Short answer: C
Let's start with the pen.
The length is x
The width is 3 more.= x + 3
Perimeter of the pen = 2L + 2W
P = 2 L + 2W
P = 2*x + 2(x + 3)
P = 2x + 2x + 6
P = 4x + 6. Leave that for now.
Area of the pen without the doghouse = x(x + 3)
Area of the pen without the doghouse = x^2 + 3x
Area with the doghouse x^2 + 3x - y = 178 (that's his running around space.
Go to the dog house for a Moment
The perimeter of the doghouse and the area are equal and we are told to make them both y.
Area = y
Perimeter = y
Combined facts.
The perimeter of the Pen is three times larger than that of the dog house.
4x + 6 = 3y
The area of the Pen - The area of the doghouse = 178
x^2 + 3x - y = 178
Now what happens is that you have to juggle these two equations so they look like your answer
x^2 + 3x - y = 178
4x + 6 = 3y Subtract 3y from both sides.
4x - 3y + 6 = 0 Subtract 6 from both sides.
4x - 3y = - 6
Answer C
Answer:
she can fill 42 6-ounce glasses with the punch mixture
Step-by-step explanation:
1 cup = 8 ounces
15 cups = 120 ounces
132+120 = 252 ounces of punch mixture
252/6 = 42
42 glasses (each glass 6 ounces)
Answer:
13/16
Step-by-step explanation:
First, write 1 3/13 as a fraction.
1 3/13 = 1 + 3/13 = 13/13 + 3/13 = 16/13
The reciprocal of 16/13 is 13/16.
Answer: 13/16
$50 = $625 (r)(4), so r = 50 / (4*625) = 0.02. This is 2% annually.
