Answer:
x=20
Step-by-step explanation:
Hi there!
13y² + 10y - 3 = 5y²
Begin by moving all terms to one side:
13y² + 10y - 3 - 5y² = 0
Combine like terms:
8y² + 10y - 3 = 0
Factor using the guess-and-check method.
(4y - 1)(2y + 3) = 0
Set each factor equal to 0 to find the solutions:
4y - 1 = 0
4y = 1
y = 1/4
2y + 3 = 0
2y = -3
y = -3/2
Answer:
32 km/ hr
Step-by-step explanation:
Given that :
Speed of car = 24km/ hr
Time taken =. 80 minutes = 80 / 60 = 1.33333 hours
The distance traveled :
Speed * time
24 km/hr * 1.333333 = 32 km
Speed required to complete 32 km. Journey in 60 minutes = 1 hour
Speed = distance / time
Speed = 32 km / 1 hour
Speed = 32 km/ hr
Answer:
HJ = 5.20
HI = 3
angle J = 30 degrees
Step-by-step explanation:
sin 60 = HJ/6
HJ = 5.20
cos 60 = HI/6
HI = 3
angle J = 90-60 = 30 degrees
Answer:
0.200
Step-by-step explanation:
The probability of obtaining a 3, in one roll of a fair die is 1/6.
Now, we have 5 rolls.
We now want to know the probability of a 3 showing up in at least one of the rolls.
This simply mean, we add the probabilities of three showing one time plus probability of three showing in 2 of the rolls e.t.c
This means we can have 3 showing up to 5 times.
We add the probabilities as follows:
(1/6) + (1/6)^2 + (1/6)^3 + (1/6)^4 + (1/6)^5 = 0.199974 = 0.200
