Until recently, Simon owned 1,510 acres of farmland. This year, he sold the old land and purchased a new plot that is 1,208 acres in size. What is the percent of decrease in the amount of land that Simon owns now?

The system of inequalities that will model the given scenerio are -

S + L < 30

13S + 18L ≥ 350

Equation modelling is the process of writing a given mathematical statement (or word problem) in the form of a mathematical equation for the correct analysis of the given problem (or situation).

Given is that Jordan's t-shirt business sells long sleeve shirts for $18 and short sleeve shirts for $13. He needs to make at least $350 to buy a new heat press machine.

Let {S} represent the short sleeves and {L} represents the long sleeves. So, we can model the equations as -

S + L < 30

13S + 18L ≥ 350

Therefore, the system of inequalities that will model the given scenerio are -

S + L < 30

13S + 18L ≥ 350

To solve more questions on system of inequalities, visit the link below

https://brainly.com/question/19526736

#SPJ9

Tayjen's kite flew 5,860 centimeters in the air then Tayjen's kite flew 10.6 meters higher than Sara's kite.

What is BODMAS?

BODMAS is an acronym used to remember the order of operations in arithmetic. The acronym stands for:

B - Brackets (or Parentheses)

O - Orders (exponents and roots)

DM - Division and Multiplication (performed left to right)

AS - Addition and Subtraction (performed left to right)

BODMAS provides a set of rules that dictate the order in which mathematical operations should be performed in an expression that contains multiple operations. It is important to follow the order of operations to ensure that the expression is evaluated correctly and consistently. For example, in the expression 5 + 3 x 2, if we follow the BODMAS rule, we first perform the multiplication (3 x 2) and then the addition (5 + 6), giving us the answer of 11. If we were to perform the addition first, we would get a different answer (5 + 3 = 8, and 8 x 2 = 16), which would be incorrect.

To compare the height of Sara's kite, which is measured in meters, with the height of Tayjen's kite, which is measured in centimeters, we need to convert Tayjen's kite's height to meters.

To do that, we divide the height of Tayjen's kite by 100, since there are 100 centimeters in a meter:

5,860 centimeters ÷ 100 = 58.6 meters

Now we can compare the heights of the two kites:

58.6 meters - 48 meters = 10.6 meters

Therefore, Tayjen's kite flew 10.6 meters higher than Sara's kite.

Learn more about Comparision of expression click here:

https://brainly.com/question/29051300

#SPJ1

The correct drop down menus from the graph are:

Pool A is filling up slower than Pool B because the slope of the graph of Pool A is less than that of the graph for Pool B.

The slope of the graph tells you the unit rate in gallons per minute. Its means the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

Read more about graph

brainly.com/question/19040584

#SPJ1

An equation to find the temperature after x number hours of waking up for Jackie is Temperature ( x ) = 4 x + 70

The equation which takes the form y = mx + b means that in relation to the temperature when Jackie woke up:

y = current temperature after x hours

x = number of hours after waking up

m = change in temperature per hour

b = starting temperature when Jackie woke up

The equation to find the temperature after x hours is therefore:

Temperature ( x ) = 4 x + 70

Find out more on temperature at https://brainly.com/question/20372264

#SPJ1  

The second option has the better value-for-money.

To find the price per gram, you need to take the quotient between the cost and the mass for each case.

The first brand costs $29.49 for 250 grams, then the cost is:

c = $29.49/250g = $0.12 per gram.

The other brand costs $69.99 for 750 grams, then the cost per gram is:

C = $69.99/750g = $0.09 per gram

We can see that the second option has the better vale-for-money.

Learn more about costs at:

https://brainly.com/question/19104371

#SPJ1

Answer:

y = 43

Step-by-step explanation:

47° , y and 90° lie on the straight line AB and sum to 180° , that is

47 + y + 90 = 180

y + 137 = 180 ( subtract 137 from both sides )

y = 43

Answer:

2(t+6)-5

Step-by-step explanation:

The unknown number is t

=> Adding 6 will make it t+6

=> Multiplying 2 will make it 2(t+6)

=> Subtracting 5 will make it 2(t+6)-5

Answer:

[tex]\frac{t+6}{2}[/tex] - 5

Step-by-step explanation:

[tex]\frac{t+6}{2}[/tex] - 5

Answer:Mr. Jacob purchased 7 adult tickets at $7.50 each, and 4 child tickets at $5.00 each, for a total of 11 tickets at a cost of $65.

Step-by-step explanation:

Answer:

x-8

Step-by-step explanation:

the answer is  x-8                                                             correct answer x-8

There are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

What is the combination?

A combination is a choice of items from a group of different items where the order of the choices is irrelevant. Either the process of combining or the condition of combining. a combination of several things a mixture of thoughts. something created through fusion: A chord is made up of several notes.

