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Luden [163]
3 years ago
14

What is 2.5 rounded to the nearest whole number?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0
3 because if the number behind the decimal point is a 5 or above you round up.
You might be interested in
. For each of these intervals, list all its elements or explain why it is empty. a) [a, a] b) [a, a) c) (a, a] d) (a, a) e) (a,
Eva8 [605]

Answer:

Elements are of the form

 (i) [a,a]=\{[x,y] : a\leq x\leq a, a\leq y\leq a; a\in \mathbb R\}

(ii) [a,b)=\{[x,y) :a\leq x

(iii)(a,a]=\{(x,y] :a

(iv)(a,a)=\{(x,y): a

(v) (a,b) where a>b=\{(x,y) : a>x>b,a>y>b;a>b,a,b \in \mathbb R\}

(vi) [a,b] where a>b=\{[x,y] : a\geq x\geq b,a\geq y\geq b;a>b,a,b \in \mathbb R\}

Step-by-step explanation:

Given intervals are,

(i) [a,a] (ii) [a,a) (iii) (a,a] (iv) (a,a) (v) (a,b) where a>b (vi)  [a,b] where a>b.

To show all its elements,

(i) [a,a]

Imply the set including aa from left as well as right side.

Its elements are of the form.

\{[a,a] : a\in \mathbb R\}=\{[0,0],[1, 1],[-1,-1],[2,2],[-2,-2],[3,3],[-3,-3],........\}

Since there is a singleton element a of real numbers, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  [a,a] represents singleton sets, and singleton sets are empty so is [a,a].

(ii) [a,a)

This means given interval containing a by left and exclude a by right.

Its elements are of the form.

[ 1, 1),[-1,-1),[2,2),[-2,-2),[3,3),[-3,-3),........

Since there is a singleton element a of real numbers withis the set, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  [a,a) represents singleton sets, and singleton sets are empty so is [a.a).

(iii) (a,a]

It means the interval not taking a by left and include a by right.

Its elements are of the form.

( 1, 1],(-1,-1],(2,2],(-2,-2],(3,3],(-3,-3],........

Since there is a singleton element a of real numbers, this set is empty.

Because there is no increment so if a\in \mathbb R then the set  (a,a] represents singleton sets, and singleton sets are empty so is (a,a].

(iv) (a,a)

Means given set excluding a by left as well as right.

Since there is a singleton element a of real numbers, this set is empty.

Its elements are of the form.

( 1, 1),(-1,-1],(2,2],(-2,-2],(3,3],(-3,-3],........

Because there is no increment so if a\in \mathbb R then the set  (a,a) represents singleton sets, and singleton sets are empty, so is (a,a).

(v) (a,b) where a>b.

Which indicate the interval containing a, b such that increment of x is always greater than increment of y which not take x and y by any side of the interval.

That is the graph is bounded by value of a and it contains elements like it we fixed a=5 then,

(a,b)=\{(5,0),(5,1),(5,2).....\} e.t.c

So this set is connected and we know singletons are connected in \mathbb R. Hence given set is empty.

(vi) [a,b] where a\leq b.

Which indicate the interval containing a, b such that increment of x is always greater than increment of y which include both x and y.

That is the graph is bounded by value of a and it contains elements like it we fixed a=5 then,

[a,b]=\{[5,0],[5,1],[5,2].....\} e.t.c

So this set is connected and we know singletons are connected in \mathbb R. Hence given set is empty.

8 0
3 years ago
Does y = 2x + 4 show direct variation?
Elza [17]

Answer:

no

Step-by-step explanation:

Direct variation is of the form

y = kx

This has a constant added

y = kx+b so it is not a direct variation

5 0
2 years ago
Read 2 more answers
How do I know if 2/8 =2/4
Mashcka [7]
It's not it would have to be 1/4 not 2/4 because divide both by two
6 0
2 years ago
Steps to solve 4.3x+19.35=8.11+4.0x
dimulka [17.4K]

Answer:

  x = -37 7/15

Step-by-step explanation:

1. Find the terms with the variable. They are 4.3x on the left and 4.0x on the right.

2. Identify the term with the least coefficient*. It is 4.0x on the right.

3. Subtract that term from both sides of the equation.

  4.3x -4.0x +19.35 = 8.11 +4.0x -4.0x

  0.3x +19.35 = 8.11 . . . . . . simplify

4. Identify any constant term on the side of the equation with the variable. It is 19.35 on the left.

5. Subtract that constant from both sides of the equation.

  0.3x +19.35 -19.35 = 8.11 -19.35

  0.3x = -11.24 . . . . . . . simplify

6. Divide both sides of the equation by the coefficient of the variable. That coefficient is 0.3 in this equation.

  (0.3x)/0.3 = (-11.24)/0.3

  x = -37.466666... (repeating decimal)

__

If you like, you can express the solution as a mixed number:

  x = -11.24/0.30 = -1124/30 = -562/15

  x = -37 7/15

_____

You are expected to be able to do the math using the numbers in any form they might appear: integers, mixed numbers, fractions, decimals, scientific notation. You can convert the problem here to an integer problem by multiplying both sides by 100:

  430x +1935 = 811 +400x

The answer still has a fraction in it: x= -1124/30 = -37 7/15.

_____

* You subtract the term with the least coefficient so the variable term in the result has a positive coefficient. That may be desirable, but is not necessary. You can subtract either variable term to get the variable on one side of the equal sign. You have to pay attention to the resulting sign when you divide by the variable's coefficient.

4 0
3 years ago
Convert 80 liters into gallons. Round your answer to the nearest tenth.
vivado [14]

Answer:

21.13 US gallons

Step-by-step explanation:

. _ .

7 0
3 years ago
Read 2 more answers
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