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Anna [14]
3 years ago
12

Which number line represents the solution set for the inequality 3(8-4x) < 6(x-5) ?

Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

Second number line(from top to bottom).

Step-by-step explanation:

We are given the following inequality:

3(8 - 4x) < 6(x - 5)

It is solved similarly to an equality, so:

24 - 12x < 6x - 30

-18x < -54

Multiplying by -1, the signal changes from < to >. So

18x > 54

x > \frac{54}{18}

x > 3

Thus the correct answer is given by the second number line.

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solong [7]

Answer:

-46.9333333

Step-by-step explanation:

(−26−5×5)−(4)×(−2)+(−3)

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3 0
2 years ago
the hoover dam is 725 feet tall. how long would it take an object to fall from the top to the base of the dam? round the answer
Alinara [238K]

Answer:

45.05 seconds

Step-by-step explanation:

Use the formula: d = vi t + \frac{1}{2} at^{2}

d = distance      vi = initial velocity (m/s)    

t = time (s)     a = acceleration (m/s^{2})

m is meters and s is seconds. They are units of measurement so leave them be.

Assuming the object is simply dropped, the initial velocity is 0 since the object was not moving before it was dropped.

The distance is 725 feet, which is 220.98 meters.

The acceleration is 9.81m/s^{2} since that is the acceleration of Earth's gravity, aka free fall.

Time is what we are trying to find so just leave it as the variable t.

So plug the values into the equation:

220.98m = (0)(t) + \frac{1}{2} (9.81m/s^{2})(t)

220.98m = (4.905m/s^{2})(t)

45.0519877676s = t

t = 45.05s

Remember to pay attention to units because your answer will be wrong otherwise

7 0
2 years ago
What is the area of a rectangle with a length of 88 inches and width of 56 inches?
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Answer:

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Step-by-step explanation:

88 X 56 = 4928 in2

4 0
3 years ago
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S_A_V [24]
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Answer:

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Step-by-step explanation:

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