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beks73 [17]
3 years ago
10

Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 18 feet. The perimeter of the dog run mu

st be at least 42 feet and no more than 72 feet. Use a compound inequality to find the range of values for the width of the dog run
Mathematics
1 answer:
ale4655 [162]3 years ago
6 0

Answer: 3\leq x \leq 18

Step-by-step explanation:

Given, the length of the rectangular dog run is 18 feet.

Formula: Perimeter = 2 ( length + width)

Let width be x.

Then, Perimeter = 2 (18 + x ) feet

The perimeter of the dog run must be at least 42 feet and no more than 72 feet.

That is  

42\leq 2 (x+18)\leq 72

Divide inequality by 2, we get

21\leq 18+x\leq 36

Subtract 18 from each side, we get

3\leq x \leq 18

Required inequality : 3\leq x \leq 18

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Let f(x)=3(12)x+1. Which is equal to f(1)?
aalyn [17]

Answer:

just substitute the value of x as 1

f(x)=3(12)x+1

f(1)=3(12)(1)+1

f(1)=3(12)(1)+1

f(1)=36+1

f(1)=37

5 0
3 years ago
Help asap pls and ty
BabaBlast [244]
The answer I got is (-6,-2) the x value is -6
7 0
3 years ago
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Help asap will give brainliest
ArbitrLikvidat [17]

<u>Answer:</u>

• Equation = 2(\frac{7}{4}w  + w) = 176

• length = 56 ft

• width = 32 ft

<u>Step-by-step explanation:</u>

The ratio of the length to width is 7:4.

∴ \frac{l}{w} = \frac{7}{4}

⇒ l = \frac{7}{4} w                 [Equation 1]

We know that the perimeter of the garden is 176 feet.

∴ 2(l + w) = 176

⇒ 2(\frac{7}{4}w  + w) = 176

⇒ \frac{7}{4} w + w = 88        [From Equation 1]

⇒ \frac{7 w + 4w}{4}  = 88

⇒ \frac{11w}{4} = 88

⇒ 11w = 352

⇒ w = \bf 32 \space\ ft

We know from Equation 1 that:

l = \frac{7}{4} w

∴ l = \frac{7}{4} (32)

⇒ l = \bf 56 \space\ ft

7 0
2 years ago
The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x
DaniilM [7]

Answer:

The equation x = y-8

The equation  (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step(l)</u>:-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given  data        x y = 240 …(l)

Given data the first number is 8 less than the second number.

                       x = y-8...(ll)

Substitute (ll) in equation (l) , we get

                           (y-8) y = 240

                           y^{2} -8y -240 =0

                            y^{2} -20y+12y -240 =0

                           y(y -20)+12(y -20) =0

                           (y +12)(y -20) =0

                          y = -12 and y = 20

              Y= -12 is not satisfied

              we can choose y = 20

<u>Step(ll):</u>-

Given data x =y-8

  substitute value y = 20 in x = y -8

                                             x = 20-8 = 12

<u>Final answer</u>:-

The first number x = 12 and second number y =20

4 0
3 years ago
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Fittoniya [83]
The answer is 540 m2 hope this helps
7 0
3 years ago
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