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.
9.89%
You can get this number by multiplying the two together.
Answer:
17% , 15% , 6% , 10% , 40% , 6%
Step-by-step explanation:
You're going to have to divide the number of people who voted for those positions by the total number of people.
Adapting = 9 / 52 = 17%
Other = 8 / 52 = 15%
Yes = 3 / 52 = 6%
No = 5 / 52 = 10%
Absolutely = 21 / 52 = 40%
Maybe = 3 / 52 = 6%
Answer:
(- 7, - 4 )
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the turning point is
x = - 
y = x² + 14x + 45 ← is in standard form
with a = 1, b = 14 , then
x = - 
= - 7
Substitute x = - 7 into the equation and evaluate for y
y = (- 7)² + 14(- 7) + 45 = 49 - 98 + 45 = - 4
coordinates of turning point = (- 7, - 4 )
I will get you started.
Let sin x = u
Then 7sin^2x -14sinx+2=-5 become
7u^2 - 14u = - 5
7u^2 - 14u + 5 = 0
Steps:
1. Solve for u.
2. Back- substitute for u.
3. Take the arcsin on both sides to find the angle(s).
You finish.
