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adelina 88 [10]
3 years ago
14

Three times the sum of a number and 4 is the same as 18 more than the number. what is the number​

Mathematics
1 answer:
____ [38]3 years ago
7 0

Answer:

three times the sum of a number and 4, if n were to represent the unknown number, is:

3(n + 4)

18 more than a number is:

n + 18

If these two are the same, then they are equal to each other, then:

3(n + 4) = n + 18

*Do the distributive property on the left*

3n + 12 = n + 18

*Combine like terms*

2n = 6

*Divide both sides by 2*

n = 3

The number is 3.

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To simplify a fraction, divide numerator and denominator by
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5/20  =  1 / 4
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3 years ago
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Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

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Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
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The solution is in inches: r = 5.6875 inches ← answer

4 0
3 years ago
1-m<br> ___ =2/3 HELP PLEASE<br> 1+m
marusya05 [52]

Domain:\\\\1+m\neq0\to m\neq-1\\\\\dfrac{1-m}{1+m}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\3(1-m)=2(1+m)\qquad\text{use distributive property}\\\\(3)(1)+(3)(-m)=(2)(1)+(2)(m)\\\\3-3m=2+2m\qquad\text{subtract 3 from both sides}\\\\-3m=-1+2m\qquad\text{subtract 2m from both sides}\\\\-5m=-1\qquad\text{divide both sides by (-5)}\\\\m=\dfrac{1}{5}\neq-1\\\\Answer:\ \boxed{m=\dfrac{1}{5}}

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ira [324]

9514 1404 393

Answer:

  We are absolutely certain that the event will occur

Step-by-step explanation:

An event with probability 1 is certain to occur. There is no chance it will not occur.

We are absolutely certain that the event will occur.

6 0
3 years ago
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AURORKA [14]

Answer:

down v

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