Answer:
11/14
Step-by-step explanation:
(P of blue marble) + (P of even numbered) - (P blue and even) =
8/14 + 7/14 - 4/14 = 11/14
Answer:
y = 7/3 and x = 1
Step-by-step explanation:
Since this figure is a parallelogram, the opposite sides of the parallelogram are congruent, therefore:
2y-9 = y-2 and 3x+1 = 5x-1
y and x can now be found algebraically:
2y-9 = y-2 3x+1 = 5x-1
3y-9 = -2 -2x+1 = -1
3y = 7 -2x = -2
y = 7/3 x = 1
So y is 7/3 and x is 1. When showing your work I would also mark the opposite sides of the parallelogram as congruent to one another (see image as reference).
Answer:
<h2>x = 33 m</h2>
Step-by-step explanation:
Use the Pythagorean theorem:
We have
Substitute:
<em>subtract 3136 from both sides</em>
Answer:
x = -1
Step-by-step explanation:
1/4 (4x - 4) = -2(6x + 7)
1x - 1 = -12x - 14
13x = -13
x = -1
Step-by-step explanation:
0.2x² − 0.8x = 1.6
Multiply both sides by 5.
x² − 4x = 8
Complete the square by adding 4 to both sides.
x² − 4x + 4 = 12
(x − 2)² = 12
x − 2 = ±√12
x = 2 ± √12
The positive solution is x = 2 + √12 ≈ 5.46.