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zhenek [66]
2 years ago
12

The time that a dolphin can hold its breath underwater compared to the time a penguin can hold its breath underwater is represen

ted by the ratio 3 to 4. If a penguin can hold its breath for 20 minutes, how long can a dolphin hold its breath underwater?
Mathematics
1 answer:
goldenfox [79]2 years ago
3 0

Answer:

12 minutes

Step-by-step explanation:

3:4

?:20

5 times 4 is 20. So multiply 3 by 4. 3 times 4 is 12.  A dolphin would hold its breath for 12 minutes.

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Marisol has 5 times as many books as jerry. Jerry has 15 books. How many more books does marisol have
ICE Princess25 [194]

Answer:

5 times more books

Step-by-step explanation:

In total Marisol has 75 books.  She has 5 times as many books and Jerry has 15.  5*15=75

6 0
2 years ago
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
A. Graph the function ????(x) = 3 cos(2x) + 1 between 0 and 2????.
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Step-by-step explanation:

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amid [387]

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2 years ago
Write an expression for four times the product of -9 and x and then simplify it.
katrin2010 [14]
4(-9*x)

Multiply the two numbers
-36x

Final answer: -36x
5 0
3 years ago
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