Lisa finds a treasure chest full of 1000 jewels: 600 emeralds, 300 sapphires, and 100 rubies. She stuffs her pockets full of jewels completely at random, but they can only hold 100 jewels. What is the probability that all 100 jewels she took were sapphires?

Answer:

The number of cubes in the 8th stage of the pattern is 204

Step-by-step explanation:

Here, we want to calculate simply the 8th term of the pattern

T1 = 1

T2 = 1 + 4 = 1 + 2^2 = 5

T3 = T2 + 3^3 = 5 + 9 = 14

T4 = T3 + 4^2 = 14 + 16 = 30

T5 = T4 + 5^2 = 30 + 25 = 55

T6 = T5 + 6^2 = 55 + 36 = 91

T7 = T6 + 7^2 = 91 + 49 = 140

T8 = T7 + 8^2 = 140 + 64 = 204

Answer:

6

Step-by-step explanation:

Number of water bottles bought by Sylvia = 24

Number of water bottles sold by Sylvia = [tex]x[/tex]

Number of water bottles left with Sylvia = [tex]24-x[/tex]

Number of water bottles bought by Sam = 36

Number of water bottles sold by Sam = Three times as many as bottles as Sylvia sold = [tex]3x[/tex]

Number of water bottles left with Sam = [tex]36-3x[/tex]

It is given that the number of water bottles left with Sylvia and Sam are equal.

i.e.

[tex]24-x=36-3x\\\Rightarrow 2x=12\\\Rightarrow x =\bold{6}[/tex]

So, number of water bottles sold by Sylvia = 6

Answer:

1. 0.6

2. 0.25

Step-by-step explanation:

because math

Answer:

x = -4 2/13

x = -4.15384615385

x = -54/13

(they are all the same, just in different formats)

Step-by-step explanation:

(5/3x) + 6 = (2/9)x

first, make all "x"s have a common denominator

(5/3) = (15/9)

so

(5/3)x = (15/9)x

(15/9)x + 6 = (2/9)x

solve using inverse operations

(15/9)x + 6 = (2/9)x

-(2/9)x         -(2/9)x

(13/9)x + 6 = 0

            -6    -6

(13/9)x = -6

to get rid of the fraction, multiply the entire equation by the denominator

(13/9)x = -6

*9          *9

13x = -54

/13     /13

x = -4 2/13

x = -4.15384615385

x = -54/13

(they are all the same, just in different formats)

Answer:

$5.00 ; no

Step-by-step explanation:

Given that:

135 / 360 = 0.375

90 / 360 = 0.25

135/ 360 = 0.375

X ___ 5 _____10 _____ 0

P(x): _0.25___0.375___0.375

Expected value :

ΣX*p(X) :

5(0.25) + 10(0.375) + 0(0.375)

1.25 + 3.75 + 0

= $5

b) If you have to pay $10 to play, is it a fair game?

For the game to be fair :

Amount paid = Expected winning

$10 ≠ $5

Since, amount paid is greater than expected winning, then the game is not fair

Answer:

9 students

Step-by-step explanation:

Let x be the number of students taking only Physics and Chemistry

Number of students :

All 3 sciences = 9

Only physics = 12

Both Physics and Biology( without Chem ) = 24 -9 = 15

15+ 9 + 12+x = 45 , since Physics is compulsory

36 + x = 45

x = 45 - 36

x = 9

Hope it helps :)

Answer:

9

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Rearrange equation so that like terms are on one side and the numbers are on the other.

2x - x = 3 - 7

x = -4

Answer:

x=-10

Step-by-step explanation:

2x-x+7=x-x-3

x+7-7=-3=7

x=-10

Answer:

40 ounces

Step-by-step explanation:

A glass is 8 ounces so:

8 x 5 = 40 ounces

Answer:

Check the pictures above.

Answer:

yx(yx)-x11

Step-by-step explanation:

its the x-axis can contribute with the center so it makes since so its yx(yx)-x11

Answer:

93%

Step-by-step explanation:

Answer:

1.45 x 5 is the answer but i want you to do some work for it and if its wrong im sorry but thats what i calculated it as

Step-by-step explanation:

Answer:

its a straight origin

Step-by-step explanation:

I'm smart

Answer:

m = -2

Step-by-step explanation:

The points I will be using are (-3, 6) and (0,0).

