A bag contains 4 black and 3 pink balls. A ball is picked from the bag and is not replaced. A second ball is then picked from the bag.
The tree diagram below can be used to calculate various probabilities.
What is the probability of picking one
ball of each colour?
A
4/49
B
24/42
C
1/2
D
12/42

Given:

9x+5y=28

5x+9y=56

Required:

To calculate the solution of the system

Explanation:

Rearrange like terms to the same side of the equation

Required answer:

Option B

The perimeter of a figure is found adding the length of all its sides.

In this case, the perimeter is:

P = (x + 6) + (3x - 2) + (x- 3) + (x+ 2) + (x) + (x + 5)

P = (x +3x + x +x + x + x) + (6 - 2 -3 +2 + 5)

P = 8x + 8

1) [tex]VX=ZX, \angle XVY=\angle XZW[/tex] (given)

2) [tex]\angle X=\angle X[/tex] (reflexive property)

3) [tex]\triangle VXY \equiv \triangle ZXW[/tex] (ASA)

a) 7 - 5 = 12

2 = 12 This is not a solution

b) 5 + 7 = 12

12 = 12 This is a solution

c) 7 + 12 = 19

19 = 19 This is a solution

d) x - 5 = -12

7 - 5 = -12

2 = -12 This is not a solution

Answer:

C. (5, 5)

Step-by-step explanation:

To do this, you take each coordinate and perform the function that is shown in the translation.

So for (x-2, y+3),

you are going to take the x value of the coordinate you are given:

(7,2) and subtract 2, and then take the y value of (7,2) and add 3.

(7 - 2, 2 + 3)

Then solve this:

(5, 5)

The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Given that,

x is the labor cost per hour.

The technician worked on the computer for 4.25 hours.

Total labor cost = 4.25x

The total parts cost = $54

The total charged cost = total parts cost + total labor cost

585.25 = 54 + 4.25x

4.25x + 54 = 585.25

Hence "The equation which is helpful to determine x, the cost of the labor per hour is 4.25x + 54 = 585.25".

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Let's use some examples where we have order of operations and also there are negative numbers and signs involved:

Let's evaluate the following:

(-4) x 5 + (-6)

So order of operations tells us to first take care of the multiplications and after that, deal with the additions or subtractions.

So the multiplication goes first here:

(-4) times 5 = - 20

Recall that a positive number times a negative number gives alwasy a negative number. So negative times positive gives the negative sign to the multiplication, and then, once the sign is taken care of, you multiply the numbers (4 x 5 = 20)

Next, we do the indicated addition

-20 + (-6) = -20 - 6 = -26

weher again we use the property that the + times the - inside the parenthesis gives a minus. ad we finalize by doing -20 - 6 = -26 (combining of two negative numbers).

Another example:

(8 + (-5)) x (-8)

So we first work on solving what is inside the first parenthesis :

8 + (-5) this is 8 - 5 (as we did before, the plus outside the parenthesis where -5 is, results in a minus sign as it multiplies the "-" that is shown ahead of 5.

So, inside this parenthesis we get: 8 - 5 = 3

Now we are left to multiply 3 times (-8)

This is a product of a positive number (3) times a negative number (-8). Again, do the rule for product of the signs (positive times negative equals negative) , ad then the product of the numbers: 3 x 8 = 24

so the answer is - 24

Another example:

(-9) x ((-10)+ 10)

We need to start by solving the operation indicated inside the parenthesis:

(-10) + 10 This is the same as: - 10 + 10 = 0

Now, whenwe use this result in the full expression, we get:

(-9) x 0 = 0 SInce any number multiplied times zero is zero.

Answer it is c because when you multiply 12 x 5 you get 60 right so round up to the nearest number 62 an u can't subtract or divide you won't get a or b

Answer:

she has left 28 unsolved problem or whatever it is

Step-by-step explanation:

48:12=4

4x7=27

Scatter drawing plot

Step-by-step explanation:

Original Equation:

[tex]x^2+5=0[/tex]

Subtract 5 from both sides

[tex]x^2 = -5[/tex]

Take the square root of both sides

[tex]x=\pm\sqrt{-5}[/tex]

Simplify

[tex]x=\pm i\sqrt{5}[/tex]

Thus we have two non-real solutions, and zero real solutions. This implies that the graph will never cross the x-axis when graphing the function out, because it has no real solutions.

In order to determine the weighs of the boxes, name x as the larger box and y as the smaller one.

Then, based on the given situation, you can write the following equations:

3x + 2y = 86

8x + 4y = 209

Solve the previous system of equations as follow:

Multiply the first equation by -2 and add the result to the second equation:

(3x + 2y = 86)(-2)

-6x - 4y = -172

8x + 4y = 209

-6x - 4y = -172

2x = 37

Solve the previous equation for x by dividing by 2 both sides:

x = 37/2

x = 18.5

Next, replace the previous value of x into any of the equations of the system, for instance, into the first equation, and solve for y:

3x + 2y = 86

3(18.5) + 2y = 86

55.5 + 2y = 86

2y = 86 - 55.5

2y = 30.5

y = 30.5/2

y = 15.25

Hence, the weighs of the boxes are:

larger box = 18.5 kg

smaller box = 15.25 kg

Answer:

The answer is 5

Step-by-step explanation:

( 4k+2 ) / 10 = x

( 4(12) + 2 ) / 10 = x

( 48 + 2 ) / 10 = x

50 / 10 = x

x = 5

To find the volume of the computer, we just have to multiply each coordinate.

