I'll do this step-by-step. Note, ratios are basically division signs.
The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.
The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.
There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)
So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.
If you don't want the explanation, there are 33 more cars than vans in the parking lot.
Answer:
47.25 ft³
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh . . . . . . . B is the area of the base, h is the height.
The height of the prism is given as 6 ft. The area of the base is the area of the triangular entrance. The formula for that area is ...
A = 1/2bh . . . . . . b is the base, h is the height
Using the given values for the entrance base and height, we get ...
A = 1/2(4.5 ft)(3.5 ft) = 7.875 ft²
Then the volume of the tent is ...
V = (7.875 ft²)(6 ft) = 47.25 ft³
The tent volume is 47.25 cubic feet.
Answer:
Mean (Average):
353.5
Median (Middle):
(210+426)/2 = 318
Mode (Most Common):
No Mode of this set
Range (Biggest - Smallest):
673
Step-by-step explanation:
Answer:
a = 8.5
b = 4.5
Step-by-step explanation:
let 2 number be a ,b
a + b = 13 (1)
a - b = 4 (2)
(1) + (2) = 2a = 13+4 = 17 -> a = 8.5
-> b = 8.5 -4 = 4.5
