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trasher [3.6K]
3 years ago
6

2a−1/2a and 3a−1/3a , where a is a positive number.

Mathematics
1 answer:
Andrew [12]3 years ago
6 0

Answer:

  • 3/2a
  • 8/3a

Step-by-step explanation:

Maybe you want to simplify each of these expressions.

  2a -1/2a = (2 -1/2)a = (3/2)a

__

  3a -1/3a = (3 -1/3)a = (8/3)a

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What will be the answer for this? Please help me, please and thank you
Shkiper50 [21]

Answer:

10:1

Step-by-step explanation:

When you cross multiply the fractions together, you should get 30:3. When you simplify that, you get 10:1 as your answer.

5 0
3 years ago
Stock worth $80 a share dropped in value by 15% on Tuesday, then increased by $7 the next Wednesday and, finally, increased by 1
Nutka1998 [239]
<h2>Steps</h2>

So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):

  • When <em>decrease</em>: (1 - p)m
  • When <em>increase</em>: (1 + p)m

So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:

15\%=0.15\\\\(1-0.15)*80\\0.85*80\\68

<em>On Tuesday, the share went from $80 to $68</em>

Next, on Wednesday the share increased by $7. With this, just add $68 and 7.

68+7=75

<em>On Wednesday, the share went from $68 to $75</em>

Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:

12\%=0.12\\\\(1+0.12)*75\\1.12*75\\84

<h2>Answer</h2>

<u>The final price of the share is $84.</u>

7 0
3 years ago
The difference of sample means of two populations is 108.7, and the standard deviation of the difference in sample means is 32.
charle [14.2K]

Answer: A. The difference of the two means is significant at the 68% confidence level, so the null hypothesis must be rejected.

Step-by-step explanation:

I just got it right on PLATO, so I know it’s 100% correct.

5 0
3 years ago
The mother's age is 8 times her son's age. After 6 years, the age of the mother will be 9/2 times her son's age. The present age
Yakvenalex [24]

Answer:

son = 6 mother = 48

Step-by-step explanation:

Mother = m

son = s

m = 8s

m+6 = 9/2 * (s+6)

so

2(8s + 6) = 9(s +6)

16s + 12 = 9s + 54

16s - 9s = 54 - 12

7s = 42

s = 42/7 = 6 years old

so the mother is 8s = 8*6= 48 years old

4 0
3 years ago
Read 2 more answers
A tank currently holds 5 gallons of water. It is being filled at the rate of 1/4 gallon per minute. How long will it take for th
Verdich [7]
So we know the tank already has 5 gallons and we need 9. This means we need 4 more gallons in order to fill up the tank.

If 1/4 gallon is being filled per minute we need to find out how many 1/4 gallons makes up 4 gallons in total.

4 of the 1/4 gallons makes up 1 whole gallon. So since we need 4 whole gallons we would need 16 of the 1/4 gallons.

This means that it will take 16 minutes for the tank to hold 9 gallons of water. 
6 0
3 years ago
Read 2 more answers
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