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4 years ago

What is x 2(2x+3)-2=5

Mathematics

1 answer:

Scilla [17]4 years ago

6 0

Answer:

x = 0.25 or $\frac{1}{4}$

Step-by-step explanation:

2(2x + 3) - 2 = 5 (Given)

2 · 2x + 2 · 3 - 2 = 5 (Distributive Property of Equality)

4x + 6 - 2 = 5 (Simplify)

4x + 4 = 5 (Simplify)

4x + 4 - 4 = 5 - 4 (Subtraction Property of Equality)

4x = 1 (Simplify)

$\frac{4x}{4} = \frac{1}{4}$ (Division Property of Equality)

x = 0.25 or $\frac{1}{4}$ (Simplify)

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If rahul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream.

gladu [14]

The upstream speed is 4 km/hour and the down stream speed is 6 km/hour

<h3>Calculating Speed </h3>

From the question, we are to calculate the speed of each stream

From the given information,

"<em>Rahul rows 16 km upstream and 24 km down stream taking 4 hours each</em>"

For the Upstream,

Distance = 16 km

Time = 4 hours

Using the formula,

Speed = Distance/ Time

Speed = 16 km / 4 hours

Speed = 4 km/hour

For the Down stream,

Distance = 24 km

Time = 4 hours

Thus,

Speed = 24 km / 4 hours

Speed = 6 km/hour

Hence, the upstream speed is 4 km/hour and the down stream speed is 6 km/hour

Learn more on Calculating Speed here: brainly.com/question/24571540

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6 0

2 years ago

Can someone please help me on this problem

Dafna1 [17]

Answer:

Step-by-step explanation:

Perimeter is all sides added together.

l is length, w is width, and P is perimeter.

$2l + 2w = P\\2(5x) + 2(x - 3) = 42\\10x + 2x - 6 = 42\\12x - 6 = 42\\12x = 48\\x = 4$

5 0

4 years ago

Read 2 more answers

Felix and Oscar are standing on a tower that is 112 feet high. Felix drops his penny while Oscar throws his penny down and it hi

creativ13 [48]

Answer:

It will take<u> 2.64 s</u> for Felix's penny to hit the ground.

Initial velocity of Oscar's penny is <u>7.27 m/s or 23.85 ft/s</u>

Step-by-step explanation:

Given:

Height of the tower is, $h=112\ ft$

Felix drops the penny while Oscar throws his penny.

Time taken by Oscar's penny to reach ground is, $t_o=2\ s$

Now, as Oscar throws his penny, there will be some initial velocity of his penny. Let the initial velocity of his penny be $u_o$ .

As the penny is falling vertically, acceleration of the penny is due to gravity and is equal to -9.8 m/s².

Now, displacement of the penny is equal to the height of the tower = -112 ft = -34.14 m (1 ft = 0.3048 m)

Using equation of motion,

$y=u_ot+\frac{1}{2}at_o^2\\\\-34.14=2u_o-\frac{1}{2}\times9.8\times 2^2\\\\-34.14=2u_o-19.6\\\\2u_o=-34.14+19.6\\\\2u_o=-14.54\\\\u_o=\frac{-14.54}{2}=-7.27\ m/s$

Now, 1 m/s = 3.28 ft/s

So, 7.27 m/s = $7.27\times 3.28 = 23.85\ ft/s$

Therefore, the initial velocity of Oscar's penny is 7.27 m/s or 23.85 ft/s in the downward direction.

Now, Felix drops the penny. So, initial velocity of Felix's penny is 0 m/s.

Displacement of the penny is same and equal to -112 ft = -34.14 m

Using the same equation of motion,

$y=ut+\frac{1}{2}at^2\\\\-34.14=0-\frac{1}{2}\times9.8\times t^2\\\\-34.14=-4.9t^2\\\\t^2=\frac{-34.14}{-4.9}\\\\t=\sqrt{\frac{-34.14}{-4.9}}\\\\ t=2.64\ s$

Therefore, time taken by Felix's penny to reach ground is 2.64 s.

8 0

4 years ago

Please help me guys : please please.You put a yam in the oven after 45 minutes you take it out let f (t ) be the temperature of

Westkost [7]

A]. f(0)=65 means that when you placed the yam in oven the yams temp was 65 degrees Fahrenheit

B]. f(5) > f(60) meaning the temp of the yam 5 minutes after put in the oven was less than its temperature 60 min after put in the oven

✅✅✅ make sure you have part B written correctly though

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3 years ago

How can you use the transformation to prove two triangles are congruent

Alla [95]

You could use a translation to move one to the same position as the other and compare if they have the same orientation (like both are pointing up).
If not, you could use rotation to do so, then use translation. Sometimes even reflections might work, but that's a bit more complex.

6 0

3 years ago