Step-by-step explanation:
Let x, represent the number of minutes and y represents the number of gallons of water in the tub, then the ordered pairs (2, 30) and (5, 12) satisfies the equation.
Therefore the equation is given by: (y - 30)/(x - 2) = (12 - 30)/(5 - 2)
(y - 30)/(x - 2) = -18/3 x = -6
y - 30 = -6(x - 2) = -6x + 12
y = -6x + 42
Required equation is y + 6x = 42.
U had to take a pic of the work so we could see it
Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
l-2+l=10
2l-2=10
2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
s=4
We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
Answer:
A 190-pound person would burn 285 calories at the same rate.
Step-by-step explanation:
<em>Calories burn depends on the weight</em>
<em>Weight of first person = 160</em>
Calories burn for 160 pounds in 30 mins = 237
Calories burn rate for 1 pound in 30 mins = = 1.5
<em>Calories burn for 190 Pound person would be:</em>
Weight of second person = 190
Calories burn for 190 pounds in 30 min:
As the burn rate of calories is same for the two persons:
= rate × weight
= 1.5 * 190
= 285 calories