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Illusion [34]
3 years ago
13

2/3x+14-3x>-7

Mathematics
2 answers:
Ray Of Light [21]3 years ago
6 0

Answer:

\large\boxed{x

Step-by-step explanation:

\dfrac{2}{3}x+14-3x>-7\qquad\text{subtract 14 from both sides}\\\\\dfrac{2}{3}x+14-14-3x>-7-14\\\\\dfrac{2}{3}x-3x>-21\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-(3)(3x)>(3)(-21)\\\\2x-9x>-63\\\\-7x>-63\qquad\text{change the signs}\\\\7x

vazorg [7]3 years ago
3 0

Answer:

x < 9

Step-by-step explanation:

\frac{2}{3} x+14-3x>-7

First, write 3 as a fraction:

\frac{2}{3} x+14-\frac{3}{1}x>-7

The common denominator is 3, so:

\frac{2}{3} x+14-\frac{9}{3}x>-7

Combine the fractions:

\frac{2-9}{3} x+14>-7\\-\frac{7}{3} x+14>-7

Subtract 14 from both sides:

-\frac{7}{3} x>-21

Multiply both sides by 3:

-7x>-63

Divide both sides by -7 (don't forget to flip the sign when multiplying or dividing by a negative number):

x

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2 years ago
In February, Campus Cycle Repair had income from sales of $16,000. Expenses for the month included: rent, $1,250; utilities, $45
djyliett [7]

Answer:

Profit $5700

Step-by-step explanation:

To find loss/profit you subtract the expenses from the total income

Income from sales= $16000

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Wages=$4800

insurance=$300

supplies=$2700

Total expenses

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5 0
3 years ago
Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).
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Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

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