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zavuch27 [327]
3 years ago
7

Solve for x

Mathematics
1 answer:
maw [93]3 years ago
6 0

Step-by-step explanation:

\tt{ \frac{x}{2}   -  \frac{x}{5}  = 2}

Take the L.C.M of 2 & 5. It's ' 10 '. Firstly find out the factors of 2 [ i.e 1 × 2 ] and then secondly find out the factors of 5 [ i.e 1 × 5 ]. Now , Note that while finding L.C.M of any numbers, Common numbers & Remaining numbers must be multiplied. In our case , common number = 1 & Remaining numbers are 2 & 5. Multiply them : [ 1 × 2 × 5 = 10 ].

⟶ \tt{ \frac{x \times 5 - x \times 2}{10}  = 2}

⟶ \tt{ \frac{5x - 2x}{10}  = 2}

Subtract 2x from 5x :

⟶ \tt{ \frac{3x}{10}  = 2}

Apply cross product property :

⟶ \tt{3x \times 1 = 2 \times 10}

⟶ \tt{3x = 20}

Here, We have to think about how to remove the coefficient 3. For that , Divide both sides of the equation by 3.

⟶ \tt{ \frac{3x}{3}  =  \frac{20}{3}}

⟶ \tt{x =6.67}

\pink {\boxed{ \boxed{ \tt{⇾ Our \: final \: answer :  \boxed{ \underline{ \tt{x =  \frac{20}{3}  \: or \: 6.67 }}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Please help with this word problem would be a huge help!!
Verdich [7]

Answer:

11.2 miles

Step-by-step explanation:

What has been describe here is a right triangle.

He went 10 miles east, and he turned left and went 5 miles.  He started at home ended at work.  We want to make a road from his home directly to his workplace (no turns; straight there).

So we have by Pythagorean Theorem:

5^2+10^2=c^2

25+100=c^2

125=c^2

Square root both sides:

\sqrt{125}=c

11.2 \approx c

11.2 miles would be the length of that direct path.

5 0
3 years ago
To successfully escape a planet's gravity, a space ship must achieve escape velocity, which for Earth is 11.2 km/s or 25,054 mil
melisa1 [442]

Answer:

9.33 Hours.

Step-by-step explanation:

The time in hours is given by the distance divided by velocity.

t=D/v

Now we are told that the velocity of the ship will be 25054 miles per hour, and the distance to the Moon is 233815 miles; therefore the time it will take the spacecraft to reach the moon will be:

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4 0
3 years ago
What’s 10-8+434+87+64
attashe74 [19]
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3 years ago
Read 2 more answers
14 over 15 rounded to the nearest tenth
NARA [144]

Answer:

0.9

Step-by-step explanation:

14/15 = 0.933333333  <u>IF:</u>

<u></u>

<u>1.</u><em> You first change it into a decimal by dividing the numerator by the denominator.</em>

<em>        </em>14 ÷ 15

<u>2.</u> <em>You will get a recurring decimal.</em>

<em>      </em>0.933333333

<u>3.</u><em> The first digit after the decimal is in the position of the '</em><u><em>tenths'</em></u>

      0.<u>9</u>

<u>4.</u><em> You should use only two digits after the decimal to calculate </em>

<em>       0.93</em>

<u>5.</u><em> Since the number 3 is less than five, it will change into a zero and get eliminated.</em>

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5 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Yakvenalex [24]

The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

<h3>What is Inequalities?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, Suppose number is x

1)  The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

Square of product of 5

(5x)²

Step 3

A number is not less than 46

(5x)² ≥ 46

2)  The sum of square of a number and five times that number is not more than 46

Step 1

Square of a number

x²

Step 2

Five times that number

5x

Step 3

The sum = x² + 5x

Step 4

Is not more than 46

x² + 5x ≤ 46

3)  The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

The product of 5

5x²

Step 3

Is greater than 46

5x² > 46

Thus, The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Learn more about Inequality from:

brainly.com/question/20383699

#SPJ1

3 0
1 year ago
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