The ratio of their age is 3:7.
Step-by-step explanation:
Given,
10 years ago, the ratio of two brothers was 1:4
After 14 years the ratio will be 4:7
To find the ratio of their present age.
Let,
10 years age their age was x and 4x
So, now their age is (x+10) and (4x+10)
14 years from now their age will be (x+10+14) and (4x+10+14)
That is x+24 and 4x+24
According to the problem,
x+24 : 4x+24 = 4:7
or, 
or, 7(x+24) = 4(4x+24)
or, 7x+168 = 16x+ 96
or, 16x-7x = 168-96
or, 9x = 72
or, x = 8
Hence,
Their present age is (8+10) and (4×8+10) = 18 and 42
Hence,
The ratio of their age is 18:42 = 3:7
V = length x width x height
In this problem:
length = 3
width = 3
height = 6
V = 3 x 3 x 6
V = 54 ft^3
Hope this helps!! :)
Answer:
Yes
Step-by-step explanation:
Adding to both sides of the equation will keep both sides equal
Answer:
a. 
b. x = 10
Step-by-step explanation:
a. The number of home runs hit by Jack last season = x
It is given that Henry hit 3 more than half as many home runs as Jack hit.
Half of the runs hit by Jack = 
3 more than half the runs = 
So, the number of home runs hit by Henry =
But, it is given that Henry hit a total of 8 runs.
Therefore,
b.
Subtract 3 from both sides.
= 5
x = 5 × 2
= 10
Hence, Jack hit 10 runs in the last season.
Answer:
1131.0 m^3
Step-by-step explanation:
Let h1 represent the height of the top cone, and h2 the height of the bottom cone. The volume of a cone is given by the formula ...
V = (1/3)πr^2·h
so the volumes of both cones together will be ...
V = (1/3)πr^2·h1 + (1/3)πr^2·h2 = (1/3)πr^2·(h1 +h2)
= (1/3)π(6 m)^2(12 m + 18 m) = 360π m^3
≈ 1131.0 m^3
