How many different ways could I order the books on my shelf?" I have enough room for 11 of my 31 books. How many different ways could I order 11 books on my bookshelf?

Answer:

1 quart = 32 ounces

so we have 64 ounces

8.32 ÷ 64 ounces = $0.13 per ounce

Step-by-step explanation:

Ok, so first...

a) if x is positive, it will remain x, so *x<7*

b) if x+3 is positive, it will be x+3<9 but you have to simplify it so you subtract 3 on both sides and get *x<6*

c) if y-8 is positive, it will stay like that, and you then add 8 on both sides to get *y>19*

g) if 3x-1 is positive, it will be 3x-1 greater than or equal to 18. add 1 on both sides and *3x > or = to 18*

4y+3 < or = 13. subtract 3 on both sides and you get *4y < or = 13*

One more thing:

Less than or equal to is a '<' with a line underneath.

Greater than or equal to is a '>' with a line underneath.

Step-by-step explanation:

First we solve it.

I'll use substitution.

In the first equation y equals -2x+2 so we can apply that to the second equation

2y + 4x = 4

2(-2x+2) + 4x = 4

distribute

-4x+4+4x=4

simplify

4=4

To figure out how many solutions it has:

•If both side of the equal sign are exactly the same: Infinitely many

ex: 6x=6x

•If both sides of the equal sign do not match when completely simplified: No solutions

ex: 3x=-5x

•If it creates an equation: 1 solution

ex: x=3+2y

Since both sides of the equal sign are 4, we have infinitely many solutions.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Still stuck? Get 1-on-1 help from an expert tutor now.

Answer: 46.9%

Step-by-step explanation:

Step-by-step explanation:

1.

x=5

y=4

2.x=4.2

y=19.8

3. x=16

y=70.4

4. a=28

b=25/7

5.a=20

b=18

6. a=51

b=75

7. x=30

y=21

8.a=27

b=6

hope it helps:)

ignore that fig '-'

Answer:k

Step-by-step explanation:

Step-by-step explanation:

Train 1 speed be 'u'

Train 2 speed be 'v'

And v=2u

Speed=distance/time

Trains going in opposite directions

Relative speed= v-u (as train 1 I slower than train 2)

v-u=600/4

2u-u=150

u=150miles/hour

v=300miles/hour

The histogram showing the number of events with the events cost is

misleading because;

Please find attached a possible diagram of the histogram in the question

created with MS Excel;

The data in the histogram is presented as follows;

[tex]\begin{array}{|c|c|c}Event \ Cost&Number \ of \ Events\\1000- 1499&2\\1500-1999&4\\2000-2499&3\\3000-3499&1\end{array}\right][/tex]

From the above table, we have that the class with event cost of 2000 to

2499 is left out, therefore, the data is more clustered.

The correct option is therefore;

The x-axis scale shows the data is more clustered than it actually is

Learn more about histograms here:

https://brainly.com/question/1413492

Answer:

its a

Step-by-step explanation:

got it right on edge

12+z=56

z=56-12

z=44

26-x=17

-x=17-26

-x=-9

x=9

8+5z=43

5z=43-8

5z=35

z=35/5

z=7

Answer:

3m+4n

Step-by-step explanation:

5m-2m=3m 3n+n=4n so 3m+4n

Answer:

7.35 is 49% of 15.

Step-by-step explanation:

Answer:

7.35%

Step-by-step explanation:

Answer:

x² + 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Answer:

x = 25

Step-by-step explanation:

The sum of the three interior angles of a triangle is always 180°.

4x + 2x + 30 = 180

6x + 30 = 180

6x = 150

x = 25

Answer:

sum of the interior angles of a triangle =180

2× + 4× + 30=180

6× + 30= 180

6× + 30 = 180

6× = 180-30

6× =150

6×/6=150/6

×= 25

Answer:

80 / C

Step-by-step explanation:

Easy peasy 161 divided by 2 is 80.5, but you can't buy half of a sign. Round downwards.

Answer:

C

Step-by-step explanation:

Answer:

Answer:

Triangle =  1 1/2

Square = 10

Step-by-step explanation:

Given:

Triangle + Triangle + Square + Square = 23

Square - Triangle = 4 1/2

10 + 10 + 1 1/2 + 1 1/2 = 23

Hence, Square = 10 and Triangle = 1 1/2

~Lenvy~

Answer:

the correct answer for the rectangular prisim is 32

The surface are of the rectangular cuboid is 32.

