Answer:
452.16 cubic units
Step-by-step explanation:
Volume of cylinder
We need to see your selection to chose from but <em>it would look something like the following
x = number of cakes
ff = 33x</em>
The answer that you should get is 5.4919
Answer:
Uh, I'm assuming you are trying to to say how much feet there was? If not im terribly sorry, But the feet walked would of been 399 If this is not what the question was, Please ignore my comment.
Step-by-step explanation:
To get the answer You need to subtract 566 from 965 and that makes 399 or -399
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)
