<u>Answer:</u>
False
<u>Step-by-step explanation:</u>
The given statement: 'the order in which you perform operations in a numerical expression does not matter' is absolutely false.
The order or sequence in which a mathematical expression is solved does matter a lot. Performing mathematical operations in a different manner will result in different results.
The rule for performing mathematical operation states that a numerical expression should be solved in the following manner:
1. Brackets
2. Of
3. Division
4. Multiplication
5. Addition
6. Subtraction
Answer:
19.5
Step-by-step explanation:
78÷4
=39÷2
=19.5
The Answer is 19.5
Answer:

Step-by-step explanation:
Both expressions are examples of the <em>distributive property</em>, which basically says "if I have <em>this </em>many groups of some size and <em>that</em> many groups of the same size, I've got <em>this </em>+ <em>that</em> groups of that size altogether."
To give an example, if I've got <em>3 groups of 5 </em>and <em>2 groups of 5</em>, I've got 3 + 2 = <em>5 groups of 5 </em>in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.
Mathematically, we'd capture that last example with the equation
. We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this:
.
This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols:
. When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as <em>3 groups of 5</em> and 10 is the same as <em>2 groups of 5</em>. Using the distributive property, we could write this as
, so we can say that
.
Answer:
C. x > 1/3
Step-by-step explanation:
2x + 4 < 5x + 3
We treat this as a regular equation and combine like terms:
1 < 3x
x > 1/3
Thus, the answer is C.
Hope this helps!
Answer:
It is shifted 5 units down.
Step-by-step explanation:
The - 5 shifts the whole graph 5 units down.