Johnny is reading a novel for the read-a- Thon. The ratio of the number of pages she read to the pages that remain to be read is 7:3. If the book contains 500 pages in all, how many pages did Johnny reed and how many pages remain left?

Answers

Answer 1
There are several ways to answer this question and I will use this approach. Since Johnny reads at a ratio of 7:3 it can be stated that for every 10 pages in a book containing 500 pages Johnny will read 7 of those pages. There are 50 groups of 10 in a 500-page book (50 x 10). Take the ration 7:3 times 50 and use the distributive property:  7:3(50) = (7 x 50):(3 x 50) = 350:150. Based on this Johnny has read 350 pages and has 150 pages remaining.

Related Questions

Megan is checking her tax bill for the last year.
The tax rates were as follows;
-no tax on the first £11 000 of earnings

Answers

Final answer:

Marginal tax rate refers to the tax rate applied to each additional dollar of income. Individuals pay according to the bracket their income falls into, with higher rates applying only to income that exceeds certain thresholds. An example includes a single taxpayer earning $35,000 a year being in the 15% marginal tax rate bracket.

Explanation:

The student's question relates to understanding marginal tax rates and how they apply to an individual's income. Marginal tax rate is the tax rate incurred on each additional dollar of income, meaning as you earn more, you generally pay a higher tax rate on your incremental earnings beyond certain thresholds. However, it's important to note that lower tax rates apply to lower income brackets, meaning individuals pay progressively more only on the income that falls within higher brackets.

For instance, consider the marginal tax rate structure where the first $9,075 of income is taxed at 10%, the income from $9,075 to $36,900 at 15%, and income beyond $36,900 at 25%. If a single taxpayer earns $35,000 a year, their marginal tax rate is 15% because their last dollar earned falls into the 15% tax bracket. However, not all their income is taxed at 15%; the income up to $9,075 is taxed at 10%, and only the income over $9,075 up to $35,000 is taxed at 15%.

1.8 as a fraction????

Answers

ANSWER: 1.8 = 18/10 which is also equal to 4/5

How to convert it:

Multiply both top and bottom by 10:

1 × 10 = 10
1.8 × 10 = 18

To simply it:

18 ÷ 2 = 9
10 ÷ 2 = 5

As an improper fraction, that could also be expressed as: 4/5

I hope this helped! c:
1.8 = 1 8/10

Improper fraction is 18/10
Mixed fraction is 1 8/10
Simplified fraction is 1 4/5

Hope this helps

Devon Price is a clerk typist. His annual salary is 18,720. What is his biweekly salary?

Answers

195. You take 18,720 devide it by 12 then devide that by 4 then devide that by 2 you get 195

Answer:

Biweekly salary is $ 720.

Step-by-step explanation:

Given,

Annual salary = 18,720,

Number of weeks in a year = 52,

Thus, the number of bi weeks in a year = [tex]\frac{52}{2}[/tex] = 26,

Hence, the biweekly salary = [tex]\frac{\text{annual salary}}{\text{Number of bi weeks in a year }}[/tex]

[tex]=\frac{18720}{26}=\$ 720[/tex]

There were 91 books on a shelf. Twenty-eight of the books were nonfiction, 13 of the books were poetry books, and the rest were fiction books. How many books were fiction?

Answers

Twenty-eight of the books were nonfiction
13 of the books were poetry books

28 +13= 41 

the rest are fiction 

91 -( 28 +13)= 50 books fiction


tim earns $150 a week plus $15.50 for each desk he assembles. write an inequality to represent how many desks he needs to assemble to make $400 in one week.

Answers

x = number of desks needed to make

equation:  150 +15.50x >= 400


solution:

150 +15.50x >=400

15.50x = 250

x = 250/15.50 = 16.129

he needs to assemble 17 desks

15.50*17 = 263.50 +150 = $413.50

Which is bigger 4 kilometers or 4400 meters?

Answers

1km=1000m
4400m=(4400/1000)km
4400m=4.4km
therefore, 4400meters is bigger

The length of the side of a square is 8 radical 12 in. What is the area of the square?

Answers

(8 * √12)² =
(8 * 3,464101615137755)² =
27,71281292110204² =
768 (cm²?)

A wallet contains 23 bills. All the bills are $1 bills and $5 bills. There are 7 more $1 bills than 5 bills. How much money does the wallet contain

Answers

The wallet contains 55 dollars.

Final answer:

The wallet contains a total of $55, given that there are 8 $5 bills and 15 $1 bills.

Explanation:

The student's question involves determining the total amount of money in a wallet given a specific mix of $1 bills and $5 bills. According to the information provided, there are 23 bills in total, with 7 more $1 bills than $5 bills.

