There are ten red cards in a sack and two blue cards in the same sack. How likely is it for you to draw a red card if you make one draw?

Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

Using division, we can find that Marcus will take 2 hours or 120 minutes to read the book.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. By dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Marcus is reading a book with 80 pages.

He reads first 20 pages in 30 mins.

So, to read 1 page time taken

= 30/20

= 3/2

= 1.5 mins

Now to read 80 pages, time taken will be:

80 × 1.5

= 120 mins.

Therefore, Marcus will take 2 hours or 120 minutes to read the book.

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The mean of the sample is the random variable in the given problem.

The mean of any given data set can be defined as summarizing a given group of data. It is done in order to make data sets and their values easier to understand. It can be obtained by first adding all the given values and then dividing the total sum by the number of data entries.

A random variable is any quantity that depends on random events. Here, we know that the mean of the given sample depends on all of the random events or we can say random values present in the table. Hence, we can conclude that the random variable is the mean of the sample.

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Step-by-step explanation:

let 1 pound of nail = x

so, the carved out waste nail will be = 12x

total nails = 13x

so the equation is =

13x - 12x = x

OR

x + 12x = 13x

Or

13x - x = 12x

Answer:

  (c)  The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

Step-by-step explanation:

You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).

The inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...

  f(a) = b

then the graph of f(x) contains the ordered pair (a, b).

The inverse function will have the ordered pair (b, a). That is,

  f⁻¹(b) = a

If an ordered pair (x-intercept) of the inverse function is ...

  (P, 0)

Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.

The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

__

Additional comment

The graphs of the two functions are mirror images of each other across the line y=x.

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The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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Answer:

136.6

Step-by-step explanation:

56 + 80.6

ok im going to break it down you don't have to do this

50 + 6 = 56

80 + 0.6 = 80.6

now im going to add

50 + 80 = 130

6 + 0.6 = 6.6

now im going to add it all together

130 + 6.6 = 136.6

Answer:

Step-by-step explanation:

Formula

There are 2 sides that make up 2 of the three dimensions. So the surface area is

SA = 2*4*8 + 2*4*6 + 2 * 6*8

Solution

SA = 64 + 48 + 96

SA = 208

Answer

208 in^2

Answer:

z > -4/5

Step-by-step explanation:

-9 - (2z - 7) > -2z - 6 - 5z

Get rid of the parenthesis

-9 - 2z + 7 > -2z - 6 - 5z

Combine like terms:

       -2 - 2z > -7z - 6

       +2       >       +2

Add 2 to both sides.

 -2z > -7z - 4

 +7z > +7z

Add 7 to both sides.

5z > -4

Divide both sides by 5 to get z.

z > -4/5

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

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The value of c in the polynomial is - 7.

The polynomial is given as follows:

p(x) = 2x³ - x² +  cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:

Therefore,

p(x) = 2x³ - x² +  cx + 2

when x - 2 is a factor, p(x) = 0

Therefore,

0 = 2x³ - x² +  cx + 2

Hence,

2(2)³ - (2)² +  2c + 2 = 0

16 - 4 + 2c + 2 = 0

12 + 2 + 2c  = 0

2c = - 14

divide both sides by 2

c = - 14 / 2

c = - 7

Therefore,

c = -7

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What do you mean exactly

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

Step-by-step explanation:

Formula :  y=k/x

Solve:

Before we find the answer chart =

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20     |      ?        |    ?     |      ?      |

20 = ? / 200

? = 10

Thus,

100/10 = 10

500/10 = 50

1000/10 = 100

So the chart now is:

| Drink (x ml) |   200 |       100 |    500|   1000|  

| Sugar (y g)  | 20      |  10       |    50   |  100   |

~lenvy~

The linear function that describes the data in the table for this problem is given as follows:

C. P(h) = h + 11.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

From the table, we have that when h increases by 1, P(h) also increases by 1, hence the slope m is given as follows:

m = 1/1 = 1.

Hence:

P(h) = h + b.

When h = 4, P(h) = 15, hence the intercept b is given as follows:

15 = 4 + b

b = 11.

Hence the rule is:

P(h) = h + 11.

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Answer:

y= 2/7x +2

Step-by-step explanation:

y = 2/7x + 2 is the slope intercept form of the equation.

Given the equation below;

2x – 7y = -14

The slope intercept form of a line is expressed as:

y = mx + b

m is the slope

b is the intercept

2x – 7y = -14

-7y = -2x - 14

7y = 2x + 14

y = 2/7x + 2

Hence the equation  in slope- intercept form is y = 2/7x + 2.

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Answer:

3/8

Step-by-step explanation:

3/4*1/2=3/8

3/8*1=3/8

*=multiply

Answer:

x intercept -7 and y intercept is 9

Answer:

Let x = smaller number and

y = larger number.

x + y = 42

x + 4y = 147

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

3y = 105

y = 35, so x = 7

The numbers are 7 and 35.

7 + 4(35) = 7 + 140 = 147

The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Check the picture below.

When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.

To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.

An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.

The given expression is:

jkh + hj - jk

Substituting the given values of h, j, and k, we get:

jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))

Now simplify the expression

jkh + hj - jk = (-20) + 20 + 5

jkh + hj - jk = 5

Therefore, the value of  jkh + hj - jk equals 5.

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Answer:

i believe it would be -3

Step-by-step explanation:

9 + -12 = -3

Using the Pythagorean theorem and trig identities, it is proved sinθ + cosθ = 1.

The Pythagorean theorem states that for a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we can use the Pythagorean theorem to prove that sinθ+cosθ=1.

Let's take a right triangle with an angle θ and sides a, b and c, as shown in the diagram below:

By the Pythagorean theorem, we have:

a² + b² = c²

Now, we can substitute a and b with the trigonometric functions for the sides of our triangle:

sin²θ + cos²θ = 1

We can simplify this expression by using the trigonometric identity:

sin²θ + cos²θ = 1

sin²θ + cos²θ = (sinθ + cosθ)²

Substituting (sinθ + cosθ)² back into the equation, we get:

(sinθ + cosθ)² = 1

Hence, using the Pythagorean theorem and trig identities, it is proved sinθ + cosθ = 1.

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Answer:

Hey there!

8(2)+8(6)

16+48=64

The total price is 64 dollars.

Let me know if this helps :)

Answer:

ANSWER: - 3

Step-by-step explanation:

1.8 - 3.7 x = - 4.2 x + 0.3

    + 3.7 x   + 3.7 x

(add 3.7 x on both sides)

  1.8  = - 0.5 x + 0.3

- 0.3                 - 0.3

  1.5 = - 0.5 x

-------  ---------    <- Divide both sides by 0.5

 - 0.5   - 0.5

     - 3 = x

ANSWER: - 3

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Answer:

\(x=-3\)

Step-by-step explanation:

\(1.8-3.7x=-4.2x+0.3\\1.5-3.7x=-4.2x\\1.5=-0.5x\\-0.5x=1.5\\-x=3\\x=-3\)