What is the x value in the follow system?
3x - y = 7
2x + y = 3

\(\huge\text{Hey there!}\)

\(\huge\textbf{Your temporary equation: }\)

\(\mathsf{5x + x = \ ?}\)

\(\huge\textbf{We know: }\)

\(\large\textbf{That ONE angle equals 90}^\circ\large\textbf{ and the whole entire angle is}\\\large\textbf{360}^\circ.\)

\(\huge\textbf{Knowing that much information, we can}\\\\\huge\textbf{make the equation much easier to solve.}\\\\\\\huge\textbf{We will simplify the angle sides and it}\\\\\huge\textbf{should give you the answer behind the}\\\\\huge\textbf{the equal sign.}\)

\(\mathbf{360^\circ - 90^\circ = \boxed{\mathbf{the\ mystery\ number\ behind\ the\ equal\ sign}}}\)

\(\huge\textbf{Simplify it!}\)

\(\mathbf{the\ mystery\ number\ behind\ the\ equal\ sign = \boxed{\bf 270}}}}\)

\(\huge\textbf{New equation:}\)

\(\mathbf{5x + x = 270^\circ}\)

\(\huge\textbf{COMBINE the LIKE TERMS:}\)

\(\mathbf{(5x + x) = 270^\circ}\)

\(\mathbf{5x + x = 270^\circ}\)

\(\huge\textbf{Remember a variable by itself is}\\\\\huge\textbf{understood as an invisible 1.}\)

\(\huge\textbf{Anyway, back to answering the equation}\)

\(\mathbf{5x + x}\)

\(\mathbf{= 5x + 1x}\)

\(\mathbf{= 6x}\)

\(\huge\textbf{New equation:}\)

\(\mathbf{6x = 270^\circ}\)

\(\huge\textbf{DIVIDE 6 to BOTH SIDES:}\)

\(\mathbf{\dfrac{6x}{6}=\dfrac{270}{6}}\)

\(\huge\textbf{SIMPLIFY IT!}\)

\(\mathbf{x = \dfrac{270}{6}}\)

\(\mathbf{x = 45}\)

\(\huge\textbf{Answer:}\)

\(\huge\boxed{\mathsf{x = 45}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

If we solve  4x-3y=3, -8x +6y=-6 by substitution or elimination, we will have x=3/4 and y=0

We have the following simultaneous equations:

4x-3y=3.....................(i)

-8x+6y=-6..................(ii)

We solve using substitution:

Make x the subject of formula in equation(i):

4x=3+3y

x=(3+3y)/4

Now, replace the value of x in equation(ii)

-8x+6y=-6, and x=(3+3y)/4

-8((3+3y)/4)+6y=-6

-2(3+3y)+6y=-6

-6-6y+6y=-6

y=0

Now, we replace the value of y=0 in any equations we have to find the corresponding value of x:

4x-3y=3, but y=0

4x-3(0)=3

4x=3

x=3/4

Hence, x=3/4, y=0

The question was incomplete, the complete question is given below:

solve by using substitution or elimination by addition. 4x-3y=3 -8x+6y=-6

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Answer:

Ye :)

Step-by-step explanation:

Let's denote the cost of one basket of chicken strips as 'c' and the cost of one small soda as 's'.

From the given information, we can create a system of equations:

Equation 1: 3c + 4s = 22.29

(The total cost of three baskets of chicken strips and four small sodas is $22.29.)

Equation 2: 9c + 2s = 43.47

(The total cost of nine baskets of chicken strips and two small sodas is $43.47.)

We now have a system of two equations. To determine the exact cost of each item, we can solve this system of equations.

Using either substitution or elimination method, let's solve the system:

Equation 1 multiplied by 9: 27c + 36s = 200.61

Equation 2 multiplied by 3: 27c + 6s = 130.41

Now, subtract Equation 2 from Equation 1:

27c + 36s - (27c + 6s) = 200.61 - 130.41

30s = 70.2

Divide both sides by 30:

s = 70.2 / 30

s = 2.34

Substitute the value of 's' back into Equation 1:

3c + 4(2.34) = 22.29

3c + 9.36 = 22.29

3c = 22.29 - 9.36

3c = 12.93

Divide both sides by 3:

c = 12.93 / 3

c = 4.31

Therefore, the cost of one basket of chicken strips is $4.31, and the cost of one small soda is $2.34.

Answer:

parallel

Step-by-step explanation:

the answer is parallel i reckon

A(n) focus indicates when an object sends or receives a message and is identified by a narrow vertical shape that covers the lifeline. A) focus.

A focus, in the context of UML, is a graphical element that represents the point in time when an object is actively sending or receiving a message. It is indicated by a narrow vertical shape that covers the lifeline of the object in a sequence diagram.

The other options, subclass and instance, do not refer to elements used in sequence diagrams. Subclass refers to a type of object that inherits attributes and behaviors from a parent class, while instance refers to a specific occurrence of an object with its own unique set of attribute values. Activity is a type of diagram used to model business processes or workflows.

