A bag of marbles contains 3 red marbles, 7 blue marbles, and 5 orange marbles. If a marble is drawn from the bag and not replaced, then a second marble is drawn. Calculate P(red then orange):

Answer:

x = 1 , y = 1 , z = -3

Step-by-step explanation using elimination:

Solve the following system:

{3 x + 2 y - z = 8 | (equation 1)

2 z + 2 x = -4 | (equation 2)

3 y + x = 4 | (equation 3)

Subtract 2/3 × (equation 1) from equation 2:

{3 x + 2 y - z = 8 | (equation 1)

0 x - (4 y)/3 + (8 z)/3 = -28/3 | (equation 2)

x + 3 y+0 z = 4 | (equation 3)

Multiply equation 2 by 3/4:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

x + 3 y+0 z = 4 | (equation 3)

Subtract 1/3 × (equation 1) from equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

0 x+(7 y)/3 + z/3 = 4/3 | (equation 3)

Multiply equation 3 by 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x - y + 2 z = -7 | (equation 2)

0 x+7 y + z = 4 | (equation 3)

Swap equation 2 with equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x - y + 2 z = -7 | (equation 3)

Add 1/7 × (equation 2) to equation 3:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x+0 y+(15 z)/7 = -45/7 | (equation 3)

Multiply equation 3 by 7/15:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y + z = 4 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract equation 3 from equation 2:

{3 x + 2 y - z = 8 | (equation 1)

0 x+7 y+0 z = 7 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 2 by 7:

{3 x + 2 y - z = 8 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{3 x + 0 y - z = 6 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Add equation 3 to equation 1:

{3 x+0 y+0 z = 3 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Divide equation 1 by 3:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = -3 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = -3

Answer:

the one on the right

Step-by-step explanation:

one input cannot have more than one output

Answer: 250 miles

Step-by-step explanation: 440/8 = 50

50 x 5 =  250

Answer:

yeah its parrellell

Step-by-step explanation:

Answer:  The distance is 15

Step-by-step explanation:

To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.

-7-5= -12

0-9 = -9

12^2 + 9^2 = d^2   where d is the distance

144 + 81 = d^2

225 = d^2

d= [tex]\sqrt{225}[/tex]  

d= 15

Answer:

6

Step-by-step explanation:

Multiply 2*3

you have two groups and you put 3 people in them you get 6 people in total

Answer:

543.6

Step-by-step explanation:

=> 6 x 90.6

=> 543.6

Answer: 15

Step-by-step explanation: 5/9=15/27. 27-15=12

The number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

A ratio is an ordered pair of numbers x and y which can be written as x / y where y does not equal 0.  A proportion is an equation in which two ratios are set equal to each other.

For given information,

The ratio of yellow to blue skittles in the bag is 5:9

The number of blue skittles in the bag = 12 + The number of yellow skittles in the bag= 12+Y

Fraction of the total skittles that are yellow = 5/(5 + 9) = 5/14

Fraction of the total skittles that are blue = 9/(5+9)= 9/14

The total number of skittles = Yellow + Blue

in this Y as yellow; Y+12 as blue.

Y + Y + 12 = 2·Y + 12

The fraction of the total skittles that are blue = 9/14

we have 9/14 × (2·Y + 12)  = Y + 12

-> 9 × (2·Y + 12) = 14 × (Y + 12)

-> 18·Y + 108 = 14·Y + 168

-> 18·Y - 14·Y = 168 - 108 = 60

-> 4·Y = 60

-> Y = 60/4 = 15

∴ The number of yellow skittles in the bag = 15

The number of blue skittles is given as = Y + 12 = 15 + 12 = 27.

Thus, the number of yellow skittles in the bag are 15 skittles while the number of blue skittles in the bag are 27 skittles.

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Answer:

[tex]y^4[/tex]

Step-by-step explanation:

[tex]y^2*y^2[/tex]

Let's multiply the 2 by the other 2.

