Answer:
50
Step-by-step explanation:
If the first statement its true (At most 0 of the statements are true), there are not true statements in the paper. So, the first statement its false.
Now, if the first statement its false, this mean there must be at least 1 true statement in the paper.
Now, if the second statement its true ( at most 1 of the statements are true) this implies that the third statement its true (if "at most 1" its true, then "as most 2" must be true).
If any statement (besides the first) its true, then all the statement that follows it must be true.
The first non false statement, then, must be the statement made by the person 51: "At most 50 statements are true"
And the 49 statements that follows are true as well.
(a) 3(x-1) = 2x-3+3x
3x-3 = 5x-3
3x-5x = 0
-2x =0
x = 0
(b) 4x +1/3 = x - 5/2
4x-x = -5/2-1/3
3x = -17/6
x = -17/6 . 1/3
x = - 17/18
(c) 1/2 x - 17 = -23
1/2 x = -6
x = -6.2
x = - 12
Answer:
one solution
Step-by-step explanation:
3x + 6 =- 1 - 3 + 4x
Subtract 3x from each side
3x-3x + 6 =- 1 - 3 + 4x -3x
6 = -4+x
Add 4 to each side
6+4 = -4+4+x
10 =x
One solution
We will use ratio and proportion between the inclined sides with its corresponding horizontal bases. Then we could determine for the value of segment AQ.
PA/SB = AQ/BR
32/30 = AQ/24
AQ = 25.6 yd
Since what is asked is segment PQ,
PQ = PA + AQ
PQ = 32 + 25.6
PQ = 57.6 yards
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