5x=10 solve the equation for x

Answer:

x> -9

Step-by-step explanation:

Because the point stops at -9 and does not continue on infinitely. This means it can go higher than -9 infinitely but not lower. So x should be anything greater than or equal to -9.

For three salesman, all the required values are given above.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.

Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.

The weekly paycheck amount for each salesman, y, is a function of the number of sales, s, they had in that week.

That means,

y = 65s + 1300

When s = 0, y = 1300

When s = 1, y = 1365

And when s = 10, y = 1950.

Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.

y = 40s + 300.

When s = 0, y = 300

When s = 1, y = 340

And when s = 10, y = 700.

Salesman C does not earn any commission. His weekly salary is $900.

y = 900

When s = 0, y =900

When s = 1, y = 900

And when s = 10, y = 900.

Therefore, all the required values are given above.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ1

Answer:

The largest number is 190.

Step-by-step explanation:

Given that,

Two whole numbers add up to 337 and their difference 43.

Let two whole number is x and y.

The sum of two whole number is

\(x+y=337\)

The difference of two whole number is

\(x-y=43\)

We need to calculate the numbers

Using equation (I) and (II)

\(x+y=337\)

\(x-y=43\)

Now, add the equations

\(2x=380\)

\(x=\dfrac{380}{2}\)

\(x=190\)

Put the value of x in equation (I)

\(190+y=337\)

\(y=337-190\)

\(y=147\)

The numbers are 190 and 147.

Hence, The largest number is 190.

Answer:

Option (2)

Step-by-step explanation:

Table given in the question shows the relation between the size of tank (x) and cost of gas to fill the tank f(x).

Since, relation is a linear function in the form of f(x) = mx + b

Graph of the function will be straight line.

Here 'm' = slope of the line

b = y-intercept

Since, two points (9, 23.55) and (15, 36.75) lie on this line.

Slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)

                           = \(\frac{36.75-23.55}{15-9}\)

                           = \(\frac{13.2}{6}\)

                           = 2.2

By substituting the value of 'm' in the equation,

f(x) = 2.2x + b

Since, the given line passes through (9, 23.55),

23.55 = 2.2(9) + b

b = 23.55 - 19.8

b = 3.75

Equation of the function will be,

f(x) = 2.2x + 3.75

Cost to fill the tank and a car wash with size of the tank = 25 gallons,

f(25) = 2.2(25) + 3.75

       = 55 + 3.75

       = $58.75

Therefore, Option (2) will be the answer.

The equations are solved to give;

46. x = 5

48. h = 1

50. The inequality is 7 ≤ d/ -5

An algebraic expression is described as a mathematical expression that is composed of terms, factors, coefficients, constants and variables.

They are described as expressions made up of arithmetic operations which includes;

Given the expression;

46.  |2x + 5| = 3x

Take the absolute value, we have;

2x + 5 = 3x

collect like terms

2x - 3x = - 5

-x = -5

x = 5

48.  (3h + 8) + 2 = 13

expand the bracket

3h + 8 + 2 = 13

collect like terms

3h = 13 - 10

3h = 3

Make 'x' the subject of formula

h = 1

50. Seven is at most the quotient of a number d and -5.

This is expressed as;

7 ≤ d/ -5

Hence, the values are x = 5, h = 1 and 7 ≤ d/ -5

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

the answer would be 147.I hope this helps you

Step-by-step explanation:

4h=588

h=588÷4

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

The values of g obtained at each corner point and identify the minimum value. The corresponding corner point will give us the minimum value of g, x + 3y = 33

To solve the linear programming problem, we need to find the values of x and y that minimize the objective function g = 30x + 80y, while satisfying the given constraints.
The constraints are:
1. 11x+15y ≥ 255
2. x+3y ≥ 33
3. x ≥ 0
4. y ≥ 0
To find the minimum value of g, we can use a graphical method or the simplex method.

Let's use the graphical method in this case.
First, let's plot the feasible region determined by the given constraints.

This region is the area in the coordinate plane that satisfies all the constraints.
After plotting the constraints, we can shade the region that satisfies all the constraints.

The feasible region is the shaded area.
Next, we need to determine the corner points of the feasible region.

These corner points are the vertices of the shaded area.
Once we have the corner points, we substitute each corner point's coordinates into the objective function

g = 30x + 80y and calculate the corresponding value of g.
We then compare the values of g for each corner point to find the minimum value.