Let's denote the number of $5 bills as x. Therefore, there are x + 7 $1 bills. The total number of bills is the sum of the number of $1 bills and the number of $5 bills, which gives us the equation:

x + (x + 7) = 23

Solving the equation for x will give us the number of $5 bills:

2x + 7 = 23

2x = 23 - 7

2x = 16

x = 8

Now, since there are 8 $5 bills, and 7 more $1 bills than $5 bills, we have:

Number of $1 bills = 8 + 7 = 15

Thus, the total amount of money in the wallet is:

($5 × 8) + ($1 × 15) = $40 + $15 = $55

Therefore, the wallet contains $55.

2/3 is what percent of 1/4?

Answers

To determine what percent 2/3 is of 1/4, convert both fractions to percent form, where 1/4 is 25%. Converting 2/3 to a percent gives approximately 66.67%, and dividing this by 25% gives 266.68%. Thus, 2/3 is 266.68% of 1/4.

To find out what percent 2/3 is of 1/4, you first need to express the fractions in a way that allows comparison. A standard way of expressing a fraction as a percent involves having a denominator of 100. Since you know 1/4 equals 25 percent, you can use this as a basis for comparison with 2/3.

To convert 2/3 to a decimal, divide the numerator by the denominator: 2 divided by 3 equals approximately 0.6667. To then convert that decimal to a percent, multiply by 100, getting approximately 66.67 percent. To find what percent 2/3 is of 1/4, divide 66.67 by the percent value of 1/4, which is 25, and then multiply by 100 to get the percentage. This gives you (66.67 / 25) x 100 = 266.68 percent. So, 2/3 is 266.68 percent of 1/4.

Find the plane containing the points S, X, and V. Which statement is true?


Point Y is noncoplanar with points S, X, and V.


Point U is coplanar with points S, X, and V.


Point Z is coplanar with points S, X, and V.


Point C is coplanar with points S, X, and V.

Answers

Let's go through the four answer choices to see which are true and which are false
------------------------------------------
Choice A) 
Point Y is noncoplanar with points S, X, and V

This claim is false. Point S, X and V are all in the pink horizontal plane. So is point Y. So Y is coplanar with the other three points mentioned. Being coplanar is the complete opposite of noncoplanar

We can rule out choice A since it is false

------------------------------------------
Choice B) 
Point U is coplanar with points S, X, and V

This claim is true. Point U is in the pink plane alone with S, X and V

So far it looks like choice B is the answer. Let's check the others just to be sure
------------------------------------------
Choice C) 
Point Z is coplanar with points S, X, and V

False. Point Z is above the pink plane and is instead in the gold plane. If it said that Z is noncoplanar with S, X, and V, then the statement would be true.

We can rule out choice C
------------------------------------------
Choice D) 
Point C is coplanar with points S, X, and V

Similar to choice C, we can rule out choice D as point C is not in the pink plane either. 
------------------------------------------
------------------------------------------

Summary:

Choice B is the only true statement

operations absolute value

|4 - 9| =

|4| -9 =

Answers

|4-9|
|-5|
5

|4|-9
4-9
-5

absolute value is the numbers distance from zero

This figure is a rectangle Select the three statements that describe all rectangles.

Answers

All rectangles has parallel lines.
All rectangles have 4 right angles.
All rectangles have 4 vertices, and 4 sides.
A rectangle is a quadrilateral with 4 right angles.opposite sides are parallel

According to one web page on the resale value of cars, a BMW that cost $71,000 in 2003 depreciates in value about 15% a year. How much was it worth in 2013?

Answers

71,000 *(1-0.15)^10 =

71,000*0.85^10 =

$13,978.08

we apply the exponential decay formula leading to an estimated worth of approximately $13,978.37 in 2013.

To calculate the value of a BMW that cost $71,000 in 2003 and depreciates at a rate of about 15% per year for 10 years, we will use the formula for exponential decay, which is:

V = [tex]P(1 - r)^t[/tex]

Where:

V is the final value after depreciation

P is the principal amount ($71,000)

r is the rate of depreciation (15%, or 0.15)

t is the time in years (2013 - 2003 = 10 years)

So, our calculation will be:

V = $71,000 *[tex](1 - 0.15)^{10}[/tex]

V = $71,000 * [tex](0.85)^{10}[/tex]

V = $71,000 * 0.19687

V ≈ $13,978.37

Therefore, the BMW would be worth approximately $13,978.37 in 2013.

Scores on a test have a mean of 70 and q3 is 83. the scores have a distribution that is approximately normal. find p90. (you will need to first find the standard deviation.)
a. 94.84
b. 85.08
c. 85.31
d. 83.7

Answers

The value corresponding to the 90th percentile (p90) is 94.84. Option  A is correct.

