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Monica [59]
2 years ago
14

Miguel's cat, Chester, weighs 6.8 pounds. Chester's vet tells Miguel to feed the cat 3 4 of an ounce of canned food daily for ea

ch pound of body weight. The next morning, Miguel opens a new can of food to feed Chester. If the can holds 5.5 ounces, how much food will be left after one day? Write your answer as a whole number, decimal, fraction, or mixed number. Simplify any fractions.
Mathematics
1 answer:
Vitek1552 [10]2 years ago
7 0

Answer:

0.4 ounces

Step-by-step explanation:

In a day

Miguel is to feed Chester ,

Chester can eat 3/4 of an ounce for each pound of body weight.

Chester weighs 6.8 pounds

Hence:

1 pound = 3/4 ounce

6.8 pounds = x ounces

Cross Multiply

x = 6.8 × (3/4) ounces

x = 5.1 ounces

Chester is to be fed 5.1 ounces of food each day.

The amount of food left after 1 day

= 5.5 ounces - 5.1 ounces

= 0.4 ounces

Hence, 0.4 ounces of food is left after 1 day

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Help this is due tomorrow please! Carter has 88 feet of fencing to enclose a dog pen in his yard. He is trying to decide whether
svet-max [94.6K]
<h3>Answer:</h3>

The circle makes the larger area

The difference in the two areas is roughly 132.2479 square feet.

=================================================

Explanation:

If Carter decides to go for a circle, then 88 is the circumference, which is the distance around the circle (aka perimeter of the circle).

Use this to find the radius needed

C = 2*pi*r

r = C/(2pi)

r = 88/(2pi)

r = 44/pi

I'll leave it in exact form rather than approximate it.

Once we know the radius, we can find the area of the circle.

A = pi*r^2

A = pi(44/pi)^2

A = pi*(1936/(pi^2))

A = 1936/pi

A = 616.247939651819 approximately

I used my calculator's stored version of pi to compute the area in the final step.

We'll be comparing this number later, so hold onto it for now.

-------------------------------------

If Carter instead decides for a square, then 88 is the perimeter since it's the amount of fencing he has to work with.

Divide it into 4 pieces to find the length of each side of the square (all sides are equal in a square)

88/4 = 22

Each side is 22 feet

The area of this square is (22)^2 = 22*22 = 484 square feet

--------------------------------------

Summary:

  • If Carter goes for a circular enclosure, then he gets roughly 616.2479 square feet.
  • The square enclosure only gets him exactly 484 square feet.

The circle wins in terms of larger area.

The difference being roughly 616.2479  - 484 = 132.2479 square feet.

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