This minimum value will give us the optimal solution for the linear programming problem.
For more related questions on minimum value:

https://brainly.com/question/29310649

#SPJ8

The inequality that represents the possible rates is x - 10 ≥ 24.

The inequality that represents the possible rates is x - 10 ≥ 24.
To find the possible rates, we need to consider the average speed of the boat for the entire trip. The first leg of the trip is traveling at a rate of x mph. On the return route, the boat travels against the current, which decreases its rate by 10 mph.
To calculate the average speed, we can add the two rates (x mph and x - 10 mph) and divide by 2.
(x + (x - 10))/2 ≥ 24
Simplifying the equation, we get:
(2x - 10)/2 ≥ 24
2x - 10 ≥ 48
Adding 10 to both sides, we get:
2x ≥ 58
Dividing by 2, we find:
x ≥ 29
Therefore, the inequality that represents the possible rates is x - 10 ≥ 24.

Learn more about inequality :

https://brainly.com/question/28823603

#SPJ11

Check the picture below.

Answer:

.

.

.

.

..

.

..

..

.

...

.....

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

...

.

.

.

.

.

.

.

.

.

...

.

.

.

.

.

.

.

Responder:

x = 15/7

Explicação passo a passo:

Dada a equação:

7 x + 4 = 19

Subtraia 4 de ambos os lados

7x + 4 - 4 = 19 - 4

7x = 15

Divida os dois lados por 7

7x / 7 = 15/7

x = 15/7

Step-by-step explanation:

the answer is = 650/50 = 13

so, she got 13, 50 rupee note.

hope this helps.

Answer:

g(5) = -19

Step-by-step explanation:

Step 1: Define

g(x) = -3x - 4

g(5) = x = 5

Step 2: Substitute and evaluate

g(5) = -3(5) - 4

g(5) = -15 - 4

g(5) = -19

Answer:

g(5) = - 19

Step-by-step explanation:

To evaluate g(5), substitute x = 5 into g(x), that is

g(5) = - 3(5) - 4 = - 15 - 4 = - 19

The equation can be rewritten using the same base as: 3⁻³ =  3⁻⁴ˣ⁺⁶.

The solution for x is: x = 9/4

An equation is a mathematical statement that indicates that two expressions are equal. It consists of two sides, a left-hand side and a right-hand side, separated by an equal sign (=).

1) To rewrite an equation using the same base, we need to apply the following property of exponents:

(1/27)ˣ = 3⁻⁴ˣ⁺⁶

(1/3³) =  3⁻⁴ˣ⁺⁶

3⁻³ =  3⁻⁴ˣ⁺⁶

2) We can equate the exponents and then solve for x. That is:

3⁻³ =  3⁻⁴ˣ⁺⁶

-3 = -4x + 6

4x = 6 + 3

4x = 9

x = 9/4

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

Using probability concepts, we calculated that the likelihood that the person plays the clarinet but not the flute is 0.2743.

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is calculated by dividing the likelihood of the previous event by the likelihood of the subsequent, or contingent, event.

Here,

Finding people who can play the clarinet but not the flute is necessary. There are 172 people who can play the clarinet.

There are 47 people who can play both the clarinet and the flute.

As a result, 172-47=125 represents the number of people who can only play the clarinet and not the flute.

Probability(P),

P=( 125 / 350)

P=0.2743.

Therefore, the probability that a single person chosen at random can play clarinet but not flute is 0.2743.

Visit this website to learn more about probability,

brainly.com/question/11234923

#SPJ4

The domain of the inverse function will be y ≥ 6, and the range of the inverse function will be x > 4.

When the domain is restricted to the portion of the graph with a positive slope, it means that only the values of x that result in a positive slope will be considered.

In the given function, f(x) = |x – 4| + 6, the portion of the graph with a positive slope occurs when x > 4. Therefore, the domain of the function is x > 4.

The range of the function can be determined by analyzing the behavior of the absolute value function. Since the expression inside the absolute value is x - 4, the minimum value the absolute value can be is 0 when x = 4.

As x increases, the value of the absolute value function increases as well. Thus, the range of the function is y ≥ 6, because the lowest value the function can take is 6 when x = 4.

Now, let's consider the inverse function. The inverse of the function swaps the roles of x and y. Therefore, the domain and range of the inverse function will be the range and domain of the original function, respectively.

For more such questions on domain,click on

https://brainly.com/question/2264373

#SPJ8  

The perimeter of the pond is 28.21 feet.

