Nora had already read thirty percent of the book before he teacher assigned it to the class she is choosing between two options.option1:read 25%of the remaining pages each night or option2:read 28pages each night
Answers
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.
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If an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
What is conversion?Conversion is basically converting one unit to another because there are different quantities expressed in different units. Like in one kilogram there are 1000 grams, etc.
How to convert units?We have been given that an apartment has 972 square feet of carpeting and we are required to convert these 972 square units into square meters. We have been given that 1 square meter is equal to 10.8 square feet.
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Hence if an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
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A forest ranger can see a distance of 12 miles from a fire tower how many square miles can he see
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-2(v+5) - 4v
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Hope this helps!
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Answers
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driscoll has 42 pages left to grade.
you can recheck your answer by adding 42 ans 12 which gives your answer as 54. so yup our answer is right.
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Answer:
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Step-by-step explanation:
Polynomial Or Not a polynomial?
1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
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Answers
D. 62%
Answer:
Option D. 62%
Step-by-step explanation:
Net pay = $453.10
Gross pay = $734.00
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The take-home percent of the gross pay would be 62%.
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Step-by-step explanation:
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Answers
In order to solve this question, you have to multiply 10.75 x 15. Which equals to 161.25.
I hope this helps you! -Wajiha
Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x
select each correct answer:
(-1,4/25)
(0,0)
(1,4)
(2,2500)
Answers
The ordered pairs [tex]\left(-1, \frac{4}{25}\right)[/tex] and [tex](2,2500)[/tex] lie on the graph of the exponential function.
The quickest approach consists in evaluating the function at each value of [tex]x[/tex] to determine if the resulting value of [tex]y[/tex] coincide with the value given in statement.
x = -1
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The resulting value coincides with the value given in statement.
x = 0
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[tex]f(0) = 4[/tex]
The resulting value does not coincide with the value given in statement.
x = 1
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The resulting value does not coincide with the value given in statement.
x = 2
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[tex]f(2) = 2500[/tex]
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The ordered pairs (-1, 4/25) and (2, 2500) lie on the graph of the exponential function f(x) = 4 × (5)^(2x), while (0, 0) and (1, 4) do not.
To determine which ordered pairs lie on the graph of the exponential function f(x) = 4 × (5)^(2x), we can substitute the given x-values into the function and check if the resulting y-values match the given coordinates.
For the point (-1, 4/25):
f(-1) = 4 × (5)^(2(-1)) = 4 × 1/25 = 4/25
This matches the given coordinate, so (-1, 4/25) is on the graph.
For the point (0, 0):
f(0) = 4 × (5)^(2 × 0) = 4 × 1 = 4
This doesn't match the given coordinate, so (0, 0) is not on the graph.
For the point (1, 4):
f(1) = 4 × (5)^(2 × 1) = 4 × 25 = 100
This doesn't match the given coordinate, so (1, 4) is not on the graph.
For the point (2, 2500):
f(2) = 4 × (5)^(2 × 2) = 4 × 625 = 2500
This matches the given coordinate, so (2, 2500) is on the graph.
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What are the domain and range of the function?
X Y
-2 -8
-1 -1
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1 1
2 8
3 27
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A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
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C.
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D.
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2.) 2
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I hope this helps love! :)
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Travis and Paula went to lunch. Travis ordered a sandwich for $7.50, and Paula ordered a burger for $5.25. after lunch they left a %15 percent tip for their waiter. how much money did the spend together?
Answers
$7.50 + $5.25 = $12.75
Next, you would need to create an equation for this problem.
($12.75 x 0.15) + $12.75
Now, all you would have to do is solve it.
($12.75 x 0.15) + $12.75 = $14.6625
They spent $14.6625 in total.
I hope this helps!
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What is the least common denominator (LCD) for these fractions? 2/7 and 9/10
Answers
2/7, 9/10
For the denominators (7, 10) the least common multiple (LCM) is 70.
Therefore, the least common denominator (LCD) is 70.
Rewriting the original inputs as equivalent fractions with the LCD:
20/70, 63/70
The required least common denominator for the fraction is 70.
Given that,
To determine the least common denominator for the fractions 2/7 and 9/10.
The least common denominator has defined the factor that is least common among the factors of the denominator is called the least common denominator.
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
For the fraction, 2 / 7 and 9 / 10
the denominators are 7 and 10
Now lowest common multiple of 7 and 10 is given as ,
7 * 10 = 70
Thus, the required least common denominator for the fraction is 70.
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