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jolli1 [7]
3 years ago
6

Express the fraction as a percent. Round to the nearest tenth of a percent if necessary

Mathematics
2 answers:
Butoxors [25]3 years ago
8 0
1/7 is about .143, which is equal to 14.3%.  D is the correct answer.
tino4ka555 [31]3 years ago
4 0
= 1/7

= 1 ÷ 7

= 0.142857

0.142857 x 100 = 14.2857%

Rounded to the nearest tenth is D) 14.3%
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Problem #2

We must find the solution to the following system of inequalities:

\begin{gathered} 3x-2y\leq4, \\ x+3y\leq6. \end{gathered}

(1) We solve for y the first inequality:

-2y\leq4-3x.

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

\begin{gathered} 2y\ge-4+3x, \\ y\ge\frac{3}{2}x-2. \end{gathered}

The solution to this inequality is the set of all the points (x, y) over the line:

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,

• y-intercept b = -2.

(2) We solve for y the second inequality:

\begin{gathered} x+3y\leq6, \\ 3y\leq6-x, \\ y\leq-\frac{1}{3}x+2. \end{gathered}

The solution to this inequality is the set of all the points (x, y) below the line:

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This line has:

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,

• y-intercept b = 2.

(3) Plotting the lines of points (1) and (2), and painting the region:

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,

• and below the line from point (2),

we get the following graph:

Answer

The points that satisfy both inequalities are given by the intersection of the blue and red regions:

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