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konstantin123 [22]
3 years ago
5

Solve 2/3x >8 or 2/3x<4

Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0
\frac{2}{3} x \ \textgreater \  8 \\ \\  \frac{2x}{3} \ \textgreater \  8 \\ \\ 2x \ \textgreater \  8 \times 3 \\ \\ 2x \ \textgreater \  24 \\ \\ x \ \textgreater \   \frac{24}{2} \\ \\ x \ \textgreater \  12 \\ \\

The final result is: x > 12.

--------

\frac{2}{3} x \ \textless \  4 \\ \\  \frac{2x}{3} \ \textless \  4 \\ \\ 2x \ \textless \  4 \times 3 \\ \\ 2x \ \textless \  12 \\ \\ x \ \textless \   \frac{12}{2} \\ \\ x \ \textless \  6 \\ \\

The final result is: x < 6.
wolverine [178]3 years ago
3 0

Answer:

The answer is NO SOLUTION (Ø)

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Answer:

r=3.5\%

Step-by-step explanation:

we know that

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in this problem we have

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Carson is draining his swimming pool so he can clean it. The water level started at 12 feet and decreased 6 inches every hour. W
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  (c)  y=-1/2x+12

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The following box whisker plot shows the number of free throws made during basket ball practice. What percent of players made 13
andreev551 [17]

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The graphs show the amount of sugar in two kinds of juice.
gizmo_the_mogwai [7]

Answer:

Pat a) The unit rate of graph at left is 25\ \frac{grams}{cup}

Part b) The unit rate of graph at right is 40\ \frac{grams}{cup}

see the attached figure

Step-by-step explanation:

we know that

The unit rate of a linear equation is the same that the slope of the linear equation

step 1

Find the slope of the graph at left

This graph represent a proportional relationship (because the line passes through the origin)

The slope is equal to the constant of proportionality k

k=\frac{y}{x}

we have the point (1,25)

substitute the values in the formula

k=\frac{25}{1}=25\ \frac{grams}{cup}

step 2

Find the slope of the graph at right

we have the points (2,80) and (3,120)

This graph represent a proportional relationship (because the line passes through the origin)

The slope is equal to the constant of proportionality k

k=\frac{y}{x}

Is necessary only one point to determine the constant of proportionality

take the point (2,80)

substitute the values

k=\frac{80}{2}=40\ \frac{grams}{cup}

<u>Verify</u>

The formula to calculate the slope between two points is equal to

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we have the points (2,80) and (3,120)

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m=\frac{120-80}{3-2}

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