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ch4aika [34]
2 years ago
9

6>w/-2 solve the inequalities

Mathematics
2 answers:
Vitek1552 [10]2 years ago
7 0

Answer:

w>-12

Step-by-step explanation:

6>w/-2 (Given)

6>-w/2 (Rewrite)

12>-w (Multiply both sides by 2)

-12<w (Remember to flip the sign when dividing or mulitplying by a negative)

w>-12 (Rewrite with w in front)

Therefore, w>-12 is the solution to the inequality.

White raven [17]2 years ago
7 0

Answer:

w>-12

Step-by-step explanation:

First, you you need to get rid of the -2 in w/-2 by multiplying -2 by both sides like this.

(-2)6>w/-2(-2)

Then you simplify it like this:

-12>w

However, since you multiplied/divided with a negative, you switch the inequality sign like this:

w>-12

And that's the answer!

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<span>Third value = 30th percentile.</span>
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A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. H
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Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

<u> (small) </u>     <u> 10 cups </u>   =  <u> 100% </u>

(medium)    x cups     =   130%

Now, cross multiply:

10 (130) = x (100)

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Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

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Now you have 30% of the 10 cups, but you need <u>30% more</u><em> </em>than the small box, so:

10 + 3 = 13 cups

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it is given that the x intercept and y intercept of a straight line L are 3 and 5 respectively. If L passes through P(k, 10) fin
statuscvo [17]

Answer:

<em>k=-3</em>

Step-by-step explanation:

<u>Equation of a line</u>

The general equation of a line can be written as:

Ax+By=C

The x-intercept is the point where the line crosses the x-axis, i.e. y=0, thus replacing x=3 and y=0:

A(3)+B(0)=C

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Solving for A:

A=C/3

The y-intercept is the point where the line crosses the y-axis, i.e. x=0, thus replacing x=0 and y=5:

A(0)+B(5)=C

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Solving for B:

B=C/5

Replacing into the general equation:

\displaystyle \frac{C}{3}x+\frac{C}{5}y=C

Simplifying by C:

\displaystyle \frac{x}{3}+\frac{y}{5}=1

The point P(k,10) belongs to the line, thus:

\displaystyle \frac{k}{3}+\frac{10}{5}=1

Operating:

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Multiplying by 3:

\boxed{k=-3}

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