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sveticcg [70]
4 years ago
7

Solve the inequality -5(3m-2)>30

Mathematics
2 answers:
Julli [10]4 years ago
7 0

-5(3m-2)>30\qquad\text{use distributive property}\\\\(-5)(3m)+(-5)(-2)>30\\\\-15m+10>30\qquad\text{subtract 10 from both sides}\\\\-15m>20\qquad\text{change the signs}\\\\15m

Ne4ueva [31]4 years ago
4 0

Answer:

m <  −4/3


Step-by-step explanation:

−5(3m−2)>30


Simplify both sides of the inequality.


−15m+10>30


Subtract 10 from both sides.


−15m+10−10>30−10


−15m>20


Divide both sides by -15.


−15m/−15  >  20/−15


m<−4/3



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3 years ago
In the Pi Corporation, 4/5 of the managers are female. If there are 64 female managers, how many managers in total are there? Ho
oksano4ka [1.4K]

Step-by-step explanation:

\frac{4}{5}  = 64 \\  \frac{1}{5}  = 64 \div 4 \\ \:  \:  \:  \:  \:  \:   = 16 \\ total \: managers \:  = 16 \times 5 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 80 \\ number \: of \: male \:  \: managers \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{5}{5}  -  \frac{4}{5}  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{1}{5}  = 16

<em>hop</em><em>e</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>

5 0
3 years ago
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