What is the equation solve it

Answer:

y-intercept is 10. The y-intercept is where the line crosses with the y-axis line. The y-axis line is when x = 0.

To find the point of intersection for two lines, we can use substitution to solve for the coordinates.

We're given:

With these two equations, we can:

Isolate x in the second equation:

\(x+2y=7\\x =7-2y\)

Substitute the second equation into the first:

\(3x-2y=5\\3(7-2y)-2y=5\\21-6y-2y=5\\21-8y=5\\21-8y=5\)

Solve for y:

\(21-6y-2y=5\\21-8y=5\\-8y=-16\\y=2\)

Solve for x:

\(x+2y=7\\x+2(2)=7\\x+4=7\\x=3\)

The point of intersection of the lines is (3,2).

Answer:

41

Step-by-step explanation:

287-W=246

- W = 246 - 287

-W = -41

W = 41 ( Minus (-) and minus (-) Cut )

Answer:

w = 41

Step-by-step explanation:

287 – w = 246

287 – 246 = w

287 – 246 = 41

w = 41

I hope this helps

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet)

What is elevation?

The elevation is the height of an object or point above a given reference point, usually sea level. It is often used to describe the height or altitude of a geographic location, such as a mountain peak or a city, and is commonly measured in feet or meters.

In the context of elevation, | -7 | feet would mean the vertical distance between the point at -7 feet and sea level (0 feet).

The vertical distance between two points is calculated by taking the absolute value of the difference between their elevations. So, in this case, the absolute value of -7 is 7, which means the point is 7 feet below sea level.

The correct answer is option (b) The vertical distance between the point at -7 feet and sea level (0 feet).

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Answer: 30

Step-by-step explanation:

To find perimeter, you add all of the sides together

9.5 + 6.5 + 6 + 4 + 4 = 30

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.

Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.

A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.

We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.

total distance / time taken = average speed

\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because

Time taken = \(2075/415\) per days \(= 5 days\)

Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.

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   i think that that the answer is 13   Step-by-step explanation:

Using the inequality rule we know that 11 is greater than -11, (11 > -11).

Mathematical expressions with inequalities are those in which the two sides are not equal.

Contrary to equations, we compare two values in inequality.

Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.

So, let's say the inequality equation looks like this: A

Right now, A is valued at

Let p be used to representing the initial number.

P equals 11, so

Let q be used to representing the second number.

Q has a value of -11.

-11 and 11 are both numbers that are greater than zero.

Then, 11 > -11 ... (1)

A has a value of 11 > -11.

Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).

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Correct question:
Is 11 greater than, equal to, or less than -11?

An acute angle, θ, is in a right triangle such that sin of theta is equal to 3 over 8 period  The value of cot θ is (√55)/3.

To determine the value of cot(θ), Since is an angle in a right triangle and sin() = 3/8, we obtain:

cot(θ) = (√55)/3

In light of the fact that is an acute angle in a right triangle, we may calculate:

sin(θ) = 3/8

Keep in mind:

Hypotenuse = ((opposite cathetus)2 + (adjacent cathetus)2), where sin() = (opposite cathetus)/(hypotenuse)

Next, we have:

contrary cathetus = 3

Using the formula hypotenuse = 8 = (3 + neighboring cathetus)2,

In order to solve this for the nearby cathetus, we obtain:

(82 - 32) = 55 adjacent cathetus

And we are aware of:

(Cot) = (nearby cathetus) (opposite cathetus)

Next, we have:

cot(θ) = (√55)/3

The value of cot θ is (√55)/3.

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There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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The length of an interval of time such that the probability that no messages arrive during this interval is 0.94 is 56.88 seconds.

We have to find the length of the time interval that the probability of no messages arrive during this interval is 0.94

Let X be the no.of messages arrive to the server

X follows the poisson distribution with mean λ = 17

Let t be the time interval

The probability of no messages arrive during this interval is 0.94

Then P(0) = 0.94

e⁻⁽λt⁾ = 0.94

λt = ln0.94

17 t   = ln(0.94)

t = ln(0.94)/17

t = 0.026872 / 17 hrs

t = 0.0158

Convert 0.0158 hours to seconds

That is t=0.0158(60)(60)

 =56.88seconds

Hence in 56.88 seconds the time interval that the probability of no messages arrive during this interval is 0.94 .

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The choice of measure depends on the characteristics of the data and the purpose of the analysis.

The measure commonly used to describe the center of the data is the arithmetic mean or average. The arithmetic mean is calculated by summing all the data points and dividing the sum by the total number of data points. It provides a representative value that balances the contributions of all the data points.

Another measure of center is the median, which represents the middle value when the data is arranged in ascending or descending order. Unlike the mean, the median is not affected by extreme values or outliers, making it a robust measure of central tendency.

Additionally, there is the mode, which represents the most frequently occurring value in the dataset. It can be useful in cases where identifying the most common observation is important.

Each measure has its strengths and limitations, and researchers need to consider the nature of the data and the research question at hand to determine the most appropriate measure of center

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Answer:

Step-by-step explanation:

Since the value of the car decreases by a common factor each year, the decay is exponential.

An exponential decay function is of the form

\(A(t)=A_0(1-r)^t$ where:\\Initial Value, A_0=\$11,000\\$Decay Factor, r=9%=0.09\)

Therefore, the function modeling the car's decay is:

\(A(t)=11000(1-0.09)^t\)

We want to determine the car's value in two years.

