Answer:
1/6 and 16.67
Step-by-step explanation:
Add all the marbles, you get 12.
There's 2 out of 12 yellow marbles so you get 2/12
2/12 simplified to 1/6
So 1/6 is the probability as a fraction
Now to get the percentage just divide 100 by 6.
100/6 equals 16.67
Since it's 1/6 we multiply that by one
16.67 times 1 equals 16.67
Let's say her speed was x miles/hour during the first 3 miles runThen, time = distance/speedt1 = 3/x eq1 In the next 4 miles run, her speed = x-1 miles/hourTime taken:t2 = 4/(x-1) eq2 Now, total time:t1 + t2 = 1 3/5 hourssubstitute t1 and t2 from eqs. 1 and 2 3/x + 4/(x-1) = 1 3/5=> 3/x + 4/(x-1) = 8/5
=> 3(x-1) + 4x = 8x(x-1)/5=> 35x - 15 = 8x2 - 8x=> 8x2 - 43x + 15 = 0=> (8x-3)*(x-5) = 0=> x = 3/8 or 5 miles/hourx can not be 3/8 miles/hour because in that case, the speed during 4 miles run would be 3/8-1 = negative numberi.e. speed during 3 miles segment = 5 miles/hourand speed during 4 miles segment = 5-1 = 4 miles/hour
Answer:
Step-by-step explanation:
a)
the sum of all angles in a quadrilateral must be 360º
y+88+25+35 = 360
y = 360=88-25-35
y = 212º
b)
the sum of all angles in an octagon must be 1080º
45+45+140+140+6y = 1080
6y = 1080-90-280
6y = 710
y = 710/6
y=~ 118,3º
Answer:
-3/5
Step-by-step explanation:
First, make the mixed fraction into an improper fraction:
-1 2/5 = -(5/5 + 2/5) = -(7/5)
Note that two negatives = one positive:
- (-4/5) = + 4/5
Combine the terms. Subtract the numerators:
-(7/5) + (4/5) = (-7 + 4)/5 = -3/5
-3/5 is your answer.
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Answer:
Step-by-step explanation:
Noah's running speed = 6 mph.
Use formula 
where
D is the distance,
v is the speed,
t is the time.
If 
hour, then 
miles.
If 
hour, then 
miles.
If 
hours, then 
miles.
If 
hours, then 
miles.
If 
hours, then 
miles.
If 
hours, then 
miles.
So, the table is
