Answer:
The expression is 10t = 65
Step-by-step explanation:
At the point where the local train and the express train meet, both trains would have travelled an equal distance.
A local train leaves the station in Springfield traveling toward New York City at a constant rate of 55 mph.
Let t represent the time it spent in travelling a given distance.
Distance = speed × time
Therefore,
Distance travelled by the local train is 55 × t = 55t
The express train headed for New York City on the same route leaves the station 1 hour later. The rate of the express train is 65 mph. It means that total time spent travelling the same distance as the local train is t - 1
Therefore, distance travelled is
65(t - 1)
Since the distance travelled is the same, therefore,
55t = 65t - 65
65t - 55t = 65
10t = 65
Divide the fraction gives you an irrational number since the decimal goes on forever but since the decimal can be written as a "fraction or ratio" it is rational.
Best of Luck!
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
Number of colors that the arrow can land on = 8
We need to find the degrees of freedom for a goodness of fit test of the fairness of this spinner.
As we know that degree of freedom is 1 less than the size of sample.
So, Mathematically, it is expressed as below:
So, Degree of freedom would be

Hence, Option 'c' is correct.
Answer:
(x+2)(x+8)
Step-by-step explanation:
1.)find factors of the third expression(16)that will add up to give the second expression(10)
16=2×8. 10=2+8
2.)substitute those factors inplace of 10


3.)factorise using grouping method



Answer:
31.4 inches
Step-by-step explanation:
If a circle is inscribed in a square then diameter of circle inscribed is same as side as of square.
In the given problem it is given that side of square is 10 inches.
So diameter of circle inscribed is 10 inches
we know radius of circle is half of diameter of circle
Thus, radius of circle inscribed = diameter of circle/2 = 10/2 = 5inches.
Expression to calculate circumference of circle is given by 
where r is the radius of circle.
Thus circumference of circle inscribed is

Thus, circumference of circle inscribed is 31.4 inches