So if you distribute 4 in the first parentheses, you get 12x+20y+8z.
Then you distribute 3 in the second parentheses. You'll get 3x-3z. That all equals 12x+20y+8z+3x-3z.
Now you have to start combining numbers with the same variable. Start with x. 12x+3x is 15x.
y has no other common variable, it's left alone.
8z-3z is 5z
All together now with the numbers in simpler form, the equation is 15x+20y+5z
Jenna's would be the right answer because when you distribute 5 in her answer you get 15x+20y+5z
To solve this, you can substitute the second equation into the first.
It becomes 2x-(2x+3)=7
Solve from here!
You get -3=7. Not possible. Therefore there is no solution to this system.
System is inconsistent. Hope this helps.
Answer:
3 times
Step-by-step explanation:
She has 1 1/2 hour to spend in the gym.
1 hr = 60 minute
1/2 of an hour
= 1/2 * 60
= 30 minutes.
In total, she spends 90 minutes in the gym.
If 1/3 of an hour is meant in running, it translates into;
1/3 * 60 = 20 minutes
If 1/6 of an hour is spent in weight-lifting, it translates into;
1/6 * 60 = 10 minutes
In total, she spends,
20 minutes + 10 minutes = 30 minutes for both activities.
To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.
= 90 minutes/30 minutes
= 3 times for each cycle.
Answer:
Step-by-step explanation:
Use Distance Formula
Substitute
Simplify
Simplify
Add