31-2=29 you add 2 to both sides so -2 cancels and you are left with X=31
the answer is 31
Answer:
C
Step-by-step explanation:
A proportional graph is a line. Every line has a slope. The slope is found by subtracting two points as a ratio. The line has points (0,0) and (2,6).
6-0 = 6
2 -0 = 2
The ratio is vertical over horizontal so 6/2 = 3.
The equation is y = 3x.
Answer:
5/34 mi/min
Step-by-step explanation:
To find miles per minute, divide miles by minutes:
(7 3/4 mi)/(52 7/10 min) = (31/4 mi)/(527/10 min)
= (31/4)(10/527) mi/min = 310/2108 mi/min = 5/34 mi/min
Carlton's average pace was 5/34 miles per minute.
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Since the given numbers are mixed numbers, we assume this is supposed to be a problem in fractions. Hence we have given the answer as a fraction. Its decimal value is about 0.14706. It is a repeating decimal with a 16-digit repeat.
You may have to do a little work to reduce the fraction 310/2108 to 5/34. You have to factor out a factor of 62. The numerator is 310=2·5·31, so that gives you a short list of factors to try with the denominator.
Answer:
(a) 
(b) 
(c) 
Step-by-step explanation:

(a) when t = 44sec

s(44) ≅ 
(b) How fast the hammer is traveling i.e. the speed of the hammer.
To find speed, we differentiate the distance s(t) with respect to time, t

at t = 44sec,

≅ 
(c) The hammer's acceleration can be obtained by differentiating the speed v(t) with respect to time, t

There's no need to substitute t = 44sec because the acceleration is independent of time.