Answer:
x=6
Step-by-step explanation:
5x - 8 = 3x + 4
+8 +8
5x=3x+12
-3x -3x
2x=+12
/2 /2
x=6
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same,

. In other words, drawing a spade is independent of having drawn the heart first.
So the probability of drawing a heart, replacing it, then drawing a spade is

.
9514 1404 393
Answer:
x = 14
Step-by-step explanation:
The sum of angles in a triangle is 180°:
∠O +∠P +∠Q = 180°
(2x -5)° +(3x -8)° +(10x -17)° = 180°
15x -30 = 180 . . . . . divide by °, collect terms
x -2 = 12 . . . . . . . . . divide by 15
x = 14 . . . . . . . . . . . .add 2
Answer:
The area of square in terms of x = 16x² -24x + 9
Step-by-step explanation:
It is stated in the question that the length of a square = 4x - 3
Formula to find the area of the square is
<h2 /><h2>Area = length²</h2><h2 />
Area = ( 4x - 3 )²
<em>by using ( a - b )² = a² + b² - 2ab</em>
here a = 4x and b = -3
So,
(4x)² + (-3)² - 2(4x)(3)
16x² + 9 - 2(12x)
16x² + 9 - 24x
16x² -24x + 9
The area of square in terms of x = 16x² -24x + 9
-4 1. -8. 24. 12. 40
-4. 48. -288. 1104
1 -12. 72. -276. R1144
ANSWER:
X^3-12x^2+72x-276+1144/x+4