There are 20 tiles in a bag. Of these, 9 are purple, 5 are black and the rest are white.
Event A = drawing a white tile on the first draw
Event B = drawing a black tile on the second draw
If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in simplest form?

Answer:

f(a + 2)= (5 + a) / (a - 1) or f(a+2)= (a+5)/(a-1)

Step-by-step explanation:

f(x)=(3+x)/(x-3)

To evaluate f(a+2), simply replace the x with a+2

f(a+2) = (3 + a+2)/(a+2 - 3)= (a+5)/(a-1)

or

To answer items such as this, we directly substitute the a + 2 to the all the x's in the function:

f(a + 2) = (3 + a + 2) / (a + 2 - 3)

Simplifying the function generated above:

f(a + 2) = (5 + a) / (a - 1)

Step-by-step explanation:

f(x) = 3+x/x-3

Substituting x = a+2, we get

[tex]f(a + 2) = \frac{3 + (a + 2)}{(a + 2) - 3} \\ f(a + 2) = \frac{a + 5}{a - 1} [/tex]

which is the final answer.

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Answer:

[tex]y>-3x+6[/tex]

Step-by-step explanation:

First find the equation of the "boundary line" that separates the two sections of the plane. It is very simple to find its slope_y-intercept form from the graph.

We can find the slope of the boundary line by examining the two points where it intersects the axes: It crosses the y-axis at (0,6) (0 for x, 6 units for y)

and also crosses the x axis at (2,0) (2 unites for x and 0 for y)

That means that from the y intersect crossing, in order to arrive at the x intersect crossing, one has to go:

2 units to the right (this is called "run")

and 6 units down (this is called "rise", but should be considered as a negative value because instead of "rising" is going down)

Therefore, the slope of the boundary line is: [tex]slope = \frac{rise}{run} = \frac{-6}{2} = -3[/tex]

We also see that the y-intercept is = 6 (the point at which the line crosses the y-axis.

Then, we can write the equation of the boundary line as:

[tex]y = -3 x + 6[/tex]

Now, the set of (x,y) points that are highlighted in the picture are those "ABOVE" the boundary line, that is those points where the y-value is greater than those defined by the boundary line. Since the boundary line is drawn with a dotted line, that indicates that those values corresponding to (x,y) values in the line itself should NOT be included.

We therefore arrive at an inequality that does not contain an equal sign (to preclude the actual (x,y) values in the line to be included). and which indicates that we want all the (x,y) points on the plane which have y-values greater than those define by the boundary line. That is:

[tex]y>-3x+6[/tex]

Answer:

48 - 2x

Step-by-step explanation

minus = decreased

2x= twice a  number

The expression is 2n-48.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Let the number be n.

The expression formed form the sentence is

2n - 48

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Answer:

5x - y = - 3

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = 5x + 3 ( subtract y from both sides )

0 = 5x - y + 3 ( subtract 3 from both sides )

- 3 = 5x - y, that is

5x - y = - 3 ← in standard form

Answer: Find the lowest common denominator of the 2 denominators

Step-by-step explanation:

The common in both denominator is 15.

3: 3,6,9,12,15,18,21,24,27,30

5: 5,10,15,20,25.30,35,40,43,50

Since 5x3 is 15, 1/5 x 3/3= 3/15

Since 3x5 is 15, 2/3 x 5/5= 10/15

3/15 is equivalent to 1/5 and 10/15 is equivalent to 2/3.

3/15 + 10/15 is equal to 13/15

13/15 can't be simplified because they are both odd numbers and they have less than 2 factors.

Hope this helped! Have a nice day! :D  

Final answer:

To add 1/5 and 2/3, you must find the LCD, which is 15, convert the fractions to have the same denominators, then add them to get the sum of 13/15.

Explanation:

To add the unlike fractions 1/5 and 2/3, we first need to convert them to equivalent like fractions using their Least Common Denominator (LCD).

Prime factorize the denominators: 5 is already a prime number, and 3 is also a prime number.

To find the LCD, we take the product of the different prime factors, which is 5 × 3 = 15.

Convert each fraction by multiplying by an appropriate form of '1' to get the same denominator: 1/5 = (1×3)/(5×3) = 3/15 and 2/3 = (2×5)/(3×5) = 10/15.

With like denominators, we can now add the fractions: 3/15 + 10/15 = 13/15.

The final answer, 13/15, is already in its simplest form and cannot be reduced further.

Answer:

1. C

2. C

3. A

Step-by-step explanation:

Answer:

[tex]\large\boxed{[0.5;\ \infty)}[/tex]

Step-by-step explanation:

[tex]2(4x-3)\geq-3(3x)+5x\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(2)(4x)+(2)(-3)\geq-9x+5x\\\\8x-6\geq-4x\qquad\text{add 6 to both sides}\\\\8x\geq-4x+6\qquad\text{add}\ 4x\ \text{to both sides}\\\\12x\geq6\qquad\text{divide both sides by 12}\\\\x\geq\dfrac{6}{12}\\\\x\geq\dfrac{1}{2}\to x\in\left[\dfrac{1}{2};\ \infty\right)[/tex]

The question is about solving an inequality, but the actual inequality is not fully provided. General steps have been given to approach solving such problems, with a note that a specific solution requires the complete inequality. The student should provide the full inequality for a precise solution.

