Answer:
the angle abc is 180 degrees
A) 1/6
B) 5/6
C) 1
D) 20
Explanation:
A) There is one 6 on a 6-sided die, out of 6 numbers.
B) There are 5 numbers that are not 6 on a 6 sided die, out of 6 numbers.
C) P( 6 or ~6) = P(6) + P(~6) = 1/6 + 5/6 = 6/6 = 1
D) 1/6(120) = 120/6 = 20
Answer:
80 millilitres (mL)
Step-by-step explanation:
Multiply by 1000 because there are 1000 mL in 1 L
Let:
x = Pounds of walnuts in the mix.
Each pound of walnuts costs $0.80. thus x pounds of walnuts cost 0.8x dollars.
Each pound of cashews costs $1.25 and the mix will contain 8 pounds of cashews, so the cost is 8*$1.25 = $10
The total cost of the mix is, therefore: 0.8x + 10 dollars.
We are also given the pound of mix costs $1.00 and we have a total of 8 + x pounds, so the total cost of the mix is 1*(8 + x) dollars.
Equating both costs:
0.8x + 10 = 1*(8 + x)
Operating:
0.8x + 10 = 8 + x
Subtracting x and 10:
0.8x - x = 8 - 10
Simplifying:
-0.2x = -2
Dividing by -0.2:
x = -2/(-0.2)
x = 10
Answer: 10 pounds
We have a + b = 180 and a = 12 + b;
Then, 12 + b + b = 180;
12 + 2b = 180;
2b = 168;
b = 84;
a = 12 + 84;
a = 96;