To find the slope, you sub these points into the slope formula - rise over run.

Answer:

The slope is -2

Step-by-step explanation:

to get from (0,0) to (-3,6) you rise 6 and go left 3. Then 6÷-3= -2.

Answer:

Khan Academy

Answer:

khan academy is a great place to go

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

A.

Step-by-step explanation:

24 x 7 = 168

Answer:

The answer is 25 units for the DF measurement

Step-by-step explanation:

Answer:

20x-10(or if solving for x x = -1/2

Step-by-step explanation:

Combine Like Terms

10 5/6x+9 1/6x-1-9 = 19 6/6x -10 = 20x-10

Answer: what-

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

subtract 45,000 (the money you already get) from 90,000 and you get 45,000. next divide 45,000 by 250 and get 180 (the amount of units you need to sell in order to make 90k total)

Answer: Rational  

Step-by-step explanation:

Answer:

6,400

Step-by-step explanation:

The calculation is shown below:-

But before that find the total number of pound in five local bonds

= 400 × 5

= 2,000

Now the amount at six week later is

= Food pounds + 3 × number of pounds + 3 × suplus shipment

= 10,000 + 3 × 2,000 - 3 × 3,200

= 10,000 + 6,000 - 9,600

= 6,400

Therefore according to the given situation the correct answer is 6,400

Answer:

2 3/4 and 11/4

Step-by-step explanation:

Answer:

4(2x+6)=32  x= 1

Step-by-step explanation:

multiply 4 to 2x and 6=   (8x+24)=32

then subtract 24 from 32 = 8

then divide 8 from both sides

8x/8=8/8

x=1

An equation is formed of two equal expressions. The unknown number is 1.

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

Let the unknown number be represented by x.

The given statement can be written in the form of an equation as shown below.

         → 4(2x + 6) = 32

The given equation can be solved as shown below.

4(2x + 6) = 32

Open the parenthesis by multiplying 4 inside the parenthesis,

8x + 24 = 32

Subtract 24 on both sides of the equation,

8x + 24 - 24 = 32 - 24

8x = 8

Divide both sides of the equation by 8,

8x/ 8 = 8/8

x = 1

Hence, the unknown number is 1.

Learn more about Equation here:

https://brainly.com/question/14686792

#SPJ2

Answer:

Your balance will be 48

Step-by-step explanation:

If you have -12 add 60 that will equal 48

Answer:

28

Step-by-step explanation:

14*2=28

Answer:

28 total questions on the science test

Step-by-step explanation:

14 times 2 to get 28 bc if she got 50%, she got half of the questions right

Answer:

36

Step-by-step explanation:

We have the summation:

[tex]\displaystyle{\sum_{i=1}^{9} 2i-6[/tex]

Essentially, we want to find the sum of (2i-6) from i=1 to i=9.

First, using summation properties, we can split this to:

[tex]=\displaystyle{\sum_{i=1}^{9} 2i+\displaystyle{\sum_{i=1}^{9} -6[/tex]

On the right, it will simply be -6 evaluated 9 times. We can also move the constant out from the left:

[tex]=\displaystyle{2\sum_{i=1}^{9} i+9(-6)[/tex]

For the summation on the left, this will simply be the sum (1+2+3+...+9). This yields 45. Therefore:

[tex]=2(45)+9(-6)[/tex]

Evaluate:

[tex]=90-54=36[/tex]

So, our final answer is 36.

the missing term is 5

Hi there !

12x² - 75 =

= 3(4x² - 25)

use formula a² - b² = (a - b)(a + b)

= 3(2x - 5)(2x + 5)

= 3(2x + 5)(2x - 5)

the missing term is 5

Good luck !

Answer:

Place value allows us to take complicated addition subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value or tens hundreds, and thousands.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Place value allows us to take complicated addition, subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value, or tens, hundreds, and thousands.

Hope this helps!!!

Answer:

30x + 20 < 200

Step-by-step explanation:

Given parameters:

Transportation fee = $20

Charge per hour = $30/hr

Unknown:

Inequality representing then number of hours if he has $200 = ?

Solution:

Let the number of hours = x

At most is interpreted in inequality term as <, less than a certain amount;

 For x hours,

     30x + 20 < 200;

 gives the number of hours James have access to the canoe if he has at most $200