The first box should be correct
30 + c = 40
The equations we get are
l = 6 + 2w (We get this from "The length of the rectangle is 6 more than 2 times the width.")
and
2l + 2w = 140 (We get this from the perimeter. Two times the length plus two times the width equals the perimeter of a quadrilateral.)
The first equation can be written as
l - 2w = 6
So now we have
2l + 2w = 140
l - 2w = 6
____________
Add the two equations.
We get 3l = 146
Divide by 3 on both sides.
l =
48
Your answer is
48
.
First, isolate y:
2x - 3y = 6
-3y = -2x + 6
3y = 2x - 6
y = 2/3x - 2
That means that the line passes through the point (0, -2) and has a positive slope of 2/3. So it would be choice A because the line in choice A passes through the point (1, -2) and has a positive slope. Choice D also passes through the point (0, -2) but has a negative slope so it cannot be the correct answer.
Choice A is correct.
A = -16 b = 0 c = 541
Use the quadratic formula which is
x = [-b +- sq root (b^2 -4*a*c)] / 2*a
x = [-0 +-sq root (0 -4*-16*541)] / 2 * -16
x = + - sq root (0 -4*-16*541) / -32
x = + - sq root (34,624) / -32
x = + - 186.075 / -32
x1 = 186.075 / -32 =
<span>
<span>
<span>
-5.81484375
</span>
</span>
</span>
x2 = -186.075 / -32 =
<span>
<span>
<span>
5.81484375
</span>
</span>
</span>
Answer:
7 1/2 cups
Step-by-step explanation:
20 gallons is ten times 2 gallons.
Ten times the amount of water will require ten times the disinfectant (we assume).
... 10 × 3/4 cup = 30/4 cups = 7 1/2 cups