When both expressions have the same value, then they are equal to each other.
<h3>What is an equivalent expression?</h3>
The equivalent is the expressions that are in different forms but are equal to the same value.
Consider the expressions 5 + 8k and 8k + 5.
Using k = 3
5 + 8k = 8k + 5
5 + 8(3) = 8(3) + 5
5 + 24 = 24 + 5
29 = 29
Using k = 5
5 + 8k = 8k + 5
5 + 8(5)= 8(5) + 5
5 + 40 = 40 + 5
45 = 45
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<u>Complete question:</u>
Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.
Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29
Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45
Complete the statements.
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.
The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.
Answer:
0.3
Step-by-step explanation:
(7.4-1.1) - (2.1-8.1)
Lets start with (7.4-1.1)
Step 1:
(7.4-1.1) =6.3 (All you do is subtract 7.4-1.1 and it gives you 6.3)
Step 2: Lets do (2.1-8.1)
(2.1-8.1)= -6 (2.1 minus 8.1 gives you -6 because 2.1 is smaller than 8.1 so it will give you a negative)
Step 3: Subtract
6.3-6
So your answer would be 0.3
Hope that helped :)
4x+5 feet
A square has 4 sides, and all of them are the same size. Because of this, you divide the whole expression by 4, and you’re left with 4x+5.
16x/4=4x
20/4=5
Answer:
20 20/27
Step-by-step explanation:
(2 2/3)(3 1/3)(2 1/3) = (8/3)(10/3)(7/3) = 560/27 = 20 20/27
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<em>Additional comment</em>
The first two numbers can be written as a difference and a sum:
= (3 -1/3)(3 +1/3)(2 1/3)
= (3·3 -1/3·3 +3·1/3 -1/3·1/3)(2 1/3)
= (9 -1/9)(2 +1/3) = 9·2 +9·1/3 -1/9·2 -1/9·1/3 = 18 +3 -6/27 -1/27
= 20 20/27
