Answer:
y ≥ 4x
y ≤ 8.75 –1/2πx^2
Step-by-step explanation:
Because the diameters of the gravel bases added together cannot exceed the width of the pen, we get the inequality 2x + 2x ≤ y . Rewriting, we get y ≥ 4x as the first inequality in the system.
Next, write an inequality for cost.
To write the expression for the cost of the fencing, find the perimeter of the rectangle, and multiply the perimeter by the cost per foot of fencing. The pen is a rectangle, so the perimeter is 2(10) + 2(y), or 20 + 2y. Multiply the cost of the fencing material ($4.00 per foot) by the perimeter of the fence to get 4(20 + 2y).
Now, write an expression for the gravel bases for the circular food containers. Because A = r2 and the cost of the gravel is $2.00 per square foot, multiply the cost of the material by the sum of these areas to get 2(x2) + 2(x2).
The total cost must be less than or equal to $150. So, we can say that 4(20 + 2y) + 2(x2) + 2(x2) ≤ 150. After simplifying and solving for y: y ≤ 8.75 – x2.
So, this is the system:
y ≥ 4x
y ≤ 8.75 –1/2πx^2
Answer:
- <u>Your friend will win the race due to speed.</u>
Explanation:
<em>Looking at the image, if both friends had ran at the same speed rate, the match would've ended as a draw because the distance was equal. However, my friend had ran faster than I did, therefore, my friend would've won the race due to speed.</em>
Hoped this helped.
zero-dimensional - point
one-dimensional figures - ray, segment, line
Answer:
The value of x = 6
Step-by-step explanation:
8x - 13 = 11 + 5x
collect like terms on either sides
8x - 5x = 11 + 13
3x = 24
x = 24/3
x = 6
The discount off is $10, so the price would be 30 dollars
