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Kay [80]
4 years ago
8

Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p

ut in the pen which has a perimeter that is equal to the area of its base. After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen. He also finds that the perimeter of the pen is 3 times greater than the perimeter of the doghouse.
If x represents the length of the pen and y represents the area of the doghouse, then which of the following systems of equations can be used to determine the length and width of the pen and the area of the doghouse?

Mathematics
1 answer:
Ad libitum [116K]4 years ago
3 0
I believe the answer is C, as it would fit all the criteria needed to have to answer a question like it, for example: The question must include what it equals (obviously) on one side, it must also have x^2, once again, all of them do. However, there must be + 3x to account for the longer side (if x=2 and one side is 3 feet wider than the length then 4+6=10, if x=3 then 9+9=18 and so on) which C, B, and D all have. Finally, there must be an account for y, which would require subtracting y from the total area, which is only in C.
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2 trifles cost £7<br> how much do 6 trifles cost
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Answer:

23

Step-by-step explanation:

multiply the cost by 3

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45 questions was how many she got right.
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A circular flower bed is 24 m in diameter and has a circular sidewalk around it 3 m wide. Find the area of the sidewalk in squar
Sholpan [36]

Answer:

120.105m^2

Step-by-step explanation:

Given data

Diameter of circular bed=  24+3m = 27m

radius= 27/2= 13.5 m

Diameter of side walk = 12

radius= 24= 12 m

Hence the area of the sidewalk is

Area= area of circular bed- area of side walk

Area=πR^2-πr^2

Area=π(R^2-r^2)

Area=π(13.5^2-12^2)

Area= 3.14(182.25-144)

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Area=120.105m^2

Hence the area of the side walk is 120.105m^2

7 0
3 years ago
Garry's boat sailed 42 miles in 4 hours. At this rate,how far did the boat sailed in 1 and a 1/2 hours?
kati45 [8]

It would be C)15.75 miles because you divide it to get 2 hrs and divide again to get an hour then again to get half and hour and you add on the last number and 2nd to last so.. 42/2 is 21/2 is 10.5/2 is 5.25 add 10.5 and 5.25 is 15.75 which is 15 and 3/4 miles :)).

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A noise level of a lawn tractor is approximately
Natali5045456 [20]

Answer:

Step-by-step explanation:

Since the noise level of a lawn tractor is approximately

normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = the noise level

u = mean noise level

s = standard deviation

From the information given,

u = 100 decibels

s = 3 decibels.

We want to find the probability that a randomly selected lawn tractor will generate a noise level of

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P(x > 105) = 1 - P(x ≤ 105)

For x = 105,

z = (105 - 100)/3 = 1.67

Looking at the normal distribution table, the probability corresponding to the z score is 0.9525

P(x > 105) = 1 - 0.9525 = 0.0475

3 0
3 years ago
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