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stira [4]
3 years ago
10

Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
3 0

Answer:

  • 3x + 6 = 12; Distributive Property

Step-by-step explanation:

  • 3(x + 2) = 12

<u>The next step is:</u>

  • 3*x + 3*2 = 12
  • 3x + 6 = 12

This is a distributive property

Correct choice is A

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Evgen [1.6K]

\dfrac{2}{n-1}=\dfrac{3}{n}-0.1\\2n=3(n-1)-0.1n(n-1)\\2n=3n-3-0.1n^2+0.1n\\0.1n^2-1.1n+3=0\\n^2-11n+30=0\\n^2-5n-6n+30=0\\n(n-5)-6(n-5)=0\\(n-6)(n-5)=0\\n=6 \vee n=5

6 0
2 years ago
the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers
PSYCHO15rus [73]

Answer: x= -189, y =252

Step-by-step explanation:

Let the first number be x and second number be y

so

x + y = 63

x = 63-y

now

1/9 of x + 1/6 of y = 21

x/9 + y/6 = 21

substituting x's value from equation i

(63-y)/9 + y/6 = 21

(378-6y+9y)/54 = 21

378+3y = 1134

3y = 1134-378

so, 3y = 756

so, y = 756/3

so, y = 252

now

x = 63-252

so, x = -189

6 0
3 years ago
A cell phone company surveyed 200 random customers on whether they were satisfied with their phone service.They also noted which
olya-2409 [2.1K]

Answer:

Plan A:

Satisfied: 52%

Not satisfied: 4%

Total: 56%

Plan B:

Satisfied: 32%

Not satisfied: 12%

Total: 44%

Total:

Total satisfied: 84%

Total not satisfied: 16%

Total: 100%

Hope this helps!

3 0
3 years ago
Read 2 more answers
How do you use the associative property to write an expression equivalent to (w+9)+3
m_a_m_a [10]

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

<u>Solution:</u>

Given that, expression is ( w + 9 ) + 3

We have to find how do we can use the associative property to write an expression equivalent to ( w + 9 ) + 3

The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

(a + b) + c = a + (b + c)

So, now let us apply the above property to the given expression,

Then, ( w + 9 ) + 3 = w + ( 9 + 3 ) = w + 12

Hence, the equivalent expression for the given expression is w + 12

5 0
3 years ago
50 POINTS
Shkiper50 [21]

Answer:

B) no solution

Step-by-step explanation:

this can be solved by substitution method

y= ⅔x + 4. (equation 1)

and 2x-3y= 3. (equation 2)

substitute for y into equation 2

2x-3(2/3x + 4) = 3

2x - 2x -12=3

0=15

this is a no solution equation

7 0
3 years ago
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