When t=2

\(A(2)=11000(1-0.09)^2\\A(2)=\$9109.10\)

The value of the car in 2 years will be A(t)=$9109.10

Final value of the car after 2 years will be $9109.10

 Value of the car decay by 9%.

Since, 9% is a common factor by which the value of car is decreasing,

Therefore, decay will be exponential.

Expression for the exponential decay is given by,

\(P=P_0(1-\frac{r}{100} )^t\)

Here, \(P=\) Final price

\(P_0=\) Initial price

\(r=\) Rate of decay

\(t=\) time

  If initial price of the car \(P_0=11000\), rate of decay \(r=0.09\) and \(t=\) Number of years

By substituting the values in the expression,

P = \(11000(1-0.09)^2\)

  = 11000(0.91)²

  = $9109.10

   Therefore, final value of the car after 2 years will be $9109.10

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Answer:

$0.75

Step-by-step explanation:

Step 1:

5 ibs for $3.75    Given

Step 2:

$3.75 ÷ 5     Divide

Answer:

$0.75

Hope This Helps :)

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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Answer:

2x+y=15x+y=10

Consider the first equation. Subtract 15x from both sides.

2x+y−15x=y

Combine 2x and −15x to get −13x.

−13x+y=y

Subtract y from both sides.

−13x+y−y=0

Combine y and −y to get 0.

−13x=0

Divide both sides by −13. Zero divided by any non-zero number gives zero.

x=0

Consider the second equation. Insert the known values of variables into the equation.

15×0+y=10

Multiply 15 and 0 to get 0.

0+y=10

Anything plus zero gives itself.

Answer:

45

Step-by-step explanation:

\(_{10} C_{2}\) = (10!) ÷(8!) (10-8)!

(10 × 9)÷2 = 45

Answer: 100

Step-by-step explanation:

10 people

2 chairs 1 chair 1 vice chair

10*10=100 different combinations

Answer:

Step-by-step explanation:

Answer:

4 + 72*3 + 5*3

4 + 216 + 15

= 235

Answer:

235.

Step-by-step explanation:

The answer is 235 because you first have to add in the parentheses, which is 77. Next, due to order of operations, 77 x 3 = 231. Last, you then just have to add 231 + 4 which will give you your answer of 235.

0.308

Explanation

The probability of an event is the number of favorable outcomes divided by the total number of outcomes possible,so

so

Step 1

favourable outcome is the result that is desired, so as the result is a that Raphael purchase the ticket

a) Let

and , the total outcome is the total ticket,so

b) now, replace in the formula:

therefore,the answer is 0.308

I hope this helps you

Answer: X is 107.5

Step-by-step explanation:

Answer:

107.5

Step-by-step explanation:

Multiply 10.75 by 10 to get the value of x.

Hope this helps!

Answer:

Both studies used a two-sided test with a null hypothesis of p = 0.5. However, the shoe company used a larger sample size, which would result in a smaller standard error and a more precise estimate of the true proportion.

Assuming that the sample proportions are accurate representations of the true proportions, the study with the larger sample size (the shoe company) would have a smaller P-value. A smaller P-value indicates stronger evidence against the null hypothesis and in favor of the alternative hypothesis that the true proportion is different from 0.5.

Therefore, the study about shoe colors would have a smaller P-value.

Answer:

13.5 and 7

Step-by-step explanation:

x + y = 20.5

× - y = 6.5

Hence,

x =20.5 - y

20.5 - 2y = 6.5

Hence,

2y = 14

and x = 20.5 - 20.5 - 7 = 13.5

Hope that helps :))

Answer:

The two numbers are 7 and 13.5

Step-by-step explanation:

Let the two numbers be x and y

Make 3 equations (for system of equation and substitution method)

Equation 1. x - y = 6.5

Equation 2. x = 6.5 + y

Equation 3. x + y = 20.5

Use the value of x in equation 2 to substitute x in equation 3.

6.5 + y + y = 20.5

Combine like terms

6.5 + 2y = 20.5

- 6.5 on both sides

2y = 14

Divide both sides by 2 to isolate y

y = 7

Substitute y in equation 3 to find x

x + 7 = 20.5

x = 13.5

Hope this helps :)

Have a great day!

Answer:

Engineer: 9.5 hr

Assistant: 4.5 hr

Step-by-step explanation:

To solve this problem, we can create and solve a system of equations.

Define the variables:

Given the engineer's time is billed at $40 per hour, and her assistant's is billed at $10 per hour, and a customer received a bill for $425 for a certain job:

Given the assistant worked 5 hours less than the engineer:

Therefore, the system of equations that represents the problem is:

\(\begin{cases}40x+10y=425\\ \quad \qquad \;\;\;y=x-5\end{cases}\)

Substitute the second equation into the first equation to eliminate y:

\(40x+10(x-5)=425\)

Solve the equation for x to find the number of hours the engineer worked:

\(\begin{aligned}40x+10(x-5)&=425\\40x+10x-50&=425\\50x-50&=425\\50x&=475\\x&=9.5\end{aligned}\)

Therefore, the engineer worked 9.5 hours.

Substitute the found value of x into the second equation and solve for y to find the number of hours the assistant worked:

\(\begin{aligned}y&=x-5\\y&=9.5-5\\y&=4.5\end{aligned}\)

Therefore, the assistant worked 4.5 hours.

Answer:

224

Step-by-step explanation:

360.-136.