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Butoxors [25]
3 years ago
9

What is the solution to this equation? 5x + 15 + 2x = 24 + 4x

Mathematics
2 answers:
pentagon [3]3 years ago
6 0

5

x

+

15

+

2

x

=

24

+

4

x

Add

5

x

and

2

x

.

7

x

+

15

=

24

+

4

x

Move all terms containing

x

to the left side of the equation.

3

x

+

15

=

24

Move all terms not containing

x

to the right side of the equation.

3

x

=

9

Divide each term by

3

and simplify.

x

=

3

Firdavs [7]3 years ago
4 0

To solve this equation, we must get all of the variables to one side of the equation and all of the constants (numbers) to the other side of the equation. To begin, however, we must add together the two terms on the left side of the equation that both have variables.

5x + 15 + 2x = 24 + 4x

7x + 15 = 24 + 4x

Next, we should subtract 4x from both sides of the equation so that the 4x on the right side cancels out and all of the variable terms are now on the left side.

3x + 15 = 24

Similarly, we also want to subtract 15 from both sides of the equation so that all of the constants are on the right side of the equation and we can get the variable alone on the left side.

3x = 9

Finally, we should divide both sides of the equation by 3 so that we can get rid of the coefficient of 3 on the variable x and get our answer.

x = 3

Therefore, your answer is x = 3.

Hope this helps!

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Andrew [12]

Step-by-step explanation:

On Monday maggie ran n miles.

On Tuesday, she she ran 90% of the number of miles that she ran on Monday i.e \dfrac{90}{100}\times n=0.9n.

On Wednesday, she ran 50% of the number of miles that she ran on Tuesday i.e. \dfrac{50}{100}\times 0.9n=0.45n

First expression : n+0.9n = 1.9 n

Second expression : n + 0.9 n + 0.45 n = 2.35 n

Hence, this is the required solution.

3 0
3 years ago
What Is 5 1/2 - 2 5/6? Explain Your Answer
natulia [17]

Answer:

2 2/3

Step-by-step explanation:

Make them into improper fractions first.

11/2 - 17-6

Then multiply 11/2 so that they have common denominators.

33/6 - 17/6

Then solve.

33/6 - 17/6 = 16/6

Then convert back into a mixed number.

2 4/6 or 2 2/3

5 0
3 years ago
Find me equation of the circle with Center at ( 3, - 2) and radius of 3
blondinia [14]

The equation of a circle with center (x_0,y_0) and radius r is

(x-x_0)^2+(y-y_0)^2=r^2

In your case,

x_0=3,\quad y_0=-2,\quad r=3

Plug these values into the generic formula and you'll get your equation.

5 0
3 years ago
Geometry. Unit 1. Lesson 5. (5.2: Make it Right) Use GeoGebra
Nata [24]

Answer:nnjjj

Step-by-step explanation:

4 0
3 years ago
Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?
Aleksandr-060686 [28]

<u>Answer</u>

5 and -4


<u>Explanation</u>

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5                             or    x - 1/2 = - 4.5

x = 4 1/2 + 1/2                                      x = -4 1/2 + 1/2

   = 5                                                      = -4

The values of x are 5 and -4.



8 0
3 years ago
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