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?

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].

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.

[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].

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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:

Answer:

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

Step-by-step explanation:

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.

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.

Answer:

9

Step-by-step explanation:

2+4 over 2

x 3

= 9

Answer:

10/45 = 22.2% change in price  

Step-by-step explanation:

new-old/old

Answer: 6/5

Step-by-step explanation:

Slope = Rise/ Run

=6/5

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

The answer is:

We start by defining the variables:

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:

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Answer:

the valve of the expression would be 184

Step-by-step explanation:

Got it right on edge

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.

Answer:

432

24*36

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

2

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:

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

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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

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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]

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:

Recall:

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

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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

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.

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 :)

Answer:

19

Step-by-step explanation:

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

round

19

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

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Answer:

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

rides.

Step-by-step explanation:

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.

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.

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!

500Step-by-step explanation: