KT is twice the length of TM.
Multiply TM by 2:
TM = 2y +6
Now set KT and TM to equal and solve:
5y +3 = 2y +6
Subtract 3 from each side:
5y = 2y +3
Subtract 2y from each side:
3y = 3
Divide both sides by 3:
y = 3/3
y = 1
The answer is C.
Answer:
The slope is -4.5
The slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
Step-by-step explanation:
In the equation y = mx + b, m is the slope.
The coefficient in the equation B = 27 – 4.5t is -4.5. This means that -4.5 is the slope of the equation.
In the context of this problem, the slope will represent the percent that Elijah's phone battery will decrease per hour.
So, the slope means that Elijah's phone battery will decrease by 4.5 percent each hour.
I can’t really see it well
Answer:
in the simplest term is:

Step-by-step explanation:
Given the expression

Thus, solving to reduce to the simplest term

LCM of 15, 2: 30
Adjusting fraction based on the LCM
so the expression becomes

Apply the fraction rule: 

Add the numbers: 8+15 = 23

Therefore,
in the simplest term is:

Answer:
The number of distinct arrangements is <em>12600</em><em>.</em>
Step-by-step explanation:
This is a permutation type of question and therefore the number of distinguishable permutations is:
n!/(n₁! n₂! n₃! ... nₓ!)
where
- n₁, n₂, n₃ ... is the number of arrangements for each object
- n is the number of objects
- nₓ is the number of arrangements for the last object
In this case
- n₁ is the identical copies of Hamlet
- n₂ is the identical copies of Macbeth
- n₃ is the identical copies of Romeo and Juliet
- nₓ = n₄ is the one copy of Midsummer's Night Dream
Therefore,
<em>Number of distinct arrangements = 10!/(4! × 3! × 2! × 1!)</em>
<em> = </em><em>12600 ways</em>
<em />
Thus, the number of distinct arrangements is <em>12600</em><em>.</em>