Answer:
40 people
Step-by-step explanation:
First thing, you have to find the area below the 40 - 55 line in the histogram. The area can be find using the area of a rectangle: side × side
Doing this you'll find an area of 60.
After that, find the total area of the histogram in the same way: separate it in rectangles and use the formula for the area of a rectangle, and after you'll find a total area of 100
Now you have to do a rule of three:
We know from the question statement that the amount of people with 40 - 55 years old is 25, and that area correspond to 60, so:
60 ------- 24
100 ------- x
60•x = 24•100
60x = 2400
x = 2400/60
x = 40
18 units squared multiply 6 times 3 to get this answer- 18u^2
<u>ANSWER</u>
(0, 1), (1, 3), (2, 9), (3, 27)
<u>EXPLANATION</u>
The first and third options are completely out because the y-value of an exponential function is never zero.
For the second option the y-values has no geometric pattern or common ratio.
For the last option, we can observe the following pattern
![1 = {3}^{0}](https://tex.z-dn.net/?f=1%20%3D%20%20%7B3%7D%5E%7B0%7D%20)
![{3}^{1} = 3](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B1%7D%20%20%3D%203)
![{3}^{2} = 9](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B2%7D%20%20%3D%209)
![{3}^{3} = 27](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B3%7D%20%20%3D%2027)
:
:
![{3}^{x} = y](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7Bx%7D%20%20%3D%20y%20)
The correct choice is the last option
Answer:
52 miles per hour
Step-by-step explanation:
Given:
Distance driven = 364 miles
Total time taken = 7 hours
Required:
Average speed of Chad
SOLUTION:
Average speed is the number of miles covered per hour.
Thus:
Average speed = distance covered / time taken to cover the distance
Average speed =
.
Chad's average speed is 52 miles per hour.
These equations seem tricky, but aren't as hard as you think. Just solve it like you are regularly adding fractions.
Your common denominator is 9x + 9, so
1/(9x+9) = 36/(9x + 9) - (5x + 5)/9
1 - 36 + 5x + 5 / 9x - 9
30x - 30/9x - 9
10x-10/3x - 3
10(x-1)/3(x-1)
10/3
Hope this helped!