Answer:
In arithmetic, variables look like letters.
Step-by-step explanation:
As we know that Mathematical arithmetic deals with numbers and certain properties with them.
Some of the main properties between numbers are as follows:
Variables do not remain constant, so we basically assign a number to a variable with an equal operator denoted by '='.
For example, let us assume a variable x being equal to 7. so it can written as:
Let suppose the value of the variable x=7 changes to x=10, then the new value will be:
Therefore, the correct answer is:
In arithmetic, variables look like letters.
The union of sets P = {5, 6, 7, 8, 9} Q = {1, 2, 3, 4, 5} is given by which of the following? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2,
vaieri [72.5K]
Answer: First option.
Step-by-step explanation:
Given two sets <em>A</em> and <em>B, </em>the union (<em>A</em>∪B) will be the set of elements which belong to either <em>A</em> or to <em>B</em> or to both.
Inf this case you have these two sets:
{
} and 
{
}
To find the union of these sets, put together the elements of the set <em>P</em> and the elements of the set <em>Q</em> (you need to remember that no element must be repeated).
Then, you get that the union of sets <em>P </em>and <em>Q</em> is:
∪{
}
This matches with the first option.
24 just finished and you gotta solve it yourself to make sure it’s right
Hello!
To solve this, first write two equations. We are given two facts about the situation, so we can write the equations accordingly.
Say the length of the rectangle is l, and the width is w.
<u>The length of a rectangle is 9 inches more than twice its width:</u> 2w + 9 = l, as you're adding 9 to two times the width.
<u>The perimeter of the rectangle is 48 inches:</u> The equation for perimeter is 2l + 2w, so we can just use that in this case to make the equation - 2l + 2w = 48
Now, set up the system of equations.
Now, we can already use substitution to solve. We get from one of the equations that l = 2w + 9, so we can substitute 2w + 9 for l in the other equation, and then solve for w.
2l + 2w = 48
2 (2w + 9) + 2w = 48
4w + 18 + 2w = 48
6w = 30
w = 5
We know one of our variables now. Now, all that's left to do is substitute 5 for w in one of the original equations to solve for l.
2w + 9 = l
2 (5) + 9 = l
10 + 9 = l
19 = l
Therefore, we now have our dimensions. The length of the rectangle is 19 inches, and the width is 5.
Hope this helps!
