The carpenter makes 1/4 of the job per hour.
The assistant makes 1/6 of the job per hour.
When they work together, they make 1/4 + 1/6 = 6/24 + 4/24 = 10/24 = 5/12 of the job each hour.
Thus, it will take 12/5 = 2 2/5 hours = 2 hours and 24 minuets for them to finish the job working together.
The vertex of the function is at x = -3/2. We cannot find the y value with an incomplete equation.
To find the x value of a vertex, we use the equation -b/2a, in which a is equal to the coefficient of x^2 (in this case 1) and b is equal to the coefficient of x (in this case 3).
-b/2a
-3/2(1)
-3/2
This gives us that value. To find the y value, you would plug this into the equation. Since this equation is not complete, you cannot do that yet.
Answer:
Step-by-step explanation:
Let 
denote the length of the missing side. Since 
and 
share one vertex and 
, these triangles are similar. This means that:
We now multiply both sides by 
and solve the equation:
So we now simply get:
Step-kmgkrmbiiktgi5rkgirgirjgirjgrigriogjmriogmrigmiiiiiiiiiiiiiiiiiiiii
Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
6 = 2 x 3
15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
