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DanielleElmas [232]
3 years ago
13

Paul has a pocket full of 150 coins containing pennies, nickels and dimes. If 24% of his coins are pennies, and 51 of his coins

are nickels, how many dimes does he have?​
Mathematics
1 answer:
Paraphin [41]3 years ago
8 0

Answer:He has 63 dimes

Step-by-step explanation:

Hope this helps!

24% of 150=36

51+36=87

150-87=63

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Express this to single logarithm
zzz [600]

Answer:  \log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)

We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.

===========================================================

Explanation:

It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.

I'm going to use these three log rules, which apply to any base.

  1. log(A) + log(B) = log(A*B)
  2. log(A) - log(B) = log(A/B)
  3. B*log(A) = log(A^B)

From there, we can then say the following:

\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}

8 0
3 years ago
What is the perimeter of a rectangle with sides 3 ft and (c+4) ft?
Alika [10]

Answer:

(2c+14) ft

Step-by-step explanation:

The answer is (2c+14) ft because as 2 sides measure 3 feet, we have 6 feet for two sides. The other two sides measure (c+4) feet, and there is (2c+8) feet for two sides. If you add the results together, you get (2c+14) feet. Hope it helps!

7 0
3 years ago
What is m pqr? <br> Please helps
LiRa [457]

Answer:

134 degrees

Step-by-step explanation:

Line PQS is 180 degrees. That being said, the addition of <PQR and <SQR equal 180 degrees.

Now you need to set up an equation to find out what angle PQR is. Since there is an X, you need to solve for X. The equation looks like this:

(3x+5) + (x+3) = 180

<u>Solve for x</u>

(3x+5) + (x+3) = 180\\4x+8=180\\4x=172\\x=43

Now plug in 43 where you see x. For this question, you only need to focus on (3x+5)

3(43) + 5 = 134

m<PQR = 134°

Do this every, single, time when you see these questions. Remember that line PQS is 180 degrees, and both of those angles are equal to 180 degrees.

If you want to check if this is true, plug in 43 into our equation we made to see if it equals 180 degrees. <em>If it doesn't equal 180, your equation is incorrect.</em>

<em />

3(43)+5+43+3 = 180

134 + 46 = 180

180 = 180 ✅

4 0
3 years ago
Please help I will give brainliest IF IT IS CORRECT
Andreyy89

Answer:

third graph and (3, -1)

Step-by-step explanation:

y = 2/3x - 3

y = -2x + 5

2/3x - 3 = -2x + 5

2 2/3x = 8

8/3x = 8

8x = 24

x = 3

find 'y'

y = -2(3) + 5

y = -1

The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5

5 0
2 years ago
PLEASE HELP WITH THIS
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I think they are not always the best deal, but most are. Sometimes they are not good if they opponent has a even lower price then them.
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3 years ago
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