1) Solve the following linear equation: X/5 +(2+x)/2 = 1
2) Solve the following equation: x/5+(2+x)/2 < 1
3) A university club plans to raise money by selling custom printed t-shirts. They find that a printer charges $500 for creating the artwork and $4 per shirt that is printed. If they sell the shirts for $20 each, how many shirts must they make and sell to break even.
4) Find the domain of the function: y = (2+x)/(x-5)
5) Find the domain of the function: y = square root(x-5)

Step-by-step explanation:

the average processing time.1/7 = 0.1428The thorough put is equal to 0.1428 which is equivalent to 1 unit produced every 7 minutes. Therefore, the correct option is 18.

Thorough put is the amount of goods or services that are produced by a system, unit, or organization over a period.

To calculate thorough put, one must divide the total quantity of output by the time taken to generate the output.

Let's see the given problem below: A work system has five separate stations that have process times of \( 5,9,4,9 \), and 8 .

What is the thorough put? To begin with, we'll need to calculate the total processing time.

The processing times are: 5, 9, 4, 9, and 8. Summing these values up, we get 35.

Next, we'll divide the total processing time by the number of stations to get the average processing time.35 / 5 = 7

Finally, we will calculate the throughput as the reciprocal of the average processing time.1/7 = 0.1428The thorough put is equal to 0.1428 which is equivalent to 1 unit produced every 7 minutes. Therefore, the correct option is 18.

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The value that represents the variable x in the trapezoid is 108 degrees

From the question, the trapezoid represents the given parameter

We can see that the trapezoid is an isosceles triangle

This means that the angle x and y are congruent

The sum of angles is a trapezoid is 360 degrees

So, we have the following summation equation

x + x + 72+ 72 = 360

Evaluate the like terms

So, we have

2x + 144= 360

This gives

2x = 216

Divide by 2

x = 108

Hence, the value of x is 108 degrees

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Answer:

Step-by-step explanation:

y - 3 = -6(x - 4)

y - 3 = -6x + 24

y = -6x + 27

Answer:

250

Step-by-step explanation:

c=10(250)=250

Answer:

see j i told you that u was pwetty UnU but did you listen no you didnt sissy

Step-by-step explanation:

Answer:

because you add. if you would subtract 6 inches by 3 inches it would be 3 inches.

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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For nonnormal populations, as the sample size (n) increases, the distribution of sample means approaches a normal distribution.

This is known as the central limit theorem. The central limit theorem states that as the sample size increases, the distribution of sample means becomes more and more normal, even if the original population is not normal. The central limit theorem is a fundamental concept in statistics, as it allows us to use the normal distribution as an approximation for many statistical analyses, regardless of the underlying distribution of the population.

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Answer:

the answer is g= 1/3x - 2/3

Answer:

1) you use any parallel lines or rectangles we can double the triangle to get the area and then divide by 2 as we know the length is 92.5yards and we know the width is 53.5 yards.

We would x these by each other and then divide by 2.

We have the width 53 1/2 yards wide and convert this to decimal if we want.

= 53.5 yards.

We then can count the yards for the length =  90 hash marks = 90 yards+ 2.5

= 92.5yards.

We square then add to find the hypotenuse diagonal line but it is an estimate as the lines inscribed subtends into the corner and it becomes a little larger as bottom line is used. Diagonal is found after by doing a reverse equation on the area.

53.5 x 92.5 then divide by 2 = 4948.75/2 = 2474.375

then 2474.375/ 26.75 = 92.5

This proves the line is isosceles and also find the height of the triangle.

But only as an estimate as the actual line distends

Last answer is B and W are equal measures this is because we do not see a right angle and if we bisected the triangle from the goal line to the left side we would prove the midpoint goal line is actually equal and makes lines of play isosceles where two sides are the same at point B and W.

So the answer is 1 yard as B runs the length of the goal back to a position of diagonal run.

The diagonal length is 92.5 yards

Step-by-step explanation:

Answer:

x=31/7

Step-by-step explanation:

3x-6+4x+10=35

7x=31

x=31/7 (The task was to find the x, not simplify)

Answer:

\(x=\frac{31}{7}\)

Step-by-step explanation:

One is given the following equation,

\(3(x-2)+2(2x+5)=35\)

Distribute, multiply every term inside the parenthesis by the term outside of it.

\(3(x-2)+2(2x+5)=35\)

\((3)(x)-(3)(2)+(2)(2x)+(2)(5)=35\)

Simplify,

\((3)(x)-(3)(2)+(2)(2x)+(2)(5)=35\)

\(3x-6+4x+10=35\)

\(7x+4=35\)

Inverse operations,

\(7x+4=35\)

\(7x=31\)

\(x=\frac{31}{7}\)

The equation for the trend line in the scatter plot will be Y= 5x-1. Option B is correct.

In an effort to demonstrate how much one variable is influenced by another, scatter plots are used to depict data points on a horizontal and vertical axis.

When there is no connection between two variables, it is called a zero correlation. For instance, there is no correlation between IQ level and the quantity of tea consumed.

The graphs are attached in the attachment.

The equation for the trend line in the scatter plot will be Y= 5x-1.

Hence, option B is correct.

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Answer:

I hope this is good enough:

Step-by-step explanation:

I dis graph it just use demo's graphing system.

Answer:

i dont see a pic

Step-by-step explanation:

Answer:

C has no solution

Step-by-step explanation

A. x=7, y=8

B. x=2/3 +1/3

Answer:

Your answer would be C

Step-by-step explanation:

Hope I helped!! :)

Answer: x ≥ -3

Step-by-step explanation:

Since the circle is "shaded" and it points to the right of -3. It will be read as greater than or equal to negative three.

