The table shows the relationship between x-values and y-values. Which of the following statements is true?

With Combination, There are the 98280 ways by which we place books on the shelf.

According to the statement

We have to find that the number of ways can by which place books on the shelf.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

From the given information:

The library has 28 science fiction books. Each shelf holds 5 books

Then

apply the combination,

Then

C(n,r) = C(28,5)

after solving it become

C(28,5) = 28! /(5!(28-5)!)

And

C(28,5) = 28! /(5!(23)!)

Then after rearranging the terms and solving the value becomes

C(28,5) = 98280.

So, With Combination, There are the 98280 ways by which we place books on the shelf.

Learn more about Combination here

https://brainly.com/question/295961

#SPJ9

1.111 liters of water must be added to 5 kilograms of soil.

According to the statement, water percentage is equal to the ratio of water mass divided by the total mass of water and dust and multiplied by 100. Then, the initial and final percentages are defined below:

Initial percentage

y / 5 = 0.12                              (1)

Final percentage

(y + x) / (5 + x) = 0.28             (2)

Then, we need to resolve the resulting system of linear equations:

y = 0.6                  (1)

y + x = 1.4 + 0.28 · x

0.72 · x = 1.4 - y

x = 1.944 - 1.389 · y

x = 1.111

We need to add 1.111 kilograms of water. If the density of a kilogram per liter, the volume required in liters is:

V = (1.111 kg) / (1 kg / L)

V = 1.111 L

1.111 liters of water must be added to 5 kilograms of soil.

To learn more on system of linear equations: https://brainly.com/question/27664510

#SPJ1

Answer:

10520000 approximately I think

The interest earned on even a $30,000 deposit compounded monthly at 1% is $15150.75.

Compound interest is applied when the principal amount changes after the specified time period.

For example, if you give someone $500 at a 10% yearly interest rate, $500 is your principal amount. After one year, the interest will be $50, and the principle amount will indeed be $550; therefore, the interest for the following year will be $550, not $500.

P = P₀e^rt where r represents the annual interest rate as well as t represents the time period in years.

So,

P₀ = 30000

r = 1% = 0.01

t = 6 months = 0.5 year

So,

P = 30000e^0.01(0.5)

P = 30000 × 1.5050250835

P = $45150.752505

So, interest

I =45150.752505- 30000 = $15150.75

The interest earned on even a $30,000 deposit over six months at 1% compounded daily is $15150.75

To know more compound interest visit:

https://brainly.com/question/14295570

#SPJ9

Answer: m=20

Step-by-step explanation:

Isolate m by multiplying 5 on both sides. m= 4*5 => m=20

Step-by-step explanation:

9x°+(8x+3)=180°

17x°+3=180°

17x°=180°-3°

17x°=177°

x=177/17

x=10.41

Answer:

ok..I think it Is C or B! not 100% sure tho..

Carl will have $4514 in his account for 10 years

Carl place $3700 in a savings account, this means that the principal is $3700

The rate is 2%

= 2/100

= 0.02

The number of years is 10

Therefore the money that will be in the account for 10 years can be calculated as follows

3700(1 + 0.02¹⁰)

= 3700(1.02¹⁰)

= 3700(1.22)

= 4514

Hence after a period of 10 years Carl will have $4514 in his bank account

Read more on account here

https://brainly.com/question/24726104

#SPJ1

The solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3

The given parameters are

I = PRT

Where

I = 2160, P =24000 and R = 0.03

Substitute I = 2160, P =24000 and R = 0.03 in the above equation I = PRT

2160 = 24000 * 0.03 * T

Evaluate the product

So, we have

2160 = 720 * T

Divide both sides by 720

T = 3

Hence, the solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3

Read more about simple interest at

https://brainly.com/question/20690803

#SPJ1

Answer:

A. 17.5

B. yes

Step-by-step explanation:

7/10=.7 page a minute

25*.7=17.5 pages in 25 minutes

B

she reads .7 pages a minute

2>.7

Answer:

Part A- 17.5 pages. Part B- Yes as he reads 20 pages as you want to have a the same amount as minutes so 1x10 is 10 and you want to do the same with 2 so 2x

10 is 20.

