5x + 60y = 35
x +y = 1.5 : rewrite as x = 1.5-y and substitute this formula for x in the first one:
5(1.5-y) + 60y = 35
distribute:
7.5 - 5y + 60y = 35
combine like terms:
7.5 + 55y = 35
subtract 7.5 from both sides:
55y = 27.5
divide both sides by 55 to solve for y
y = 27.5 / 55 = 0.5
now substiute 0.5 for y in the 2nd equation:
x + 0.5 = 1.5
x = 1.5 - 0.5 = 1
he walked for 1 hour
Answer:
$63.75
Step-by-step explanation:
The answer will be 210 seconds. 60 X 3 = 180+ 30= 210
Hey user!!!
given the radius of the cylindrical mold is 2 inches and height is 3 inches.
volume of the cylindrical mold = πr²h
= 3.14 × 2 × 2 × 3
= 37.68 in³
radius of the spherical mold is given = 2 inches
volume of the spherical mold = 4/3πr³
= 4/3 × 3.14 × 2 × 2 × 2
= 100.48/3 in³
difference between the amount of wax needed = 37.68/1 - 100.48/3
= ( 113.04 - 100.48 ) / 3
= 12.56/3
= 4.186...
so approximately 4.19 in³
hence, correct option is 4.19 in³
cheers!!!
Answer:
B.) P(A/B) = P(A)
Step-by-step explanation:
If two events, A and B are independent:
We have that:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
Since they are independent:
Then
So
, or either:
, and thus, the correct answer is given by option B.
