2 3/7 ÷ 2/5 Give your answer in its simplest form.

Answer:

  a) r(b) = 75b

  b) c(b) = 30b +500

Step-by-step explanation:

Revenue is the product of the selling price per unit and the number of units. The cost will be the sum of fixed (overhead) cost and production cost per unit multiplied by the number of units produced.

__

Let b represent the number of skateboards Jesse produces in a month.

Jesse receives $75 for each skateboard sold. Her revenue from selling 'b' skateboards is ...

  r(b) = 75b

__

It costs Jesse $30 for each skateboard produced, and $500 for overhead. Her total cost is ...

  c(b) = 30b +500

_____

Additional comment

In order to break even, Jesse's revenue must equal her cost:

  75b = 30b +500

  45b = 500

  b = 11 1/9

Jesse must produce and sell 12 skateboards each month to cover her costs. (In a real business, there are additional considerations related to inventory, shrinkage, returns, discounts, and other things that may increase cost or reduce revenue.) After covering costs, each additional skateboard sold will give Jesse a profit of $45.

Answer:

.5

Step-by-step explanation:

The probability that a normal random variable is less than its mean is .5

Answer:

65°

step-by-step explanation:

solve for x:

116x - 1 = 114x + 1

116x - 114x = 1 + 1

2x = 2

x = 1

Find angle C:

m∠C + 116(1) - 1 = 180°

m∠C = 180° - 115

m∠C = 65°

Solution:

We know that:

This means that:

Step-1: Find the value of x.

[tex]116x - 1 = 114x + 1[/tex]

[tex]\rightarrow 116x - 114x = 1 + 1[/tex]

[tex]\rightarrow 2x = 2[/tex]

[tex]\rightarrow \bold{x = 1}[/tex]

Step-2: Solve for ∠C.

[tex](116x - 1) + (114x + 1) + \angle C + \angle C = 360\°[/tex]

[tex]\rightarrow (116x - 1) + (114x + 1) + \angle C + \angle E = 360\°[/tex]                           [∠C = ∠E]

[tex]\rightarrow 116x - 1 + 114x + 1 + 2\angle C = 360\°[/tex]                                  

[tex]\rightarrow 230x + 2\angle C = 360\°[/tex]                                        

[tex]\rightarrow 230(1) + 2\angle C = 360\°[/tex]                                                                 [x = 1]

[tex]\rightarrow 230 + 2\angle C = 360\°[/tex]                                                                          

[tex]\rightarrow 2\angle C = 360 - 230[/tex]

[tex]\rightarrow 2\angle C = 130[/tex]

[tex]\rightarrow \boxed{\bold{\angle C = \frac{130}{2} = 65\°}}[/tex]                                                      

Answer:

About 5 meters

Step-by-step explanation:

v= πr² h/3

r= √3 v/πh= 3•314/ π•12= 4.99873 rounded which then rounds to 5

A) x=6

B) 50

Step-by-step explanation:

[tex]8x + 2 + 70 + 60 = 180[/tex]

[tex]8x = 180 - 132[/tex]

[tex]8x = 48[/tex]

[tex]x = 6[/tex]

~

[tex] \angle \: b = 8x + 2[/tex]

[tex]8(6) + 2[/tex]

[tex]50[/tex]

[tex] \angle \: b = 50[/tex]

~

System of equations helps to solve real-life problems. The system of equations will not have no solution.

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

The two of the system of equations given to us are,

[tex]y+x=19-x^2[/tex]

[tex]x+y = 80[/tex]

Now,

1. The first step is to isolate one variable in the system of equations,

[tex]y=19-x^2-x[/tex]

[tex]y=80-x[/tex]

2. The second step is to substitution to create a one-variable equation.

[tex]80-x=19-x^2-x\\x^2-x+x=19-80\\x^2 = -61[/tex]

Now, since the value of x  is the negative square root. therefore, the system of equations will not have a real number of solutions.

If we plot the two equations on the graph, then the line of the system of equations will not intersect any point, therefore, the system of equations will have no solution.

Hence, the system of equations will not have no solution.

Learn more about the System of the equation:

https://brainly.com/question/12895249

Answer:

0 solutions

Step-by-step explanation:

Edge 2022

Answer:

need points lol

Step-by-step explanation:

The computation of the angle given simply shows that the value of angle x is 109°.

From the information given, it can be noted that two numbers are given and there's a subtraction sign between the numbers given.

Therefore, in this scenario, one simply just has to subtract the numbers. Therefore, thus goes thus:

x = 304 - 115

x = 189

The value of x is 189°.