Answer:

B) Maximums: (0, 1), (2π, 1);

Minimum: (π, -3)

Answer: A

Step-by-step explanation:

The curvature is zero at the origin, but f(x) is not twice continuously differentiable function at x = 0, because f''(x) does not exist at x = 0. Therefore, the statement is not necessarily true.

An inflection point is a point on a curve where the sign of the curvature changes. At an inflection point, the curvature may be zero, but it may also be undefined.  Moreover, even if the curvature is defined and equal to zero at an inflection point, it does not necessarily imply that the function is twice continuously differentiable at that point.

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Answer:

2 pages per second

Step-by-step explanation:

4*60= 240

480/240=2

2 pages per second

Answer:

120 bricks = 10 kg

120 bricks × 10 kg = 1200 kg

1200 kg + 9000 kg = 10200 kg

Answer:

$266.60

Step-by-step explanation:

Sarah's speed in kilometers per minute is 0.6 kilometers per minute.

To convert the speed from miles per hour to kilometers per minute, we need to perform the following conversions:

1 mile = 1.60934 kilometers

1 hour = 60 minutes

We will convert miles per hour to kilometers per hour:

= 22.7 miles/hour * 1.60934 kilometers/mile

= 36.525918 kilometers/hour

We will convert kilometers per hour to kilometers per minute:

= 36.525918 kilometers/hour / 60 minutes/hour

= 0.60876697

= 0.6 kilometers/minute.

Full question:

Sarah is riding her bicycle at a speed of 22.7 miles per hour. What is Sarah's approximate speed, in kilometers per minute? justify your answer

(1) 0.2

(2) 0.6

(3) 36.5

(4) 36.6​.

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The polynomial expression given is y=(x−1)³(x−2)²(x−5).This equation can be analyzed using various methods to determine different characteristics such as domain, range, symmetry, end behavior, and turning points. It is possible to factor the expression into linear terms and find out the zeros as well.First, let's determine the domain and range of the function.

The domain of a polynomial function is the set of all real numbers, which means that there are no restrictions on x for this equation. The range of the function, however, depends on the degree of the polynomial. In this case, the degree of the polynomial is odd, which means that its range is all real numbers.

Now let's take a look at the symmetry of the function.A function is symmetric if it remains unchanged when reflected across a line of symmetry. The degree of a polynomial determines whether the function is even, odd, or neither. In this case, the degree of the polynomial is odd, which means that the function is not symmetric about the y-axis or origin.

Next, let's analyze the end behavior of the function.The end behavior of a polynomial function is the behavior of the graph as x approaches positive or negative infinity.

The degree and leading coefficient of a polynomial function determine the end behavior. Since the degree of the polynomial is odd and the leading coefficient is positive, the end behavior of the function is that it rises to the left and falls to the right.Let's now determine the turning points of the function.

A turning point is a point on a curve where the slope changes from positive to negative or vice versa. Turning points can be found by setting the derivative of the function equal to zero. However, in this case, finding the derivative of the polynomial equation is very tedious and not feasible.

Thus, we can use a graphing calculator or software to plot the function and find the turning points.Therefore, the function y=(x−1)³(x−2)²(x−5) has a domain of all real numbers, a range of all real numbers, no symmetry, and end behavior that rises to the left and falls to the right.

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Answer:

Surface area of prism = 1301 cm²

Step-by-step explanation:

A triangular pyramid has 3 rectangular sides and 2 triangular sides.

Now, we are told that the triangular side is isosceles.

This means that two of the rectangular sides which share a side with the equal side of the triangle are equal as well as the 2 triangular sides.

Surface area of prism = 2(area of triangular face) + 2(area of rectangle sharing one side with the equal side of the triangle) + (area of rectangle sharing side with the unequal side of the triangle).

Area of triangle = ½ × base × height

Area of triangle = ½ × 9 × 13 = 58.5 cm²

Since height of prism is 32 cm, then;

area of rectangle sharing one side with the equal side of the triangle = 32 × 14 = 448 cm²

area of rectangle sharing side with the unequal side of the triangle = 32 × 9 = 288 cm²

Thus;

Surface area of prism = 2(58.5) + 2(448) + 288

Surface area of prism = 1301 cm²

Answer:

Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.

Step-by-step explanation:

Using concept of linear inequality, number of least deliveries is 30 and value of freight is $60000.

What are linear inequalities?

Inequality represents the mathematical expression in which both sides are not equal. If the relationship makes the non-equal comparison between two expressions or two numbers, then it is known as inequality in Maths. In this case, the equal sign “=” in the expression is replaced by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠). The different types of inequalities in Maths are polynomial inequality, rational inequality, absolute value inequality.

The symbols ‘<‘ and ‘>’ express the strict inequalities and the symbols ‘≤’ and ‘≥’ denote slack inequalities. A linear inequality seems exactly like a linear equation but there is a change in the symbol that relates two expressions.

e.g. y>x+2

Now,

Given charge of $70 per delivery and A charge of 6.5% of the total value of the freight for each delivery and least amount is $102,000.

Let only one delivery is possible per day and no. of deliveries=n

amount of each freight=x

Therefore,

Linear inequality will be n(6.5/100**x+70)>102000

So least values of n and x will be

n=30 and x=$60000

Hence,

          number of least deliveries is 30 and value of freight is $60000.

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