The student is asking for help with solving an inequality problem. Without a complete and clear inequality provided, we are unable to give a full step-by-step solution. However, I can provide a general approach to solving linear inequalities:

If the student provides the full inequality, using these steps will lead to the solution, where you would then graph the solution set on a number line and use either parenthesis or brackets to denote whether endpoints are included (for 'greater/less than or equal to') or excluded (for 'greater/less than').

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Step-by-step explanation:

let the num be 3x & 4x

3x+4x=28

7x=28

x=28/7

x=4

now, num of girls=3x=3×4=12

& num of boys=4x=4×4=16

Answer: 12 girls

Step-by-step explanation: You first want to make this equation become a fraction with the number of girls on top and the total on bottom. This becomes 3/7. To make this over 28, multiply by 4 on the top and the bottom. This makes 12/28, making 12 girls the answer.

Answer:

343.

Step-by-step explanation:

7(49)

= 7(40 + 9)

= 7*40 + 7*9

= 280 + 63

= 343.

Answer:

Both of them are the mode

Step-by-step explanation:

Answer:

The number that appears the most

Step-by-step explanation:

No, you choose the number that appears the most.

(example) What is the mode of these numbers?

4,4,5,5,5,6,6

The mode would be 5 because it comes up the most

Answer:

6 percent

Step-by-step explanation:

if the 6 was in the tenths place (1 to the left) it would be 60%, however it is in the hundreds place therefore its value is 6%

Final answer:

To convert 0.06 to a percent, multiply it by 100 to get 6%.

Explanation:

To change 0.06 to a percent, you multiply it by 100. Doing this moves the decimal point two places to the right.

Here's the step-by-step calculation:

Start with the decimal: 0.06

Multiply by 100: 0.06 × 100 = 6

The result is: 6%

So, 0.06 as a percent is 6%.

Answer:

A

Step-by-step explanation:

In the expression

[tex]0.90(2.25d+1.40t+6),[/tex]

d is the number of drinks Lindy orders;

t is the number of toppings Lindy orders.

If Lindy and her friends order 4 drinks and a medium pizza with 3 toppings, then d = 4 and t = 3. Find the value of the expression above when d = 4 and t = 3:

[tex]0.90(2.25\cdot 4+1.40\cdot 3+6)=0.90(9+4.20+6)=0.90\cdot 19.20=17.28[/tex]

So, Lindy and her friends will pay $17.28

Lindy's total cost for ordering 4 drinks and a pizza with 3 toppings amounts to $17.28, so the correct answer is Option A.

First, we substitute the given number of drinks and toppings into the expression, resulting in 0.90(2.25*4 + 1.40*3 + 6). That simplifies to 0.90(9 + 4.2 + 6), which further simplifies to 0.90(19.2). Finally, we multiply 0.90 by 19.2 to get the total cost, that is $17.28, which implies the correct answer is Option A.

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Answer:

Correct, as 4 is the only number repeating twice

Answer:

infinite solutions

Step-by-step explanation:

Given

- 6(n - 8) = 4(12 - 5n) + 14n ← distribute parenthesis on both sides

- 6n + 48 = 48 - 20n + 14n, that is

- 6n + 48 = 48 - 6n ( add 6n to both sides )

48 = 48 ← True

This indicates that the equation is true for any value of n

Answer:

This is a very classical type of equation in which, the solution is basically any number and it is known as an "Identity". So it has infinite solutions

Step-by-step explanation:

-6(n-8) = 4(12-5n)+14n

-6n-6*(-8) = 4*12+4*(-5n) + 14n

-6n+48=48-20n+14n

-6n+48=48-6n

-6n+48=48-6n

-6n +6n + 48 -48 = 48 -48 - 6n + 6n

0 = 0

Answer:

7/13

Step-by-step explanation:

more parts to the fraction

Answer:

[tex]\frac{7}{13}[/tex] > [tex]\frac{6}{13}[/tex]

Since both fractions have the same denominator, you can just compare through the numerator.

Hence, [tex]\frac{7}{13} > \frac{6}{13}[/tex]

Answer: -4xy + 2x

Step-by-step explanation:

4xy - 8xy = -4xy

4x - 2x = 2x

Answer:

2x - 4xy    or     2x(1 - 2y)

Step-by-step explanation:

Simplify 4xy-2x+4x-8xy

We can start by rearranging the expression;

4xy-8xy -2x + 4x

Then we add or subtract numbers with the same variable

-4xy + 2x

We can further factorize the above since 2x is common between the two numbers, so we will factor out 2x

2x(-2y + 1)

This can be re-write as;

2x(1 - 2y)

Answer:

54 hundreds

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6/(7/28)

6/(1/4)

6 * 4/1

6 * 4

24

Answer:

2.07

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The sum of 3 and 13 would look like this as an equation, 3 + 13 = ? Just add 3 to 13 and you get 16 as your answer.

