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marshall27 [118]
1 year ago
13

Jay is hanging 160 feet of Christmas garland on the three sides (two on the width and one on the length) of fencing that enclose

his rectangular front yard. The length is eight feet less than four times the width. Find the length and width of the fencing.
Mathematics
1 answer:
Setler [38]1 year ago
3 0

The length of the fencing is 62.4 feet.

The width of the fencing is 17.6 feet.

Given,

The measurement of the Christmas garland = 160 feet

The width of the fencing = w

The length of the fencing, l = 4w - 8

We have to find the length and width of the fencing.

Here,

Perimeter can be taken as 160. Because garland will cover the entire fencing.

Perimeter = 2(l + w)

160 = 2(4w - 8 + w)

160 = 2(5w - 8)

160/2 = 5w - 8

80 + 8 = 5w

88/5 = w

width = 17.6 feet

Now,

l = 4w - 8

l = 4 × 17.6 - 8

l = 70.4 - 8

length = 62.4 feet

That is,

The length of the fencing is 62.4 feet.

The width of the fencing is 17.6 feet.

Learn more about perimeter here:

brainly.com/question/13023749

#SPJ1

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solmaris [256]

The interval for mean sale price is $582

According to statement

The given rates are 560, 468, 685, 534, 658, 593

Now,

Sample mean = X / n

Put the values in it and then

(560+ 468+ 685+ 534+ 658+ 593) / 6 = 582.1667

and use this formula S = sqrt [ X2 - n 2 / (n-1) ]

and put the values in these and

S = sqrt [ X2 - n 2 / (n-1) ] = 95.97179

So, The interval for mean sale price is $582

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6 0
2 years ago
A package weighs 80 ounces. What is the weight of the package in pounds?
Degger [83]

Answer:

5

Step-by-step explanation:

1 ounce = 0.0625

0.0625 x 80 = 5

3 0
2 years ago
A submarine is 105 ft below the surface of the water, and it begins to ascend at a rate of 3 ft per min. After how many min will
guapka [62]

Answer:

7 2/3 minutes

Step-by-step explanation:

We can write this equation in y = mx+b form

where m = 3 ft/min and b = -105 ft  

x is the number of minutes and y is the depth

y = 3 * x -105

We want to find when y = -82

-82 = 3x -105

Add 105 to each side

-82+105 = 3x-105+105

23=3x

Divide by 3

23/3 = 3x/3

23/3=x

Changing into a mixed number

3 goes into 23  7 times with 2 left over

7 2/3 minutes

4 0
3 years ago
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sa
Helga [31]

Answer:

The answer is "It would decrease, but not necessarily by 8%".

Step-by-step explanation:

They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.

6 0
3 years ago
In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4.<br> What is the length of a diagonal?
slega [8]

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

6 0
3 years ago
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