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ICE Princess25 [194]
3 years ago
9

What is the value of n in the equation –1/2(2n + 4) + 6 = –9 + 4(2n + 1)?

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

<h2>n = 1</h2>

Step-by-step explanation:

-\dfrac{1}{2}(2n-4)+6=-9+4(2n+1)\qquad\text{use the distributive property}\\\\\left(-\dfrac{1}{2}\right)(2n)+\left(-\dfrac{1}{2}\right)(-4)+6=-9+(4)(2n)+(4)(1)\\\\-n-2+6=-9+8n+4\qquad\text{combine like terms}\\\\-n+(-2+6)=8n+(-9+4)\\\\-n+4=8n-5\qquad\text{subtract 4 from both sides}\\\\-n=8n-9\qquad\text{subtract}\ 8n\ \text{from both sides}\\\\-9n=-9\qquad\text{divide both sides by (-9)}\\\\n=1

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It is 1/2 mile from a student's home to a store and back. In a week, she
worty [1.4K]

Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

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4 0
3 years ago
Can someone describe constant of proportionality pls
Luden [163]

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Step-by-step explanation:

6 0
3 years ago
consider the following scenario: Assume daily protein intake values in a population of athletes are known to have a standard dev
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Answer:

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Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

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Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

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Now, find M as such

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The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.

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3 years ago
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Answer:

<h2>0.45 </h2><h2 />

Step-by-step explanation:

<u>   2.70    </u>

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8 0
3 years ago
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