100 miles ............... 2 hours
x miles ................1 hour
x = 100 m / 2 h = 50 m / h
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:
slope of parral line is same as slope of line its 1
Answer:
14
Step-by-step explanation:
11 - n = -3
-n = -3 - 11 = -14
n = 14
OR
add n to both sides of equation and add 3 to both sides of equation:
11 - n + n + 3 = -3 + n + 3 ----> n = 14
Slope = -4/5
to calculate the slope m use the gradient form
m = y2 -y1
————
x2 - x1
let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)
m = 5 - 1 4
———- = ——-
-2 - 3 -5
= - 4/5
