Question 6 of 10

Mathematics

1 answer:

Liula [17]2 years ago

7 0

Answer:

A or C. Pretty sure it's A though.

Step-by-step explanation:

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Table show step by step how do you simplify the algebraic expression 3(x-5)+4x. <br>Justify step 4

ale4655 [162]

<h3>Answer: Commutative Property (choice C)</h3>

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Explanation:

Here are all of the justifications for each step

Step 1. None needed. This is the original expression
Step 2. Distributive property
Step 3. Multiply (the 3 and 5 multiply to 15)
Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the -15 and 4x terms swap places.
Step 5. Associative property. The parenthesis group the first two terms away from the third term.
Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.

6 0

2 years ago

Find two numbers if their sum is 6.1 and their difference is 1.6

Radda [10]

For this case, the first thing we must do is define variables:
x: unknown number (1)
y: unknown number (2)
We now write the equations that model the problem:
their sum is 6.1:
$x + y = 6.1
$
their difference is 1.6:
$x - y = 1.6
$
Solving the system we have:
We add both equations:
$x + x = 6.1 + 1.6

2x = 7.7

x = 7.7 / 2

x = 3.85$
Then, we look for the value of y using any of the equations:
$x - y = 1.6

y = x - 1.6

y = 3.85 - 1.6

y = 2.25$
Answer:
The numbers are:
$x = 3.85

y = 2.25$