Answer:
x = 3
Step-by-step explanation:
Because the endpoints of the segment with length 12.5 are the midpoints of the sides of the large trapezoid, the length of that segments, 12.5, is the average of the lengths of the top and bottom lengths of the large trapezoid.
(3x + 1 + 15)/2 = 12.5
Multiply both sides by 2.
3x + 16 = 25
3x = 9
x = 3
Answer:
4 hours
Step-by-step explanation:
The distances and average speeds for the first two days driven are show below.
Step 1
We calculate the total distance covered in the first two days
First day: 6 hours at an average speed of 60 miles per hour
Hence:
1 hour = 60 miles
6 hours = x
x = 60 × 6
x = 360 miles
Second day: 4 hours at an average speed of 65 miles per hour
Hence:
1 hour = 65 miles
4 hours = x
x = 65 × 4
x = 260 miles
The distance covered for the first two days =
(360 + 260)miles
= 620 miles
Step 2
The total distance for the entire trip = 820 miles
Hence, the distance left to cover on the third day = (820 - 620)miles
= 200 miles
In the question, we are told:
If the average speed on the third day is 50 miles per hour,
The number of hours it will take for them to reach their family friends home is calculated using the formula
Time = Distance/Speed
Time = 200 miles/50 miles per hour
Time = 4 hours
Answer:
a = -6, b = 48
Step-by-step explanation:
a(3x - 8) = b - 18x --> 3ax - 8a = b - 18x, then comparing two sides for the x part, only 3ax and -18x has x, so there are equivalent 3ax = -18x, solve for a = -6, then the part left is -8a = b, let a = -6 into the equation, get -8 * -6 = b = 48.
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Answer:
No.
Step-by-step explanation:
Both sets contain the elements k and m.