The perimeter of a semi-circle pond having a diameter of 11 feet should be calculated as follows: The perimeter of a semi-circle is equal to the sum of its straight and curved sides.

The diameter of the pond is 11 feet, so the radius of the pond is half that, or:

11/2 = 5.5 feet

The length of the curved side of the pond is half the circumference of a circle having a diameter of 11 feet, or:

πd/2 = 3.14 × 11/2 = 17.21 feet

The length of the straight side of the pond is equal to the diameter, or: 11 feet

The perimeter of the pond is the sum of these two values: 17.21 + 11 = 28.21 feet

Therefore, the perimeter of the pond is 28.21 feet, rounded to the nearest hundredth.

To know more about perimeter: https://brainly.com/question/30085178

#SPJ11

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the perimeter in terms of n is 8n - 4.

Hoped this helped.

\(BrainiacUser1357\)

its A

Step-by-step explanation:

There are four different ways to fold the square in half, however there are no different ways to fold the letter G.

A square has four symmetry lines.

Each symmetry line splits the square in half.

This indicates that the square can be folded into one half along any of its lines of symmetry.

As a result, there are four different methods to fold the square in half.

There is no symmetry line in the letter G.

This indicates the letter can't be folded such that the two parts are exactly aligned.

As a result, there are no methods to fold the letter G.

Answer:

take a better picture

Step-by-step explanation:

Nobody can see that ;-;

Answer:

It is one of the 4 answers the question gives.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiplication is a see also of division. Division is a see also of multiplication.

As nouns the difference between division and multiplication is that division is (uncountable) the act or process of dividing anything while multiplication is (uncountable|mathematics) the process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects

Answer:

20

Step-by-step explanation:

Answer: \(12\ mph\)

Step-by-step explanation:

Given

First cyclist travels \(3\ miles\) in \(15\ min\)

Then, \(7\ miles\) in \(35\ min\)

Average speed is given by \(=\dfrac{\text{Distance}}{\text{time taken}}\)

\(V_{avg}=\dfrac{3+7}{15+35}\)

\(V_{avg}=\dfrac{10}{50}=\dfrac{1}{5}\ mile/min\)

\(V_{avg}=\dfrac{1}{5}\times 60\ miles/hr\)

\(V_{avg}=12\ mph\)

Thus cyclist speed is \(12\ mph\)

Answer:

Step-by-step explanation:

\(x^n=p\\x=\frac{\log(p)}{\log(n)}\)

\(500=50*1.23^x\\10=1.23^x\\\frac{\log(10)}{\log(1.23)}= 11.12283811\)

\(\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i\)

It will take them 6/5 hour (or 1 hour and 12 minutes) to wash a car if they work together.

To determine how long it will take for Roy and Mike to wash a car together, we can calculate their combined work rate.

Roy can wash a car in 2 hours, which means he can wash 1/2 of a car per hour (1 car / 2 hours = 1/2 car per hour).

Mike can wash a car in 3 hours, which means he can wash 1/3 of a car per hour (1 car / 3 hours = 1/3 car per hour).

When they work together, their work rates are additive. So their combined work rate is:

1/2 car per hour + 1/3 car per hour = 3/6 car per hour + 2/6 car per hour = 5/6 car per hour.

Therefore, Roy and Mike together can wash 5/6 of a car per hour.

To determine how long it will take for them to wash a complete car working together, we can use the formula:

Time = 1 / Combined work rate.

Time = 1 / (5/6 car per hour) = 6/5 hour.

Therefore, it will take them 6/5 hour (or 1 hour and 12 minutes) to wash a car if they work together.

To learn more about work rate visit;

https://brainly.com/question/14305692

#SPJ11

The vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

To determine if a vector field is conservative, we need to check if it is the gradient of a scalar function (i.e., a potential function). We can do this by taking the partial derivatives of each component with respect to their respective variables and checking if they are equal:

∂f_x/∂y = 66xy^2
∂f_y/∂x = 66xy^2

Since these partial derivatives are equal, the vector field is conservative. We can then find a potential function by integrating each component with respect to their respective variable:

φ(x,y) = 11x^3y^2 + 11x^2y^2 + C

where C is the constant of integration.

Therefore, the vector field f(x,y) = 33x^2y^2i + 22x^3yj is conservative, and its potential function is φ(x,y) = 11x^3y^2 + 11x^2y^2 + C.

Learn more  about vector field

brainly.com/question/14122594

#SPJ11