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Leviafan [203]
2 years ago
13

Problem Solving Guess and Check: Place 40 checkers in two stacks so that, if five checkers are moved from the taller stack to th

e shorter one, there will be the same number of checkers in each stack. How many checkers were in the taller stack?
PLEASE ANSWER THIS URGENTLY
Mathematics
1 answer:
Allushta [10]2 years ago
4 0

Answer:

Answer:

10

Step-by-step explanation:

6 in the first, and 12 in each of the other

That means 6 + 12 + 12 = 30

Since there are three stacks, divide 30 by

3

30/3 = 10

There will be 10 books in each stack

If my answer is incorrect, pls correct me!

If you like my answer and explanation,

mark me as brainliest!

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I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
2 years ago
What is the range of the following data set?
QveST [7]

60,40,35,45,39

Put in order from least to greatest

35, 39, 40, 45, 60


Range = Max - Min

Range = 60 - 35

Range = 25


Answer

D) 25

3 0
3 years ago
What’s the third side?
romanna [79]
The anwser is 90 because its 90 degree angle
6 0
3 years ago
A paint store mixed 4 3/4 cans of paint and 7 2/3 cans of white paint did this mixture make?
stira [4]

Answer:

12 5/12 cans of white make

Step-by-step explanation:

6 0
3 years ago
Please help meeeeedeededdesesseeeee
Rudiy27

Answer:

78.5

Step-by-step explanation:

A=πr^2 is the formula. Since you're using pi as 3.14, 3.14 times 5^2 is 78.5 (5^2 is 25 because 5x5=25)

4 0
3 years ago
Read 2 more answers
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