Answer:
Rates. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.
Step-by-step explanation:
21/9 + 74/9 = (21 + 74)/9 = 95/9 = 10 5/9
Answer: 5890 meters
Step-by-step explanation:
Given: The highest point in the mountains of Seattle is 5,833 meters above sea level.
The lowest point in the valley is 57 meters below sea level.
in integers it is represented by -57 meters. [we use negative integer to represents "below"]
Difference between the highest and lowest point = Highest point - lowest point
= 5,833 meters -(-57) meters
= (5833 + 57) meters [a-(-b)= a+b]
= 5890 meters
Hence, the required difference = 5890 meters
The diameter of circle B is 50 cm.
Step-by-step explanation:
Given,
The circumference of circle A = 314.159 ft
Diameter of Circle B is half of the diameter of circle A.
Let, the radius of circle A is r
To find the diameter of circle B
Formula
Circumference of a circle of radius r = 2πr
According to the problem,
2πr = 314.159
or, r = 
= 50 (approx)
So,
The diameter of circle A = 2×50 cm = 100 cm
The diameter of circle B = 50 cm.
These are linear equations that can be solved simultaneously;
5m+3n=41
3m-6n=9 (multiplying the first equation by 3 and the second by 5)
15m+9n=123
15m-30n= 45 (subtracting the two equations)
39n = 78
n = 2,
and for m, 3m = 9+6(2)
= 21
m = 7
Therefore, n=2 and m=7
