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Dmitry [639]
3 years ago
5

Solve for x

3(x + 1) = 5(x - 2) + 7" alt="3(x + 1) = 5(x - 2) + 7" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Paul [167]3 years ago
4 0

3(x + 1) = 5(x - 2) + 7

  • Distribute 3 and 5 inside their respective parentheses.

3x + 3 = 5x - 10 + 7

  • Combine like terms.

3x + 3 = 5x - 3

  • Add 3 to both sides.

3x + 6 = 5x

  • Subtract 3x from both sides.

6 = 2x

  • Divide both sides by 2.
<h3>x = 3</h3>
patriot [66]3 years ago
3 0

3(x+1)=5(x-2)+7\\\\&#10;3x+3=5x-10+7\\\\&#10;2x=6\\\\&#10;x=3

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Basile [38]
Converse (switch p and q)
If an angle is obtuse, then it measures 128°

This is false (a 127° angle is obtuse, but it does not measure 128°)

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Inverse
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If an angle does not measure 128°, then it is not obtuse

This is false (a 127° angle does not measure 128°, but it is obtuse)

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Contrapositive (negations of p and q, then switch their places)

If an angle is not obtuse, it does not measure 128°

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5 0
3 years ago
An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

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3 0
2 years ago
To qualify for the championship a runner must complete the race in less than 55 minutes ....... Use "t" to represent the time in
Svet_ta [14]

The inequality is t < 55

<em><u>Solution</u></em><em><u>:</u></em>

Given that, To qualify for the championship a runner must complete the race in less than 55 minutes

Let "t" represent the time in minutes of a runner who qualifies for the championship

Here it is given that the value of t is less than 55 minutes

Therefore, "t" must be less than 55, so that the runner qualifies the championship

<em><u>This is represented by inequality:</u></em>

t

The above inequality means, that time taken to complete the race must be less than 55 for a runner to qualify

Hence the required inequality is t < 55

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nikdorinn [45]

Answer: 5y + 2x - 3

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2 years ago
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