ANSWER

EXPLANATION
The number of green marbles in the bag is

The total number of marbles in the bag is

The probability of selecting a green marble from the bag without looking is

Substitute the values to get,


Answer:

Step-by-step explanation:
General arithmetic sequence formula: 
where
= first term, and d = common difference.
The first term is -8
And the common difference appears to be - 7 as 7 is subtracted to get to the next term. Ex. -8 - 7 = -15, -15 - 7 = - 22 and so on.
To get the explicit formula of the sequence we simply plug in the values of a1 and d the general arithmetic sequence formula
General formula: 
We have
and d = -7
So the formula to find the nth term would be

Answer:
50
Step-by-step explanation:
All angles around a circle is 360°
/_ 2 = 130°
/_ 1 = 130° (Vertically opposite angles)
= 130° + 130° = 260°
all angles = 360°
= 360° - 260° = 100°
= 100° ÷ 2
= 50°
= /_ 3 and /_ 4 = 50°
Verification = 130° + 130° + 50° + 50° = 360°
Answer:
20
Step-by-step explanation:
Let the cost of 1 hot dog be $x.
2x ≥ 25 + 0.75x
2x - 0.75x ≥ 25
1.25x ≥ 25
x ≥ 20
Answer:
Infinite
Step-by-step explanation:
3(4x + 1) - 2
= 12x + 3 - 2 (Multiply the sum in the bracket by 3)
= 12x + 1 (Simplify)
This means that:
12x + 1 = 3(4x + 1) - 2
is the same as
12x + 1 = 12x + 1
Hence, anything that is used to substitute x is correct.