Circumference of circle Q

For the linear equations:

1. Let the price of one senior citizen ticket be $x and the price of one student ticket be $y. Set up the following system of equations:

7x + 7y = 112

4x + 7y = 103

Solving for x and y:

x = $3

y = $13

Therefore, the price of one senior citizen ticket is $3 and the price of one student ticket is $13.

2. Let the price of one adult ticket be $x and the price of one student ticket be $y. Set up the following system of equations:

3x + 6y = 48

3x + 3y = 30

Solving for x and y:

x = $6

y = $2

Therefore, the price of one adult ticket is $6 and the price of one student ticket is $2.

3. Let the cost of one hosta be $x and the cost of one shrub be $y. Set up the following system of equations:

3x + y = 42

7x + y = 82

Solving for x and y:

x = $10

y = $12

Therefore, the cost of one hosta is $10 and the cost of one shrub is $12.

4. Let the cost of one daylily be $x and the cost of one bunch of ornamental grass be $y. Set up the following system of equations:

x + 5y = 52

5x + 5y = 100

Solving for x and y:

x = $7

y = $9

Therefore, the cost of one daylily is $7 and the cost of one bunch of ornamental grass is $9.

5. Let the cost of one daylily be $x and the cost of one bunch of ornamental grass be $y. Set up the following system of equations:

8x + 6y = 50

x + 6y = 22

Solving for x and y:

x = $2

y = $3

Therefore, the cost of one daylily is $2 and the cost of one bunch of ornamental grass is $3.

6. Let the number of students each van can carry be x and the number of students each bus can carry be y. Set up the following system of equations:

3x + 3y = 183

12x + 5y = 347

Solving for x and y:

x = 21

y = 45

Therefore, each van can carry 21 students and each bus can carry 45 students.

7. Let the cost of one package of sugar cookie dough be $x and the cost of one package of double chocolate cookie dough be $y. Set up the following system of equations:

x + 11y = 138

12x + 8y = 168

Solving for x and y:

x = $6

y = $12

Therefore, the cost of one package of sugar cookie dough is $6 and the cost of one package of double chocolate cookie dough is $12.

8. Let the cost of one bag of windflower bulbs be $x and the cost of one bag of daffodil bulbs be $y. Set up the following system of equations:

2x + 4y = 64

4x + y = 44

Solving for x and y:

x = $8

y = $12

Therefore, the cost of one bag of windflower bulbs is $12 and the cost of one bag of daffodil bulbs is $8.

9. Let the cost of one foot of grass sod be x and the cost of one pot of ivy be y. Then write two equations based on the given information:

12x + 7y = 101

3x + 10y = 116

Solving for x and y:

x = 5

y = 11

Therefore, the cost of one foot of grass sod is $5 and the cost of one pot of ivy is $11.

10. Let the price of one adult ticket be x and the price of one child ticket be y. Then write two equations based on the given information:

4x + 5y = 36

x + y = 8

Solving for x and y:

x = 4.

y = 4.

Therefore, the price of one adult ticket is $4 and the price of one child ticket is $4.

Find out more on linear expression here: https://brainly.com/question/29881803

#SPJ1

Answer:

15.10 ft to nearest hundredth.

Step-by-step explanation:

We have 2 right triangles one within the other

For the larger triangle

tan 43 = h / 65    where h is the total height to the top of steeple from ground

h = 65 tan 43

For small triangle

tan 35 = h2 / 65   where h2 is the hoght of the bottom of steeple from the ground

h2 = 65 tan 35

So height of the steeple

= h - h2

= 65 tan43 - 65 tan35

= 15.099 feet.

There are 60 total bananas in the stack.

Using algebra to translate the problem statement into an equation. Represent the total number of bananas in the stack with a variable, and we use the fact that 60 percent of the bananas are ripe to set up the equation 0.6x = 36.

Here we have

In the Choosy Shopper supermarket,

60% of the bananas in a display stack are ripe.

There are 36 ripe bananas.

Let's assume that the total number of bananas in the stack is "x".

We know that 60% of the bananas are ripe, so we can it in form of an equation that is

=> 60% of x = 36

=> [ 60/100 ] × x = 36

=>  0.6x = 36

To solve for x, we need to isolate it on one side of the equation. This can be done by dividing both sides of the equation by 0.6:

=> x = 36 / 0.6

=> x = 60

Therefore,

There are 60 total bananas in the stack.

Learn more about Equation at

https://brainly.com/question/29538993

#SPJ1

Answer:

x = (-3 + sqrt(23)i) / 2 and x = (-3 - sqrt(23)i) / 2.

Step-by-step explanation:

To solve the quadratic equation -x^2 + 3x - 8 = 0, we can use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = -1, b = 3, and c = -8. Substituting into the quadratic formula, we get:

x = (-3 ± sqrt(3^2 - 4(-1)(-8))) / 2(-1)

Simplifying the expression inside the square root:

x = (-3 ± sqrt(9 - 32)) / (-2)

x = (-3 ± sqrt(-23)) / (-2)

Since the square root of a negative number is not a real number, the solutions to this quadratic equation are complex numbers. We can simplify the expression by writing the solutions in terms of the imaginary unit i:

x = (-3 ± sqrt(23)i) / 2

Therefore, the solutions to the quadratic equation -x^2 + 3x - 8 = 0 are x = (-3 + sqrt(23)i) / 2 and x = (-3 - sqrt(23)i) / 2.

