Yes the expressions are equivalent
Answer: x = -0.3
Step-by-step explanation:
<u>Given expression</u>
1 - 3 (9x + 3) = 3x + 1
<u>Expand parentheses and apply the distributive property</u>
1 - 27x - 9 = 3x + 1
<u>Combine like terms</u>
(1 - 9) - 27x = 3x + 1
-8 - 27x = 3x + 1
<u>Subtract 3x on both sides</u>
-8 - 27x - 3x = 3x + 1 - 3x
-8 - 30x = 1
<u>Add 8 on both sides</u>
-8 - 30x + 8 = 1 + 8
-30x = 9
<u>Divide - 30 on both sides</u>
(-30)x / (-30) = 9 / (-30)
(-30)x / (-30) = 3 / (-10)

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Answer:
30.31 inches.
Step-by-step explanation:
Answer:
40 students total
Step-by-step explanation:
Let s represent the total number of students. Then (3/4)s are girls and (1/4)s are boys. Using the info on boys, (1/4)s = 10. Thus, s = 40 (students).
Check: Is (1/4)(40) = 10? Yes.
Is (3/4)(40) = 30? Yes
Is 10+30 = 40 (students)? Yes
Answer:

Step-by-step explanation:
We can set up the following proportion and solve for length (
):
