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svetlana [45]
3 years ago
13

Solve the following inequality. Then place the correct answer in the box provided. 2x < 8 If someone could please explain it

as well then I would be much obliged! Oh and by the way giving a few points as well!
Mathematics
2 answers:
Tanya [424]3 years ago
8 0
When solving an inequality, the rules are similar to solving an equation, but instead there's an inequality sign. The only thing to be careful about when solving an inequality is that when you multiply/divide by a negative number, you have to flip the inequality sign, but you don't have to worry about that here!

So you have 2x < 8.

Divide both sides by 2 to isolate the variable, x:
2x \ \textless \  8\\&#10;x \ \textless \  4

Your final inequality is x < 4.
Licemer1 [7]3 years ago
4 0

Answer:

The value of x is x< 4.

Step-by-step explanation:

Consider the provided inequality.

2x < 8

We need to solve the above inequality for x.

Divide both the sides by 2.

\frac{2x}{2} < \frac{8}{2}

x< 4

Hence, the value of x is less than 4.

Therefore, the value of x is x< 4.

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The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s
kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0
2 years ago
Is (-5, 6) a solution to y = 2x + 4 ?<br> I need an answer quickly, please
Fittoniya [83]

Answer:

(-5, 6) is not a solution.

Step-by-step explanation:

6=2(-5)+4

6=-10+4

-10+4=-6, not 6.

7 0
2 years ago
(08.06 MC)
const2013 [10]

Answer:

  (3.5, 17)

Step-by-step explanation:

It would be nice to see the whole graph, so we can see where the functions cross.

Without that information, we can still eliminate unreasonable choices.

A) the quadratic at y=3.5 is well above the exponential

B) the most likely choice (3.5, 17)

C) at x=-8, the quadratic is above the exponential

D) neither graph goes anywhere near y = -8

8 0
3 years ago
Read 2 more answers
What is the volume of this rectangular prism 5/2 cm 4 cm 1/2
Naily [24]

Answer:

5cm ^{3}

Step-by-step explanation:

v = whl \\  =  \frac{5}{2} \times  \frac{4}{1}   \times  \frac{1}{2}  \\  =  \frac{20}{4}  \\  = 5 {cm}^{3}

7 0
3 years ago
What is the median of this list of numbers? 5, 10, 13, 7, 5
salantis [7]
The median 13 its in the middle


4 0
3 years ago
Read 2 more answers
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