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maria [59]
3 years ago
9

Help me please How many solutions does the equation x -4 = 12 - 2x have? Explain. - ? .

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer: <em>one solution.</em>

Step-by-step explanation:

\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6

<em>This equation has one solution:  x = 6.</em>

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Two batches of soup will serve 8 people. Lonnie needs to make enough soup for 120 people. If the recipe calls for 2 onions for o
Inessa05 [86]
<span><em>"2 batches of soup will serve                            8 people."</em>
<u>Then x </u></span><span><u>batches of soup will serve                         120 people         
</u>120.2 = 8.x
x = 30 batches of soup will serve 120 people.

<em>"2 onions for                1 batch"</em>
<u>Then y onions for         30 batches                                                          
</u>30.2 = 1.y
y = 60 onions<u>




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5 0
3 years ago
Read 2 more answers
For every 15 students on a field trip, there needs to be one teacher. What is minimum number of teachers needed for a group of 1
jonny [76]

Answer:

7 teachers

Step-by-step explanation:

you decide 100 by 15 which equals 6.7 since you can't have half a teacher you round it to 7 teachers.

6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cleft%284%2B%5Csqrt%7B6%7D%5Cright%29%5Cleft%2810%2B%5Csqrt%7B6%7D%5Cright%29" id="TexFormul
Zepler [3.9K]

Answer:

46 + 14\sqrt6

Step-by-step explanation:

Hello!

Multiply by distributing:

  • (4 + \sqrt6)(10 + \sqrt 6)

  • 4(10 + \sqrt 6) + \sqrt6 (10 + \sqrt6)           Distribute 4 + √6

  • 40 + 4\sqrt6 + 10\sqrt6 + \sqrt {36               Multiply

  • 40 + 14\sqrt6 + 6\\                              Simplify

  • 46 + 14\sqrt6                                   Simplify

The final answer is 46 + 14√6

6 0
3 years ago
What should be done to these equations in order to solve a system of equations by elimination?
morpeh [17]

Answer

You can multiply the first equation by 4 and the second equation by 3.

You can multiply the first equation by 4/3.

You can multiply the first equation by 3.

Explanation

When solving a system of equations by elimination, you want to add or subtract the equations to "get rid" of a variable.

To do that, one of the variables in both equations have to have the same coefficient.

The first answer possible gives x the coefficient of 12 for both equations. You would get 12x+4y=52 and 12x-9y=39. You could subtract those equations to get 13y=13.

The second way gives x the coefficient of 4. You would multiply the first equation by 4/3 to get 4x+4/3y=52/3. You can subtract to get one variable, and then solve from there. Although, multiplying for 4/3 is annoying, so it's not suggested.

You can also "get rid" the the y. Multiply the first equation by 3 to get 9x+3y=39. You can add these equations. When you add 9x+3y=39 and 4x-3y=13 you get 13x=52.

7 0
3 years ago
Can some help me wit des two question?
Nikolay [14]

Answer: its D

Step-by-step explanation:

4 0
4 years ago
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