Answer:

The answer to your question is:

False.

Step-by-step explanation:

If prices increase, then no one would want to buy the product. No one would come.

Therefore, the correct answer is;

When prices increase, supply decreases.

The answer is ..

The angle BOC has a measure of 50 degrees

From the question, the given parameters about the angles are:

The above parameters implies that

AOC = AOB + BOC

Next, we substitute the angle measurements in the above equation

So, we have

142 = 9x + 20 + 7x - 6

Evaluate the like terms

So, we have the following equation

142 = 16x + 14

Evaluate the like terms again

So, we have the following equation

16x = 128

Divide both sides by 16

x = 8

Substitute x = 8 in BOC = 7x - 6

BOC = 7 x 8 - 6

Evaluate

BOC = 50

Hence, the measure of the angle is 50 degrees

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Answer:

108°

Step-by-step explanation:

[tex]m\angle 3=72^{\circ}[/tex] (corresponding angles)

[tex]m\angle 1=108^{\circ}[/tex] (linear pair)

The equations that represent the diagram given are 7 + 8h = 167, 8h = 160

To find the equation that represent the situation, we should simply count the number h present in the diagram, add it to 7 and equate the entire length to 167 which is the length of the tube.

This can be represented mathematically as

[tex]7 + h + h + h + h + h + h + h + h = 167[/tex]

we can simplify this further as

[tex]7 + h + h + h + h + h + h + h + h = 167\\7 + 8h = 167\\[/tex]

This can also be simplified as

[tex]7 + 8h = 167\\8h = 167 - 7\\8h = 160[/tex]

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f(x)= x^2

To shift 5 units to the right subtract 5 to x .

g(x)= (x-5)^2

Answer:

solution:

Here,3[ 2^(x-3) ] = 384

or,     2^(x-3)       =  ( 384 /3 )

or,     2^(x-3)       =  128

or,     2^(x-3)       =  2^(7)

or,     x                =  7+3

Answer:

-15, -5, 0, 10, 25

Step-by-step explanation:

Answer:-

15, -5, 0, 10, 25

Least  -> greatest  

Step-by-step explanation:

By comparing both polygons, we can tell that they are not the same polygon, since one of the sides has length 11 in one trapezoid and 12 in the other. So, this polygons are similar. We notice that the variables X and Y are part of the angles. In polygons that are similar, the measure of the homologous angles are equal. By homologous we mean angles that are located at the same place in both figures. To determine the homologous angles, we should have both figures drawn in the same orientation. To do so, we will flip the trapezoid on the left, so its orientation matches the one fromt the right. I picture of this flipping would be

From this picture, by comparing it to the other polygon, we determine that the angle EDC is homologous to the angle UTS. So, their measure should be the same. So, we get the following equation

By adding 37 on both sides and subtracting y on both sides, we get

This implies that y = 39°.

By doing the same procedure, we find that the angles URS and CBE are homologous. So their measures are equal and we get the equation

Then, by subtracting 13 on both sides

If we divide both sides by 2 we get

So x = 19°.

Answer:

10 to the second power

Explanation:

Let the unknown value be x

The given expression can be rewritten as:

Express as a fraction;

Cross multiply

Hence the required unknown number in the exponential power of 10 is 10^2

Answer:

15

Step-by-step explanation:

5/2=2.5

35/2.5=15

Step-by-step explanation:

To make 5 batches of cookies, 10 cups of flour are required.

To make 1 batch of cookies:

10 cups ÷ 5 cups = 2 cups of flour

start by calculating the 7% of all the sales

Calculate the bonus from the comission

The total gross pay will be the addition between the comission and bonus

The monthly income will be the division between 12 months of the year

Given:

Mean = 200

Standard deviation = 26

a) Find the standard error for a sample size of 10:

Substitute the values:

Answer: 8.22

EXPLANATION

The coordinate for point A is x=9

We have that approximately, the distance from Saturn to Jupiter is:

and the distance from Jupiter to Mars approximately is:

then, the total distance traveled would be the sum of these two quantities:

therefore the total distance is 7.98x10^8 miles

The expression that is equivalent to the expression illustrated is 1/12g - 18.

It should be noted that an expression is used to show the relationship between the variables.

The expression will be illustrated as:.

= 5/4g - 3 - 7/12g - (1/3g + 15)

= 5/4g - 3 - 7/12g - 1/3g - 15

= 5/4g - 7/12g - 1/3g - 3 - 15

= 15/12g - 7/12g - 4/12g - 18

= 1/12g - 18

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