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Answer:tyeydStep-by-step dh:

ghe

Answer:

\(a = - \frac{179}{171} \ , \ b = - \frac{20 \sqrt7}{171}\\\\\)

Step-by-step explanation:

\(\frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} = \frac{2 + 5 \sqrt7}{2 - 5 \sqrt7} \times \frac{2 + 5 \sqrt7}{2 + 5 \sqrt7}\)                    \([ \ rationalize \ the \ denominator \ ]\)

         \(=\frac{(2 + 5 \sqrt7)^2}{(2)^2 -( 5 \sqrt7)^2}\)                               \([ \ (a - b)(a+b) = a^2 - b^2 \ ]\)

        \(=\frac{4 + 25(7) + 20 \sqrt7}{4 - 25(7)}\\\\= \frac{4 + 175 + 20 \sqrt7}{4 - 175} \\\\= \frac{179 + 20 \sqrt7}{- 171} \\\\= \frac{179}{ -171} + \frac{20 \sqrt7}{-171}\\\\= - \frac{179}{ 171} - \frac{20 \sqrt7}{171}\\\\\)          

The projected value for the car after 10 years is equal to $10,503.42.

In Mathematics and Statistics, a population or physical asset such as a car that decreases at a specific period of time represent an exponential decay. This ultimately implies that, a mathematical model for any population or physical asset that decreases by r percent per unit of time is an exponential equation of this form:

\(P(t) = I(1 - r)^t\)

Where:

By substituting given parameters, we have the following:

\(P(t) = I(1 - r)^t\\\\P(10) = 28500(1 - 0.095)^{10}\\\\P(10) = 28500(0.905)^{10}\)

P(10) = $10,503.42

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The 3x3 matrix for this game is as follows:

|              | Large (ℓ) | Small (s) | Tiny (t) |

|--------------|-----------|-----------|----------|

| Cheetah 1    | (1, 1)    | (0, 0)    | (0, 0)   |

| Cheetah 2    | (0, 0)    | (1, 1)    | (0, 0)   |

| Cheetah 3    | (0, 0)    | (0, 0)    | (1, 1)   |

In this matrix, the rows represent the choices or strategies of the cheetahs, and the columns represent the choices or strategies of the antelopes. The entries in the matrix represent the payoffs or outcomes for each combination of choices.

The matrix is symmetric because the payoffs are the same for both cheetahs in each scenario. If a cheetah catches an antelope, they get a payoff of 1, and if they don't catch an antelope, they get a payoff of 0.

In this game, each cheetah can only chase one antelope. The first cheetah can choose to chase either the Large, Small, or Tiny antelope. Similarly, the second and third cheetahs can also choose to chase one of the three antelopes.

Since the cheetahs chase different antelopes, the payoffs are always (0, 0) for the scenarios where they don't catch the antelope they're chasing. If two cheetahs happen to catch the same antelope, they have to share the payoff, resulting in (1, 1) for that specific scenario.

It's important to note that the matrix assumes that the cheetahs cannot switch their target antelope once they have made their choice. If they catch the same antelope, they share the payoff equally.

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109 dollars Martin have saved before he bought the drone .

Using the conditions stated, come up with: x -68 = 41

Put the variables on the equation's left side: x = 41 + 68

Determine the difference or total: x = 109

Savings are the funds that remain after subtracting one's obligations. Cash is stored as a sort of savings.

Savings are unused funds or postponed spending. A deposit account, a pension account, an investment fund, or cash are just a few examples of ways to save money. Reducing expenses, such as recurrent fees, is a part of saving as well. The portion of money left over after paying for current expenses is what is saved. In other words, it refers to money that has been set away for use later on rather than being immediately spent. Saving enhances emotions of security and tranquilly by acting as a financial "backstop" for life's unforeseen events.

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Considering the speeds given, it is expected Sophie and Jenny are 400 km apart after a total of 5 hours.

Jenny:

Sophie:

It is expected 5 hours later they are 400km apart because at this time each of them will be 200km away from school.

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Answer:

Yes, we agree with her prediction.

Step-by-step explanation:

Given:

Number of sample student = 60

Number of total student = 600

Number of student plan to go college = 675

Sample of student plan to go college = 75%

Find:

Prediction is correct or not

Computation:

Number of student plan to go college in sample = 60 × 75%

Number of student plan to go college in sample = 45

Number of student plan to go college = Number of student plan to go college in sample [900 / 60]

Number of student plan to go college = 45[900 / 60]

Number of student plan to go college = 45[15]

Number of student plan to go college = 675

So,

Yes, we agree with her prediction.

Answer:

Distributive Property

Step-by-step explanation:

This is my best guess because you didn't put the topic or give an more information.

If you rent a car, you should choose Option 3 and accept the fixed price of $50 for gasoline if you expect to drive 150 miles.

1. Total gasoline consumed (gallons):

To calculate the total gasoline consumed, divide the expected distance by the car's fuel efficiency:

Total gasoline consumed = Distance / Fuel efficiency

Total gasoline consumed = 150 miles / 28 miles per gallon

Total gasoline consumed ≈ 5.36 gallons

2. Option 1 cost:

In Option 1, you need to return the car with a full gas tank. Since the car has a 16-gallon tank and you've consumed approximately 5.36 gallons, you need to fill up the remaining 16 - 5.36 = 10.64 gallons.

