X/2-18=(-28)
What is x?
X=?

Angle 3 = 70 ( opposite angles equal each other)

Angle 1 = 90-70 = 20 ( angle 1 plus 70 = 90 )

angle 3 - angle 1 = 70 -20 = 50

 Answer is B

The value of the equation after the division and simplification is A = 7/24 or A = 0.291667

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p = 1/6

Let the second fraction be q = 4/7

Now , the equation is A = p/q

On dividing the terms p and q , we get

Substituting the values in the equation , we get

A = ( 1/6 ) / ( 4/7 )

On simplifying the equation , we get

A = ( 1/6 ) x ( 7/4 )

A = 7/24

So , the value of A after division is

Now , on further simplification , we get

A = 0.291667

Hence , the equation after simplification is A = 0.291667

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

$233.75Step-by-step explanation:

Answer:

n = 6.2f

Step-by-step explanation:

Answer:

mark me brainliest plz im a beginner and the answer is .342 becuase the m ok lo, xd

Step-by-step explanation:

Answer:  [tex]r=(\frac{A}{P})^{\frac{1}{t}}-1[/tex]

Step-by-step explanation

Compound interest is the addition of interest to the principal sum of a deposit or a loan.

Let P = principal amount which was taken as a loan then the accumulated amount A is given by

[tex]A=P(1+r)^t[/tex].......(1)

where, r is the rate of simple annual interest in decimal.

t is the time applied for interest.

For solving r divide both sides of equation by P in (1),we get

[tex]\frac{A}{P}=(1+r)^t\\\Rightarrow(\frac{A}{P})^{\frac{1}{t}}=1+r\\\Rightarrow\ r=(\frac{A}{P})^{\frac{1}{t}}-1[/tex].

The questions are:

This is best answered using a Venn diagram. If you look at the separate areas, you see there are 7 areas.

The common area is the two students who takes the three classes.

4 said they were taking both math and English 

4 – 2 = 2 only take math & English

7 said they were taking both science and math

7 – 2 = 5 only take math and science

10 said they were taking both science and English

10 – 2 = 8 only take science and English

17 said they were taking English

17 – (2 + 8 + 2) = 5 take only English

22 said they were taking math

22 – (2 + 5 + 2) = 13 take math

24 said they were taking science

24 – (2 + 8 + 5) = 9 only take science

Adding them all up:

2 + 9 + 13 + 5 + 8 + 5 + 2 = 44

So, 44 students are taking the 3 courses

53 – 44 = 9 students are not taking any of the 3 courses

5 + 13 + 9 = 27 take only 1 of these courses

Final answer:

The stone would be 579 feet high after 3 seconds.

Explanation:

To calculate the height of the stone 3 seconds later, we can use the kinematic equation for position:

h = h0 + (v0 · t) + ((1/2) · a · t2)

where:

h is the final height

h0 = 675 feet is the initial height

v0 = 16 ft/s is the initial velocity

t = 3 seconds is the time

a = -32 ft/s2 is the acceleration due to gravity

Let's plug in the values and calculate:

h = 675 + (16 · 3) + ((1/2) · (-32) · 32)

Solving this equation, we get:

h = 675 + 48 - 144

h = 579 feet

Solving this problem simply only requires us the knowledge of multiplication.

So we are initially given that there are 5 craft sticks. So if we need four times that amount, that is written as:

5 x 4

Which is equal to 20

So Jack needs 20

To calculate the total dividend PRH will receive, multiply the dividend per share by the number of shares PRH owns.

To calculate how much PRH will receive in dividends, we need to know the number of shares PRH owns. Let's assume PRH owns X number of shares. We can multiply the dividend of $56.25 per share by the number of shares to find the total dividend PRH will receive.

Total Dividend = $56.25 x X

For example, if PRH owns 100 shares, the total dividend will be $56.25 x 100 = $5625.

Without knowing the number of shares PRH owns, we cannot calculate the total dividend payment. With the number of shares, multiply by the dividend per share ($56.25) to get the total dividends. For present value calculations, divide the PDV of profits by the number of shares to get the price per share.

To determine how much PRH will receive in dividends from Marks Brothers, a specific number of shares owned by PRH would be needed. Without this information, we cannot calculate the exact dividend payment to PRH. However, if we had the number of shares, we would multiply that number by the dividend per share, which is $56.25, to find the total dividend payment PRH would receive.

