2n+1=21
The value of n obtained from equation 2n+1=21 is 10.
Value of n to be determined in equation 2n+1=21.
Statements execute as mathematical expressions. In arithmetic mathematics deals with various statements, progressions, sequences etc.
Here,
⇒2n+1=21
2n=21-1
2n=20
n=20/2
n=10
Thus, the value of n in equation 2n+1=21 is 10.
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The expression that gives the train's speed in miles per hour is:
Speed = 524 / 4.5 = 116.44 miles per hour.
To find the train's speed in miles per hour, you can use the formula:
Speed (in miles per hour) = Distance (in miles) / Time (in hours)
In this case, the distance the train travels is 524 miles, and the time it takes is 4 1/2 hours. To convert 4 1/2 hours into a decimal, you can calculate it as follows:
4 1/2 hours = 4 + 1/2 = 4.5 hours
Now, you can use the formula to calculate the speed:
Speed (in miles per hour) = 524 miles / 4.5 hours
Speed (in miles per hour) = 116.44 miles per hour (rounded to two decimal places)
So, the expression that gives the train's speed in miles per hour is:
Speed = 524 / 4.5 = 116.44 miles per hour
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Answer:
The coordinate of C is (5,9)
Step-by-step explanation:
A, B and C are collinear and B is between A and C.
The ratio of AB to AC is 1:3
If A is at (2,-6) and B is at (3,-1)
AB:AC = 1:3
B is between A and C
AB:(AB+BC) = 1:(1+2)
Therefore, AB:BC = 1:2
Let the point C (a,b)
Using section formula:
where,
Substitute into formula and solve coordinate point C
Hence, The coordinate of C is (5,9)
Answer:
(5, 9)
Step-by-step explanation:
The distance between A and B is 1/3 the distance between A and C.
x coordinates:
3 − 2 = 1/3 (x − 2)
1 = 1/3 (x − 2)
3 = x − 2
x = 5
y coordinates:
-1 − (-6) = 1/3 (y − (-6))
5 = 1/3 (y + 6)
15 = y + 6
y = 9
The coordinates of point C are (5, 9).
5 people ,5 hours ,5 presents
1person, 5 hours ,1 present
if we allocate 1 person for each gift it would take 5 hours for each person to make a present