Lets make x equal the the age of the younger man and y equal the age of the older man.
You are given x+y=76 and you can make the equation 2x+16=y since we are told that the older one is 16 more than twice the age of the younger one. Since we have 2 equations and with the same variable and one has y already written in terms of x (y=2x+16) i will use substitution and make the given equaton all in terms of x.
x+(2x+16)=76 (solve this for x)
3x+16=76
3x=60
x=20
Then you can solve for y using the equation the equaion x+y=76 since we now know x=20.
20+y=76
y=56
Second equation is y=2x+16 (can also be written as y-2x=16)
x=20
y=56
I hope this helps. If anything is unclear or you just want further explanation please let me know in the comments.
I’m pretty sure the value is 80 because that’s a 90° angle. 90 minus that 10 leaves 80
Answer:


Step-by-step explanation:
We have to simplify the followings:
1)
=
{By distributive property of multiplication}
=
(Answer)
2)
=
{By distributive property of multiplication}
=
(Answer)
Answer:
3 hours and 45 minutes
Step-by-step explanation:
let's assume the tank has a volume of x liters.
let's assume the speed of filling it is x/6 liters per hour for A and x/10 liters per hour for B.
the formula to calculate the time is:
time = volume / speed
If the pumps work together, the total speed is x/6 + x/10, which is 16/60 x
So the time this takes is:
time = x / (16/60 x) = 60/16 hours = 3.75 hours = 3 hours and 45 minutes.