what the subsitution method to solve the equation ?
y=6x y=7+8 y=x+20

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

I don't know

I don't know

I don't know and this is it easy see!

34 I think because 300-216=84 and 84-50=34

Answer:

20,000.

Step-by-step explanation:

The first music player has 500 songs stored by 2 GB. So 500/2 is 250. You take 250 and you multiply it by 80 and you get 20,000.

Answer:

x = 2

Step-by-step explanation:

The Question was:
7x + 14 = 28

Subtract 14 from both sides.

7x = 28 − 14

Subtract 14 from 28 to get 14.

7x = 14

Divide both sides by 7.

x = 14/7

​

Divide 14 by 7 to get 2.

x = 2

Answer:

x=2

Step-by-step explanation:

To solve a question like that, we have to isolate the variable.

What is the variable? A variable is a letter partaking in an equation that is in place of a number or solution that makes the equation true.

In this case, the variable is x.

To isolate the variable, we must do the opposite action that is being done to the number.

For example, if a number was added to one side by 28, we can subtract both sides by 28 so it negates the addition and does not alter the original equation.

7x+14=28                We can subtract the 14 on both sides to negate the                                -14  -14                     addition.

7x=14                      Divide each side by 7 to isolate x.

x=2

We can see here that completing the sentence, we have:

Approximately 94,438 tons of LNG will be produced in May, and approximately 104,489 tons will be produced in December.

Percentage refers to a way of expressing a portion or a fraction of a whole quantity in terms of hundredths. It is a common method of quantifying a part of a whole and is denoted by the symbol "%".

We see here that approximately 94,438 tons will be produced in May; this is because:

1.7% of 91,307 (March) = 1,552.219 ≈ 1,552 tons monthly.

Thus, by May will be in 2 months = 2 × 1,552 = 3,104 tons

91,307 + 3,104 = 94,411 tons.

Approximately 104,489 tons will be produced in December.

Learn more about percentage on https://brainly.com/question/24877689

#SPJ1

Answer:

1-(-3)=4

Step-by-step explanation:

To find the range you have to look at the list of numbers:

1, -2, -3, -3

Then you take the highest number, 1, and the lowest, -3, and then subtract.

1-(-3)

And once you do the math, that'll leave you with 4.

The average rate of change of the given graph is 31.3

The graph of the function is represented as the given parameter

From the graph, we have the following points

(x, y) = (10, 313) and (20, 626)

The average rate of change is the slope of the function and the average rate of change is calculated as

Average rate = [f(b) - f(a)]/[b - a]

Where

(a, f(a)) = (10, 313) and (b, f(b)) = (20, 626)

Substitute the known values in the above equation

So, we have

Average rate = [626 - 313]/[20 - 10]

Evaluate

Average rate = 31.3

Hence, the average rate is 31.3

Read more about average rate of change at

brainly.com/question/16349477

#SPJ1

Answer: no

Step-by-step explanation: 8 is not less than 2

By using the logarithm table, the value of the expression is approximately  written as 5.796.

To begin, let's use the properties of radicals and logarithms to rewrite the expression:

\(\frac{\sqrt[3]{1.373} }{\sqrt[4]{0.007} } = 1.373^{1/3} \times 0.007^{-1/4}\)

Now, we can utilize logarithm tables to evaluate each term separately. Using logarithms, we can convert the above expression into a more manageable form:

=> 1.373 ¹/₃ = 1.092,

=> 0.007⁻¹/₄ = 5.311

Finally, we can substitute the approximated values back into the original expression:

≈1.092×5.311≈5.796.

To know more about logarithm here

https://brainly.com/question/28346542

#SPJ2

Answer:

Slope of BC = 1/2

Step-by-step explanation:

Given collinear points A, B and C

slope of the line AB = 1/2

The expected number of boxes to be produced is given as 3,000 boxes. So, the correct answer is 0.3, indicating that the takt time in minutes is 0.3 minutes.

The production line operates for two eight-hour shifts each day, which means there are 16 hours of production time available. Since there are 60 minutes in an hour, the total available time in minutes would be 16 hours multiplied by 60 minutes, which equals 960 minutes.

The expected number of boxes to be produced is given as 3,000 boxes.

To calculate the takt time in minutes, we divide the total available time (960 minutes) by the expected number of boxes (3,000 boxes):

\(Takt time = Total available time / Expected number of boxes\)

\(Takt time = 960 / 3,000\)

By performing the calculation, we find that the takt time is approximately 0.32 minutes, which is equivalent to 0.3 minutes rounded to one decimal place.

Learn more about minutes here:

https://brainly.com/question/31148642

#SPJ11

The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.

Given that:

Expression, 19 - 6(-k + 4)

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Simplify the expression, then we have

⇒ 19 - 6(-k + 4)

⇒ 19 + 6k - 24

⇒ 6k - 5

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ1

If the MSbetween (Mean Square Between) is lower than the MSwithin (Mean Square Within), the F value will be less than 1.

