3)The original rational number was 17/12.
4)The age of Ruby and Reshma are 20 and 28 years respectively.
Explanation:
3)Let the numerator be x.
So denominator will be (x - 5)
If we add 5 to numberator then it will be (x + 5)
New number is (x + 5)/(x - 5)=11/6
Solve for X by cross multiplying
6(x + 5)=11(x - 5)
6x + 30=11x - 55
5x=85
x=17
So original rational number was 17/12.
4)The ages of Ruby and Reshma are in the ratio 5:7
So, let the present ages of Ruby and Reshma be 5x and 7x respectively.
Also, it is given that four years from now the ratio of their ages will be 3:4
So, the equation - 5x + 4 / 7x + 3 = 3/4
⇒4(5x+4)=3(7x+4)
⇒20x+16=21x+12
⇒21x−20x=16−12
⇒x=4
⇒5x=20 and 7x=28
The age of Ruby and Reshma are 20 and 28 years respectively.
Answer:
34/112 or 17/56
Step-by-step explanation:
( total 12 graders + total swim team ) - (12 grade and swim team)
26/112 + 16/112 - 8/112
42/112 - 8/112
34/112
Answer:
240 m³
Explanation:
The volume of a pyramid is equal to:
Where B is the area of the base and H is the height of the pyramid.
Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:
Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:
Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:
Therefore, the volume is 240 m³
Answer:
Height of cone (h) = 14.8 in (Approx)
Step-by-step explanation:
Given:
Radius of cone (r) = 6 in
Slant height (l) = 16 in
Find:
Height of cone (h) = ?
Computation:
Height of cone (h) = √ l² - r²
Height of cone (h) = √ 16² - 6²
Height of cone (h) = √ 256 - 36
Height of cone (h) = √220
Height of cone (h) = 14.832
Height of cone (h) = 14.8 in (Approx)
