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Ksivusya [100]
3 years ago
8

Complete the following table relating the diameter and circumference of different circles. Round values to the nearest hundredth

if needed.
​PLEASE HELP

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer:

9.42

8.60

4.71

4.39

Step-by-step explanation:

The equation to finding the circumference is πd=C

So for the row with the diameter of 3, you would multiply 3x3.14 to get 9.42

For the next row, you would set up 27=(3.14)d and you would divide the 27 by 3.14 to get 8.60

Next row, multiply 1.5 by 3.14 to get 4.71

Last row, set up the equation 13.8=(3.14)d and divide by 13.8 by 3.14 to get 4.39

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0.2x + 1 = 1.6x + 3.1<br> What value of x satisfies the equation above?
guapka [62]

Answer:

x = -1.5

General Formulas and Concepts:

<u>Pre-Alg</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

0.2x + 1 = 1.6x + 3.1

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 0.2x on both sides:          1 = 1.4x + 3.1
  2. Subtract 3.1 on both sides:             -2.1 = 1.4x
  3. Divide both sides by 1.4:                 -1.5 = x
  4. Rewrite:                                            x = -1.5

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitution:                    0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
  2. Multiply:                           -0.3 + 1 = -2.4 + 3.1
  3. Add:                                 0.7 = 0.7
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The graph of 3x + 4x = -1 is shown on the grid. Which ordered pair is in the solution set of 3x + 4y ≤ -1?
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ANSWER

C(2,-6)

EXPLANATION

The solution set to given inequality is the shaded region.

The points are also located in the graph above.

The only point that falls in the solution region is C(2,-6)

The ordered pair that is in the solution set is C(2,-6)

The third option is correct.

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