When graphs are plotted, graphs as in the .jpeg image in attachment are obtained.
First graph is line going through ordered pair (point) (0,6) and pair (6,8).
The second graph is line going through ordered pair (6,8) and pair (8,0).
Intercept of these graphs is point (ordered pair) (6,8).
You see from the .jpeg image that the following is true:
Initial velocity of the runner is 6 meters per second (runner starts with this velocity), for a while he runs, velocity grows, then in the 6th second (time=6), runner starts to slow down and velocity starts to decrease, and runner stops totally at time = 8.
So runner stops after 8 seconds.
The 4th claim (sentence) is correct.
X = -44
y = -30
Solve for y in equation 1.
Plug in the new value for y into equation 2 to solve for x.
Next, plug your x value into either equation to find y. You can choose either, but I picked the 1st equation.
Check out pic!
Answer:
I don't know if I understand
let's label each pump A, B, and C, just for convenience. A fills the tank by 1/50 every minute, B fills the tank by 1/60 every minute, and C drains it by 1/75 every minute. Now we can put them all into one function: t(1/50 + 1/60 - 1/75) = 1, where t = our time in minutes and 1 = the tank being full.
next, we solve for t: t = 300/7 minutes, or approximately 42.86 minutes.
Answer:
$1.5 and $8.75
Step-by-step explanation:
Given data
let tables be x and chairs be y
The total cost to rent 3 chairs and 2 tables is $22
so
3x+2y=22----------1
The total cost to rent 5 chairs and 6 tables is $60
so
5x+6y=60---------2
the system of equation is
3x+2y=22----------1X 6
5x+6y=60---------2X 2
18x+12y= 132
- 10x+12y=120
8x+0y= 12
8x= 12
divide both sides by 8
x= 12/8
x=$1.5
put x= 1.5 in 2
5(1.5)+6y=60---------2
7.5+6y=60
6y=60-7.5
6y=52.5
divide both sides by 6
y= 52.5/6
y=$8.75