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.
<span>n(30-14)-25=100
16n=125
n=7.8125 scarves a day, or 8 scarves a day must be sold, in order to make a profit of at least $100.!
I hope this helps!</span>
Answer:
F. 6 x 22
Step-by-step explanation:
- 6 has more than two factors ( 1, 6, 2, 3), which makes it a composite number.
- 22 has more than two factors (1, 22, 2, 11), which makes it a composite number.
- Therefore, F is the correct answer.
