Answer:
x = 66.5
x + 1 = 67.5
x + 2 = 68.5
x + 3 = 69.5
x + 4 = 70.5
x + 5 = 71.5
x + 6 = 72. 5
x + 7 = 73.5
x + 8 = 74.5
x + 9 = 84.5
Step-by-step explanation:
Given that :
Age of 10 friends are consecutive integers :
Let the ages be :
x, x+1, x+2, x+3, x+4, x+5, x+6, x+7, x+8, x+9
The sum of their ages = 710
Hence,
x + x+1 + x+2 + x+3 + x+4 + x+5 + x+6 + x+7 + x+8 + x+9 = 710
10x + 45 = 710
10x = 710 - 45
10x = 665
x = 665 / 10
x = 66.5
x + 1 = 67.5
x + 2 = 68.5
x + 3 = 69.5
x + 4 = 70.5
x + 5 = 71.5
x + 6 = 72. 5
x + 7 = 73.5
x + 8 = 74.5
x + 9 = 84.5
Neck: In 2/3 of an hour Naomi will stretch her neck one (there's not enough time for two neck stretches, that would require an hour).
Legs: In 2/3 of an hour, she will stretch her legs twice (1 stretch every 1/3 of an hour for 2/3 of an hour equals 2).
Arms: In 2/3 of an hour she will stretch her arm four times (2/3 divided by 1/6 equals 4).
Total stretches: 1 neck stretch, 2 legs stretches, and 4 arms stretches.
Remark
This is quite a nice little problem. It takes a minute or three to figure out the answer, and when you do, you will be certain that you have been tricked. It is a little like the egg of Columbus.
Solution
The Base of Triangle ABN is AB
The Base of Triangle CDM is CD
The height of both given triangles is h. That is the distance between the two parallel lines.
Area ABN = 1/2*AB * h = 23 cm^2
Area CDM = 1/2*CD * h = 18 cm^2
Now the Area of the trapezoid is
Area_Trapezoid = 1/2 * h (AB + CD) Using the distributive property Remove the brackets.
Area_Trapezoid = 1/2*AB*h + 1/2*CD*h Did you notice something? Those terms are just the area of the triangles (written above.)
Area Trapezoid = 23 + 18 = 41 cm^2 <<<< Answer
<span>So we need to find the average speed of the bus that travels 20 km in 30 minutes. Average speed is defined as: Average speed=distance travelled/time taken or: v=s/t. We know s=20 km and t=30 minutes=0.5h. So after we input our numbers in the equation, we get: v=20km/0.5h=40km/h. So the correct answer is C) 40km/h.</span>
The answer is d he traveled 198 miles over the span of 12 months driving to his friends house.
