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2 years ago

10

PLEASE HELP ME FIND THE AVERAGE!

1 answer:

Studentka2010 [4]2 years ago

7 0

Answer:

The answer is 22

The sum of two numbers is 48:

x + y = 48 ⇒ x = 48 - y

One third of one number is 5 greater than one sixth of another number:

1/3x =5 + 1/6 y

1/3(48 - y) = 5 + 1/6y

1/3 * 48 - 1/3 * y = 5 + 1/6 y

16 - 1/3y = 5 + 1/6y

16 - 5 = 1/6y + 1/3y

11 = 1/6y + 2/6y

11 = 3/6y

y = 11 * 6 / 3

y = 22

x = 48 - y

x = 48 - 22

x = 26

The smallest number is 22.

Step-by-step explanation:

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ch4aika [34]

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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.

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

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Expand the right side:

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

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

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

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

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2 years ago

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2 years ago

Read 2 more answers

kvv77 [185]

Option C: $5 x(4 x+7)(3 x+2)$ is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is $60 x^{3}+145 x^{2}+70 x$

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

$5 x\left(12 x^{2}+29 x+14\right)$

Let us break the expression $12 x^{2}+29 x+14$ into two groups, we get,

$5x[\left(12 x^{2}+8 x\right)+(21 x+14)]$

Factoring 4x from the term $12 x^{2}+8 x$ , we get,

$5x[4 x(3 x+2)+(21x+14)]$

Similarly, factoring 7x from the term $21 x+14$ , we get,

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Now, let us factor out $3x+2$ , we get,

$5 x(4 x+7)(3 x+2)$

Hence, the possible expressions for length, width and height of the prism is $5 x(4 x+7)(3 x+2)$

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2 years ago

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vodomira [7]

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3 years ago