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2 years ago

Please help me solve this equation and show the work show me how you got the answer

Mathematics

1 answer:

Nesterboy [21]2 years ago

7 0

Answer: k=3

Step-by-step explanation:

To solve for k, you want to isolate k.

$\frac{2}{5} (5k+35)-8=12$ [add both sides by 8]

$\frac{2}{5} (5k+35)=20$ [multiply both sides by 5/2]

$5k+35=50$ [subtract both sides by 35]

$5k=15$ [divide both sides by 5]

$k=3$

Now, we know that k=3.

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3 years ago

Just number 23 super confused

vodka [1.7K]

Answer:

x = -7

Step-by-step explanation:

This is an exponential equation.

$\frac{1}{2}^x=128$

We need to take log(or ln) of both sides and use logarithm property to solve this.

So, let's take ln of both sides, so we have:

$ln(\frac{1}{2}^x)=ln(128)$

Now, we will use this property shown below to further simplify:

$ln(a^b)=bln(a)$

So, we now have:

$ln(\frac{1}{2}^x)=ln(128)\\xln(\frac{1}{2})=ln(128)\\x=\frac{ln(128)}{ln(\frac{1}{2})}\\x=-7$

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3 years ago

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

dimulka [17.4K]

Answer:

$15x^2+5xy-125=0$

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

$l = x\sqrt{100} = 10x$

Width of rectangle, w =

$w = \dfrac{y}{2} +\dfrac{3x}{2}$

Area of rectangle = 125 square cm.

Area of rectangle =

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Putting values, we get,

$125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0$

is the required equation.

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2 years ago

Read 2 more answers

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fredd [130]

Answer:

22%

Step-by-step explanation:

x/100 * 160=35

160x=3500

21.875

hence to the nearest percent: 22%

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3 years ago

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Step-by-step explanation:

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3 years ago