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Alexeev081 [22]
3 years ago
5

The sum of a number X and four all divided by three

Mathematics
2 answers:
sergey [27]3 years ago
4 0

If you are looking for the expression, that would be (x+4)/3

pickupchik [31]3 years ago
4 0

Answer:

\frac{x + 4}{3}

Step-by-step explanation:

First Chunk:

x and 4

Second Chunk:

All divided by 3

The first chunk (part) says "x and four".

That means x + 4

The second part says that everything is divided by 3. That means that x + 4 is divided by 3.

Therefore, the answer is (x+4)/3. Hope this helped!

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Explanation:

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Why is a right equilateral triangle impossible?
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A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8
stealth61 [152]

Answer:

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

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8 0
2 years ago
Given: △ACM, m∠C=90°, CP ⊥ AM
larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

8 0
3 years ago
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