Madeleine is considering joining a Book of the
Month club. She has two membership options. For
the first one, she will pay only $1 for the first book,
but then each additional book will cost $16.95. The
cost for this membership option can be expressed
with the equation y = 1 + 16.95(x - 1), where x is
the number of books she purchases.
Her other option is to purchase books on a
decreasing scale. The table shows how much each
book will cost. The more books she purchases, the
cheaper each book will be. After she buys 5 books,
she can continue to purchase as many book as
she wants for only $10 each.

of she bought 11 books which option would be cheaper​

It would take them approximately 6.24 hours (or 6 hours and 14 minutes) to complete the order if they work together.

To solve this problem, we can use the formula:

Time = Work ÷ Rate

Time is the time it takes to complete the job, Work is the amount of work to be done, and Rate is the rate of work.

Let's assume that the amount of work to be done is 1 (it doesn't matter what unit we use as long as we are consistent).

Then, Maria's rate of work is 1/12 (she can do 1 job in 12 hours) and the new clerk's rate of work is 1/13 (he can do 1 job in 13 hours).

If they work together, their combined rate of work is the sum of their individual rates:

Rate = Maria's rate + New clerk's rate

Rate = 1/12 + 1/13

Rate = (13 + 12) / (12 x 13)

Rate = 25 / 156

So, their combined rate of work is 25/156 jobs per hour.

Now, we can use the formula to find the time it takes for them to complete the job together:

Time = Work ÷ Rate

Time = 1 ÷ (25/156)

Time = 156/25

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Answer:

Step-by-step explanation:

Let x, y, z represent the amounts invested in the first, second, and third accounts. The given relations are ...

  x + y + z = 1,000,000

  .05x +.02y +.03z = 36,250

  x - 4z = 0

__

Your calculator can tell you the solution to these equations is ...

  x = $500,000 . . . amount invested at 5%

  y = $375,000 . . . amount invested at 2%

  z = $125,000 . . . amount invested at 3%

_____

The attached graphing calculator screenshot shows one way this can be solved using a system of 2 equations in x and y. (X- and y-values are in thousands.)

An equally good substitution would be for x: x = 4z. Then you would have two equations in y and z:

  y + 5z = 1,000,000

  0.02y +0.23z = 36,250

The solution to these by any of your favorite methods is ...

  (y, z) = (375000, 125000) and x=4z = 500000

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

n+3

Step-by-step explanation:

1/2 × 2(n+3)=n +3

I hope this helps

The dot plot c represents the data correctly in this problem.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.

For this problem, we have that:

Hence the dot plot c represents the data correctly in this problem.

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Answer:

I believe D should be the correct answer

Answer:

60 centimeters

Step-by-step explanation:

Volume is base times height

      - Base is length times width

So, counting the cubes, gives us 4 * 3 * 5 = 60

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-0.38

Step-by-step explanation:

0.6-(0.7)(1.4)

0.6-0.98

-0.38

The required function f of the quantity 2 plus h end quantity minus f of 2 all over h is equal to \(\dfrac{(h^2 + 9h - 4)}{h}\).

To find f of the quantity 2 plus h end quantity minus f of 2 all over h, we need to use the formula for the difference quotient, which is:
\(\frac{ (f(x+h)-f(x))}{h}\)

In this case, we have f(x) = x² + 5x + 6, so we need to substitute x with 2 in the formula.

Step 1: Compute f(2+h) by substituting x = 2 + h in f(x). Then
f(2+h) = (2 + h)² + 5(2 + h) + 6
         = h² + 9h + 16

Step 2: Compute f(2) by substituting x = 2 in f(x). Then
f(2) = 2² + 5(2) + 6
     = 20

Step 3: Compute the difference
f(2+h) - f(2). f(2+h) - f(2) = (h² + 9h + 16) - 20
                                       = h² + 9h - 4

Step 4: Divide the difference from Step 3 by h.
\(\dfrac{(f(2+h) - f(2))}{h} = \dfrac{(h^2 + 9h - 4)}{h}\)

Therefore, function f of the quantity 2 plus h end quantity minus f of 2 all over h is equal to \(\dfrac{(h^2 + 9h - 4)}{h}\)

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Answer:

Required probability = 2 / 11

Step-by-step explanation:

Sample space of 5 person = 11!

One woman one man arrangement = 2!

Arrangement without woman = 10!

Required probability = [2!][10!] / [11!]

Required probability = 2 / 11

The probability that the parents will be standing next to each​ other is 2/11

Probability is the likelihood or chance that an event will occur.

Given a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!

Pr(parents standing next to each other) =  2!10!/11!

Pr(parents standing next to each other) = 2*10!/11*10!

Pr(parents standing next to each other) = 2/11

Therefore the probability that the parents will be standing next to each​ other is 2/11

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Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

Answer:

Step-by-step explanation:

BAD = 42

x + 103 + 42 = 180

x = 180 - 145

x = 35

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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To find the height of Sophia's fig tree, we subtracted 38 from 74 and got the result that the height of her fig tree is 36 inches.

