the sum of 15 and x is greater than or equal to 12 minus y

Nora should choose Option 1 because it will take her 4 nights to finish instead of 25 nights with Option 2.

Let's break down Nora's situation step by step:

1. Calculate the total number of pages in the book:

  Since Nora has already read thirty percent of the book, we can find the total number of pages by dividing the portion she read by 30% (or 0.30). Let's denote the total number of pages as ( P ).

[tex]\[ P = \frac{{\text{portion Nora read}}}{{\text{percentage read}}} = \frac{{\text{portion Nora read}}}{{0.30}} \][/tex]

2. Calculate the portion of the book Nora has already read:

  If Nora has already read thirty percent of the book, then she has already read [tex]\( 0.30 \times P \)[/tex] pages.

3. Calculate the number of pages Nora has remaining:

  Subtract the pages Nora has already read from the total number of pages in the book.

[tex]\[ \text{Pages remaining} = P - (0.30 \times P) = P(1 - 0.30) = 0.70P \][/tex]

4. Option 1: Read 25% of the remaining pages each night:

  Nora's plan is to read 25% of the remaining pages each night. Since she has (0.70P) pages remaining, she will read [tex]\( 0.25 \times 0.70P \)[/tex] pages each night.

5. Option 2: Read 28 pages each night:

  Nora's other option is to read 28 pages each night.

6. Compare the two options:

  To determine which option Nora should choose, we compare the number of nights it will take her to finish each option.

  - With Option 1, the number of nights Nora will need to finish the book is [tex]\( \frac{{0.70P}}{{0.25 \times 0.70P}} \).[/tex]

  - With Option 2, the number of nights Nora will need to finish the book is [tex]\( \frac{{0.70P}}{{28}} \).[/tex]

7. Choose the more efficient option:

  Nora should choose the option that requires fewer nights to finish the book.

Let's summarize the steps:

1. Calculate the total number of pages in the book.

2. Determine the portion of the book Nora has already read.

3. Calculate the number of pages Nora has remaining.

4. Calculate the number of pages Nora will read each night for Option 1.

5. Compare the number of nights needed for each option.

6. Choose the option that requires fewer nights to finish the book.

This process will help Nora decide which option is more efficient for her to finish reading the book.

Let's denote:

- Total number of pages in the book as ( P ).

- Number of pages Nora has already read as ( 0.30P ).

- Number of pages Nora has remaining as ( 0.70P ).

With Option 1, Nora will read [tex]\( 0.25 \times 0.70P = 0.175P \)[/tex] pages each night.

To find the number of nights needed to finish with Option 1:

[tex]\[ \text{Number of nights with Option 1} = \frac{{0.70P}}{{0.175P}} = 4 \][/tex]

With Option 2, Nora will read 28 pages each night.

To find the number of nights needed to finish with Option 2:

[tex]\[ \text{Number of nights with Option 2} = \frac{{0.70P}}{{28}} = 25 \][/tex]

Nora should choose Option 1 because it will take her 4 nights to finish instead of 25 nights with Option 2.

9514 1404 393

Explanation:

Each is a reflection of the other over the x-axis. Their x-coordinates are the same, so they lie on the same vertical line. Their y-coordinates are opposites, so they are equal and opposite distances from the x-axis.

The required integers are -8 and -6, or 6 and 8 whose the product of two consecutive even integers is 48

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer.

Let the two consecutive even integers be 2n and 2(n+1), where n = any integer.

As per the given condition, The product of the two integers is 48

2n × 2(n+1) = 48            

Multiply out, and subtract 48 from both sides

4n2+4n-48=0                            

Divide both sides by 4

n²+n-12=0                            

Factor the quadratic

(n+4)(n-3)=0                      

n= -4 and +3

For n= -4, 2n = -8 and 2(n+1) = -6.  (-8)(-6) = 48

For n=3, 2n = 6 and 2(n+1) = 8.  (8)(6) = 48

Thus, the required integers are -8 and -6, or 6 and 8.

Learn more about Integers here :

brainly.com/question/1768254

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Answer: 49, 64, and 81

Step-by-step explanation: To find the next three terms in this pattern, begin by studying the pattern.

Notice that the difference between 1 and 4 is positive 3, the difference between 4 and 9 is positive 5, the difference between 9 and 16 is positive 7, the difference between 16 and 25 is positive 9, and the difference between 25 and 36 is positive 11.

Since the differences are increasing by 2 each time, we can find the next term in the pattern by adding 36 + 13 to get 49. Next, we will add 49 + 15 to get 64. Then, we will add 64 + 17 to get 81.

Thus, the next three terms in the pattern are 49, 64, and 81.

The average growth of the bacteria per hour is [tex]10^{11}[/tex].

To find the average growth of bacteria per hour, we need to determine the rate at which the bacteria multiply per hour.

Given:

The amount of bacteria multiplies at a rate of [tex]\(10^{13}\)[/tex] per [tex]\(10^2\)[/tex] hour.

We want to find the growth rate per hour.

First, let's find out how much the bacteria multiplies per hour:

If the bacteria multiply by  [tex]\(10^{13}\)[/tex] in [tex]\(10^2\)[/tex] hours, then the average growth per hour can be found by dividing the total growth in [tex]10^{13[/tex] hours by [tex]10^2[/tex].

So, the growth per hour is:

Growth per hour} = [tex]\frac{10^{13}}{10^2}[/tex]

Growth per hour} = [tex]10^{13 - 2}[/tex]

Growth per hour} = [tex]10^{11}[/tex]

Therefore, the average growth of bacteria per hour is [tex]10^{11}[/tex].

Answer:

[tex]\boxed{Quadrant4}[/tex]

The answer should be found in quadrant four it is.

Step-by-step explanation:

x-axis- is a horizontal axis.

y-axis- is a vertical axis.

x-coordinate- is a horizontal position.

y-coordinate- is a vertical position.

quadrant- is a quarter of the coordinate plane.

origin- is a point of intersection of the two axes.

First you had to find quadrant of (7,-12).

Go to the right at it said seven and then go down to the negative twelve and its should be found in quadrant four.

(7,-12) it should be found in quadrant four.

(-7,-12) it should be found in quadrant three.

(-7, 12) it should be found in quadrant two.

(7, 12) it should be found in quadrant one.

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

Answer:

4 Of them

Step-by-step explanation:

So an easy way to do this is by adding 2/3 for a while till we hit max. Like this:

2/3+2/3=1 1/3+2/3= 2+2/3=2 2/3+ 2/3= 3 1/3+2/3= 4. so 6 of them

Hope this helps!

Final answer:

To find out how many 2/3-cup servings are in four cups of pistachios, you divide 4 cups by 2/3 cup, which equals 6 servings.

Explanation:

To determine how many 2/3-cup servings are in four cups of pistachios, you would divide the total number of cups by the size of one serving:

Total servings = Total volume \/ Size of one serving = 4 cups / (2/3 cup)

To divide by a fraction, multiply by its reciprocal:

Total servings = 4 / (2/3) = 4 * (3/2) = 4 * 1.5 = 6

So, there are six 2/3-cup servings in four cups of pistachios.