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katovenus [111]
3 years ago
15

Which situation is represented by the equation 6n+5=3n+20

Mathematics
1 answer:
balandron [24]3 years ago
7 0

Answer:

a linear equation

Step-by-step explanation:

6n+5=3n+20

<u>collect like terms</u><u>:</u>

6n-3n=20-5

3n=15

<em><u>divide both sides with the coefficient of n</u></em>

3n÷3=15÷3

n=5

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Mr.N just bought a new car, and her asks 3 of his students to try to guess the color. Here's what they thought:
Ksivusya [100]
Idk. ima go with blue, but dont count on it
8 0
3 years ago
The table represents the relationship between a length measured in meters and the same length measured in kilometers.
Bess [88]

Answer:

Q1 1000     1

    3500    3.5

   500       .5

   75   .075

   1        .001

   x       1/1000x or .001x        Q2    Y=  1/1000x

Step-by-step explanation:

just search up 1000 meters to 1 kilometer and go from there :)  

4 0
3 years ago
Triangle A C D is shown. A line is drawn from point D to point B on side A C to form a right angle. Line A D is labeled s. The l
devlian [24]

Answer:

s = 17units

Step-by-step explanation:

For this problem, we are trying to find a specific unknown side length.

We're actually given some extraneous information (information that is not needed to solve the problem):  <em>It isn't necessary to know that BC is 5.</em>

If the side AD with the unknown length is part of a right triangle (the triangle in red in the attached diagram), we can use the Pythagorean Theorem to solve for AD.

It isn't clear if the diagram you were provided gives ∠ABD as a right angle,  if it only gives ∠CBD as a right angle, or if it gives both as a right angle.  Below, we prove that it doesn't matter, because regardless, both must be right angles.

<u>Is Triangle ABD a "right triangle"?</u>

Since B is between A and C, then the two angles ∠ABD & ∠CBD form a linear pair, and by the linear pair postulate are supplementary.  Since they are supplementary, their measures add to 180°.  Using the fact that all right angles are 90°, substitution, the subtraction property of equality, arithmetic, the measure of ∠ABD is also 90°, and thus must be a right angle.  Thus, based on the given information, both ∠ABD & ∠CBD must be right angles.

Consequently, triangle ABD is a right triangle, by definition (it is a triangle that has a right angle).

<u>Pythagorean Theorem</u>

Since triangle ABD is a right triangle, the Pythagorean Theorem can be applied.

The Pythagorean Theorem states that a^{2} +b^{2} =c^{2} where "c" is the hypotenuse (the side across from the right angle) and "a" and "b" the the lengths of the two other sides (called legs) of the right triangle.  (<em>Aside: Because of the commutative property of addition, it doesn't matter which of the two legs' lengths is used for a, and which is used for b.  The only thing that is required is that "c" be the length of the hypotenuse</em>)

In our triangle, side AD, with unknown length "s" is the length of our hypotenuse, and sides AB and BD are the two legs.  Substituting values into the Pythagorean Theorem equation, we can solve for the unknown "s":

a^{2} +b^{2} =c^{2}

(8)^{2} +(15)^{2} =(s)^{2}

64 +225 =s^{2}

289 =s^{2}

Applying the square root property...

\pm \sqrt{289} =\sqrt{s^{2}}

s=17 \text{ or } s=-17

<u>Final Solution</u>

We discard the negative solution we obtained, since s represents the length of the side of a triangle.

s = 17units

7 0
2 years ago
A line passes through (2,−7) and (−3,3) . find the slope-intercept form of the equation of the line. then fill in the value of t
ad-work [718]
Slope/m=3-(-7)/-3-2=10/-5=-2
slope/m=-2
y=-2x+b
b=         3=-2*-3+b
               b=-3
8 0
3 years ago
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.​
Sholpan [36]
<h3><u>Question</u><u>:</u></h3>

Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.

<h3><u>Solution</u><u>:</u></h3>
  • Let the age of Tiffany be x years.
  • Then, the age of Emily = 4x years.
  • After 10 years, the age of Tiffany will be (x+10) years.
  • After 10 years, the age of Emily will be (4x+10) years.
  • Therefore, by the problem

4x + 10 = 2(x + 10) \\  = 4x + 10 = 2x + 20 \\   = > 4x - 2x = 20 - 10 \\  =  > 2x = 10 \\  =  > x =  \frac{10}{2}  \\  =  > x = 5

  • So, Tiffany's present age = 5 years.
  • Emily's present age = (4×5) years = 20 years.
<h3><u>Answer:</u></h3>

Emily's age is 20 years and Tiffany's age is 5 years.

Hope it helps!

7 0
2 years ago
Read 2 more answers
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