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Harlamova29_29 [7]
3 years ago
8

How many solutions exist for the given equation?

Mathematics
1 answer:
zmey [24]3 years ago
8 0
<h3> Answer </h3>

x = 2

<h3>Step by step</h3>

1/2(x + 12) = 4x - 1

1/2x + 12/2 = 4x - 1

1/2x + 6 = 4x - 1

1/2x - 4x = -1 - 6

1/2x - 8/2x = -7

-7/2x = -7

x = -14/-7

x = 2

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3 years ago
Jane is a cliff diver and she is planning on jumping from a height of 747 feet and landing in the water below. She will end her
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811 feet

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When finding height difference, you use absolute value, so everything is positive. 747+64 = 811, so your answer is 811 feet.

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If the numbers 4, 5 and 6 are each used exactly once to replace the letters in the expression A ( B − C ), what is the least pos
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Answer:

The least possible result is <em>-10</em>.

Step-by-step explanation:

Given the numbers 4, 5 and 6 are to be chosen one of the letters A, B or C.

First of all,

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A(B-C) = 4 \times (5-6) = 4 \times -1 = -4

Let A = 4, B = 6 and C = 5

A(B-C) = 4 \times (6-5) = 4 \times 1 = 4

Let A = 5, B =4 and C = 6

A(B-C) = 5 \times (4-6) = 5 \times -2 = -10

Let A = 5, B = 6 and C = 4

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Let A = 6, B = 4 and C = 5

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Let A = 6, B = 5 and C = 4

A(B-C) = 6 \times (6-5) = 6 \times 1 = 6

Summarizing the above values in the form of a table:

\begin{center}\begin{tabular}{ c c c c}A & B & C & A(B-C)\\ 4 & 5 & 6 & -4\\  4 & 6 & 5 & 4\\  5 & 4 & 6 & -10\\  5 & 6 & 4 & 10\\  6 & 4 & 5 & -6\\ 6 & 5 & 4 & 6\end{tabular}\end{center}

So, the least possible result is <em>-10</em>.

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3 years ago
Q. A pharmacist mixes 3 grams of compound with 5,000 milligrams of solution to create a prescription. How many total grams is th
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By definition in 1 gram there are 1000 mg.

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