7/10(5d+6)
1.35d + 6
2.7/2d +21/5
3.5d +21/5
4.35d + 42
The correct answer is 5. 35d + 42
To simplify the expression 7/10(5d+6):
Step 1: Distribute the 7/10 to each term inside the parentheses.
7/10 * 5d = (7/10) * (5d) = 35d/10 = 3.5d
7/10 * 6 = (7/10) * (6) = 42/10 = 4.2
So, the simplified expression is 3.5d + 4.2.
Similarly, to simplify the expression 7/2d + 21/5:
Step 1: Find a common denominator for the fractions 2 and 5, which is 10.
7/2d = (7/2d) * (5/5) = 35/10d
21/5 = (21/5) * (2/2) = 42/10
Step 2: Combine the fractions:
35/10d + 42/10 = (35 + 42)/10d = 77/10d
So, the simplified expression is 77/10d.
For the expression 5d + 21/5, it is already in its simplified form.
And finally, for 35d + 42, it is also already simplified.
To find the value of the expression 7/10(5d+6), you need to apply the order of operations and simplify the expression step by step.
1. Distribute (or multiply) the 7/10 to both terms inside the parentheses:
7/10 * 5d + 7/10 * 6
This simplifies to:
(7/10) * 5d = 35/10 * d = 3.5d
And
(7/10) * 6 = 42/10 = 4.2
2. Combine the simplified terms:
3.5d + 4.2
So the final simplified expression is 3.5d + 4.2.
Now let's apply the same process to the other expressions:
2. For the expression 7/2d + 21/5, there is no need to distribute since there is no expression inside parentheses.
This expression is already simplified.
3. For the expression 5d + 21/5:
There are no coefficients to multiply, so this expression is also simplified.
4. For the expression 35d + 42:
Again, there is no need to distribute since there are no parentheses in this expression. This expression is already simplified.
So the simplified forms of the expressions are:
1. 3.5d + 4.2
2. 7/2d + 21/5
3. 5d + 21/5
4. 35d + 42