Here, we have

Given: lacrosse balls come in 3 colors: red, yellow, and blue.

We have to find the different combinations of colors that are possible in a 6-pack of lacrosse balls.

We apply here combination formula and we get

= ⁶C₃

= (6×5×4×3!)/(3!×3×2×1)

= 20

Hence, there are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

To learn more about the combination from the given link

https://brainly.com/question/28570562

#SPJ1

A type 1 hypervisor functions as a compact operating system and runs directly on the host's hardware, but a type 2 hypervisor operates as a software layer on operating system, similar to other computer programs.

Which is the safer hypervisor, type 1 or type 2, and why that is more superior?

Native hypervisors are a safer solution. They are not dependent on the underlying OS, unlike hosted hypervisors. If you are attacked, the bare-metal hypervisor will improve your chances (Type 1). Because of this reliance, the type 2 server loses efficiency, performance, and speed. A Type 1 hypervisor operates directly on the hardware of the host computer. These hypervisors interface directly with the host computer's CPU, RAM, and physical storage, making them typically quicker and more effective than Type 2 hypervisors. eliminate the requirement to travel through the OS layer.

Learn more about hypervisors:

https://brainly.com/question/20892566

#SPJ4

13 triangles could be formed from a 15-gon.

The vertex of an angle is the intersection of two lines, rays, or segments. A diagonal is a line segment with vertices as its endpoints. The intersection of two edges or sides forms a polygon's vertex. A vertex is created when three edges of a polyhedron collide.

Given:

The number of triangles formed by connecting one of the vertices to the rest of the vertices is equal to n - 2.

We have 15- gon.

So, the number of Triangles can be formed is n-2.

= 15 -2

= 12 Triangles.

Learn more about Vertex here:

https://brainly.com/question/1554019

#SPJ9

The Question attached here seems to be incomplete / inappropriate.

The complete question is

Using diagonals from a common vertex, how many triangles could be formed from a 15-gon (diagonal)?

Answer:

Step-by-step explanation:

The equivalent function to the given one is:

L(t) = 7,920*(3)^t

Here we want to rewrite the function:

L(t) = 880*(3)^(t + 2)

Into the form:

L(t) = a*(b)^t

Remember the rule for exponents:

(x^a)*(x^b) = x^(a + b)

Then we can take our function:

L(t) = 880*(3)^(t + 2)

And rewrite this as:

L(t) = 880*(3^t)*(3^2)

L(t) = 9*880*3^t

L(t) = 7,920*(3)^t

That is the equivalent function.

Learn more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

The probability that a box of 40 light bulbs will last for 5 years is very low, due to the short mean lifetime of 2 months and the relatively high standard deviation of 0.25 months.

The mean lifetime of a particular type of light bulb is given as 2 months, and the standard deviation is given as 0.25 months. The mean lifetime represents the average time that the light bulbs will last, while the standard deviation represents how much the lifetimes of the bulbs vary from the mean.

To determine the probability that a box of 40 light bulbs will last for 5 years, we need to convert the given information into a format that we can work with. 5 years is equal to 60 months, and since we have 40 light bulbs, we can assume that the lifetimes of the bulbs are independent and identically distributed. This means that the probability of one bulb lasting for 60 months is the same as the probability of any other bulb lasting for 60 months.

Next, we need to calculate the standard deviation of the sample mean. The standard deviation of the sample mean represents how much the means of different samples of size 40 would vary from the population mean. The formula for the standard deviation of the sample mean is given by the following equation:

standard deviation of the sample mean = standard deviation of the population / square root of the sample size

In this case, the standard deviation of the population is given as 0.25 months, and the sample size is 40. Therefore, the standard deviation of the sample mean is:

0.25 / sqrt(40) = 0.0395

Now that we have the mean lifetime and the standard deviation of the sample mean, we can use the normal distribution to determine the probability that a box of 40 light bulbs will last for 5 years. We can assume that the lifetimes of the bulbs follow a normal distribution with a mean of 2 months and a standard deviation of 0.0395 months (which is the standard deviation of the sample mean).

To find the probability that a bulb will last for 60 months, we can use the following equation:

z = (x - μ) / σ

where z is the standard score, x is the value we want to find the probability for (60 months in this case), μ is the mean, and σ is the standard deviation.

Plugging in the values, we get:

z = (60 - 2) / 0.0395 = 1509.49

To find the probability corresponding to this standard score, we can use a standard normal distribution table or a calculator. The probability is extremely small (close to zero), which means that it is highly unlikely that all 40 light bulbs will last for 5 years.

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

Step-by-step explanation:

percentages are usually out of 100.

so you are turning 1/5 to x out of 100.

we can do thismany ways; i will be doing a ratio.

1:5

to

x:100

we can see that 5 times 20 equals 100, therefore, 1 times 20 would equal x.

so 20/100 is equal to 1/5.