Option 1 cost = 10.64 gallons * $3.95 per gallon = $42.01

3. Option 2 cost:

In Option 2, you return the car without filling it up and pay $5.45 per gallon. As calculated before, you've consumed approximately 5.36 gallons.

Option 2 cost = 5.36 gallons * $5.45 per gallon = $29.20

4. Option 3 cost:

In Option 3, you accept the fixed price of $50 for gasoline. This fixed price is the most cost-effective option compared to the other two choices.

Therefore, the best choice is Option 3, accepting the fixed price of $50 for gasoline, as it offers a better value for the expected distance of 150 miles.

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Answer:

Circumference= 50.27

Area= 201.06

Answer:

its C (l = l equals StartFraction S Over pi minus r squared. – r2)

Step-by-step explanation:

i guessed and got it right(:

Answer:

The answer is C.

Step-by-step explanation:

Edge 2020 + top comment !

The answer can be solved by using the kinematic equation, S= ut+at²/2. Here the time taken by the feather to fall from 75 feet will be 2.16 s.

Here a feather is dropped from a height of 75 ft. All other units are in SI system. So we have to convert the height to meters.

75 ft = 75/ 3.281 = 22.86 m.

We are neglecting the frictional force, or any other force acting on the feather. If the feather is under free fall, we can use the kinematic equation,

   S = ut + at²/2

S is the displacement, here the height = 22.86 m

u is the initial velocity, which is 0

t is the time

a is acceleration, here a= g, acceleration due to gravity = 9.8 m/s².

S = 0×t + 9.8t²/2

22.86 = 4.9t²

t² = 22.86/4.9

   = 4.665

t = √4.665 = 2.159 s = 2.16 s

So the time taken for the feather to reach water will be 2.16 s.

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The type of pay which is modeled in the image attached below is: D) piece rate.

Money or something paid for a purpose and especially as a salary or wage

The types of pay.

In Mathematics, there are four 5) different types of pay and these include:

The different types of compensation include:

Salary.

Hourly Wages.

Sales Commission.

Tips.

Stock Options.

Bonuses.

Incentive Pay.

Other Variable Pay.

Salary

Commission

Bonuses

Piece rate

Method of wage payment that remunerates the employees on the basis of quantity they produced is known as piece rate.

Plucking tea

The number of tee-shirts produced.

Pruning fruit trees

Sorting second-hand clothes (garments)

Hence the graph of a piece rate model is characterized by a straight line with the slope upwards as represented in the image attached.

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The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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13 less than b as an algebraic expression would be \(b - 13\).

This is because 13 less than a number is the same as that number being subtracted by 13. Let me know if you have any questions, thanks!

The probability of choosing a green scarf is 2/5 or 0.4.

To calculate the probability of selecting a green scarf, we need to determine the ratio of the number of favorable outcomes (green scarves) to the total number of possible outcomes (total number of scarves).

Given that there are 5 scarves in total, with 2 of them being green, the number of favorable outcomes is 2 (the number of green scarves).

The total number of possible outcomes is 5 (the total number of scarves).

Therefore, the probability of selecting a green scarf is:

Probability = Number of favorable outcomes / Total number of possible outcomes.

Probability = 2 / 5

As a fraction, the probability of selecting a green scarf is 2/5.

This means that out of the 5 scarves, 2 of them are green.

As a decimal, the probability is 0.4.

This indicates that there is a 40% chance of randomly selecting a green scarf from the total set of scarves.

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Answer:

Hey welcome and the  answer would be 500 miles

The given data set is:

It is required to find the mode.

Recall that the mode is the value in a set of data that has the most occurrences.

Note that the mode is not unique and a data set may have no mode.

The value that has the most occurrences in the set is not unique.

Hence, the data set has no mode score

Step-by-step explanation:

'x plus five is twenty three'

Answer:

x+5=23

Step-by-step explanation:

Answer:

y = -½x + 4

Step-by-step explanation:

Equation of any line in slope-intercept form is y = mx + b, where,

m = slope = change in y/change in x

b = y-intercept = the point on the y-axis intercepted by the line.

Let's find m and b.

✔️Using two points on the line, (0, 4) and (2, 3),

Slope (m) = change in y/change in x = (3 - 4)/(2 - 0)

m = -1/2 = -½

✔️The line intercepts the y-axis at y = 4.

Therefore,

b = 4

✔️To write the equation of the line, substitute m = -½ and b = 4 into y = mx + b.

Thus,

y = -½x + 4

The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).

\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.

In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.

Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

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Answer:

Step-by-step explanation:

7x times 6x = 42x^2 - 7x

Answer:

Steps:

4x - 6 = 34

Add 6 to both sides

4x - 6 + 6 = 34 + 6

Simplify:

4x = 40

Divide both sides by 4

4x/4 = 40/4

Simplify:

x = 10