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Tems11 [23]
3 years ago
13

-80 multiplied by an unknown number is 162

Mathematics
1 answer:
USPshnik [31]3 years ago
8 0
The unknown number would be -2.025
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Is it possible to arrange 152 books on a shelf so that the first shelf has 7 fewer books than the second shelf and 11 more than
Zepler [3.9K]

Using a system of equations, it is found that <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.

For the system, we consider that:

  • x is the number of books on the first shelf.
  • y is the number of books on the second shelf.
  • z is the number of books on the third shelf.

In total, there are 152 books, hence:

x + y + z = 152

The first shelf has 7 fewer books than the second shelf, hence:

x = y - 7

Also, it has 11 more books than the third shelf, hence:

x = z + 11

Then:

y - 7 = z + 11

z = y - 18

Then, replacing in the first equation:

x + y + z = 152

y - 7 + y + y - 18 = 152

3y = 177

y = \frac{177}{3}

y = 59

The number of books in each shelf has to be countable, that is, cannot be decimal.

  • Then, <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.

To learn more about system of equations, you can take a look at brainly.com/question/14183076

7 0
2 years ago
Which function is an odd function?
Alinara [238K]
I think the answer is the first one, because it needs to be negative.  <span />
6 0
4 years ago
Read 2 more answers
What is the length of a kite string that is 6 meters above and 9 meters away from where it is being held? Round to the nearest t
ivann1987 [24]

Answer:

10.8 meters

Step-by-step explanation:

This situation forms a right triangle, where the length of the kite string is the hypotenuse, the distance from where it is held is the long leg, and the height is the short leg.

Use the pythagorean theorem to solve for c, the length of the kite string.

a² + b² = c²

6² + 9² = c²

36 + 81 = c²

117 = c²

10.8 = c

So, the length of the kite string is 10.8 meters

7 0
3 years ago
The 2011 gross sales of all firms in a large city have a mean $2.5 million and a standard deviation of $0.6 million. Using cheby
SCORPION-xisa [38]
The mean :  2.5 million
S D = 0.6 million
2.5 - 2 · 0.6 = 2.5 - 1.2 = 1.3 million
2.5 + 2 · 0.6 = 2.5 + 1.2 = 3.7 million
Chebyshev theorem : at least 3/4 of the data lie within 2 standard deviations of the mean.
Answer:
At least 75 % of all firms.
3 0
3 years ago
20 POINT QUESTION. EXPLAIN HOW YOU GOT THE ANSWER THANK YOU. I WILL MARK AS BRAINLIEST.
bulgar [2K]
You'll multiply the both incomes and then reduce them to the lowest form.

1/10 * 2/9 = 2/90

Reduce it:

2/90 = 1/45

So the assistant gets 1/45 the income of the athlete.

Hope this helps :)
8 0
4 years ago
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