Answer:

percentages are .so you are turning 1/5 to x out of 100. we can do this many way; I will be doing a ratio. of 1:5tox:100we can see that 5 times 20 equals 100, therefore, 1 time 20 would equal x.so 20/100 is equal to 1/5.

In the triangle LMN the length of the side l as per given measures of side and angles is equal to 42.4 inches ( nearest tenth )

In triangle LMN,

Let us consider side length opposite to ∠L, ∠M, and ∠N be l , m , and n respectively.

Measure of side m = 450 inches

Measure of ∠M = 74°

Measure of ∠N = 41°

Sum of all the angles in a triangle is equal to 180°

m ∠M + m ∠N + m ∠L = 180°

⇒ 74° + 41° + m ∠L = 180°

⇒ m ∠L = 180° - 115°

⇒ m ∠L = 65°

Using sine law of triangle we have,

sin L / l  = sin M / m = sin N / n

⇒sin L / l  = sin M / m

Substitute the value we get,

⇒ sin 65° / l  = sin 74° / 450

⇒ l = sin 65° × ( 450 / sin 74°)

⇒ l = 0.9063 × ( 450 / 0.9613 )

⇒ l = 42.43 inches

⇒ l = 42.4 inches ( nearest tenth )

Therefore, the measure of the side length l in a triangle LMN is equal to 42.4 inches ( nearest tenth ).

The above question is incomplete, the complete question is:

In ΔLMN, m = 450 inches,  m ∠M=74° and  m ∠N=41°. Find the length of l, to the nearest 10th of an inch.

Learn more about length here

brainly.com/question/30100801

#SPJ4

Answer: 424.3

Step-by-step explanation: n ΔLMN, m = 450 inches, m∠M=74° and

m∠N=41°. Find the length of l, to the nearest 10th of an inch.

A.A.S.→Law of Sines

Plug in. Opposite sides go together. 450 sin, 65 sin 74 ≈ 424.2742 ≈ 424.3

l=

sin74

450sin65

​

≈424.2742≈424.3

In the chi-square goodness-of-fit test, the number of ways in which the expected classes are free to vary is represented by the degrees of freedom (df) of the test.

The degrees of freedom for the chi-square goodness-of-fit test are calculated as df = k - 1, where k is the number of categories or classes being compared.

In this test, we compare the observed frequencies in each category with the expected frequencies, assuming that the null hypothesis is true. The null hypothesis is that there is no significant difference between the observed and expected frequencies, and any deviation between the two is due to chance.

The degrees of freedom are the reflection of the number of independent pieces of information that are available to estimate the expected frequencies.

The more degrees of freedom, the more likely it is that the observed frequencies could be due to chance, and the less significant the test result will be. Conversely, fewer degrees of freedom means that the observed frequencies are more likely to be significantly different from the expected frequencies, and the test result will be more significant.

Read more about the chi-square test:

brainly.com/question/29728594

#SPJ4

Answer:

14 bows

Step-by-step explanation:

.5 yards is need for one bow if you have 7 yards you have 14(.5) yards

easier way a half goes into 7, 14 times since 14 divide by two is 7

Answer:

Tech 9 rock and no answer

Step-by-step explanation:

The percent error in Rashida's measurement while measuring the length of the beam is 4.29%.

What is meant by percent error?

The percent error is the distinction between the estimated value and the actual value in relation to the actual value. Percent errors show the magnitude of our measurement errors during an analysis procedure. We are getting close to the accepted or original value when the percent mistakes are smaller. The relative error is multiplied by 100 to get the percent error.

Given,

  The actual length of beam = 17 and 1/2 feet = 17.5 feet

The measured length of beam = 16 and 3/4 feet = 16.75 feet

The formula to find the percent error is as follows:

Percent error = [tex]|\frac{Measured\ value - Actual\ value}{Actual\ value} | * 100[/tex]

                   =  [tex]|\frac{16.75 - 17.5}{17.5} | * 100 =[/tex] 0.75/17.5 * 100 = 4.29%

Therefore the percent error in Rashida's measurement while measuring the length of the beam is 4.29%.

To learn more about percent error, follow the link.

https://brainly.com/question/1600371

#SPJ1

The inverse function of f(x) = [tex]\frac{x-7}{x+4}[/tex] is f⁻¹(x) = [tex]\frac{4x+7}{1-x}[/tex].

A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f-1" or "F-1." Here, (-1) should not be confused with an exponent or a reciprocal.