Learn more about angles on:

https://brainly.com/question/25770607

Answer:

36.23

Step-by-step explanation:

Finding the radius of a cone with volume given =

3V / πh, π = 22/7 =  3.14

3 x 376.8 / π x h  =  1130. 4 / π x 10

1130.4 / 3.14 x 10 = 1130.4 x 31.42 = 36.23

Answer:

grafic 2

Step-by-step explanation:

Using the z-distribution, the 95% confidence interval is (0.1279, 0.1921), and it means that we are 95% sure that the proportion for the entire population is between these two values.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem:

Hence:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.16 - 1.96\sqrt{\frac{0.16(0.84)}{500}} = 0.1279[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.16 + 1.96\sqrt{\frac{0.16(0.84)}{500}} = 0.1921[/tex]

The 95% confidence interval for the true proportion of households that have experienced property damage due to crime is (0.1279, 0.1921), and it means that we are 95% sure that the proportion for the entire population is between these two values.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

x = 1.28t^2 > 5.5

Answer:

[tex]t\le \:7.04[/tex]

Step-by-step explanation:

[tex]1.28\ge \cfrac{t}{5.5}\:(\bold{Switch \: sides})[/tex]

[tex]\cfrac{t}{5.5}\le \:1.28[/tex]

[tex]\cfrac{5.5t}{5.5}\le \:1.28\cdot \:5.5\:(\bold{ Multiply\: both\:sides\:by\: 5.5})[/tex]

[tex]t\le \:7.04[/tex]

~

Answer:

Solving steps:

18) 16a²b - 8abc + 4ab²c²

=> 4ab(4a - 2c + bc²)

19) 3x³ + 3x² - 3x

=> 3x(x² + x - 1)

20) 2abx² + 3abx³ - 4abx[tex] {}^{4} [/tex]

=> abx²(2 + 3x - 4x²)

The value of ac is 36 and the value of b is 13. Then the value of ac + b is 49. The two numbers are 4 and 9.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the trinomial 6x² + 13x + 6.

Compare with the standard equation, we have

ax² + bx + c

Then we have

a = 6

b = 13

c = 6

The product of ac will be

ac = 6 × 6 = 36

The sum of ac and b will be

ac + b = 36 + 13 = 49

The two numbers that have a product of ac and a sum of b are 4 and 9.

More about the polynomial link is given below.

https://brainly.com/question/17822016

Answer:

36,13,9

Step-by-step explanation:

Just took the test 2022

Answer:

y=2x-1

Step-by-step explanation:

Since it is parallel to y=2x-5, they have the same slope of 2.

Now you're going to plug the point and slope into the following equation: y-(y value of point) = slope ×(x-(x value of point))

y-5= 2 (x-3)

Now you simplify:

y-5=2x -6

y=2x-1

Answer:

KL = 3.4

Step-by-step explanation:

[tex]\frac{LI}{HE} =\frac{KL}{HG}[/tex]

[tex]\frac{5}{16} =\frac{KL}{11}[/tex]

[tex]KL=11(\frac{5}{16} )=55/16=3.4375[/tex]

Hope this helps

Answer:

1

Step-by-step explanation:

What ever is in the parenthesis needs to be substituted into the equation

So,

3(-2)  + 7 =

-6 + 7

1

f(-2) = 1

Answer:

f(-2) = 1

Step-by-step explanation:

1. Replace x with -2

f(-2) = 3(-2) + 7

2. Multiply 3 by -2

f(-2) = -6 +7

3. Add -6 and 7

-6 + 7 = 1

f(-2) = 1

Answer:

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

both angles add up to 90* because it is a right angle

10x + 12x + 2 = 90

22x + 2 = 90

subtract 2 from both sides of the equation

22x = 88

divide both sides by 22

x = 4

Answer:

A, C, and D, are correct

Step-by-step explanation:

We can find the answer to each of these by simply doing the math for each one

[tex]3*\sqrt{2} = 4.24\\\frac{1}{2} *\sqrt{68} = 4.123\\\sqrt{17} = 4.123[/tex]

Answer:

A, C, and D

Step-by-step explanation:

A is 4.24

B is 3.54

C is 4.12

D is 4.12

E is 5.29

Answer:

x=1

Step-by-step explanation:

3x1+2=5

Answer:

I'm assuming you're trying to find x.

In this problem, x = 1

Step-by-step explanation:

3x + 2 = 5

    -2     -2    Subtract 2 from each side

3x = 3

3x/3 = 3/3    Divide each side by 3

x = 1

Answer:

40

Step-by-step explanation:

The formula is: a² + b² = c²

Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.

9² + b² = 41²

Which the answer is 40.

Answer:

B = 48°

b = 29.7

c = 39.1

Step-by-step explanation:

You have made a Mistake which is C = 102° Not 120°

So, Lets begin with the Problem

Since the Sum of Interior Angles of the Triangle = 180 °

Then A+B+C=180

Then 30+B+102=180

Then  B+132=180

Subtract 132 from Both sides

B = 180 - 132 = 48°

Applying Law of Sines

[tex]\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}[/tex]

by substituting

[tex]\frac{20}{sin30} =\frac{b}{sin48}=\frac{c}{sin102}[/tex]

Then   [tex]b=\frac{20sin48}{sin30} =29.7[/tex]

Then   [tex]c=\frac{20sin102}{sin30} =39.1[/tex]

Answer:

3mx3Li+2x2+2x→0

Step-by-step explanation:

[tex]\lim_{x \to0} 3x^3 +2x^2+x+1=3(0)^3+2(0)^2+0+1= 1[/tex]

Hope that helps!

Answer:

On average, 2 out of 10 adults visited the museum most frequently

Step-by-step explanation:

Answer:

54:45

6:5

this is the scale factor