The value of the lesser integer is -25
Answer:
Step-by-step explanation:
The slope of a line given two points 
and 
is
Answer:
Step-by-step explanation:
$1 times 5 equals $5
$30-$5= $25
$25 divide by each 5 friends equals $5. So your answer is $5
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:
Option (2)
Step-by-step explanation:
Given expression is, AX + B = C
AX + B = C
AX = C - B
C - B = 
= 
C - B = 
Let 
AX = 
= 
Since AX = C - B
Therefore, a = 1, b = 5
(-3a - 4c) = -35
3(1) + 4c = 35
3 + 4c = 35
4c = 32
c = 8
And (-3b - 4d) = -11
3(5) + 4d = 11
4d = -4
d = -1
Therefore, Option (2). X = 
will be the answer.
