Answer:
the answer for the question is 13°
Convert all to decimals
percent means parts out of 100
13%=13/100=0.13
'of' means mutiply
Tom=13% of 4
tom=0.13 times 4
tom=0.52 lb
Lisa=0.6 lb
Jane=0.12 of 4
jane=0.12 times 2
jane=0.48
Tom=0.52
Lisa=0.60
Jane=0.48
Lisa used the most
Option C: 
is the slope of the line
Explanation:
The line passes through the points 
and 
We need to find the slope of the line.
The slope can be determined using the formula,
Where the coordinates 
and 
are and
Let us substitute the points in the formula
Thus, we have,
Simplifying, we get,
Adding the numerator and denominator, we have,
Cancelling the negative terms, we get,
Thus, the slope of the line is
Therefore, Option C is the correct answer.
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>
Answer:
Length: x + 5
Step-by-step explanation:
x² + 8x + 15 = length × width
x² + 8x + 15
x² + 5x + 3x + 15
x(x + 5) + 3(x + 5)
(x + 5)(x + 3)
Width: (x + 3)
Length: (x + 5)
