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Margaret [11]
3 years ago
13

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

-3x-6 < -33  and -3x-6 \geq -6

Step-by-step explanation:

we have

-33 > -3x-6 \geq -6

we know that

Compound inequality can be divided into two inequalities

so

-33 > -3x-6

rewrite

-3x-6 < -33

and

-3x-6 \geq -6

therefore

An equivalent form of the compound inequality is

-3x-6 < -33  and -3x-6 \geq -6

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8 0
3 years ago
Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides
saul85 [17]

Answer:  Team A will choose one of 36 possible lineups.

Step-by-step explanation:  Given that Team A and Team B are playing the game of tug-of-war.

Team A has 3 males and 3 females that decides to line up  male, female, male, female, male, female.

We are to find the number of possible lineups that Team A can make.

According to the given information,

number of options for the first position = 3,

number of options for the second position = 3,

number of options for the third position = 2,

number of options for the fourth position = 2,

number of options for the fifth position = 1

and

number of options for the sixth position = 1.

Therefore, the number of possible lineups by Team A is

n=3\times3\times2\times2\times1\times1=36.

Thus, Team A will choose one of 36 possible lineups.

4 0
3 years ago
The lateral area of a cone is 555 \pi cm^2 and the radius is 15.1 what is the slant height?
pishuonlain [190]
We know that
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
LA=555*pi cm²
l=(555*pi)/(pi*15.1)----> l=36.75 cm

the answer is
the slant height is 36.75 cm
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Answer:

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Step-by-step explanation:

8 0
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