34 inches have the same length of 0.0008636 kilometers.
Answer:
26
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
so:
30 + 2w - 8 = w + 48
22 + 2w = w + 48 export like terms to the same side of the equation
2w - w = 48 - 22 subtract
w = 26
24 = 2³ × 3
64 = 2³ × 2³
88 = 2³ × 11
So, the common factors are : 1, 2 , 4, 8
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.
To find the average number of customers for dinner, use the simple ratio of 5 lunch customers for every 8 dinner customers.
Because there are 40 lunch customers, this is eight groups of five lunch customers. This means you will need 8 groups of 8 dinner customers to make it equivalent.
8 x 8 = 64
There is an average of 64 customers for dinner.
