Answer:
Yes, Holmes is correct.
Step-by-step explanation:
Let's separate each statement of Holmes: (they are all true)
- If Mrs. Smith is lying then Moriarty has not escaped.
- Either Moriarty is dead or he is really Jones.
- If Moriarty is really Jones then he has escaped.
- I am convinced Mrs. Smith is lying.
If we start with the last one, we know that Mrs. Smith is lying. That takes us to the first one, Mrs. Smith IS lying, so Moriarty has not escaped.
If we look the second one, either Moriarty is dead or he is really Jones.
If he is really Jones, that takes us to the third statement that says that Moriarty has escaped. But we know from the first statement that he hasn't escaped, so he can't be Jones.
So, going back to the second statement, Moriarty is dead.
Answer: x = 2/7y + 3/7 and
x= -5/4y + 0.8125
Step-by-step explanation: Let's solve for x.
7x−2y=3
Step 1: Add 2y to both sides.
7x − 2y + 2y= 3 + 2y
7x = 2y + 3
Step 2: Divide both sides by 7.
7x/7 = 2y+3/7 this is for the second answer Step 1: Add -5y to both sides.
4x+5y+−5y=3.25+−5y
4x=−5y+3.25
Step 2: Divide both sides by
4/4 x 4 = −5y + 3.25/4
9514 1404 393
Answer:
- |w -30| > 1.6
- (-∞, 28.4) U (31.6, ∞)
Step-by-step explanation:
1. The snack bags will be rejected if their weight differs from 30 grams by more than 1.6 grams:
|w -30| > 1.6
__
2. This inequality resolves to two inequalities.
w -30 > 1.6
w > 31.6 . . . . . add 30
and
-(w -30) > 1.6
w -30 < -1.6 . . . multiply by -1
w < 28.4 . . . . . add 30
The solution in interval notation is the union of the two disjoint intervals:
(-∞, 28.4) U (31.6, ∞)
1/4 + 3/10
find the common denominator which is 20
multiply by 5 for 1/4
1(5)/4(5)=5/20
multiply by 2 for 3/10
3(2)/10(2)=6/20
5/20+6/20=11/20
answer:
11/20
B. if two lines are perpendicular, then they intersect to form four right angles.