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Charra [1.4K]
2 years ago
10

If 7 is subtracted from half of a number, the result is 14. Find the number.

Mathematics
2 answers:
serious [3.7K]2 years ago
7 0

Hey there! :-)

Let the unknown number be s.

"half of a number" means we divide s by 2.

We write it like so:

\frac{s}{2}

Now, the problem says that we subtract 7:

\frac{s}{2} -7=14

  • s/2-7=14
  • s/2=14+7
  • s/2=21
  • Multiply both sides by 2:
  • s=42

Therefore, the number is 42. Hope this helps! :)

Use the comment section to clarify your doubts.

Answered by

~A felicitous teen who helps others with a smile

Good luck. :-)

Allushta [10]2 years ago
3 0
  • If 7 is subtracted from half of a number, the result is 14.
  • Let the number be x.
  • Therefore, by the problem
  • \frac{x}{2}  - 7 = 14 \\  =  >  \frac{x}{2}  = 14 + 7 \\  =  >  \frac{x}{2}  = 21 \\  =  > x = 21 \times 2 \\  =  > x = 42

<u>Answer:</u>

<u>The </u><u>number </u><u>is </u><u>4</u><u>2</u><u>.</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

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Tonys bill at the restaurant was $9.52. If he wants to leave a 20% tip, how much is that?
postnew [5]

Answer:

11.42 dollars

Step-by-step explanation: since you are adding a percentage turn 20% into a decimal. if you do this you will get .2. Next, multiple .2 by 9.52 and you will get 20% of 9.52. Now add this value to 9.52 and you will get 11.42 dollars.

6 0
3 years ago
Pleaseeeee helpppppp!!
Sergio [31]

Answer:  The equation of the circle as specified is (x+5)² + (y -1)² = 25

Step-by-step explanation:  Use the Pythagorean Theorem to calculate the length of the radius from the coordinates given for the triangle location: A(-1,4), B(-1,1) and C(-5,1)  

subtract y-values of A & B 4-1=3 AB = 3

subtract x-values of B &C -5-(-1) =4 BC=4  3² + 4² = 9 + 16 = 25  

√25 = 5   AC = 5  That is the radiuus of the circle.    

The sides of the triangle are AB=3, BC=4, AC=5.

Use the equation for a circle:

( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

Use the coordinates of C, (-5, 1) as h and k in the equation

Substituting those values, we have (x -[-5])² + (y -[1])² = 5²

Simplify:  (x+5)² + (y -1)² = 25

A graph of the circle is attached. The radius is AC, between the center C (-5,1) and A( -1,4) on the circumference.  (Sorry, I still need to learn how to create line segments!)

8 0
3 years ago
A right triangle has a leg of 11 cm and a hypotenuse of 17 cm.
Vedmedyk [2.9K]
The answer would be the second option, 13.0 cm.

To find the missing length of the leg, you would use the pythagorean theorem and substitute your inputs in.

a^2+b^2=c^2
11^2+b^2=17^2
121+b^2=289
b^2=168
b=12.96 
b=13.0 cm (rounded up)
4 0
3 years ago
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12 POINTS<br>Simplify i38. <br> i <br> −1 <br> −i <br> 1
Karolina [17]
Are you sure you've copied down the original problem exactly as given?  i38 = 38i can't be simplified.  Perhaps you meant i^38, which is a different matter.

Note that i^38 = i^32 * I^4 * I^2.

Note that i^0, i^4, i^8, etc., all equal 1.  Therefore,

i^38 = (1)(1)i^2 = 1*(-1) = -1 (answer)
3 0
3 years ago
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7 x 3/4 in simplest form
Katarina [22]
The answer is <span>7 x 3/4 in simplest form = 21/4</span>
5 0
3 years ago
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