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3 years ago

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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babymother [125]

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3 years ago

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GalinKa [24]

Answer:

5.6875 in

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

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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.
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Then, you can use Pythagorean theorem:

(r)² + (6)² = (r +2.75)²

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The solution is in inches: r = 5.6875 inches ← answer

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3 years ago

1-m ___ =2/3 HELP PLEASE 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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3 years ago

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Answer:

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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.

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3 years ago

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AURORKA [14]

Answer:

down v

Step-by-step explanation:

1=20 mph

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3 years ago

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

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