For example, if PRH owns 10 shares, the calculation would be 10 shares × $56.25 per share = $562.50 in total dividends. To understand the calculations surrounding the present value or PDV, consider that a different PDV calculation needs to be done for amounts received at different times. Once the PDV of total profits is calculated, it can be divided by the number of shares to find the price per share. Using the provided example with a total PDV of profits being $51.3 million and 200 shares, the calculation would be $51.3 million / 200 = 0.2565 million or $256,500 per share.

Note that in the real world, expected profits are estimates rather than exact figures, and determining an accurate interest rate is part of that estimation process.

The joint PMF of X and Y is [tex]P(X = x, Y = y) = \frac{e^{-10} \cdot 10^x}{x!} \cdot \frac{x!}{y!(x-y)!} \cdot \left(\frac{3}{4}\right)^y \left(\frac{1}{4}\right)^{x-y}, \quad \text{for } y = 0, 1, \ldots, x \text{ and } x = 0, 1, 2, \ldots[/tex]

Distributions of X and Y

X is the total number of customers visiting the store in an hour, which follows a Poisson distribution with mean [tex]\lambda = 10[/tex]

[tex]P(X = x) = \frac{e^{-10} \cdot 10^x}{x!}, \quad x = 0, 1, 2, \ldots[/tex]

Given X = x the number of female customers Y follows a binomial distribution because each customer is independently female with probability [tex]p = \frac{3}{4}[/tex]

[tex]P(Y = y \mid X = x) = \binom{x}{y} \left(\frac{3}{4}\right)^y \left(\frac{1}{4}\right)^{x-y}, \quad y = 0, 1, \ldots, x[/tex]

Joint PMF of X and Y

To find the joint PMF P(X = x, Y = y, we use the law of total probability:

[tex]P(X = x, Y = y) = P(Y = y \mid X = x) \cdot P(X = x)[/tex]

Substitute the expressions for [tex]P(Y = y \mid X = x)[/tex] and P(X = x)

[tex]P(X = x, Y = y) = \left( \binom{x}{y} \left(\frac{3}{4}\right)^y \left(\frac{1}{4}\right)^{x-y} \right) \cdot \left( \frac{e^{-10} \cdot 10^x}{x!} \right)[/tex]

Simplify the expression:

[tex]P(X = x, Y = y) = \frac{e^{-10} \cdot 10^x}{x!} \binom{x}{y} \left(\frac{3}{4}\right)^y \left(\frac{1}{4}\right)^{x-y}.[/tex]

Answer: Slope = 8.5 and y-intercept = 6

Step-by-step explanation:

The intercept form of a linear equation is given by :_

[tex]y=mx+c[/tex], where m( coefficinet of x ) is the slope and c (constant term) is the y-intercept.

The given equation in intercept form : [tex]y = 8.5x + 6[/tex]

Here , the coefficient of c = 8.5

thus , the slope = 8.5

Also, the constant term = 6

Thus, the  y-intercept =6

Answer:

$972

Step-by-step explanation:

Ajax buys 20 shares of stock at $20.

The cost of 20 shares = 20 × $20 = $400

The shares increase in value by 20%

Now the cost of 20 shares = 400 + (20%×400)

                                            = 400 + 80

                                            = $480

Cost per share =  [tex]\frac{480}{20}[/tex] = $24

He sells 10 shares = $20 × 10 = $240

Now he has 10 share costs $240

After the shares decrease in value by 10%, he buys another 20 shares.

Cost per shares after decrease by 10% = 24 - (10%×24)

                                                                 = 24 - 2.40

                                                                 = $21.60

He buys 20 shares and his remaining 10 shares = 20 + 10 = 30 shares

Cost of 30 shares = 21.60 × 30 = $648

The shares then all increase by 50% = 648 + (50% × 648)

                                                             = 648 + (0.5 × 648)

                                                             = 648 + 324

                                                             = $972

The total value of the 30 shares that Ajax own is $972

The derivative of z with respect to t (dz/dt) when t=1 is -1 using the chain rule for multivariable functions.

This problem uses the chain rule for multivariable functions. Given that z = f(x, y) where x = g(t) and y = h(t), to find dz/dt when t = 1, we apply the chain rule as follows: dz/dt=∂f/∂x *(dx/dt)+ ∂f/∂y * (dy/dt). Here, we have x=g(t), y=h(t), ∂f/∂x = fx(4, 7) = 4, ∂f/∂y = fy(4, 7) = 7, dx/dt = g'(1) = 5, and dy/dt = h'(1) = -3.

Substituting these values in: dz/dt = 4 * 5 + 7 * (-3) = 20 - 21 = -1. Therefore, dz/dt = -1 when t = 1.

https://brainly.com/question/34884272

#SPJ2