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Crazy boy [7]
3 years ago
11

Solve the given inequality and graph the solution on a number line -x/2 + 3/2 < 5/2

Mathematics
1 answer:
Daniel [21]3 years ago
3 0
The correct answer is x>-2.  The graph is attached.

To solve this:

-x/2 + 3/2 < 5/2

Subtract 3/2 from both sides:
-x/2 + 3/2 - 3/2 < 5/2 - 3/2
-x/2 < 2/2
-x/2 < 1

Multiply both sides by 2:
(-x/2)*2 < 1*2
-x < 2

Divide both sides by -1:
-x/-1 < 2/-1

Remember to flip the the symbol since you divide both sides by a negative:
x > -2

To graph the inequality, we draw a number line, making sure we have -2 on it.  We circle -2 and leave it open, since it is strictly greater than.  Then we shade the line to the left.

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The answer is the same
6 0
3 years ago
Read 2 more answers
Rewrite the following statement using a number in scientific notation.
Mila [183]

Answer:

3.1 x 10^11

Step-by-step explanation:

Since we know that giga means billion, we can piece together that 310 gigabytes = 310 billion

310 billion = 310,000,000,000

When writing in scientific notation, we move the decimal point over until there is only a single digit to the right of the decimal point.

Currently the decimal point is all the way at the end of the 310 billion.

310,000,000,000.

We need to move it over to the left, keeping count of how many times we do so, and stopping when there is only one digit to the right of the decimal.

We end up with: 3.10000000000 or 3.1

We moved the decimal over 11 times. This can be represented by the value 10^11 (pronounced as "10 to the 11th power")

Now, we combine these two to create 3.1 x 10^11

We must multiply the 3.1 by 10^11 in order to create the same amount as 310,000,000,000 (310 billion). If we were to leave 3.1 alone, it would not represent 310 billion.

Thus, we leave this as 3.1 x 10^11 which is scientific notation.

5 0
3 years ago
PLEASE HELP ASAP!! DUE!!!
Ipatiy [6.2K]

Answer:

s = (14 + 7 + 11)/2 = 32/2 =16

=> area = sqrt(16*(16-14)*(16-11)*(16-7)) = ~37.95

=> h = 2*Area/Base = 2*37.95/14 = 5.42

8 0
2 years ago
RST stock has an annual dividend per share of $4.35 and a closing price per share of 39.50. What is the yield % for RST stock (t
Nostrana [21]

Step 1

Yield% = (annual dividend per share) / (closing price per share)

\begin{gathered} Yield\text{ \%}=\frac{\text{annual dividend per share}}{\text{closing price per share}} \\  \\ Yield\text{ \%}=\frac{4.35}{39.50} \\  \\ Yield\text{ \%}=\text{ 0.11} \end{gathered}

6 0
9 months ago
What are the most bags Mrs. Dupree can make? Will choose brainliest and will report absurd answers
Umnica [9.8K]

Answer:

  B.  4 bags

Step-by-step explanation:

The number of bags that will have the same quantities of the different gifts is the Greatest Common Divisor of the numbers of gifts.

  GCD(24, 32, 44) = 4

Mrs. Dupree can make at most 4 identical bags.

___

<em>How to find the GCD</em>

The GCD can be found by looking at factors:

  • 24 = 4·6
  • 32 = 4·8
  • 44 = 4·11

4 is the largest common factor of these numbers.

__

The GCD can also be found using Euclid's algorithm. In that algorithm, the larger number is divided by the smaller, with the remainder replacing the larger number after each step. If the remainder is zero, the smaller number is the GCD.

The GCD of several numbers can be found by finding the GCD of a pair, then of that value and the next number:

  GCD(24, 32, 44) = GCD(GCD(24, 32), 44) = GCD(8, 44) = 4

_

  32/24 = 1 r 8 . . . . first step in Euclid's algorithm for GCD(24, 32)

  24/8 = 3 r 0   ⇒   GCD(24, 32) = 8

Then

  44/8 = 5 r 4

  8/4 = 2 r 0   ⇒   GCD(8, 44) = 4 = GCD(24, 32, 44)

3 0
3 years ago
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