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Anika [276]
3 years ago
10

8n + 12 - 5n = 21 n=?

Mathematics
2 answers:
insens350 [35]3 years ago
5 0

Answer:

n=3

Step-by-step explanation:

Simplifying

8n + 12 + -5n = 21

Reorder the terms:

12 + 8n + -5n = 21

Combine like terms: 8n + -5n = 3n

12 + 3n = 21

Solving

12 + 3n = 21

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-12' to each side of the equation.

12 + -12 + 3n = 21 + -12

Combine like terms: 12 + -12 = 0

0 + 3n = 21 + -12

3n = 21 + -12

Combine like terms: 21 + -12 = 9

3n = 9

Divide each side by '3'.

n = 3

Simplifying

n = 3

Nastasia [14]3 years ago
4 0

Answer:

Step-by-step explanation:

hello :

8n + 12 - 5n = 21

8n + 12 - 5n-12 = 21 -12

3n =9

n = 9/3 = 3

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Determine the distance between the following two points. (round to the nearest hundredths)
padilas [110]

Answer:

d=7.07

Step-by-step explanation:

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>:

d=\sqrt{(3-(-2))^2+(-4-1)^2}

d=\sqrt{(3+2)^2+(-5)^2}

d=\sqrt{(5)^2+25}

d=\sqrt{25+25}

d=\sqrt{50}

d=5\sqrt{2}

d=7.07

5 0
2 years ago
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frosja888 [35]
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8 0
2 years ago
2. Sheldon was doing a science experiment about temperature. He first measured the
Burka [1]

Answer:

Temperature dropped by 28°C in two hours

Step-by-step explanation:

<u>Initial measurement:</u>

  • t = 17°C

<u>Measurement 2 hours later:</u>

  • t = - 11°C

<u>The difference:</u>

  • -11°C - 17°C = -28°C

Temperature dropped by 28°C in two hours

7 0
2 years ago
Will give brainliest <br> A ?<br> B?<br> C ?
dolphi86 [110]

Answer:

A: 180°         B: 360°         C: 540°

Step-by-step explanation:

A: The measures of interior angles of a triangle sum to 180°. Since figure ABC is a triangle, the interior angles of figure ABC sum to 180°.

B: We can see the quadrilateral ACDE is a trapezoid. If you can see, the trapezoid can be split into two triangles if you connect points C and E. As U mentioned before, the measures of interior angles of a triangle sum to 180°. Since we know figure ACDE can be split into <u>two triangles</u> we have to do: 180x2 which is 360°.

C: Now that we know the Pentagon ABCDE can be split into 3 triangles(1 from figure ABC and 2 from figure ACDE), we have to multiply 180 by 3 because like I mentioned before, the measures of interior angles of a triangle sum to 180°. So, 180x3=540°.

5 0
2 years ago
Read 2 more answers
1. MONDAY (5/18): Which of the following functions matches the graph to the right
Strike441 [17]

Answer:

a.) f(x) = -⅙(x+3)²+6

Step-by-step explanation:

The maximum value, our vertex, is at point (-3,6).

We can insert this value into the vertex form of a quadratic function and then solve for a as follows...

4.5 = a(0 +3)^2 +6\\4.5=a(9)+6\\-1.5 = 9a \\-.17=a\\a = -1/6

a equals -1/6... We can input this into the original equation we used...

f(x) = -1/6(x+3)^2+6

Good luck on the bellwork ;)

7 0
2 years ago
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