2 Gallons. 4 Quarts go Into 1 Gallon
Answer:
y=x+3
Step-by-step explanation:
The equation "y=x+3" cannot be written in the form y=kx because <u><em>the form </em></u><u><em>doesn't use addition</em></u><u><em> as a basic operation.</em></u> Let's try verifying the choices:
y=x is possible<em> </em>if the value of k is 1, provided that both y and x are of the same value.
y/2=x is possible because y=2x, provided that 2 is the value of k.
y=-1/10x is possible because -1/10 is the value of k. This is just the same with y=kx.
Answer:620
Step-by-step explanation:
The radius of a circleis part of the circumference formula: C = 2 pi r.
So we rearrange the formula: r = c/2 pi.
Now we have to figure out the circumference. If the outside of the circle is 12 cm for 17degrees, then17 degrees x what is 360 degrees? 360 divided by 17 is 21.2. So the 12 cm should be multiplied by 21.2, to give 254.1cm. This is our circumference.
Now we do r = 254/2 pi.
r = 40.46cm.
It is helpful to know several forms of the equation of a line. One that is often overlooked is the intercept form.
.. x/(x-intercept) +y/(y-intercept) = 1
The boundary conditions for your inequalities can be written as the lines
.. x/20 +y/20 = 1
.. x/24 +y/15 = 1
The first inequality will be bounded by the line that has x=20 and y=20 as its x- and y-intercepts. The second inequality will be bounded by the line with x=24 and y=15 as its x- and y-intercepts. Since the inequality conditions include the "or equal to" case, the graphed boundary line will be solid, not dashed. (All but the first graph have these lines properly shown.)
The region shaded for each inequality will be the half-plane (or its portion in the first quadrant) where the x- and y-values make the inequality true. For this problem, that is values of x and y to the left/below the line in both cases. Graph (c) shows where these "feasible regions" overlap, so is the correct choice.
