Answer:
B. 1/8 chance
Step-by-step explanation:
Every time you flip a coin you have a 1/2 probability of landing on heads.
If you repeated the process three times in the row
It would be 1/2 x 1/2 x 1/2 = 1/8
The odds they all land on heads is 1/8
Answer:
Step-by-step explanation:
I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.
Now let's make a table:
distance = rate * time
Train 1
Train 2
We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table
distance = rate * time
Train 1 r
Train 2 (r + 12)
Then it says "after 2 hours", so the time for both trains is 2 hours:
distance = rate * time
Train 1 r * 2
Train 2 (r + 12) * 2
Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:
2r + 2r + 24 = 232 and
4r = 208 so
r = 52
This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph
Answer:
. The sweaters cost $10 or less each. We graph it on a number line at 10 and use a filled in dot pointing towards zero for less than.
Step-by-step explanation:
Mrs. Smith buys 3 sweaters (represented by 3s) and 2 jeans (represented by 2j) for a total of at most $120. We don't know the total but we do know she couldn't spend more than $120.
We write
.
We know the jeans cost $45 each, so j=45. We substitute,

We solve for s by subtracting 90 to the other side and dividing the result by 3.

.
The sweaters cost $10 or less each.
Answer:
Is this what you need? Also slope = 10/1 and y intercpet = -1
Step-by-step explanation: