Question

What value makes the expressions equivalent?
6(3x+5) and 15x+□+3x

A. 5
B.11
C.15
D.30

Answer 1

Answer:

D.30

Step-by-step explanation:

6(3x+5)

=18x+30

15x+□+3x

=15x+3x+?

18x+30

Hope it helps you

Answer 2

Answer:

The answer is option D.

Step-by-step explanation:

In mathematics, there are many different ways to represent the same concept or idea. These equivalent expressions can be helpful in simplifying problems, checking answers, and understanding different perspectives on a particular topic.

For example, the expressions "2+2" and "4" are equivalent in math because they both represent the same value. Similarly, "x + 3 = 7" and "x = 4" are equivalent expressions because they represent the same solution to the equation.

To make the expressions 6(3x+5) and 15x+□+3x equivalent, we need to simplify 6(3x+5) using the distributive property and combine like terms in 15x+□+3x.

Using the distributive property, we have:

6(3x+5) = 18x + 30

Now we can combine like terms in 15x+□+3x:

15x + □ + 3x = (15 + 3)x + □ = 18x + □

Therefore, to make the expressions equivalent, we need to find the value of □ that makes 18x + □ equal to 18x + 30.

Subtracting 18x from both sides, we have:

□ = 30

So the value that makes the expressions 6(3x+5) and 15x+□+3x equivalent is 30. Therefore, the answer is option D.

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