1/6 foot 0.16666667 ft
________ = ________________ = 0.50 ft/hr
1/3 hour 0.33333333 hr
A unit rate is identified as a rate with 1 in the denominator. Therefor, a garden snail moves 0.50 feet per 1 hour.
The correct answer is 19x-y=-5
Answer:
D. y = 4x + 9
Step-by-step explanation:
a line that passes through the point (-2, 1) and has a slope of 4
y = 4x + b
b = y - 4x
b = 1 - 4(-2)
b = 1 + 8
b = 9
So equation
y = 4x + 9
Answer:
Step-by-step explanation:
We are given the following:

and 
a). Recall that a level curve of a function f(x,y) is given by
where c is a constant. That is, all the points in the set of interest to which the function applied to the points is exactly the value c.
Consider c = 80. So we get
which implies that
(Graph 1).
We can also consider c=60, which gives us
which implies that
. (Graph 2)
b)Recall that the gradient of a function f(x,y) is given by

In this case,

Thus, the gradient of T is given by

We need 500 ml of alcohol mixture and 50 ml of water.
<u>Step-by-step explanation:</u>
The 50% concentration of the final solution is a result of mixing the 55% concentration with water, which is 0% concentration. Multiply the concentration of each liquid times the # of ml you will use, add these and divide by the total ml to get 50%
x = the number of ml of the 55% alcohol mixture
y = the number of ml of water
x + y = 550
Again, the 0 above represents the water which is 0% concentration
= 0.50
0.55 x = 275
x =
= 500
plug 500 into the equation x + y = 550
500 + y = 550
y = 50
Use 500 ml of the 55% solution and 50 ml of water.