[tex]2*2=4[/tex]

Let's combine it all together

[tex]2*2\\y[/tex]

Since we already know that [tex]2*2[/tex] is [tex]4[/tex] , we add it to the y.

[tex]y^4[/tex]

Hope this helps!

⅔ - ½ = 4/6 - 3/6 (make denomenator the same)

= 1/6

Thus, 1/6 = 40 litres

A full tank is 6/6 which equals to 1 whole

So,

1 unit (from 1/6) = 40 litres

6 units (from 6/6) = 40 × 6

= 240 litres

Therefore, the tank holds 240 litres when it is full.

( i hope my solution helps :3 )

The number of  liters does the tank hold when full is 240 liters.

Formulate

x=40÷⅔ - ½

Let find the common denominator

x=40÷4-3/6

Calculate the sum or the difference

x=40÷1/6

Divide the fraction

x=40×6

x=240 liters

Inconclusion the number of  liters does the tank hold when full is 240 liters.

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Answer:

From air,water and also food

Answer:

C

Step-by-step explanation:

Answer:

0.05 mile per minutes

Step-by-step explanation:

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered

Miles covered = 1 mile

Time covered = 20 minutes

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)

= 1 mile / 20 minutes

= 0.05 mile per minutes

20 minutes

= 20 × 60 seconds

= 1200 seconds

Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)

= 1 mile / 1200 seconds

= 0.0008333333333 miles per seconds

Approximately 0.000833 miles per seconds

Answer:

$1643.74

Step-by-step explanation:

The seller sell at $1730.25, makes 5%

Profit made = $1730.25*5% = $86.51

Hence, the wholesales price = Sales price - Profit made

Wholesales price = $1730.25 - $86.51

Wholesales price = $1643.74

Answer:

$9.35

Step-by-step explanation:

To solve this, all you have to do is add up all the costs Ashley experienced while attending the festival.

Popcorn $3.60

Drink       $0.75

Ride        $5.00

Total Cost $9.35

I hope this helps!

-TheBusinessMan

Answer:$9.35

Step-by-step explanation: first you add $3.60 and $0.75 which equals $4.35 then add $5.00 which would equal $9.35

Answer:

The bait is 14 feet below the water surface

Step-by-step explanation:

Here, we want to know the final position of the bait relative to the surface of the water.

Firstly, he starts with the bait at 2 feet below the water surface. The reels out the bait a further 19 feet, the new position of the bait relative to the water surface will be 2 + 19 = 21 feet

Now, he reels the bait back by 7 feet.

Thus, the new depth of the bait relative to the water surface will be 21-7 = 14 feet

Answer:

f(x) = -x+1

to find x-intercept/zero substitute f(x)=0.

0=-x+1

0=-x+1  move variable to the left-hand side and change its sign.

x=1

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-4-5)^2+(-3-4)^2}=\sqrt{(-9)^2+(-7)^2}=\sqrt{81+49}=\sqrt{130}\\\\d=11.4017...\approx11.4[/tex]

Answer: I think the answer is "d = vt"

Step-by-step explanation:

Multiply both sides of the equation by;

t * d = v * (t)

Multiply, v by t

Answer; d = vt

Hope this helps :)

The value of d, is equivalent to d = v/t.

An expression in mathematics defines a relationship between one variable (the independent variable, x)  and another variable (the dependent variable, y). For example -

f(x) = 4x + 6

Given is the following equation -

dt = v

We have -

dt = v

d = v/t

Therefore, the value of d, is equivalent to d = v/t.

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Answer:

15 pints of paint 6 red 9 yellow

Step-by-step explanation:

3x3=9 so 9 yellow pints

and 2x3=6 so 6 red pints

6+9=15 so 15 pints of paint in total

Answer:

Vertex Coordinate  Vertex Coordinate

A (1, 1)  AEF (1, 1)

B (2, 3)  BEF (3, 2)

C (3, 2)  CEF (2, 3)

D (2, 1)  DEF (1, 2)

Step-by-step explanation:

Plato sample

We have wrote the coordinates.

