to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?

Answers

Answer 1

Using proportions, it is found that he was supposed to read the book in 10 days.

This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:

40 pages - x days

25 pages - x + 6 days

Applying line multiplication, as it is an inverse rule of three:

[tex]40x = 25(x + 6)[/tex]

[tex]40x = 25x + 150[/tex]

[tex]15x = 150[/tex]

[tex]x = \frac{150}{15}[/tex]

[tex]x = 10[/tex]

He was supposed to read the book in 10 days.

A similar problem is given at https://brainly.com/question/24372153


Related Questions

what is the best guess the weight of the cube if the length in 9 inches ?

Answers

Abut 12 pounds but it is unclear what kind

Can I get some help with these questions?​

Answers

Answer:

For the first question its X=110 For the second question angle AEF is 75 degrees and for angle ADF  is 105 degrees

Step-by-step explanation:

the total angle is 150 so take 4+22 and you get 26 then add 6+8 and you get 14 add 26+14 and you get 40 do 150-40 and you get 110 therefore x=110

Write the equation of line with slope of -3, passing through (-1,7) . write in slope -intercept form.​

Answers

Hello there, hope you are having a nice day.

We are given the slope of the line and a point on the line, so we can write the equation in point-slope form:

y-7=-3(x-(-1)

y-7=-3(x+1)

y-7=-3x-3

Now, we move -7 to the right side, using the opposite operation:

y=-3x-3+7

y=-3x+4

This is the equation of our line. Hope it helps.

Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

Why is it necessary for the differentiated cells to produce a mucus coating?

Answers

Mucus coating is required for multiple functions such as protection and dealing with substances or pathogens.

Cells differentiation occurs as cells changes from a basic type to a more specialized one. Some specialized cells include:

Muscle cells.Immune cells.Epithelial cells.

Some of these cells including epithelial cells and mucous cells produce mucus. This particular substance has many functions but the most important are:

Protecting mucous membranes including the lining of organs such as the lungs.Trapping some substances, especially nocive substances to eliminate them later.Containing important substances the body requires.

Learn more in: https://brainly.com/question/11289653

100 if u get this right ty have a nice day!

Answers

Answer:

9

Step-by-step explanation:

2+4 over 2

x 3

= 9

Please complete this question,
20 points will be given

Answers

You mean 10 points will be given

Is (3, 8) a solution to the equation y = 2x - 1? Explain your answer.

Answers

Answer:

No, because 2x3 - 1 =5, which proves it is incorrect

Step-by-step explanation:

please help me!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Option a,c,e,f,i,j are quadratic equations. (Because its degree is 2)

Option b,d,g are linear equations. (Because its degree is 1)

Just option h is not quadratics nor linear.

If you need to ask any questions, please let me know.

Express y²-16y+k as a perfect square.​

Answers

Answer:

(y-4)(y+4)

Step-by-step explanation:

When you factor the y^2 you need to factor the rest of your equation. Your K does not exist since it is a perfect square and there is no c. Then you square 16 which is 4 so you have (y-4) (y+4). Hope this helps :)

Write seven million two thousand five hundred in standard form

Answers

Answer:

Seven million two thousand five hundred in standard form is 7002500

Answer:

Step-by-step explanation:

In words=7,002,500

In standard form:

7.0025×[tex]10^{6}[/tex]

If you need to ask any questions, please let me know.

3 comic books for $6.75

Answers

Answer:

1 comic book for $2.25

Step-by-step explanation:

If 3 comic books are for $6.75, then 1 comic book will be $6.75 / 3 = $2.25, and there's your answer.

Tell me if I'm wrong :)

Answer:

$6.75/3= $2.25 per comic book

Step-by-step explanation:

Which expression is equivalent to 1/2(4x+8)? Answer choices: A. x + 4 B. 2x+4 C. 2x+8 D. 4x+4. Please provide explanation as well!

Answers

Just distribute the 1/2
So it would be 1/2 x 4x = 2x
Then 1/2 x 8 = 4
Combine them: 2x+4

How to find the mode.

Answers

Step-by-step explanation: The mode is the number that appears most frequently in a data set. If no Number repeats at all, then there is no mode. A data set can also have multiple modes if different numbers repeat the same amount of times.

ILL GIVE BRAINLIST ! Jamie spends the day at an amusement park. The table shows how many
tickets Jamie has after riding some amusement park rides. It represents a
linear function.
Number of rides
0
1
2
3
4
Number of tickets
16
12
8
4
0
What is the y-intercept of the function shown in the table, and what does it
represent?
A. The y-intercept is (4,0). Jamie uses 4 tickets per ride.
OB. The y-intercept is. (0,16). Jamie uses 16 tickets per ride.
C. The y-intercept is (0,16). Jamie has 16 tickets before going on any
rides.
O D. The y-intercept is (4,0), Jamie goes on 4 rides.

Answers

Answer:

The y-intercept is (0,16). Jamie has 16 tickets before going on any

rides.

Step-by-step explanation:

Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 46 coins consisting of pennies dimes and quarters. The number of pennies is equal to the number of dimes and the total value is $4.09. How many of each denomination of coin does he have?

Answers

We must write and solve a system of equations to see how many of each type of coin Carlos has.

The answer is:

There are 19 pennies.There are 19 dimes.There are 8 quarters.

We start by defining the variables:

x = number of pennies in the box.y = number of dimes in the box.z = number of quarters in the box.

