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:
a, (x-3/7)=2/3(3/2x-9/14), and c, 12.3x – 18 = 3(–6 + 4.1x).
Step-by-step explanation:
i just answered that question
Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.
Cross multiplying and solving will get you this:
Which can simplify to:
Which putting into a calculator gets you:
So the line PR is 6.2 units long.
Answer:
A2: 4*4*4 = 64 cm³; 6*6*6 = 216 cm³; etc...
B2: 7*4.5*4 = 126 cm³; 10.5*6*2 = 126 cm³; etc...
Step-by-step explanation:
So in A2 you have cubes, so l=b=h, and only one has to be given, called the "length of side".
In B2 they are different, hence there are 3 rows with l, b and h. But still you multiply them l x b x h