To find the value corresponding to the 90th percentile (p90), we first need to find the standard deviation of the scores.

We know that the third quartile (Q3) is 83, which corresponds to the 75th percentile (p75). Since the distribution is approximately normal, we can use the properties of the normal distribution to find the standard deviation.

In a standard normal distribution, the value corresponding to the p75 is approximately 0.6745 standard deviations above the mean. So, we can set up the following equation:

70 + 0.6745 * standard deviation = 83

Now, solve for the standard deviation:

standard deviation = (83 - 70) / 0.6745 ≈ 19.3047

Next, to find the value corresponding to the p90, we use the properties of the normal distribution again. The value corresponding to the p90 is approximately 1.2816 standard deviations above the mean.

Now, calculate p90:

p90 = 70 + 1.2816 * standard deviation
       ≈ 70 + 1.2816 * 19.3047
       ≈ 94.84

Rounding to two decimal places, we get p90 ≈ 94.84. So, the answer is (a) 94.84.

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Final answer:

To find p90 in a normally distributed set of scores, we need to find the standard deviation. Using the mean and q3, we can find the IQR and estimate the standard deviation. Finally, we can use the standard deviation to find the value corresponding to the 90th percentile.

Explanation:

To find the value of p90 in a normally distributed set of scores, we need to first find the standard deviation of the scores. We know that the mean is 70 and q3 (the third quartile) is 83. Using the formula for the interquartile range (IQR = q3 - q1), we can calculate the value of q1. Subtracting q1 from q3 gives us the IQR. Since the distribution is approximately normal, we can assume that the IQR is approximately 1.35 times the standard deviation. Dividing the IQR by 1.35 gives us the standard deviation. Finally, we can use the standard deviation to find the z-score corresponding to the 90th percentile and then find the corresponding value in the original distribution using the mean and standard deviation. The correct answer is option (a) 94.84.

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Can you create a rule relating library fines for new books to the number of days the book is kept? Write your rule in symbolic form, using F for the fine and d for number of days the book is kept.

Answers

total of the fine = C

you would need to multiply the amount of the fine by the number of days

 so the equation would be C=Fd

what is the greatest possible whole number remainder if you divide any number by 41?

Answers

Ok so first we need to determine what is the greatest possible whole number remainder if we divide by 41. If we divide some number x by some other number y, or x:y, we can get a number and a remainder. The remainder we can divide again if its greater than or equal to y and we repeat the procedure until we get a remainder that we can't divide further because it is smaller than y. So when we divide by 41 the greatest possible whole number divider is 40 because we can't divide 41 with 40 and get a whole number. 

The greatest possible whole number remainder if you divide a number by 41 is 40.
 
It can't be 41 because, if the remainder is 41, the remainder can divided by 41

Hope this helped.
41/41 is equal to 1, so 40/41 would be the fraction right under that. The greatest whole number remainder would be 40 because it is one less than the number that is dividing, otherwise any number higher than the remainder and there technically wouldn’t be a remainder.

BRAINLIEST TO BEST ANSWER!!!!

The function graphed is f(x). What is f(2)?

Answers

when x is on 2

 y is on -3

 answer is y=-3

Write an equation in point-slope form of the line having the given slope that contains the given point. y= 3 4 ,(5 1 3 ,2 7 8 )

Answers

This is very simple. All you need to know is the formula for Point-Slope which is: 
y - y1 = m (x - x1)

You haven't given me anything to work with. What is y =3 4 ,(5 1 3, 2 7 8) ?????
That's not asked correctly, I think you made a mistake there. Fix it and I'll be happy to answer your question.

John Tucker is interested in purchasing stock. He wants to determine the costs.

Answers

                    commission @6%                                Total Cost

$1,625 x 0.06 = $97.5                             $1,625 + $97.5 = $1,722.50
$1,466 x 0.06 = $87.96                          $1,466 + $87.96 = $1,553.96
$4,708 x 0.06 = $282.48                         $4,708 + $282.48 = $4,990.48

Answer: a0 =$97.5  ; a1 =$87.96 ; a2=$282.48; a3=$1,722.5 ; a4=$1,553.96 ; a5=$4,990.48

Step-by-step explanation:

Hi, to solve this problem we have to multiply each total by the commission in decimal form (6 / 100= 0.06).

So:

$1625 x 0.06 = $97.5

$1,466 x 0.06 =$87.96

$4,708 x 0.06 =$282.48

And finally, to obtain the total costs we have to add to each total the commission of the total.

$1625 + $97.5 = $1,722.5

$1,466 +$87.96 = $1,553.96

$4,708 +$282.48 = $4,990.48

Feel free to ask for more if it´s necessary or if you did not understand something.