1. Label the length (l), width (w), and height (h) of the prism

2. Use the formula, SA=2lw+2lh+2hw, to find the surface area.

Another option:

- Add the areas of all 6 faces

Answer:

count 1035 28 times i guess.

Step-by-step explanation:

AnswerA &D

Step-by-step explanation:A

D

Step-by-step explanation:

it is the vertical of 5 and 6 aww you can do that

Answer:

The answer is 13

Step-by-step explanation:

ABC is equal to GHI, so AB = GH which is 13

[tex]\textit{circumference of a semi-circle}\\\\ C=\pi r~~ \begin{cases} \stackrel{\textit{half diameter}}{r=radius}\\[-0.5em] \hrulefill\\ r=8 \end{cases}\implies C=\pi (8)\implies \stackrel{using~\pi =3.14}{C=25.12}[/tex]

Answer:

11+n

Step-by-step explanation:

eleven increased by a number

11+n

hope it helps

x = 25

Hi there !

4x - 25 = 25 + 2x

4x - 2x = 25 + 25

2x = 50

x  = 50 : 2

x = 25

Good luck !

Answer:

10

Step-by-step explanation:

The radioactive isotopes of an element are known as radioisotopes.  The radioisotope sample that is given is Barium-139.

The radioactive isotopes of an element are known as radioisotopes. Atoms with an unstable mix of neutrons and protons, or excess energy in their nucleus, are also known as neutron-proton atoms.

As it is given that the initial mass of the sample at 12:02:00 PM is,

[tex]m_1=104.8\ kg[/tex]

The Mass of the sample at 4:11:00 PM is given as

[tex]m_2 = 13.1 kg[/tex]

So here since it is a sample of radioactive isotope so here we will say

[tex]m_2=m_1e^{-\lambda t}[/tex]

Now from the above data, we know that the time taken to reduce the mass is

[tex]\rm t = 4\ hours\ 9\ minutes = 4.15\ hours[/tex]

Further, from the above equation, we will have

[tex]13.1 =104.8 e^{-\lambda(4.15)}\\\\\lambda(4.15)=2.08\\\\\lambda = 0.50/ hour[/tex]

So here half-life is given as

[tex]\rm T_{\frac12}=\dfrac{ln2}{\lambda}\\\\ T_{\frac12} = 1.4\ hours[/tex]

Thus, here this isotope must be the one that will have a half-life of 1.4 hours

Therefore, it is nearly Barium-139.

Hence, the radioisotope sample that is given is Barium-139.

Learn more about Radioisotope:

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An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The value of y in the equation is -1.5.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of y in the equation can be found in the following manner,

[tex]2y=-3\\\\y=\dfrac{-3}{2}\\\\y = -1.5[/tex]

Hence, the value of y in the equation is -1.5.

Learn more about Equation:

https://brainly.com/question/2263981

Answer:

-1

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

m =  1 - (-1) / 3-2 = 2/1 = 2

m = -3 - (-1) / 1 - 2 = -2/-1 = 2

Answer:

.8888888889

Step-by-step explanation:

caculator

Answer:

The number that both a rational number and a whole number is 22

Step-by-step explanation:

The whole numbers are the non-negative integers

The integers are rational numbers with denominators 1

The rational numbers are the numbers that can be written in the form of [tex]\frac{a}{b}[/tex] ,

b ≠ 0

Let us study the numbers in the figure:

The set of whole numbers ⊂ the set of integers ⊂ the set of rational numbers

∵ 22 ∈ the set of whole numbers

∴ 22 is a whole number

∴ 22 is a whole number and an integer

∴ 22 is a whole number, an integer, and a rational number

The set of integers ⊂ the set of rational

∵ -88 and -191 ∈ the set of integers

∴ -88 and -191 are integers

∴ -88 and -191 are integers and rational numbers

∵ -10.1 ∈ The set of rational numbers

∴ -10.1 is a rational number

Let us answer the question

→ We need to find a number that is a rational number and a whole number,

   which means it must ∈ to the set of the whole numbers

∵ We only have one number ∈ the set of whole numbers, it is 22

∴ The number that both a rational number and a whole number is 22