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2 years ago

What are the factors of58

Mathematics

1 answer:

liubo4ka [24]2 years ago

8 0

1,2, 29,and 58 are the factors of 58.

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A frame is 4 inches tall and 3 inches wide if it is enlarged to a height of 24 inches then how wide will it be

Katarina [22]

Height: width
4:3 = 24:x
x = 18
The frame will be 18 inches wide.

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2 years ago

John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at speed of 42mph.

nataly862011 [7]

Answer:

48 mph

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2 years ago

-5.6+(-9.72) what does this equal?

nevsk [136]

So I'm not totally sure but I got -15.32

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2 years ago

3. Ellie can type 105 words in 3 minutes.

Marta_Voda [28]

Answer:

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6 0

3 years ago

Read 2 more answers

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 x to the left side and factor out x :

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

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

Solve for x 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