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Svetach [21]
3 years ago
11

Solve: 4x - 2x + 6 = x + 12 A) x = 6 B) x = 2 C) no solution D) x = −6

Mathematics
2 answers:
Zanzabum3 years ago
8 0

Answer:

A) x = 6

Step-by-step explanation:

Step 1: Get all x terms to one side, and all constants to the other side

4x - 2x + 6 = x + 12

   4x - 2x - x + 6 - 6 = x - x + 12 - 6    (subtract 'x' and '6' from both sides)

    4x - 2x + x = 12 - 6                            (simplify)

     x = 6                           (combine like terms, 4x - 2x + x is 'x', 12 - 6 is '6')

Kitty [74]3 years ago
7 0

Answer:

A) x = 6

Step-by-step explanation:

4x - 2x + 6 = x + 12

Combine like terms

2x +6 = x+12

Subtract 6 from each side

2x+6-6 = x+12-6

2x = x+6

subtract x

2x-x = x+6-x

x = 6

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Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
nlexa [21]

Answer:

190 ft^2

Step-by-step explanation:

So first we need to find which equation we're using and since it's a rectangular prism we're going to use:

2Lw + 2wh + 2Lh

Now what we need to do is plug in the values

2*9*2 + 2*2*7 + 2*9*7

Now just multiply everything and then add it together.

36 + 28 + 126

Once you add everything together you get:

190

The question says to include the correct unit. It says that its feet, but we need to know if its feet squared (^2) or cubed (^3)

If it were area of the whole object, it would be cubed because it is all the area that the object takes up but since it's just the area of the surface it's going to be squared. Therefore, the answer is:

190 ft^2

4 0
3 years ago
Jessica bought 2 slices of pizza and a soda for $6.25. Alfredo bought 3 slices of pizza and a soda
Ira Lisetskai [31]

Answer:

A) 2.50

Step-by-step explanation:

subtract 8.75 and 6.25 to get the cost of 1 pizza slice since Alfredo bought 1 more pizza than Jessica.

4 0
3 years ago
Read 2 more answers
the odds in favor of frank mckinnis winning a hot dog eating contest are 2:9the odds in favor of frank mckinnis winning a hot do
Ivahew [28]

Answer:

Consider the complete question is,

'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,

  • Determine the probability that Frank will win the contest,
  • Determine the probability that Frank will not win the contest'

Solution :

We know that,

Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

We have,

\frac{\text{Number of ways of winning the contest}}{\text{Number of ways of not wining the contest}}=\frac{2}{9}

So, total outcomes = 2 + 9 = 11,

\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Thus, the probability that Frank will win the contest = \frac{2}{11}

And,

The probability that Frank will win the contest = \frac{9}{11}

5 0
3 years ago
Read 2 more answers
The ratio of teachers to students on a field trip to New York City is 2 to 9. If there are 243 students on the trip,
Veseljchak [2.6K]

Answer:

54 teachers

Step-by-step explanation:

Step one:

given data

The ratio of teachers to students on a field trip to New York City is 2 to 9.

That is the ratio is 2:9

We are told that there are 243 students

Required

We want to find the number of teachers

Step two:

Applying the part to part method we have

let the number of teachers be x

2/9= x/243

cross multiply we have

9x= 243*2

9x= 486

divide both sides by 9

x= 54

Hence there are 54 teachers

4 0
3 years ago
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lapo4ka [179]

True

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A closed circuit basically means everything is connected by wires and for this setup every device receives electricity making this true

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