We know there are 46 coins in total, thus:

x + y + z= 46

The number of pennies and dimes is the same, thus:

x = y

The total value of the coins in the box is $4.09, then:

x*$0.01 + y*$0.10 + z*$0.25 = $4.09

So we can write the system of equations:

x + y + z= 46

x = y

x*$0.01 + y*$0.10 + z*$0.25 = $4.09

First, we can replace x by y in the first and third equations (by using the second one) to get:

2y + z =  46

y*$0.11 + z*$0.25 = $4.09

Now we can isolate z in the first equation to get:

z = 46 - 2y

And replace that in the other equation:

y*$0.11 + (46 - 2y)*$0.25 = $4.09

Now we can solve the equation for y:

y*$0.11 + (46 - 2y)*$0.25 = $4.09

y*$0.11 + $11.50 - y*$0.50 = $4.09

y*($0.11 - $0.50) = $4.09 - $11.50

y*(-$0.39) = -$7.41

y = (-$7.41)/(-$0.39) = 19

if y = 19, then x = 19

By using the first equation:

x + y + z = 46

19 + 19 + z = 46

z = 46 - 19 - 19  = 8

We can conclude that:

There are 19 pennies.There are 19 dimes.There are 8 quarters.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13997560

Which function could be used to represent the sequence 8, 20, 50,

125, 312.5...., given that a, = 8?

(1) a, = 4,- 1 ta

(3) 4, = 4, + 1.5(, -1)

(2) a. = 2.5(

4-1) (4) 4 = (a), -1)

Answers

Answer: a = 2.5 (an-1)

Step-by-step explanation: trust me;)

The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

What is geometric progression?

sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of  numbers.

Formula for nth term of geometric progression

[tex]a_{n} =ar^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression

n is the total number of terms

r is the common ratio

and a is the first term

According to the given question

We have

A geometric progression

8, 20, 50, 125, 312.5

Now the common ratio for the above progression is given by

[tex]r = \frac{20}{8} = 2.5[/tex]

And the first term is

a = 8

Therefore, the function which is used to represent the above sequence is given by

[tex]a_{n} = 8(2.5)^{n-1}[/tex]

Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

Learn more about geometric progression here:

https://brainly.com/question/4853032

#SPJ2

Alexander and his friends are going into a restaurant. How much would it cost to buy 2 hotdogs and 40 chicken wings if each hotdog costs $4.00 and each chicken wing costs $0.50? How much would it cost to buy 22 hotdogs and 4040 chicken wings if each hotdog cost \$h$h and each chicken wing cost \$c?$c?

Answers

2 * 4
$8.00 - hot dogs

40 * 0.50
$20.00 - chicken wings

$28.00 total
4+4= $8 for 2 hotdogs
40 x by .50= $20 for the wings


22x4= $88 for 22 hotdogs
4040x.50= $2020 for 4040 wings

PLEASE ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

  3/2

Step-by-step explanation:

Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...

  (4, 1) and (6, 4)

The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:

  slope = "rise"/"run" = 3/2

The slope of the graphed line is 3/2.

Dak Prescott worked 40 hours last week at his regular $12.50 per hour rate. He got paid 2 times his regular pay for the 5 overtime hours he worked. What was his total gross pay last week?

Group of answer choices

$500

$625

$562.50

$510

Answers

500Step-by-step explanation:

I need help in algebra

Answers

Answer: 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

How to solve

× + 5 = 13

subtract from both sides of the equation.

× + 5 - 5 = 13 - 5

13 - 5= 8

please give me brainliest and a thanks.

If a = - 1 and y = 2 what is the value of the expression 2a³ - 3ay?

Answers

Answer:

the valve of the expression would be 184

Step-by-step explanation:

Got it right on edge

Find and intercept the slope of this line.

Answers

Step-by-step explanation:

the 4th answer option is correct.

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

I GIVE BRANLIEST. Question is on the bottom

Answers

Answer:

432

24*36

---------- = 432

2

solve pls brainliest

Answers

Answer:

Ture

Step-by-step explanation:

.5/.2 = 2.5

1/.4 = 2.5

1.5/.6 = 2.5

The answers are all the same after we divide each x values to the y values.

Hope this is helpful.

Answer:

True

Step-by-step explanation:

.5/.2 = 3.5

1/.4 = 2.5

1.5/.6 = 2.5

the answer is all the same after we devide each x values to the y values.

help asap for brainlist

Answers

Answer:

Option D

Step-by-step explanation:

(x + 8) (2x² - 5x - 3)

=> (2x³ - 5x² - 3x) + (16x² - 40x - 24)

=> 2x³ + 11x² - 43x - 24

Hope this helps!

This scatter plot shows the height of a card tower and the amount of time used to build it (in minutes).
Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?

Answers

Answer:

It’s 7 inches

Step-by-step explanation:

I hope this helps

Following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is:

5 inches.

Recall:

A scatter plot can be used to make prediction as it shows how two variables are related.

From the scatter plot given, it shows that as the amount of time increase, the height of the card tower also increases.

Therefore, following the trend line of the scatter plot, the height of a card tower at 10 minutes, the best prediction that can be made given the answer options is: 5 inches.

Learn more about scatter plot on: https://brainly.com/question/20647477

The sports stores price went up in 2013 a bat that cost $45 in 2012 now cost $55 what is the percent of change

Answers

Answer:

10/45 = 22.2% change in price  

Step-by-step explanation:

new-old/old

The mean age of 8 women in an office is 19 years old.
The mean age of 5 men in an office is 18 years old.
What is the mean age (nearest year) of all the people in the office?

Answers

Answer:

19

Step-by-step explanation:

(8*19+5*18)/(8+5)=242/13=18 8/13

round

19

There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
5\12
There are 84 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.

Answers

Answer:

49 red marbles

Step-by-step explanation:

We should first make 5/12 have a base of 84, so that'll be

(5*7)/(12*7)=35/84. So we have 35 blue marbles and all the rest are red, so 84-35=49

DUBS

Please consider giving me a brainliest! Thank you.

HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 6/5

Step-by-step explanation:

Slope = Rise/ Run

=6/5

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