Step-by-step explanation:

Part A- 10 min-7 pages

5min-3.5 pages

7x2=14+3.5=17.5

Answer:625 ft

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Formula is V = x³

For x = 4 feet
V =4³ = 4 x 4 x 4 = 64 cubic feet

The actual area of her office is 50 ft squared.

The blueprint for Zahra's new office measures 4 cm long and 2 cm wide.

The scale for the blueprint is 6 cm to 15 ft.

let's convert the units using the scale

6 cm = 15 ft

4cm = ?

cross multiply

length = 4 × 15 / 6

length = 60 / 6 = 10 ft

6 cm = 15 ft

2 cm = ?

cross multiply

width = 2 × 15 / 6

width = 30 / 6 = 5 ft

Therefore,

area of the actual office = 10 × 5

area of the actual office = 50 ft²

learn more on  scale and area here: https://brainly.com/question/24743277

#SPJ1

Answer:g=2

3g+3-3=9-3

3g=6

3g/3=6/3

g=2

Step-by-step explanation:

there you go

[tex] \bf \implies g \: = 2[/tex]

[tex] \bf \longrightarrow3g + 3 = 9[/tex]

[tex]\bf \longrightarrow3g = 9 - 3[/tex]

[tex]\bf \longrightarrow3g = 6[/tex]

[tex]\bf \longrightarrow g = \bf\frac{ \cancel{6}}{\cancel{3}}2[/tex]

[tex]\bf \longrightarrow g = 2[/tex]

D is a rigt answer.

Step-by-step explanation:

D is a right answer

The researchers came up with this number by making a model with specific coins to determine the difficulty, in terms of the probability of getting this coin.

The researchers Shiyoung Lu and Steven Skiena wanted to know how probable it was to collect a complete set of pennies since 1959 until 1997. By the end of this study, they decided at least 684 coins must be collected to complete this mission.

Firstly, they analyze the probability for getting one coin. From this, it was concluded the probabillity was lower for old coins. After this, they used the data collected from all the coins and created an equation. This equation or model led them to conclude the answer was 684 coins.

Note: This question is incomplete because the text it refers to is missing; here is the name of the text:

"The Probabilities of Pennies"

Learn more about probability in https://brainly.com/question/11234923

#SPJ1

Answer:

I think its -6

Step-by-step explanation:

Hope it helps! =D

Answer:

x = 19

Step-by-step explanation:

The two angles shown here are congruent, so we will set them equal to each other. We will solve for x in the equation:

4x + 18 = 6x - 20

Subtract 4x from both sides:

18 = 2x - 20

Add 20 to both sides:

38 = 2x

Divide by 2 on both sides:

19 = x

So, the answer is “x = 19”

Hope this helps you!

The unit rate is 2 pounds per gallon.

Henry's likely error could have been that he multiplied  fractions instead of dividing.

Given the rate  1/3 / 1/6 pound per gallon, this can be written in the unit rate by dividing 1/3  by 1/6 pound per gallon.

So, 1/3 divided by 1/6 can be written as  [tex]\frac{1/3}{1/6}[/tex]

which further can be simplified as [tex]\frac{1}{3}[/tex] × [tex]\frac{6}{1}[/tex]

and the answer comes out to be 2

Hence, the unit rate is 2 pounds per gallon.

Henry's likely error could have been that he multiplied instead of dividing. That is, he multiplied 1/3 by 1/6, Such that he gets

Hence, the 1/27 pound per gallon he got.

To know more about Fractions - https://brainly.com/question/10354322

#SPJ9

The formula that correctly solves for C is D. C = 5/9 (F - 32)

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given formula is,

F = 9/5C + 32

where Celsius is C, and degrees Fahrenheit is F

To solve for C let us isolate C to the one side and other terms to the other,

9/5 C = F - 32

Multiplying both side by 5/9 we get,

9/5 C *5/9 = 5/9* (F - 32)

or, C = 5/9 (F - 32)

which is the formula for C.

Thus, the formula that correctly solves for C is D. C = 5/9 (F - 32)

To learn more about formula:

https://brainly.com/question/14497449

#SPJ1

Answer:

There are 22 $10 coins and 21 $20 coins.

