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VARVARA [1.3K]
3 years ago
8

The length of a rectangle is 3 feet more than twice the width. The perimeter is 128 feet. Find the length and width.

Mathematics
1 answer:
iragen [17]3 years ago
7 0
We are going to consider a rectangle with length called "a" and width "b"  Then we know that perimeter is the sum of both sides 2*a + 2*b = 128  And also the following equation given by the question: a = 2*b + 3  So solving the first equation: 2*(2*b+3) + 2*b = 128 4*b+6+2*b=128 6*b = 122 b = 122/6 = 61/3  Then a=2*122/6+3 = 244/6+3 = 262/6 = 131/3  Solution:  Length = 131/3 Width = 61/3
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Hello! The question simplified is 4x + 14. This is because when you have a negative symbol in front of the numbers you need to distribute, you change the numbers inside into the opposites, and then multiply by -1. When you do this, you get 3 + 4x + 5 + 6. When you combine like terms, you get 4x + 14. The answer is B: 4x + 14.
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You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return
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Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

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R is rate (speed)

T is time

First Leg:

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Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

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Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = \frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6} miles

Since both the distance are equal we can equate and solve:

\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3

Plugging this x = 3 into the total distance expression, we get:

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Answer:

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The hypothesis of an ANOVA test for <em>n</em> homogeneous groups is:

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In this case the researcher is testing whether the mean bone mineral density is different for the three different groups.

The hypothesis for this test can be defined as follows:

<em>H</em>₀: The mean bone mineral density is not different for the three different groups, i.e. <em>μ₁ = μ₂= μ₃</em>

<em>Hₐ: </em>The mean bone mineral density is different for the three different groups, i.e. at least one of the means is different.

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