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mezya [45]
4 years ago
14

Simplify (6 + 5x) + (7x + 3)

Mathematics
1 answer:
sashaice [31]4 years ago
8 0
Combine Like Terms:<span>

=<span><span><span>6+<span>5x</span></span>+<span>7x</span></span>+3</span></span><span>

=<span><span>(<span><span>5x</span>+<span>7x</span></span>)</span>+<span>(<span>6+3</span>)</span></span></span><span>

=<span><span>12x</span>+<span>9


</span></span></span>
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Whats the GCF of 84 and 56?
kiruha [24]

Answer:

The Greatest Common Factor (GCF) for 56 and 84, notation CGF(56,84), is 28.

Step-by-step explanation:

The factors of 56 are 1,2,4,7,8,14,28,56;

The factors of 84 are 1,2,3,4,6,7,12,14,21,28,42,84.

So, as we can see, the Greatest Common Factor or Divisor is 28, because it is the greatest number that divides evenly into all of them.

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8 0
3 years ago
Item 7<br> Find the difference.<br> 3/4(3x+6)−1/4(5x−24) =
Rashid [163]

Answer:

The difference of the terms is  x +\frac{21}{2}

Step-by-step explanation:

Here, the given expression is \frac{3}{4} (3x+6)  - \frac{1}{4}(5x -24)

Solving the above terms,

\frac{3}{4} (3x) +\frac{3}{4} (6)  - \frac{1}{4}(5x) +\frac{1}{4}(24) = \frac{9x}{4}  + \frac{9}{2}  - \frac{5x}{4}   + 6

or, \frac{9x}{4}    - \frac{5x}{4}  + \frac{9}{2}  + 6  \\\frac{9x - 5x}{4}  + \frac{18 + 24}{4}  \\\frac{4x}{4}  +\frac{21}{2}

= x +\frac{21}{2}

So, the difference of the terms is  x +\frac{21}{2}

6 0
4 years ago
How is algebra advancing human knowledge and technological innovation?
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Many people believe that they can't do anything to protect their privacy online, but that's not true. There actually are simple steps to dramatically reduce online tracking.
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3 years ago
Sonya has a hat containing 50 equal-sized discs numbered 1 through 50. She will randomly select a disc, look at it, and return i
Xelga [282]

Answer:

The probability that both discs Sonya selects will have a number that is a multiple of 5 = \frac{1}{25}

Step-by-step explanation:

Total number of discs = 50

Multiples of 5 from 1 to 50 are: {5, 10, 15, 20, 25, 30, 35, 40, 45 and 50}

So, there are 10 multiples of 5 from 1 through 50. Probability is defined as the ratio of favorable outcomes to total number of outcomes. Here favorable outcome is selecting a a multiple of 5. So, the number of favorable outcomes is 10. Total number of outcomes is the total number of discs in the hat which is 50.

Therefore, the probability that Sonya selects a disc with multiple of 5 on it in her first attempt = \frac{10}{50}=\frac{1}{5}

After looking at this number, Sonya returns the disc back to the hat. Therefore, the total number of discs in the hat remains the same. So, the probability of picking a multiple of 5 again will be the same.

Therefore, the probability that Sonya selects a disc with multiple of 5 on it in her second attempt = \frac{10}{50}=\frac{1}{5}

Since, picking up the disc each time is independent of the other, the probability of occurrence of both the events will be equal to the product of their individual probabilities.

This means, the probability that both discs Sonya selects will have a number that is a multiple of 5 = \frac{1}{5} \times \frac{1}{5} = \frac{1}{25}

6 0
3 years ago
The area of the parallelogram below is ____ square meters.
guapka [62]

Answer:

48^2 meters

Step-by-step explanation:

The area of parallelogram is calculated by multiplying b×h (b: base, h: height)

the base given here is 6, and the height is = 8

therefore the area is

6×8 = 48^2 meters

3 0
3 years ago
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