Write an equation in point-slope form of the line having the given slope that contains the given point. m=34m=34, (36,24)

Answers

All we have to do is input the x, y, and m value into the equation. It'd look like tihs:

y - 24 = 34(x -36)

What happened to the glass blower who inhaled

Answers

What are you aaking?

Deniz had a full gallon of milk. She poured out 4 cups of milk. There are 16 cups in 1 gallon. About what percent of the original volume is left?

Answers

Answer:

75% of the original volume is left.

Step-by-step explanation:

Deniz had a full gallon of milk, or 16 cups of milk, and then she poured out 4 cups of milk. That is:

[tex]\\ A_{full-gallon} = \frac{16}{16}[/tex] cups of milk, since [tex]\\ \frac{16}{16} = 1[/tex] or [tex]\\ 1 * 100\% = 100\%[/tex] of the original volume.Deniz poured out 4 cups of milk from the 16 available (or [tex]\\ \frac{4}{16}[/tex]).

Then,

The total left is:

[tex]\\ Total_{left} = \frac{16}{16} - \frac{4}{16} = \frac{12}{16} = \frac{3}{4}[/tex], since we are dealing here with fractions with the same denominator.

In other words, [tex]\\ \frac{3}{4} = 0.75[/tex] is the amount of milk left in the container.

In terms of percentage, [tex]\\ \frac{3}{4} = 0.75[/tex] is equivalent to [tex]\\ 0.75*100\% = 75\%[/tex] of the original volume, because Deniz poured out [tex]\\ \frac{4}{16} = \frac{1}{4} = 0.25[/tex] or [tex]\\ 0.25*100\% = 25\%[/tex] from the original volume.

So, Deniz left 75% of the original volume of milk after pouring out 25% of it.        

This can be represented in the graph below.

Answer:

75%

Step-by-step explanation:

Given triangle XP’s is congruent to triangle dnf, find the values of x and y.

Answers

ΔXPS is congruent to ΔDNF

Since they only give you two sides of ΔXPS, then you know that:
XP (4y-3)= DN (57)
XS (17x+3) = DF (54)

4y - 3 = 57
4y = 60
y = 15

17x + 3 = 54
17x = 51
x = 3

So the answers are:
x = 3
y = 15

x = 3

y = 15

Let's establish the proportion below to find the value of x and y

XP / DN = XS / DF = PS / NF

Since only 2 sides of XPS is given, then

4y - 3 = 5717x + 3 = 54

Therefore,

4y = 60

y = 60 / 4

y = 15

17x = 57

x = 57 / 17

x = 3

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In the xy-plane, if the parabola wiry equation y=ax^2+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?

Answers

Since the parabola passes through the point (–1,1), we can substitute the x with -1 and the y with 1 into the equation. 
[tex] 1=a(-1)^{2} +b(-1)+c\\ 1=a-b+c[/tex]
So a – b + c = 1.

180=2x+y which equation is used to find x

Answers

180=2x+y
180-y=2x
(180-y)/2=x

The value of x would be equal to (180-y)/2

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

To solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given the equation as- 180=2x+y

Now solving;

180=2x+y

180=2x+y

180-y=2x

(180-y)/2=x

x = (180-y)/2

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If the measure of cae is 95° what is the measure of cba

Answers

CAE=95 GAE=90 CAG=95-90=5 ACG=5 CGA=180-(5+5)=170 CBA=12—170=85

Answer:

The measure of the arc CBA is equal to 190°

Step-by-step explanation:

95 x 2 = 190

How many six-letter passwords are there that use only lowercase letters with no letter repeated?

Answers

there are 26 letters of the alphabet
you want 6-character passwords without repetitionthe first time you pick a letter, you pick from 26 lettersthe second time you pick a letter, you pick from 25 letters (no repetitions !)the third time you pick a letter, you pick from 24 letters, and so onthe answer is 26*25*24*23*22*21=165,765,600 passwords

Jennifer figures that she uses 2 pens per month. she started the year with 10 pens. how do i write the equation that represents the number of pens, y, she will have after x months

Answers

So it would be 10-2x . X would be the months and it would be -2 because she uses that much per month

The sum of two numbers is 47 and the difference is 1 . what are the numbers?

Answers

Twenty three and twenty four

What is the value of X? Make sure to show all of your work!

Answers

Since this is a equilateral triangle all angles are equal to each other. All angles in a triangle always add up to 180 degrees.

So you would set up your equation like so
3(7x - 3) = 180
The 3 outside the parenthesis resembles the 3 angles.
You equal the equation to 180 since all the angles in a triangle = 180
So distribute the 3
21x - 9 = 180
Add 9 to both sides
21x = 189
Divide 21 on both sides
x = 9
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