Answer:
115
Step-by-step explanation:
Start by distributing the exponent to each of the terms in
. This will become
, and
. Now, the expression is:
.
We can now simplify the bottom to read:
because when multiplying variables raised to an exponent, we add the exponents. The expression now looks like:

The 2/8 simplifies to 1/4:

Now, we have two u terms on the top and bottom. When dividing variables raised to an exponent, we subtract the exponents. However, since 3-5=-2, the term will be on the bottom to avoid the negative exponent. The final answer is:

Hope this makes sense!!
The algebraic equation used to answer this question is:
3d + 4(1/2d) = 56.5
This is because he ran d, the distance, three times that week. For the rest of the four days, he ran 1/2 the distance, or half d.
To find the answer, you first distribute:
3d + 2d = 56.5
Add like terms:
5d = 56.5
Divide both side by 5:
5d/5 = 56.5/5
d = 11.3
On the first three days, Luke jogged 11.3 miles. On the remaining days, where he jogged 1/2d, Luke jogged 5.65 miles.
Hope this helps!
Y = 2x - 1...slope here is 2 and y int is -1
2y - 4x = 7
2y = 4x + 7
y = (4/2)x + 7/2
y = 2x + 7/2...slope here is 2 and y int is 7/2
When the slopes of the lines are the same, and the y intercepts different...this means they are parallel lines
Answer: C is not true
Step-by-step explanation:
I can't really explain why c is not true but I know for sure that A, B, and D are True.