The greatest common factor (GCF) of 150, 275, and 420 is 25. It is the highest number that can divide all three numbers without a remainder and is found by identifying the common prime factors among them.

The question is asking for the greatest common factor (GCF) of the numbers 150, 275, and 420. The GCF is the highest number that can divide all three numbers without leaving a remainder. To find the GCF, we can break down each number into its prime factors:

the common factors for 150, 275, and 420 are 5 × 5, since these are the only prime factors that appear in all three prime factorizations. Consequently, the GCF of 150, 275, and 420 is 5 × 5, which equals 25.

1.0730000000000000000000000000

I searched it up

The required value of the given expression would be fraction -9 17/72.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The expression is given in the question

⇒ (4 3/4) × 5/6 × ( -2 1/3)

We have to evaluate the given expression,

⇒ (4 3/4) × 5/6 × ( -2 1/3)

⇒ (4 3/4) × 5/6 × (-1)(2 1/3)

⇒ (4 + 3/4) × 5/6 × (-1)(2 + 1/3)

⇒ (19/4) × 5/6 × (-1)(7/3)

⇒ 85/24 × (-7/3)

Apply the multiplication operation,

⇒ -665/72

Apply the division operation,

⇒ -9.236111

⇒ -9 17/72

Therefore, the required value of the given expression would be fraction -9 17/72.

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Final answer:

The expression 4 3/4 * 5/6 * -2 1/3 evaluates to -665/72 after converting mixed numbers to improper fractions and then multiplying the numerators and denominators. The result is in its simplest form.

Explanation:

The question involves evaluating a mathematical expression with mixed numbers and fractions and writing the answer in its simplest form. To solve this, we first convert mixed numbers to improper fractions. The expression given is 4 3/4 * 5/6 * -2 1/3. First, convert the mixed numbers:

Now multiply the improper fractions:

Multiply the numerators: 19 * 5 * (-7) = -665
Multiply the denominators: 4 * 6 * 3 = 72
Therefore, the result is -665/72. This is already in its simplest form as the numerator and denominator have no common factors.

Answer:

203.5 N

Step-by-step explanation:

Force = mass × acceleration

F = ma

F = (55 kg) (3.7 N/kg)

F = 203.5 N

The weight of the Kai on planet mars is 203.5 N.

Weight can be defined as the heaviness of a person. Also, weight is the product of the mass of the object and the acceleration due to gravity (or gravitational field strength).

[tex]\rm{ Weight = mass \times gravitational\ field\ strength[/tex]

[tex]\rm{Kai's\ weight\ on\ Mars = Kai's\ mass \times gravitational\ field\ strength\ on\ Mars[/tex]

                                 [tex]= 55 \times 3.7\\= 203.5\ N[/tex]

Hence, the weight of the Kai on planet mars is 203.5 N.

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Answer:

its 6

Step-by-step explanation:

because

6.6.6= 216

Answer:

6 centimeter is the length of one edge of the boxStep-by-step explanation:

Given  : The volume of a box of earrings is 216 cubic centimeters.

To find : What is the length of one edge of the box.

Solution : We have given

Volume of a cubic box = 216 cubic centimeter .

Volume of cube = (side)³ .

(side)³  = 216 cubic centimeter .

On taking cube root both sides.

side = [tex]\sqrt[3]{216}[/tex].

Side =  [tex]\sqrt[3]{6*6*6}[/tex].

Side=  6 centimeter .

Therefore, 6 centimeter is the length of one edge of the box.

Of course! Im here to help!

Answer:

x-2y-8=0

Step-by-step explanation:

The equation of line is given by the relation

y-y1=m(x-x1)

where m is the slope

now, given x1=-4 and y1=-6 and the slope is 1/2.

substitute into the equation to get

y+6=1/2(x+4)

multiplying through with the L.C.M

which is 2

2(y+6)=1/2×2(x+4)

2y+12=x+4

making x the subject

x= 2y+8 hence the equation of the line is x-2y-8 =0

Final answer:

The equation of the line that passes through the point (-4, -6) with a slope of 1/2 is y = 1/2x - 4.

Explanation:

To find the equation of a line that passes through the point (-4, -6) with a slope of 1/2, we use the point-slope form of a line's equation which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the point is (-4, -6) and the slope m is 1/2.

Plugging in the values, we get:

y - (-6) = (1/2)(x - (-4))

Simplify the equation:

y + 6 = 1/2x + 2

To get the equation in slope-intercept form y = mx + b, we do:

y = 1/2x + 2 - 6

y = 1/2x - 4

So the equation of the line is y = 1/2x - 4.

Answer:

462 sq in

Step-by-step explanation:

3((14 2/3)(10.5))

3(154)

462

Answer:

less than

Step-by-step explanation:

The number the question is referring to is any number that is less than or equal to 24, since one eighth of 24 or any number less than 24 would be less than or equal to 3.

The question is asking for a value which, when divided by 8 (or one eighth of it), results in a number that is less than or equal to 3. This implies a linear inequality. We can solve this by:

So the solution to this inequality is any number less than or equal to 24. In other words, the original number can be 24 or any number less than 24.

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