Answer:
Rate: 2:5
Unit Rate: 1:2.5
Step-by-step explanation:
Unit Rate is the rate in which x is x to 1. So, each inch of snowfall takes 2.5 hours.
Answer:
2.5 miles
Step-by-step explanation:
The relation between time, speed, and distance is ...
distance = speed × time
We can define t to be Stanley's swimming time. Then t+0.5 was his running time, and 2(t+0.5) was his biking time. His total distance covered is ...
64 = 9(t +0.5) +16(2(t +0.5)) +2.5(t)
64 = 43.5t +20.5 . . . . . . . simplify
43.5 = 43.5t . . . . . . . . . subtract 20.5
t = 1 . . . . . . . . . . . . . . divide by the coefficient of t
Stanley swam for 1 hour, so the distance he covered while swimming was ...
(2.5 mi/h)(1 h) = 2.5 mi
Stanley covered 2.5 miles while swimming.
_____
<em>Additional comment</em>
Stanley ran for 1.5 hours, covering 9×1.5 = 13.5 miles. He biked for 3 hours, covering 16×3 = 48 miles. His total distance was 2.5 +13.5 +48 = 64 miles, as given.
Answer:
Step-by-step explanation:
Range = difference between the highest and the lowest
Mode = Data that occurs the most time
Median = Arrange the data in ascending order. The middle data is the median. If number of data is even, median is the average of the two middle terms.
1) Range = 28 -21 = 7
Mode = 25
Number of data (Count the total dots) = 14
Median = average of 7th and 8th term
Median = (25+25)/2 = 50/2 = 25
2) Range = 0.18 - 0.11 = 0.07
Mode = 0.15 and 0.16
Number of data = 23
Median =12th term = 0.15
Answer:
Step-by-step explanation:
It may not tell you anything. You have to be careful how you think about the answer to this. An ordered pair is just that: it describes an x and y value and that is really all that it does.
However it may also be used to describe the solution to a system of equations which cross in one place. For example, if you plot
y = x + 1
y = -3x + 2
The ordered pair that gives the point where both equations equal the same thing is (0.25,1.25) The graph is shown below, and the ordered pair marks the solution.
Answer:
Sum of the first 15 terms = -405
Step-by-step explanation:
a + 3d = -15 (1)
a + 8d = -30 (2)
Where,
a = first term
d = common difference
n = number of terms
Subtract (1) from (1)
8d - 3d = -30 - (-15)
5d = -30 + 15
5d = -15
d = -15/5
= -3
d = -3
Substitute d = -3 into (1)
a + 3d = -15
a + 3(-3) = -15
a - 9 = -15
a = -15 + 9
a = -6
Sum of the first 15 terms
S = n/2[2a + (n − 1) × d]
= 15/2 {2×-6 + (15-1)-3}
= 7.5{-12 + (14)-3}
= 7.5{ -12 - 42}
= 7.5{-54}
= -405
Sum of the first 15 terms = -405