needs to be played = 162

So far graces favorite team won 11 games and lost 7 games

Games Won = 11

Games lost = 7

Total games played till now = Games Won + Games Lost = 11 +7 =18

Now we will find the winning percentage of the team.

Winning percentage can be calculated by dividing Games won with total games played till now and the multiplied with 100

Winning Percentage = $\frac{11}{18}\times100=61.11\%$

We need to find Total games team can win at same rate.

Games team can win can be calculated by multiplying Total games needs to be played this season with Winning Percentage.

Games team can win = $\frac{61.11}{100}\times 162 = 98.99 \approx 99$

Hence Graces can expect her favorite can win approximately 99 games.

8 0

3 years ago

Pi/6 is the reference angle for: 3pi/6 5pi/6 13pi/6 8pi/6

Elanso [62]

Answer:

$\frac{5\pi}{6}, \frac{13\pi}{6}$

Step by step

Remember, a reference angle is a positive acute angle that represents an angle θ of any measurement.

$\frac{3\pi}{6}=90^\circ$ , then its reference angle is $\frac{\pi}{2}$

$\frac{5\pi}{6}=150^ \circ$ is in the second cuadrant, then its reference angle is $180^ \circ -150^{\circ}=30^{\circ}=\frac{\pi}{6}$

$\frac{13\pi}{6}=390^\circ=360^\circ+30^\circ$ , then it is in the first cuadrant and the reference angle is $30^\circ =\frac{\pi}{6}$ .

$\frac{8\pi}{6}=240^\circ$ and it is in the third cuadrant, then its reference angle is $240^\circ -180^\circ=60^\circ=\frac{\pi}{3}$

5 0

3 years ago

In Ellen's math class, there are 2 boys for every 3 girls . What is the the following ratio of boys to girls in the class ?

IrinaK [193]

Based on the ratio of boys/girls We can infer that the only possibility for Ellen's math class would be answer B. 14/21

4 0

3 years ago

What is the value of this expression 18+3(10-2)

Alina [70]

Answer:

Step-by-step explanation:

First subtract 10 by 2

18+3(8)

Now multiply 3 and 8

18+24

now add 18 and 24

18+24=42

Hope this helps! : )

6 0

3 years ago

Joe paid $14 for a board game. this is 70% of the original price. what was the original price?

tino4ka555 [31]

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be

x * 70/100 = 14

x * 7/10 = 14

Multiply both sides by 10.

7x = 140

Divide both sides by 7.

x = 20

4 0

1 year ago