Hello! I would love to help!
Alright, we need to add all the fractions the problem gives us in order to find the answer. However, first, we need to find a common denominator.
So, what number can 2, 4, and 3 all go into?
The lowest number is 12. So, let's call 12 our common denominator.
Now, let's turn all the fractions to 12 as the denominator.
3/4= 9/12
1/2= 6/12
1/3 =4/12
Okay! Let's add the new fractions!
9/12+6/12+4/12=19/12
Let's turn it into a mixed number!
1 7/12
That's the answer!
Hope this helps! Comment if you have any questions!
Answer:
y = 
x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = , then
y = x + c ← is the partial equation
To find c substitute (- 4, - 7 ) into the partial equation
- 7 = - 6 + c ⇒ c = - 7 + 6 = - 1
y = x - 1 ← equation of line
This problem can be solved by algebraic method.
Let
x = the total time spent of all clients in Plan A
y = the total time spent of all clients in Plan B
We represent two variables x and y because there are two plans that won't be happened simultaneously.
On Wednesday, the two workout plans have the total time of 6 hours. We equate
3x + 5y = 6
While on Thursday, the total time is 12 hours. We also equate
9x + 7y = 12
To find x and y, we can use the substitution method. For the first equation, we arrange it in terms of y, that is
5y = 6 - 3x
y = (6 - 3x)/5
Substitute it to the second equation:
9x + (7/5)(6 - 3x) = 12
9x + (42/5) - (21/5)x = 12
Multiply the equation by 5 to cancel the denominator:
45x + 42 - 21x = 60
45x - 21x = 60 - 42
24x = 18
x = 18/24 = 3/4 hours
For y:
3(3/4) + 5y = 6
9/4 + 5y = 6
Multiply the equation by 4 to cancel the denominator:
9 + 20y = 24
20y = 24 - 9
20y = 15
y = 15/20 = 3/4 hours
Hence, each workout plans are done within 3/4 hours (or 45 minutes).