In this problem, we are given information about the height of Sophia's lemon tree and the relationship between the heights of her lemon and fig trees. We are asked to find the height of the fig tree.

First, we use "f" to represent the height of the fig tree. We are told that the fig tree is 38 inches shorter than the lemon tree, which we know is 74 inches tall. To find the height of the fig tree, we can subtract 38 from 74:

We know from the problem that Sophia's fig tree is 38 inches shorter than her lemon tree, which is 74 inches tall. So we can write the following equation:

f = 74 - 38

Simplifying this equation, we get:

f = 36

Therefore, the height of Sophia's fig tree is 36 inches.

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Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

Answer:

the correct answer is 180.8. i saw that other ppl had this answer on brianly but had 0 star ratings even though they were correct.

Step-by-step explanation: i just took this test and trusted the person who ansered and got it wrong.

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈15.6

Define compound interest?

Given that :

P = $ 6,400

Q = $ 14,000

r = 5%

Let P be the initial investment

r be the rate of interest

t be the time

Q be the increase amount

Q = P \(e^{rt} }\)

14,000 = 6,400 (\(e^{0.05t}\))

\(e^{0.05t}\) = \(\frac{14000}{6400}\)

\(e^{0.05t}\)  = 2.187

Taking log on both sides , we get

0.05t = ln (2.187)

0.05t = 0.78

       t = \(\frac{0.78}{0.05}\)

       t ≈ 15.6

An investment of $6,400 to increase to $14,000 if it is invested at 5% per year compounded continuously is ≈ 15.6

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Answer: I'm sorry I don't know but il try and calculate the answer for you

Step-by-step explanation:

Answer:

the answer is x< -1

Step-by-step explanation:

.........

Step-by-step explanation:

step 1. f(0) = 0/(0^2 + 1) = 0/1 = 0

step 2. -f(x) = -x/(x^2 + 1)

step 3. f(9) = 9/(9^2 + 1) = 9/82.

A function is defined as a relation between a set of inputs having one output each. The values can be written as shown below.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given function is f(x) = \(\frac{x}{x^{2} +1}\), therefore, the values can be found by as shown below. Therefore, we can write,

(a) f(0) = 0/0+1 = 0

(e) – f(x) = - [ x / (x²+1)]

(b) f(9) = 9/(81 + 1) = 9/82

(f) f(x + 1) = (x + 1)/(x² + 2x + 2)

(c) f(-9) = - 9/(81 + 1 ) = -9/82

(g) f(3x) = 3x/(9x² + 1)

(d) f(-x) = -x/(x² + 1)

(h) f(x + h) = (x + h) / [(x+h)²+1]

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The answer is A

The length of segment XY in this problem is given as follows:

XY = 5 cm.

The three trigonometric ratios are defined as follows:

In this problem, we have that segment XY is adjacent to an angle of 45º, with the opposite side has a length of 5 cm, hence the tangent of the angle can be used, as follows:

tan(45º) = 5/XY

It is known that the tangent of 45 degrees is of 1, hence the length of the segment XY is calculated as follows:

1 = 5/XY

XY = 5 cm.

Meaning that the third option is the correct option.

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Answer:

5 cm

Step-by-step explanation:

Answer:

256

Step-by-step explanation:

V=1/3*π*4^2*7,46=124.993

32000/124.99=~256

Answer:

7*2/5 it is a improper fraction

Answer:

\(\frac{7}{1}\), \(\frac{2}{1}\), and \(\frac{5}{1}\)

Step-by-step explanation:

Those are all the improper fraction forms of 7, 2, and 5.

The matching expressions are:

\(i) 3a x 4 = C (12a)\\ii) a^2 x a = A (a^3)\\iii) 6 × 1/2 a^2 = D (3a^2)\)

i) 3a x 4 can be represented as C (12a) since multiplying 3a by 4 gives 12a.

ii) a^2 x a can be represented as A (a^3) since multiplying a^2 by a gives a^3.

iii) \(6 \times 1/2 a^2\) can be represented as D (3a^2) since multiplying 6 by 1/2 and then by a^2 gives 3a^2.

To understand the matching expressions, let's break down each one:

i) 3a x 4:

This expression represents multiplying a variable, 'a', by a constant, 4. The result is 12a, which matches with C (12a).

ii) a^2 x a:

This expression represents multiplying the square of a variable, 'a', by 'a' itself. This results in a^3, which matches with A (a^3).

iii) 6 × 1/2 a^2:

This expression involves multiplying a constant, 6, by a fraction, 1/2, and then multiplying it by the square of 'a', a^2. The final result is 3a^2, which matches with D (3a^2).

Therefore, the matching expressions are:

i) 3a x 4 = C (12a)

ii) a^2 x a = A (a^3)

iii) 6 × 1/2 a^2 = D (3a^2)

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Answer:

Step-by-step Three customers have accounts owing money. The table shows the account balances.

Which customer owes the least amount of money?

Customer Balance

M. Palmer –$56.72

B. Leftwich –$74.19

R. Jordan –$54.31

dose anybody know

:

Answer:

17/10, 1 and 7/10

Step-by-step explanation: