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:
1.875.
Step-by-step explanation:
Step 1: Multiply the whole number by the denominator: 1 × 8 = 8.
Step 2: Add the product you got in Step 1 to the numerator: 8 + 7 = 15.
Step 3: Divide the sum from Step 2 by the denominator: 15 ÷ 8 = 1.875.
Answer:
Diameter = 2 Circumference = 2π
Step-by-step explanation:
The diameter of a circle is the radius*2 and the radius of a unit circle is 1 so the diameter is 2. The circumference of a circle is the diameter*π. Since you are allowed to express it in terms of π. Just leave it at 2π, though the actual value of π is approximately 3.14
The answer is $102 per night before tax is added. This is because tax adds up to $7.14.
Hope this helps!
