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AveGali [126]
2 years ago
5

Which of the following are true statements?

Mathematics
1 answer:
MArishka [77]2 years ago
6 0

Answer: Option A and Option B.

Step-by-step explanation:

You need to remember the logarithms properties:

log(a)+log(b)=log(ab)\\\\log(a)-log(b)=log(\frac{a}{b})\\\\log(a)^b=b*log(a)

You can observe in Option A:

logM^p=p*logM (This is true)

You can observe in Option B:

logM+logN=log(MN) (This is true)

You can observe in Option C:

logM-logN=log(M-N) (This is not true)

You can observe in Option D:

(logM)^p=p*logM (This is not true)

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rodikova [14]
310 - 220 = 90
90/310 = x/100 (cross multiplication) 
9000 = 310x
9000/310 = x
x = around 29%
8 0
3 years ago
Convert 0.25 with the 5 recurring to a fraction in its simplest form.
pentagon [3]

Answer:

Step-by-step explanation:

I'm taking this to mean

x = 0.255555555555... If this is not correct, leave a note. Multiply by 100

100 x = 25.55555555555555 ...     Divide by 10

  10x =    2.55555555555555 ...     Subtract

90 x = 23

x = 23/90    

Try putting 23/90 in your calculator. You will find it is 0.25555555... just what you were given    

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2 years ago
Sam is fencing in his property. The length is 12 feet less than twice the width. If the total amount of fence needed is 216 feet
DaniilM [7]

Answer:

L = 68 ft

Step-by-step explanation:

To find the perimeter of something you need to add up all the sides

In this case I am assuming Sam's property is a square/rectangle

  • Which means the formula for the perimeter is P = 2L + 2W

If L = 2W - 12 and P = 216, we can use these values and plug them into our perimeter equation to solve for w and then solve for l

  • 216 = 2(2W -12) + 2W → ditributing the 2 to the (2w - 12) gives us
  • 216 = 4W - 24 + 2W → combing like terms gives us
  • 216 = 6W - 24 → adding 24 to both sides gives us
  • 240 = 6W → dividing both sides by 6 gives us
  • 40 ft = W

With the width being solved, we can now plug that value into our length equation

  • L = 2(40) - 12 → distributing the 2 to the 40 gives us
  • L = 80 - 12 → combing like terms give us
  • L = 68 ft
3 0
3 years ago
Elizabeth was playing a board game with her friends. On her first turn she moved 6 spaces forward. on her second turn she moved
irina [24]
The answer is 7. if you go ahead and add 6+5 you will get 11 and if you take away 4 you are left with 7. hope this helps. :)
8 0
3 years ago
Y=-5y=−5 Evaluate this expression: 3y+6=3y+6=
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Answer: 3y+6

Step-by-step explanation:

5 0
3 years ago
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