The F value is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). It is used in analysis of variance (ANOVA) to test for significant differences among group means. The F value follows an F-distribution, and its magnitude determines the statistical significance of the differences between groups.

When the MSbetween is lower than the MSwithin, it indicates that the variability between groups is smaller compared to the variability within groups. This suggests that the differences observed among the group means are not substantial or meaningful. In other words, there is more similarity within the groups than between them.

Since the F value is calculated as the ratio of MSbetween to MSwithin, if the numerator (MSbetween) is smaller than the denominator (MSwithin), the F value will be less than 1.

Learn more about ANOVA here:

https://brainly.com/question/30762844

#SPJ11

The equation 6 - 3/y+2 = 2/y+1 has a single solution, which is y = -3, satisfying the original equation when substituted.

To solve the equation, we can start by getting rid of the denominators. We can do this by multiplying both sides of the equation by the common denominator, which is (y + 1)(y + 2).

After multiplying through, the equation becomes 6(y + 1)(y + 2) - 3(y + 2) = 2(y + 1)(y + 2).

Expanding and simplifying the equation, we have 6y^2 + 18y + 12 - 3y - 6 = 2y^2 + 6y + 4.

Combining like terms and rearranging, we get 4y^2 + 6y + 2 = 0.

Simplifying further, we divide the equation by 2 to get 2y^2 + 3y + 1 = 0.

Factoring the quadratic equation, we have (2y + 1)(y + 1) = 0.

Solving for y, we find y = -1 or y = -1/2.

However, upon substituting these values back into the original equation, we find that y = -3 is the only solution that satisfies the equation.

Therefore, the solution to the equation is y = -3.

Learn more about equation click here :brainly.com/question/13763238

#SPJ11

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

Read more equations:

brainly.com/question/13763238

#SPJ1

To simplify radical expressions with variables, identify perfect square factors, simplify the radical by taking out the largest possible integer factor that is a perfect square, and then multiply by the remaining factor outside the radical. Repeat the process until no more simplification is possible.

To simplify radical expressions with variables, follow these steps

Factor the expression under the radical sign into its prime factors.

Identify any perfect squares within the factors.

Rewrite the expression with the perfect squares outside the radical sign and the remaining factors inside.

Simplify any remaining radicals if possible.

Combine any like terms if necessary.

For example, to simplify the expression √(12x²y), you would first factor 12x²y into 2 * 2 * 3 * x * x * y. Then, you would identify the perfect square of x² and rewrite the expression as 2x√(3y). Finally, you could simplify further if possible, but in this case, the expression is already in its simplest form.

To know more about radical expressions:

https://brainly.com/question/3796764

#SPJ4

Answer:

1 Expert Answer

Let x and y be the two numbers. Then by assumptions we have x+y=30 and x-y=20. Hence, y=x-20 and by plugging this into the first equation we obtain x+x-20=30 or 2x=50 or x=25 and y=5

Step-by-step explanation:

So, divide 30 by 2 . That gives you 15 for x, 15 for y. Now, you have difference of six, divide by two, that equals 3.

Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The unit price is given by the cost divided by the number of ounces, and the better deal is given by the deal with the lowest unit price.

Hence, for the 11.3 ounce package:

u = 3.68/11.3 = $0.33 per ounce.

For the 29.3 ounce package:

u = 8.98/29.3 = $0.31 per ounce.

Due to the lower unit cost, the 29.3 ounce package is the better deal.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

The general solution of the given homogeneous differential equation is:y = ±x√(Cx² + 2)

The given differential equation is: 2xyy' + (x² - y²) = 0

We have to find the general solution of the given homogeneous differential equation. To solve the above differential equation, we will use the substitution method.

Put y = vx and y' = v + xv'

Differentiating both sides w.r.t x: y' = v + xv' ⇒ v' = (y' - v)/x

Differentiating again w.r.t x: y'' = v' + xv'' + v' ⇒ y'' = (y'' - 2y'v + v² + xv')/x

Substituting these values in the given differential equation:

2x(v)(v + xv') + (x² - v²x²) = 0

2v + 2x²v' + x - v² = 0

2x²v' + 2v/x - v³/x = -1/x

We can write the above differential equation as:

2x²dv/dx + 2v/x = v³/x - 1/x

Separating the variables and integrating both sides:

∫dx/x = ∫[v/(v² - 2)]dv/x

⇒ ln |x| + ln |v² - 2| + C

⇒ ln |x(v² - 2)| = ln |Cx|

⇒ v² - 2 = Cx² (where C is a constant)

⇒ v = ±√(Cx² + 2)

Putting the value of v in y = vx, we get:

y = x√(Cx² + 2) and y = -x√(Cx² + 2)

To know more about differential equation visit:

https://brainly.com/question/25731911

#SPJ11

The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5

(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.

