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Harrizon [31]
3 years ago
14

the length of a rectangle is 5 minutes longer than its with if the perimeter of the rectangle must be at least 34 units what are

the possible lamps of the rectangle right in any quality to represent the problem then solve the inequality​
Mathematics
1 answer:
stealth61 [152]3 years ago
7 0

Answer:

w ≥ 6

l ≥ 11

Step-by-step explanation:

The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.

34 ≤ 2*(5+w) + 2w

34 ≤ 10+2w+2w

34 ≤ 10+4w

24 ≤ 4w

6 ≤ w

This means the width must be at least 6 so the solution is w ≥ 6.

To find the length substitute 6 into l ≤ 5+w.

l ≤ 5 + 6

l ≤ 11

The length is l ≥ 11.

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3 years ago
Alonzo takes 12 minutes to run 6 times around a 400-meter track. Assuming he runs at a constant speed, how long does he take to
snow_lady [41]

Answer:

5 minutes to run 1 kilometer

Step-by-step explanation:

Alonzo takes 12 minutes to run 6 times around a 400-meter track.

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2400 meters = 2400/1000 = 2.4km

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Now we find our constant speed

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divide by 12 on both sides

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3 0
3 years ago
3/4 (x - 3) - 5 = 1/8 ( x - 1 )
KonstantinChe [14]

Answer:

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Step-by-step explanation:

\frac{3}{4} (x - 3) - 5 = \frac{1}{8} (x - 1)

Multiply through by 8 to clear the fractions

6(x - 3) - 40 = x - 1 ← distribute parenthesis and simplify left side

6x - 18 - 40 = x - 1

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x = - \frac{57}{5}

3 0
2 years ago
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SpyIntel [72]

Answer:15.741

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Hope it helped!

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3 years ago
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