5 less = 5 minus
one forth of x = 1/4x
is y = =y
5-1/4x =y
All the angles inside a triangle add up to 180°.
(2x + 15) + (5x + 5) + x = 180
8x + 20 = 180
8x = 180 - 20
8x = 160
x = 160/8
x = 20
the question is asking what angle B is,
B = 2(20) + 15
B = 40 + 15
B = 55°
Answer:
224 miles
Step-by-step explanation:
What you would do is take the 3 hours times the 46 mph to get 138 miles.
3*46=138
Next, multiply the 2 hours by the 43 mph to get 86 miles.
2*43=86
Lastly, you're going to add the two.
138+86=224 miles.
First : x=-5-y and then put x in the phrase above
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have 
and 
, because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of 
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
