Combined rates
Susan = 2 car / 3 hr
= 2/3
Joe = 3 car / 4 hr
= 3/4
add the rates to get the new combined rate as 17 cars in "t" hours.
2/3 + 3/4 = 17/t
Need common denominator
2/3(4/4) + 3/4(3/3) = 17/t
8/12 + 9/12 = 17/t
17/12 = 17/t
see that "t" is 12 hours
Answer:
There are 96 large tents and 60 small tents
Step-by-step explanation:
Here, we want to calculate the number of tents of each sizes there
Let the number of 6-boys tent be s and the number of 4-boys tent be f
6s + 4f = 816 ••••••(i)
Ratio of large to small ( ratio of s to f)
8:5 = s/f
8/5 = s/f
8f = 5s
f = 5s/8 ••••(ii)
Substitute ii into i
6s + 4(5s/8) = 816
6s + 5s/2 = 816
Multiply through by 2
12s + 5s = 1,632
17s = 1632
s = 1632/17
s = 96
f = 5s/8
f = (5 * 96)/8 = 60
Answer:
8:27
Step-by-step explanation:
1 way to do it is...
The volume of a sphere is 4/3*pi*r^3. Plugging in 2 and 3 in for the radii you get the volumes are about 33.51 and 113.1, which is an 8:27 ratio.
Another way to do it is...
The ratio of the radii is 2:3 and a radius is 1-dimensional. The volume, however is 3-dimensional. To get from 1-D to 3-D, you have to cube the numbers. 2^3 is 8 and 3^3 is 27, so the ration is 8:27.
Answer:
25 = 1/2(3 + 7)h
5 feets
Step-by-step explanation:
Given that:
Window shaped in the form of a trapezium :
The length of its bases :
Top of window base = 3 feets
Bottom of window base = 7 feets long
Area of Windom = 25 feets²
Recall :
Area of a trapezium is given by :
Area, A = 1/2(a + b)h
a and b are the bases
h = height
Inputting the Given values into the equation :
25 = 1/2(3 + 7)h
Hence, the height of the window can be Obtian using the expression
25 = 1/2(3 + 7)h
25 = 1/2(10)h
25 = 5h
h = 25 /5
h = 5 feets
M=-20/7. .........!!!!!!!!
