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4 years ago

Write an expressions that is equivalent to 6c-2/2 +2c+11 in simplest form

Mathematics

1 answer:

alisha [4.7K]4 years ago

3 0

Answer:

8c + 10

Step-by-step explanation:

Divide 2/2:

6c - 1 + 2c + 11

Then Collect Like Terms:

6c + 2c = 8c

-1 + 11 = 10

Final: 8c + 10

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Two trains leave two different stations 300 km apart; the first starts at noon and the second at 12 15 h. Travelling on parallel

alexgriva [62]

Answer:

See below

Step-by-step explanation:

From noon to 1500 is three hours

train A then travels 3x where x = speed in km/hr

train B only travels for 2.45 hours and covers

2.45 ( x + 15) where x + 15 is its speed in km/hr

these two values sum to the 300 km distance

3x + 2.45 ( x + 15) = 300

3x + 2.45 x + 36.75 = 300

x = 48.3 km/hr x+15= 63.3 km / hr

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2 years ago

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dimaraw [331]

Answer:

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Step-by-step explanation:

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3 years ago

[Supporting Standard: I can find the sum of an infinite series.]

Tanya [424]

Answer:

787.5 is the answer.

Step-by-step explanation:

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3 years ago

Which of the following is a perfect square trinomial?

shutvik [7]

Answer:

Step-by-step explanation:

Take a look at what happens when squaring either of these...

$(ax-by)^2=(ax-by)(ax-by)=a^2x^2-2abxy+b^2y^2\\\\(ax+by)^2=(ax+by)(ax+by)=a^2x^2+2abxy+b^2y^2\\$

Notice a couple of patterns.

1. The last term has a positive coefficient. That rules out answer choices C and D.

2. The coefficient of the middle term is either $+2ab \text{ or } -2ab$ . So what are a and b? a is the square root of the x^2 term and b is the square root of the y^2 term.

$25x^2 \Rightarrow a=5\\\\9y^2 \Rightarrow b=3\\\\ab=15\\\\2ab=30$

The middle coefficient needs to be either +30 or -30. The answer is choice A.

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3 years ago

One increased by 7 times a number is the same as 5 times the number plus 25

sammy [17]

Answer:

Step-by-step explanation:

Let the number = x

7x + 1 = 5x + 25 Subtract 5x from both sides.

7x - 5x + 1 = 5x - 5x + 25 Combine

2x + 1 = 25 Subtract 1 from both sides.

2x + 1 - 1 = 25-1 Combine

2x = 24 Divide by 2

2x/2 = 24/2

x = 12

4 0

3 years ago