Given that the function is f(x) = [tex]\frac{x-7}{x+4}[/tex]

Change f(x) (or whatever the function name is) to "y".  In this case you'd get:

y = [tex]\frac{x-7}{x+4}[/tex]

Now, switch x and y.  Wherever you see y, put x.  And wherever you see x, put y.

x = [tex]\frac{y-7}{y+4}[/tex]

Solve the new equation for y.

x (y + 4) = y - 7

xy + 4x = y - 7

4x + 7 = y - xy

4x + 7 = y (1 - x)

y = [tex]\frac{4x+7}{1-x}[/tex]

Change y back to function notation.  The correct notation for the "inverse of f(x)" is "f⁻¹(x)".  So that would give you:

f⁻¹(x) = [tex]\frac{4x+7}{1-x}[/tex]

To learn more about inverse function of f(x) visit:

brainly.com/question/17872426

#SPJ1

Answer:

1 -

12 - ?

4 - square root of 16

64 -

16 -

2.828 - square root of 8

Step-by-step explanation:"
I need more terms to match them.

Answer:

Answers are below ----v

Step-by-step explanation:

1. Clockwise

2. 3

3. (y, -x)

4. (3x,3y)

The value of x is 7, therefore AC = 23 and BD = 23, which means diagonals AC = BD.

What is linear equations in two variables?

A linear equation in two variables is an equation that can be written in the form ax + by = c, where a, b, and c are constants, and x and y are variables. The graph of a linear equation in two variables is a straight line in the Cartesian coordinate system.

In a trapezium, the diagonals divide the trapezium into four triangles. The diagonals of a trapezium are also equal to the sum of the two parallel sides.

Let the two parallel sides of the trapezium be a and b. Then, we have:

8x - 33 = a + b ...(1)

37 - 2x = a + b ...(2)

We can solve for x by setting (1) and (2) equal to each other:

8x - 33 = 37 - 2x

10x = 70

x = 7

8(7) - 33 = 23

37 - 2(7)  = 23

Therefore, the value of x is 7.

To learn more about the linear equations in two variables, visit:

https://brainly.com/question/24085666

#SPJ1

Overall, the article has given me a deeper appreciation for the role that statistics plays in the political landscape.

One statistical discussion that stood out to me was the concept of margin of error. This is a measure of the accuracy of a poll and is calculated by taking into account the sample size and the variability in responses. I now have a better understanding of how pollsters use this measure to determine the reliability of their results.

Additionally, the article highlighted the importance of understanding statistical significance, which refers to the likelihood that a particular result occurred by chance. This is an essential concept in statistics that helps to determine whether a particular result is reliable or not.

It has also emphasized the need to interpret polling data with caution and to be mindful of the potential for errors and biases.

To know more about statistics here.

https://brainly.com/question/14318705

#SPJ4

The plane flew at 110 mph for 4.55 hours and at 125 mph for 0.45 hours.

The first step in solving this problem is to recognize that we can use the formula

=> speed = distance/time

to find the time it took for the plane to travel at each speed. Let's denote the time the plane traveled at the first speed (110 mph) as t1, and the time it traveled at the second speed (125 mph) as t2.

We know that the total distance traveled was 595 miles, and the total time taken was 5 hours. Using the formula for average speed, we can write:

Average speed = total distance / total time

Therefore,

Average speed = 595 / 5 = 119 mph

Now we can use the information about the two speeds to set up a system of equations. The first equation relates the total distance traveled at the first speed to the time it took:

110t₁ = d₁

where d1 is the distance traveled at the first speed. Similarly, the second equation relates the total distance traveled at the second speed to the time it took:

125t₂ = d₂

where d₂ is the distance traveled at the second speed.

The total time taken is the sum of the times taken at each speed:

t₁ + t₂ = 5

We now have three equations and three unknowns (t₁, t₂, and d₂). We can use the first two equations to eliminate d₁ and d₂, and then solve for t₁ and t₂.

Multiplying the first equation by 125/110, we get:

125/110 * 110t₁ = 125/110 * d₁

125t₁/110 = d₂

Substituting d₂ in the third equation, we get:

t₁ + 125t₁/110 = 5

Multiplying both sides by 110, we get:

121t₁ = 550

Solving for t₁, we get:

t₁ = 4.55 hours

Substituting t₁ in the third equation, we get:

t₂ = 0.45 hours

Therefore, the plane flew at 110 mph for 4.55 hours and at 125 mph for 0.45 hours.

To know more about speed here.

https://brainly.com/question/4199102

#SPJ4

Complete Question:

A plane left Kennedy Airport tuesday morning for a 595−mileˏ 5−hour trip.

For the first part of the tripˏ the average speed was 110 mph.

For the remainder of the tripˏ the average speed was 125 mph. How long did the plane fly at each speed.

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

The possible value of the variables that satisfy the equation which is known as the solution of the equation.

The equations are given below.

y = 2x + 56       ....1

y = 9x               ....2

From equations 1 and 2, then we have

9x = 2x + 56

7x = 56

 x = 8

Then the value of the variable 'y' is given as,

y = 9(8)

y = 72

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ1