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hichkok12 [17]
3 years ago
6

Under what operations are the set of integers closed? Explain your answer.

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0
Addition, subtraction, multiplication.

Addition: The addition of two integers produces another integer.

Subtraction: The subtraction of two integers produces another integer.

Multiplication: The product of two integers is an integer.

Division between two integers can produce a rational number that is not in the set of integers e.g. 1/3

This only includes the four basic arithmetic operations, you can include exponentiation and the modulo operation if you want to for the same reasons as above.
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Graph the system by using technology. What is the y-coordinate of the solution?
son4ous [18]
Take second equation here, 
2x + 9 = -12
2x = -12 - 9
2x = -21
Multiply by 2, 
4x = -42

Now, substitute the vaue of 4x in 1st equation, 
-42 - y = 2
-y = 2 + 42
y = -44

In short, Your Answer would be -44

Hope this helps!
3 0
4 years ago
Mark and Julio are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of croc
ikadub [295]

Answer:

Bag of windflower bulbs costs $8.50

Package of crocus bulbs costs $17.60

Step-by-step explanation:

Let $x be the price of one bag of windflower bulbs and $y be the price of one  package of crocus bulbs.

1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,

2x+5y=105

2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,

9x+5y=164.50

3. You get the system of two equations:

\left\{\begin{array}{l}2x+5y=105\\ \\9x+5y=164.50\end{array}\right.

From the first equation

5y=105-2x

Substitute it into the second equation:

9x+105-2x=164.50

7x=164.50-105

7x=59.5

x=$8.50

So,

5y=105-2·8.5

5y=105-17

5y=88

y=$17.60

5 0
3 years ago
Solve for x to the nearest 10th.<br> 410 = 1080(0.915)^x
Hunter-Best [27]

Answer:

410/1080=(0.915)^x

0.379=(0.915)^x

ln0. 379/ln0.915=x

X=10.903

4 0
3 years ago
Mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent commission. Instead of rece
Yuliya22 [10]
In this question the first thing that needs to be determined is the commission taken by the pizza shop and the amount of money that falls in the part of Mindy.
We already know that Mindy sells the piece of art for $15 and the pizza shop takes 15% commission on it.
Then
Commission taken by the pizza shop = (15/100) * 15
                                                             = 225/100
                                                             = 2.25 dollars
So the pizza shop takes a commission of $2.25 from the sales of each art piece from Mindy.
Then amount that falls in Mindy's part = (15 - 2.25) dollars
                                                             = 12.75 dollars
Now Mindy is not taking the money but taking a pizza worth rupees $12 including 5% sales tax.
Initially it looks like Mindy is making a profit of $0.75 plus the pizza worth $12. So it is a fair deal for Mindy. Now coming to the part of the pizza shop owner, we find that he also gains extra $2.25 from this deal. So it is a fair deal for both the shop keeper and Mindy.
4 0
3 years ago
Read 2 more answers
Write a short para based on how the pandemic has affected travelling.
kozerog [31]

Answer:

Unlike many of history’s great tragedies, the coronavirus pandemic never stunned us with one catastrophic event. Instead, the deadly problem quietly snaked its way around the world, devastating millions as it grew into a global health crisis since it first surfaced in November.

Our realities shifted slowly at first, and before we knew it, the coronavirus took over completely.

As we closed borders, canceled events and self-quarantined at home on a mass scale, the travel industry, as well as most other sectors, began to nosedive. The collective effort to save lives meant economic catastrophe for an industry that profits from people leaving their houses.

The wound inflicted by the pandemic on the travel industry is deep, and it hasn’t stopped bleeding yet.

In a May 20 call with analysts, Royal Caribbean Cruises chief executive Richard Fain recalled how drastically travel changed after the 9/11 terrorist attacks — and how the “new normal” eventually just became normal. He expects to see a similar phenomenon in the post-coronavirus world.

5 0
2 years ago
Read 2 more answers
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