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Mila [183]
3 years ago
12

Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater

numbers is how much greater than the sum of the integers in the other set?
A. 4
B. 7
C. 8
D. 12
E. it cannot be determined from the information given.
Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0
If you have two sets of integers {1, 2, 3, 4} and {4, 5, 6, 7}, then the sum of each set is 10 and 22, respectively, with a difference of 12. Based on logic, we know that this applies to any numbers you choose that meet the criteria. Number theory offers a more formalized outlook on these concepts.

The answer is D.
Flauer [41]3 years ago
3 0
Try this explanation, using algebra principles:
1) let the 1st set consists of integers: x; x+1; x+2; x+3, then, according to the condition, the 2d set consists of integers: x+3;x+4;x+5;x+6. Note, in this case 'x+3' is common integer.
2) The sum of 2d set is (x+3)+(x+4)+(x+5)+(x+6)=4x+18; the sum of the 1st set is x+(x+1)+(x+2)+(x+3)=4x+6.
The difference between the set with greater number and the another set is:
(4x+18)-(4x+6)=12.
PS. the same result is, when 'x' is common integer.
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Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is %. write yo
Mrrafil [7]

Missing data:

Viewer's Age Group  Excellent Good Average Poor Marginal Total

16–25                          52                 42       12       7           113

26–35                          33                50         5       9          97

36–45                          58                 12       28      34         132

46–55                          25                17       22       12            76

56 +                               12                 5          3         8             28

Marginal Total             180               126      70      70           446

A rating of good or excellent indicates the audience liked the movie, while a rating of poor indicates the audience disliked the movie.

<h3>How to determine the rating of the film from the 46–55 age group?</h3>

A movie producer accomplished a survey behind a preview screening of her latest movie to estimate how the film would be accepted by viewers from various age groups. The table displays the numbers of viewers in various age groups who ranked the film excellent, good, average, and poor.

25/446 = 0.05605

0.05605 * 100% = 5.605%

Out of the entire respondents, the percentage of respondents from the 46–55 age group who ranked the film excellent exists at 5.605%.

To learn more about data refer to:

brainly.com/question/4219149

#SPJ4

3 0
2 years ago
a truck rental company charges $19.95 to rent a truck plus $0.24 per mile driven. Find the cost to rent a truck and drive 188 mi
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Emily is making bracelets for herself and 6 of her friends she needs 1/5 of a yard of string to make each bracelet. How much str
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I'm supposed to answer this word problem "Martin bought a television for $225. It had been on sale for 25% off. How much money d
garik1379 [7]

Answer:

<em>Martin saved $75 on the television because of the sale</em>

Step-by-step explanation:

<u>Equations</u>

Let's call x=the original price of the television (before discount).

The television had been on sale for 25% off, this means the discount was:

25% of x = \frac{25}{100}.x = 0.25x

The sale price was the original price minus the discount:

x - 0.25x = 0.75x

This is what Martin paid, thus:

0.75x = 225

Dividing by 0.75:

x = 225 / 0.75

x = $300

The original price of the television was $300, and the discount was:

0.25*$300 = $75

Martin saved $75 on the television because of the sale

4 0
3 years ago
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