An expression is a number, a variable, or a combination of numbers and variables and operation symbols

We have

Vertex Coordinate  Vertex Coordinate

A (1, 1)  AEF (1, 1)

B (2, 3)  BEF (3, 2)

C (3, 2)  CEF (2, 3)

D (2, 1)  DEF (1, 2)

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Answer:

2√3=2√3, which is irrational

Answer:

30/7

Step-by-step explanation:

So we have the equation:

[tex]2x-30+5x+2=2[/tex]

Combine like terms:

[tex](2x+5x)+(-30+2)=2[/tex]

Add:

[tex]7x-28=2[/tex]

Add 28 to both sides:

[tex]7x=30[/tex]

Divide both sides by 7:

[tex]x=30/7[/tex]

So, our answer is 30/7

Or approximately 4.2857 :)

Answer:

Step-by-step explanation:      

Step 1: Subtract 15 from both sides.

1.5r+15−15=2.25−15

1.5r=−12.75

Step 2: Divide both sides by 1.5.

1.5r

1.5

=

−12.75

1.5

r=−8.5

Answer: r=-8.5

Step-by-step explanation:

1.5r+15=2.25

1.5r+15-15=2.25-15

1.5r=-12.75

1.5r/1.5=-12.75/1.5

r=-8.5

Answer: x=27

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The pattern here is to subtract by 4, so 15-4=11

Total cost as the function of shirts is :

C(x) = mx + 500 .

It is given that , The total cost to produce 100 shirts is $800.

800 = 100m + 500

m = 3

So , cost is given by :

C(x) = 3x + 500 .

Now , putting x = 1000 .

We get :

C(x) = 3x + 500

C(x) = 3(1000) + 500

C(x) = $3500

Therefore , cost of producing 1000 shirts is $3500 .

Hence, this is the required solution .

   Total cost to produce 1000 shirts will be $3500.

            y = mx + b

            Here, m = constant

Given in the question,

Equation representing company's total cost C(x) and number of shirts 'x' as,

C(x) = mx + 500

Here, m = constant

And x > 0

          800 = m(100) + 500

             m = 3

        Equation for the total cost to produce the 'x' shirts will be,

        C(x) = 3x + 500

        C(x) = 3(1000) + 500

             x = $3500

     Therefore, total cost to produce 1000 shirts will be $3500.

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======================================================

Explanation:

Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x

f(x) = -2x+2

0 = -2x+2

2x = 2

x = 2/2

x = 1

Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.

-----------------------

Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).

First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.

m = (y2-y1)/(x2-x1)

m = (3-6)/(1-0)

m = -3/1

m = -3 is the slope

The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.

So with m = -3 and b = 6, we see that g(x) = -3x+6.

-------------------------

Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top

g(x) = -3x+6

0 = -3x+6

3x = 6

x = 6/3

x = 2 is the x intercept of g(x)

--------------------------

In summary, we found...

Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.

Answer:

length = (3*width) -2

length + 2 = 3*width

width = (length +2) / 3

2*length + 2*width = 68

OR: 2*length = 68 -2*width

If length = (3*width) -2 then

2*length = 6 * width -4

therefore,

6 width -4 = 68 -2 width

8 width = 72

width = 9

Since 2 length + 2 width = 68

then 2 length = 68 -2 width

2 length = 68 -18

length = 25

Step-by-step explanation:

Answer:100/400

Step-by-step explanation:

The answer is 10 calories per minute, will tai burn in 1 minute while biking.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

We do not have much information to go on such as the speed that Tai is biking or his/her weight.

Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results.

Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute.

Therefore we can assume that Tai is burning roughly 10 calories per minute.

his rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.

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complete question:

How many calories will tai burn in 1 minute while biking? Enter the answer in the box.