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Airida [17]
3 years ago
12

Twice the sum of consecutive numbers n and n + 1 is 510. What is the smaller number?

Mathematics
1 answer:
guajiro [1.7K]3 years ago
4 0

Answer:

The smaller number is 127

Step-by-step explanation:

Lets write the given problem in equation form

sum of consecutive numbers n and n + 1 = n + n + 1 = 2n + 1

now we find twice of the sum of consecutive numbers n and n + 1

2*(2n + 1) = 4n + 2

given that

twice the sum of consecutive numbers n and n + 1 is 510

thus,

4n + 2 = 510

=> 4n = 510 -2 = 508

=> n = 508/4 = 127

Thus, the numbers are n = 127

n+1 = 127 + 1 = 128

the smaller number is 127

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N divided Into 8 is what
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Answer:

\frac{N}{8}

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7 0
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In science class, Paul estimates the volume of a sample to be 37 mL. The actual volume of the sample is 39 mL. Find the percent
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Answer:

the answer is 5.1%

Step-by-step explanation:

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F(x)=x^2-x-1 What is the average rate of change of f over the interval -1<=x<=1
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We find slope with the following equation:

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In this case, we are looking for the slope from x = -1 to x = 1. We have both x values, so next we need the y values.

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6 0
3 years ago
The dot plots below show the runs scored in each of the first games of the season by the Hawks and the Eagles. Runs Scored (Ha R
omeli [17]

Answer:

Part B: 8 and 2 (more answers ofc)

Part C: Two more dots on 6 (more than one answer tho)

Step-by-step explanation:

<em>Part B:</em>

The added number of dots is 39 at the beginning and the mean is 3.9. (39/10). Since we have to add 2 dots the equation will be (<em>39 + ? + ?) / 12 = Less than 3.9</em>. We also need the range to increase. This means that one of the blanks must be larger than 7 (the largest dot on the dot plot!) I just went with 8 to keep the mean as small as possible. This leaves 1 more blank to figure out. There are multiple answers to this problem but I went with 2 just because then the mean would be 3.5 a better answer than something like 3.58333333333.

<em>Part C:</em>

If you think about it all the dots added up should be 6x12 = 72. Currently all the dots add up to 60. 72-60 is 12. This means that 12 is equal to 2 dots. I guess you could also do 5 and 7, 8 and 4, etc.

G'day

-birb

4 0
2 years ago
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