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Zigmanuir [339]
3 years ago
9

Mario wants to put a rectangular fence around the pool in his backyard. Since one side is adjacent to the house, he will only ne

ed to fence three sides. There is one long side parallel to the house, and two shorter sides. He needs 130 feet of fencing to enclose the pool. The length of the long side is 10 feet less than twice the width. Find the length and width of the pool area to be enclosed.
Mathematics
2 answers:
irina [24]3 years ago
6 0

Answer:

35ft, 35ft, and 60ft

Step-by-step explanation:

Marat540 [252]3 years ago
6 0

Answer:

The length and width of the pool area is:

  • Length = 60 feet.
  • Width = 35 feet.

Step-by-step explanation:

Since the 130-foot fence should enclose only three parts of the pool (two wide and one long), equations are performed to express the information provided.

First an equation that says the total feet in the fence:

  1. X + 2Y = 130 (where X is the length and Y is the width)
  2. X = 2Y-10 (since the length is 10 feet less than twice the width)

With these equations, we proceed to replace the second equation in the first one and solve for Y:

  • X + 2Y = 130
  • 2Y -10 + 2Y = 130
  • 4Y - 10 = 130
  • 4Y = 130 + 10
  • Y = 140/4
  • <u>Y = 35 feet</u>

Since we already know that the width corresponds to 35 feet, we use the second equation to find the value of X:

  • X = 2Y-10
  • X = 2 (35) -10
  • X = 70 - 10
  • <u>X = 60 </u>

With which it is identified that the length is 60 feet.

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Find the radius of each figure. round to the nearest tenth.
k0ka [10]

Answer:

8.25475 m

Step-by-step explanation:

pi*r^3 is the formula for a sphere.


Using this, pi is a nmber (about 3.14) and we only don't know the radius, but we know what it equals.


pi*r^3=1,767.1

First divide by pi, then get ride of the cube by cube rooting both sides.


The cube root of 1767.1/pi (remember to cube root both denominator and numberator!!!) is about 8.25475 m

6 0
3 years ago
The engine life for a certain brand of lawn mower is modeled by the function f(h) = 50 - 1 3 h where h represents hours used. Wh
Colt1911 [192]

Answer: C. Engine life decreases steady with time.

Step-by-step explanation:

4 0
3 years ago
If 2x + 5y = 21 and x + y = 3, then what is the solution
Viefleur [7K]
2x+5y=21, x+y=3
y=3-x
2x+5y=21
2x+5(3-x) =21
2x+15-5x=21
2x-5x+15=21
-3x+15=21
-3x=21-15
-x=6/3
-x=2
x=-2

8 0
3 years ago
According to a recent​ publication, the mean price of new mobile homes is ​$63 comma 800. Assume a standard deviation of ​$7900.
wolverine [178]

Answer:

a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are ​$63,800 and ​$1,580​, respectively.

b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are ​$63,800 and ​$1,117​, respectively.

Step-by-step explanation:

In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:

\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{n}

For n=25 we have:

\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{25}=7,900/5=1,580

The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.

This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.

If n=50, we have:

\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{50}=7,900/7.07=1,117

4 0
4 years ago
PLEASE HELP I believe you have to use substitution or elimination to solve the problem.
zepelin [54]

<u>Answer:</u>

Amount collected in 2012 = 3.49

and in 2013 = 3.35

<u>Explanation:</u>

Let x be the baggage fees collected in 2013 and

y be the baggage fees collected by airlines in 2012

From the given question we can obtain two equations as follows:

x + y = 6.84 $   - eq 1

and

y = 0.14 + x

as fees in 2012 exceeds that in 2013 by 0.14$

Now, solving these two equations by substitution,

we substitute  y = 0.14 + x in eq 1

and solve for x,

which gives us x = 3.35 and

substituting this value in eq 1

we get y = 3.49

6 0
3 years ago
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