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Semenov [28]
3 years ago
7

Jeremy is building a large deck for a community center. The deck is shaped as a rectangle. The width of the deck is 29 feet. The

perimeter of the deck is to be at least 134 feet.
a. Write an inequality that represents all possible values for the length of the deck.

b. Find all possible values for the length of the deck.
Mathematics
1 answer:
sasho [114]3 years ago
6 0
A.
P=2(L+W)
W=29
P is at least (means greater than or equal than ) 134

so
134≤2(L+29) is the inequality


B.
solve
divide both sides by 2
67≤L+29
minus 29 from both sides
38≤L
Length is any value greater than or euqal to 38ft
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The sides of the triangle occur in a ratio of 4 : 7 : 2, so if <em>x</em> is some positive number, then we can write each side's length in terms of <em>x</em> as 4<em>x</em>, 7<em>x</em>, and 2<em>x</em>.

The perimeter is 299 yd, so

4<em>x</em> + 7<em>x</em> + 2<em>x</em> = 299 yd

13<em>x</em> = 299 yd

<em>x</em> = (299 yd) / 13

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Then the sides of the triangle have lengths of

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"Median" here refers to the side length between the shortest and longest sides, so the answer would be 104 yd.

3 0
3 years ago
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12
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Answer:

Variable d represents the time per minute Lilianna spends in the park.

Step-by-step explanation:

Lilianna uses \frac{3}{4} calories per minute just by sitting. She uses 1 more calorie per minute by walking.

Liliana uses a total of 12\frac{1}{4} calories walking to the park.

Lilianna uses the equation, d(\frac{3}{4}+1)=12\frac{1}{4} to represent the situation.

Here, variable d represents the time per minute she spends in the park.

and is given as,

d(\frac{3}{4}+1)=12\frac{1}{4}

It can be written as,

d(\frac{3}{4}+1)=\frac{49}{4}

Solving for d,

d(\frac{3}{4}+1)=\frac{49}{4}

\Rightarrow d(\frac{3+4}{4})=\frac{49}{4}

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\Rightarrow d=\frac{49 \times 4}{4 \times 7}

\Rightarrow d=7

Thus, she spend d= 7 minutes total to the park.


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3 years ago
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Answer:

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