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3 years ago

Solve for k. 2k - 6 > -10

Mathematics

2 answers:

Olegator [25]3 years ago

4 0

Answer:

k < -2

Step-by-step explanation:

too lazy to explain :/

olga nikolaevna [1]3 years ago

3 0

$\sf{}2k - 6 > -10$

$\\ \\$

$\dashrightarrow \sf{}2k > -10 + 6$

$\\ \\$

$\dashrightarrow \sf{}2k >-4$

$\\ \\$

$\dashrightarrow \sf{}k > \dfrac{-4}{2}$

$\\ \\$

$\dashrightarrow \sf{}k > \dfrac{-2 \times 2}{2}$

$\\ \\$

$\dashrightarrow \sf{}k > \dfrac{-\cancel2 \times 2}{\cancel2}$

$\\ \\$

$\dashrightarrow \sf{}k >-2$

$\\$

$\sf \therefore \{k =-1,0,1,2,3,4,5,6,7.............. \small \sf{}and \: so \: on \}$

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Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t

padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = $\frac{5}{8}x$

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Now we will use LCM to make the denominator common we get;

Number of Voters for green color = $\frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}$

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Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

$x=\frac58x+\frac{15x}{72}+48$

Combining like terms we get;

$x-\frac58x-\frac{15x}{72} = 48$

Now we will make denominators common using LCM we get;

$\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48$

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$\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48$

Now multiplying both side by 6 we get;

$\frac{1}{6}x\times6=48\times6\\\\x = 288$

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Hence There were 180 voters for blue color.

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