Answer:
<span>y ≤ 0.13x² + 0.38x
</span>y ≤ 766.33 - 2.90x² - 8.69x
Your question doesn't say which are the systems of inequlities, but we can find the correct one.
We can call:
x = width of the grass
y = radius of the dispenser
Now, let's translate into mathematical language the statements given in the question:
- "the length of the grassy area for the lion must be 3 feet greater than its width":
l = x + 3
- "the area of the grass must be at least 8 times greater than the radius of the parakeets' food dispenser":
A ≥ 8 · y
The area of a rectangle is given by:
A = l · w = (x + 3) · x
therefore, we can write the first inequality:
(x + 3) · x ≥ 8 · y
x² + 3x ≥ 8y
and solving for y:
y ≤ 0.13x² + 0.38x (rounded to two decimal digits)
- "The food dispenser for the parakeets is … 4 feet tall. It is exactly half-way full" means that the empty height of the dispenser is:
h = 4 : 2 = 2 ft
- "The cost of the parakeets' food is $0.49 times the length of the radius for every foot of height of food missing from the dispenser":
P = 0.49 · y · h
<span> = 0.49 · y · 2
</span>= 0.98y
- "They could put the grass in the lion's habitat for $2.84 per square foot of grass":
G = 2.84 · A
= 2.84 · (x² + 3x)
= 2.84x² + 8.52x
- "Andrea cannot spend more than $751.00 on both projects":
P + G ≤ 751.00
We can now write the second inequality:
(0.98y) + (2.84x² + 8.52x) ≤ 751.00
Solving for y:
0.98y + 2.84x² + 8.52x ≤ 751.00
0.98y ≤ 751.00 - 2.84x² - 8.52x
y ≤ 766.33 - 2.90x² - 8.69x (rounded to two decimal digits)
Answer:
Discount:
$2.85
final price
$54.15
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 57 × 5/100
Discount = 57 x 0.05
You save = $2.85
Final Price = Original Price - Discount
Final Price = 57 - 2.85
Final Price = $54.15
1. Work out difference between the two numbers you are comparing and divide the decreased number by using the original number.
2. Multiply by 100
3. If it is negative, then this will indicate that it is a percentage increase. However, if it is positive, it is the percentage decrease,
I hope this helped.
Answer cannot be simplified but u would get 7.549