(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.

Given: Function f(x) is (x - 5)3(x + 2)2

If a curve touches the x-axis then f(x) = 0

⇒ (x - 5)3(x + 2)2 = 0.

But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.

⇒ (x - 5)3 = 0 and (x + 2)2 = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x = 5 and x = - 2.

To know more about the roots of functions:

https://brainly.com/question/1942920

#SPJ4

Answer:

Step-by-step explanation:

First lets find the side a of the square and the radius r of the circle:

a) We need to find the distance CD

b) We need to find the distance AB

c) As we see CD = 0.57  > AB = 0.26

Answer: See explanation

Step-by-step explanation:

These are the correct ones:

One solution of the equation is (3,2)

One solution of the equation is (-1, 1)

One solution of the equation is (1, 3/2)

There are infinitely many solutions

The equation of the line is y = 1/4x + 5/4

Hope I helped!

Answer:

is this algebra

Step-by-step explanation:

Answer:

1.)

A.) The graph does represent a proportional relationship because if you calculate the slope, it's 2/3, which is consistent throughout the line and with the given points.

Slope calculation:

\(\frac{y2-y1}{x2-x1} \\\\\frac{6-4}{9-6} \\\\\frac{2}{3}\)

B.) The coordinate (0,0) represents that no laps have been completed nor has the time started

C.) The coordinate I chose is (6,4). It represents that 4 laps were completed in 6 minutes

2.) The values to represent a proportional relationship because once calculating the slope, which is 13, you can try it with other points. Even though there's some values missing between (6,78) and (10,130), the slope remains the same.

Slope Calculation:

\(\frac{y2-y1}{x2-x1} \\\\\frac{130-39}{10-3} \\\\\frac{91}{7} \\\\\frac{13}{1}\)

3.)

A.) The constant of proportionality is 7/4 or 1.75

B.) y = 7/4x

4.) She'll run 8 miles because since 3/4 of an hour equates to 6 miles and there's 1/4 missing, 2 miles is 1/3 of 6 miles and 1/4 is 1/3 of 3/4 , so 1/4+1/4+1/4 = 3/4. She can run 8 miles (4*2) in 1 hour (4*1/4 hour)

Answer:

42

Step-by-step explanation:

substitute x = 7 into f(x)

f(x) = 6x = 6 × 7 = 42

42 lightbulbs are needed for 7 chandeliers

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

Learn more about Matlab code  here:

https://brainly.com/question/30763780

#SPJ4

The ratio of dogs to all animals is 7:16.

The total ratio of cats and dogs is 9 + 7 = 16.

The number of dogs present in the shelter is 7k, where k is a positive integer.

The number of cats present in the shelter is 9k, where k is a positive integer.

The total number of animals present in the shelter is 7k + 9k = 16k.

Therefore, the ratio of dogs to all animals is 7k : 16k, which simplifies to 7 : 16.

An animal shelter with only dogs and cats has a ratio of cats to dogs that is 9:7.

The ratio of dogs to all animals is 7:16.

To learn more about Ratio, refer to:

https://brainly.com/question/29648474

#SPJ11

Answer:60.3cm^3

Step-by-step explanation:

i got it wrong and that was the answer lol

The production level that will maximize profit is approximately 323 units.

To find the production level that will maximize profit, you need to determine the quantity (q) where the marginal cost (MC) is equal to marginal revenue (MR). Given the cost function C(q) = 690 + 39q + 0.0392q^2 and the demand function p = 13 - q/600, let's proceed as follows:

1. Find the revenue function (R):
R(q) = p * q = (13 - q/600) * q

2. Simplify the revenue function:
R(q) = 13q - (q^2/600)

3. Calculate the marginal revenue (MR) by taking the derivative of the revenue function with respect to q:
MR(q) = dR/dq = 13 - (2q/600)

4. Calculate the marginal cost (MC) by taking the derivative of the cost function with respect to q:
MC(q) = dC/dq = 39 + 0.0784q

5. Set MR equal to MC and solve for q:
13 - (2q/600) = 39 + 0.0784q

6. Solve for q:
0.0806q = -26
q = -26 / 0.0806 ≈ 322.60

Since the problem asks for the nearest whole number, the production level that will maximize profit is approximately 323 units.

To learn more about revenue function, refer below:

https://brainly.com/question/28545124

#SPJ11

Answer:

First number = 4

Second number = 9

Step-by-step explanation:

If the first number = x, the second number = x + 5.

The calculation can be expressed as follows:

x + 2(x + 5) = 22

First, expand the bracket 2(x + 5):

x + 2x + 10 = 22

Combine like terms:

3x + 10 = 22

Subtract 10 from both sides:

3x = 12

Divide both sides by 3:

x = 4

First number = 4

Second number = 4 + 5 = 9

Step-by-step explanation:

D= answer to your problem