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anyanavicka [17]
2 years ago
12

Write an equivalent expression to 2x + 3 + 5(x+ 6) by combining like terms

Mathematics
1 answer:
cestrela7 [59]2 years ago
8 0

Answer:

7x + 33

Step-by-step explanation:

Distribute the multiplication in the last term:  5(x + 6) becomes 5x + 30.  Then,  2x + 3 + 5(x+ 6) becomes 2x + 3 + 5x + 30.  2x and 5x are 'like terms' and add up to 7x; 3 and 30 are also like terms of a different type (constants) and add up to 33.  

Thus we have the equivalent, simpler expression 7x + 33.

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Can someone please help me with this? Thank youuu!
Lunna [17]

Answer:

1996

Step-by-step explanation:

To find the number of terms in an arithmetic sequence, divide the common difference into the difference between the last and first terms, and then add 1.

2008 - 13 = 1995 + 1 = 1996

3 0
2 years ago
I Need HELP!<br><br>how do you figure out 22/7=5/X
Oksana_A [137]
\frac{22 }{7}= \frac{5}{x} \\ \\ x\neq 0 \\ \\ 22x=7*5\\ \\22x=35 \ \ /:22 \\ \\x=\frac{35}{22}\\ \\x=1\frac{23}{25}
5 0
3 years ago
What is the y-intercept of the line?<br><br> x 16 24 32<br> y 44 64 84
Shtirlitz [24]

Answer:

The y-intercept of the line is 2

Step-by-step explanation:

You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax

But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.

(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?

Just extrapolate the table to the left, and you will find the y value where x = 0

x 0 8 16 24 32

y 2 22 44 64 84

So the y-intercept of the line is 2.

Extra:

The full equation of the line is:

y = 8/20x + 2

3 0
3 years ago
Read 2 more answers
Given a standard deck of 52 cards, 3 cards are dealt without replacement. Using this situation, answer the questions below.&lt;b
kherson [118]
Given that <span>3 cards are dealt without replacement in a </span><span>standard deck of 52 cards.

Part A:

There are 4 queens in a standard deck of 52 card, thus the probability that the first card is a queen is given by 4 / 52 = 1 / 13.

Since, the first card is not replaced, thus there are 3 queens remaining and 51 ards remaining in total, thus the probability that the second card is a queen is given</span> by 3 / 51 = 1 / 17

Similarly the probability that the third card is a queen is given by 2 / 50 = 1 / 25.

Therefore, the probability that <span>all three cards are queens is given by

\frac{1}{13} \times \frac{1}{17} \times \frac{1}{25} = \frac{1}{5525}



Part B:

Yes the probability of drawing a queen of heart is independent of the probability of drawing a queen of diamonds because they are separate cards and drawing one of the cards does not in any way affect the chance of drawing the other card.



Part C:

Given that the first card is a queen, then there are 3 queens remaining out of 51 cards remaining, thus the number of cards that are not queen is 51 - 3 = 48 cards.

Therefore, </span>if the first card is a queen, the probability that the second card will not be a queen is given by 48 / 51 = 16 / 17



Part D:

<span>Given that the first two card are queens, then there are 2 queens remaining out of 50 cards remaining.

Therefore, </span>if two of the three cards are queens ,<span>the probability that you will be dealt three queens</span> is given by 2 / 50 = 1 / 25 = 0.04



Part E:

<span>Given that the first two card are queens, then there are 2 queens remaining out of 50 cards remaining, thus the number of cards that are not queen is 50 - 2 = 48 cards.

Therefore, </span>if two of the three cards are queens ,the probability that the other card is not a queen is given by 48 / 50 = 24 / 25 = 0.96
8 0
3 years ago
What is the unit rate for the ratio 100 points/ 4 games?
wlad13 [49]

Answer:c

Step-by-step explanation:

 

7 0
2 years ago
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