Step-by-step explanation:

Let x = the number of $10 coins

Let y = the number of $20 coins

You have two unknows so you need two equations.

x + y = 43

10x + 20y = 640.

Rewrite the first equation solving for x

x + y = 43

x = 43 - y  Substitute 43 - y in for x in the second equation.

10x + 20 y = 640

10(43 - y) + 20y = 640

430 - 10y + 20y = 640  Subtract 430 from both sides of the equation

-10y + 20y = 210  Combine the y's

10y = 210  Divide both sides by 10

y = 21  This is the number of $20 coins.

Substitute 21 in for y in either of the original equations to solve for x

x + 21 = 43  Subtract 21 from both sides

x = 22  This is the number of $10 coin.

Check:

Substitute in 21 for y and 22  for x

x + y = 43

21 + 22 = 43

43 = 43  checks

10x + 20y = 640

10(22) + 20(21) = 640

220 + 420 = 640

640 = 640 Checks

The larger bucket paint contains roughly the same amount of thermal energy as each of the smaller buckets of paint.

Thermal energy is the energy possessed by a substance or system as a result of particle movement within the object or system.

As, the thermal energy is due to the kinetic energy.

Thus, the kinetic energy of an object is directly proportional to its mass; thus, doubling the mass doubles the kinetic energy.

In, the given case, the paint contained in the two buckets are combined.

Thus, the mass is remained constant.

The larger bucket also have the the same temperature. thus, the thermal energy will not change.

Therefore, the amount of thermal energy with in larger bucket of paint is roughly equal to the amount of thermal energy in all of the smaller buckets of paint.

To know more about the thermal energy, here

https://brainly.com/question/19666326

#SPJ9

The equation which best represents the total number of letters Natasha puts in envelopes in x hours is y = 42x.

Given,

Number of letters Natasha puts in envelopes = 42 letters in 1 hour

Total number of letters Natasha puts in envelopes in x hours = y

We have to find the equation which best represents y:

Here,

Natasha puts 42 letters in 1hour

So, in x hour Natasha can put 42 × X letters.

That is,

y = 42 × x

y = 42x

Therefore, the equation which best represents the total number of letters Natasha puts in envelopes in x hours is y = 42x.

Learn more about equations here:

https://brainly.com/question/25229487

#SPJ1

Answer:

привет как вы это t6767

Step-by-step explanation:

The set of all real numbers x that satisfies [-3, 14) are :

-3,-2.5, -1.4, -2,-1,0,1, 1.7, 2,π,.....13.

What is Rational number ?

In mathematics, a rational number is any number that can be written as a fraction, in which the numerator (the top number) and the denominator (the bottom number) are both integers, and in which the numerator is not equal to zero. In other words which can be written in p/q form.

Due to the fact that the rational numbers as well as the irrational numbers can be added together, we can derive real numbers. This means that all real numbers are not rational numbers, since they contain irrational numbers as well.

The given set of real number is [-3 , 14) which implies that -3 is included and 14 is excluded in the given set of numbers and it is find the values of x that satisfy the set [-3 , 14) that is :

x includes all the values which can be represented in p/q form for example :

-3,-2.5, -1.4, -2,-1,0,1, 1.7, 2,π,.....13

which includes negative both  rational number, whole numbner, integers, natural numbers.

Therefore, The set of all real numbers x that satisfies [-3, 14) are :

-3,-2.5, -1.4, -2,-1,0,1, 1.7, 2,π,.....13.

Read more about Rational number here :

https://brainly.com/question/24398433

#SPJ1

The value of bonds assuming the bonds are classified as: (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

We are required to Prepare the appropriate journal entry on December 31, 2018, to properly value the bonds assuming the bonds are classified as

1. Trading securities.

2. Securities available for sale.

3. Held-to-maturity securities

For Dec 31,2021: For valuation of the bonds are classified as Trading securities (975,000-920,000) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

For Dec 31,2021: For valuation of the bonds are classified as Securities available for sale (975,000-920,000) is  Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

For Dec 31,2021: No journal entry required as this is held to maturity.

To know more about such questions, click on the link given below:

https://brainly.com/question/17405470

#SPJ1

Answer:

Step-by-step explanation:

x= -2