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2 years ago

Solve the inequality. -1/2a < 6

Mathematics

2 answers:

podryga [215]2 years ago

8 0

Answer:

$\frac{ - 1}{2} a < 6$

$a < 6 \div \frac{ - 1}{2}$

$a < 6 \times - 2$

$a < - 12$

rewona [7]2 years ago

5 0

Answer:

a > -12

Step-by-step explanation:

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leva [86]

Answer:

6p - 2

Step-by-step explanation:

The expression that needs to be made in this question refers to the total number of people that signed the petition. To calculate this we need to add the total number of signatures that both you and your friend were able to acquire. Once we do this we simply combine like terms in order to simplify the expression as much as possible.

4p + 5 + 2p - 3

4p + 2p + 5 - 3

6p - 2

Therefore, the total and simplified expression for the total number of signatures would be 6p - 2

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3 years ago

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Monica [59]

Answer:

Lest then 5/8

Step-by-step explanation:

Lest then 5/8

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2 years ago

Solve sin2x=-1/2 on the interval 0≤ angle≤360°

GREYUIT [131]

Answer:

x=135

Step-by-step explanation:

We know that sin(270) = -1/2

So 2x = 270

x = 135

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3 years ago

Y=(‑4)*cos(20+3*π/4)

Crazy boy [7]

Answer:

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3 years ago

Pumps a, b, and c operate at their respective constant rates. pumps a and b, operating simultaneously, can fill a certain tank i

MrMuchimi

Let a, b, and c be the times each pump will fill the tank when working alone.

Therefore, in 1 hour;

1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)

From equation (1)
1/a = 5/6-1/b

Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)

Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2

This means, in 1 hour and with all the pumps working together, the tank will be filled to;
1/a+1/b+1/c = 1/2+1/3+1/6 = 1 (filled fully).

Therefore, it will take 1 hour to fill the tank when all pumps are working together.

7 0

3 years ago

Solve the inequality. -1/2a < 6​

Solve the inequality. -1/2a < 6