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denpristay [2]
3 years ago
8

If three times a number added to 8 is divided by the number plus 7, the result is four thirds. Find the number.​

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

9514 1404 393

Answer:

  4/5

Step-by-step explanation:

The wording is ambiguous, as it often is when math expressions are described in English. We assume you intend ...

  \dfrac{3n+8}{n+7}=\dfrac{4}{3}\\\\3(3n+8)=4(n+7)\qquad\text{multiply by $3(n+7)$}\\\\9n+24=4n+28\qquad\text{eliminate parentheses}\\\\5n=4\qquad\text{subtract $4n+24$}\\\\\boxed{n=\dfrac{4}{5}}\qquad\text{divide by 5}

The number is 4/5.

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Help! If you know this can you tell me how to do it?
aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

Here's how this works:

Get everything together into one fraction by finding the LCD and doing the math.  The LCD is sin(x) cos(x).  Multiplying that in to each term looks like this:

[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?

In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

\frac{sin^2(x)}{sin(x)cos(x)}+\frac{cos^2(x)}{sin(x)cos(x)}=?

Put everything over the common denominator now:

\frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)}=?

Since sin^2(x)+cos^2(x)=1, we will make that substitution:

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We could separate that fraction into 2:

\frac{1}{sin(x)}×\frac{1}{cos(x)}

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Therefore, the simplification is

sec(x)csc(x)

5 0
4 years ago
The date of death for a widow was 2019. If the estate was valued at $2,186,000 and the estate was taxed at 40 percent, what was
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Answer:

Value of tax liability will be zero

Step-by-step explanation:

Given:

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Computation:

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We know that Estate Exemption  is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.

7 0
3 years ago
*Pls help me*<br> No links
harkovskaia [24]

Answer:

See below ↓

Step-by-step explanation:

a. 4 ÷ (2/3) = 12/3 ÷ 2/3 = 12 ÷ 2 = 6

b. 4 ÷ 1 = 4

Attachment below.

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2 years ago
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Dimensional Analysis,
appears often in Chemistry.
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3 years ago
On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 4 inches and
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Answer:

the two triangles are the same shape but not the same size

Step-by-step explanation:

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2 years ago
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