D, the probability that x is less than 11.5 is 0.0186

To solve this problem, you need to find the probability that x is less than 11.5 given that x is a normally distributed random variable with a mean of 24 and a standard deviation of 6. Follow these steps:

1. Calculate the z-score: z = (x - mean) / standard deviation
  z = (11.5 - 24) / 6
  z = -12.5 / 6
  z ≈ -2.083

2. Use a z-table or calculator to find the probability corresponding to the z-score. For a z-score of -2.083, the probability is approximately 0.0186.

Therefore, the probability that x is less than 11.5 is 0.0186, which corresponds to answer choice (d).

Learn more about Z-table here: brainly.com/question/31299140

#SPJ11

Answer:

-----------------------

Given:

The difference is the amount of decrease:

Find the percentage decrease:

Therefore, the price of the car has been reduced by 17%.

The price of the car has been decreased by  of 17% percentage.

To find the percentage decrease of the price of the car

Calculate the difference between the original price and the reduced price

Divide difference by the original price, and then multiply by 100 to convert it to a percentage:

Percentage decrease = (reduction in price / original price) x 100%

The reduction in price is:

$17,500 - $14,525 = $2,975

The original price is:

$17,500

So the percentage decrease is:

(2975 / 17500) x 100% = 17%

Therefore, the price of the car has been decreased by 17%.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

The impact of tobacco production on the war effort was likely just one of many factors, and there were numerous other economic, political, and military factors at play during this time period.

Since, From a historical perspective, higher rates of tobacco production might have given the Confederacy an advantage during the American Civil War because tobacco was a highly valuable and profitable crop at that time.

Here, The Confederacy relied heavily on the export of cotton and tobacco to fund their war effort, and the higher rates of tobacco production would have allowed them to generate more revenue through exports.

Additionally, tobacco was used as a form of currency and could be traded for goods and services, which would have helped support the Confederate economy.

However, the impact of tobacco production on the war effort was likely just one of many factors, and there were numerous other economic, political, and military factors at play during this time period.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

The total number of rows of tiles paved in a path 1845 total used tiles is equal to 15.

Total number of tiles used = 1845

Number of columns  = 15

Let us assume that there are 'n' rows of tiles in the path.

Since there are 15 columns of equal number of tiles.

Divide the total number of tiles used by the number of columns to get the number of tiles in each column.

⇒Number of tiles in each column = Total number of tiles / Number of columns

⇒Number of tiles in each column = 1845 / 15

⇒Number of tiles in each column = 123

So each column has 123 tiles.

The number of rows,

= Divide total number of tiles used by the number of tiles in each row same as number of tiles in each column.

⇒ Number of rows = Total number of tiles / Number of tiles in each row

⇒ Number of rows = 1845 / 123

⇒ Number of rows = 15

Therefore, there are 15 rows of tiles in the path.

Learn more about tiles here

brainly.com/question/29506459

#SPJ4

The alternating series error bound is 0.05.

Firstly, let us recall what the alternating series means. An alternating series is a series whose terms are alternatively positive and negative. Mathematically, an alternating series is represented as:

s = a1 - a2 + a3 - a4 + a5 - ...

Where a1, a2, a3, ... are positive real numbers.

Now, let us suppose that the alternating series converges to a limit s. In that case, we know that the sequence of partial sums {Sn} converges to s as well. Mathematically, we can represent this as:

lim n→∞ Sn = s

In the question, we are given the values of the partial sum for four values of n. Let us suppose that these values are:

s2 = 2

s4 = 3.1

s6 = 3.45

s8 = 3.55

Therefore, we know that |a9| is less than or equal to |a8|. Mathematically, we can represent this as:

|a9| <= |a8|

Therefore, the alternating series error bound is given by:

|s - s8| <= |a9| <= |a8|

Now, to determine the error bound, we need to find the value of |a8|. To do this, we can use the fact that:

a8 = s9 - s8

From the values given in the table, we know that s9 = 3.6. Therefore,

|a8| = |s9 - s8| = |3.6 - 3.55| = 0.05

This means that if we use s8 to approximate the value of the series, the actual value of the series is within 0.05 of the approximation.

To know more about converges here

https://brainly.com/question/15415793

#SPJ4

The compound inequality to show the distance from Kariuki's home to the chief's camp is 5 < d < 8.

The compound inequality is calculated as follows;

Let d be the distance from Kariuki's home to the chief's camp in kilometers.

From the question, we can deduce that;

Kariuki cycles 5km from his home to school: d > 5

Kariuki cycles 8km from his home to the market: d < 8

Therefore, the distance from Kariuki's home to the chief's camp is between 5km and 8km, but not equal to either of those values.

The compound inequality = 5 < d < 8

Learn more about compound inequality here: https://brainly.com/question/28597739

#SPJ4

The environmental agency should sample at least 746 vehicles.

In order to determine how many cars should be sampled for a full investigation, we can use the formula for sample size:
n = (Z^2 * p * q) / E^2
where:
- n = sample size
- Z = the Z-score for the desired level of confidence (in this case, 1.645 for 90% confidence)
- p = the proportion of cars in the population with faulty emissions systems (which we can estimate as 12/60 = 0.2 based on the initial sample)
- q = 1 - p
- E = the desired margin of error (2% in this case, or 0.02)
Plugging in these values, we get:
n = (1.645^2 * 0.2 * 0.8) / 0.02^2
n ≈ 746
Therefore, the environmental agency should sample at least 746 vehicles for a full investigation in order to estimate the percentage of cars violating clean air emissions standards with a margin of error of 2% and 90% confidence.

Hence  ,To estimate the percentage of cars violating clean air emissions standards with a margin of error of 2% and 90% confidence, the environmental agency should sample at least 746 vehicles for a full investigation.

learn more about margin of error click here:

https://brainly.com/question/10218601

#SPJ11

The volume of the pyramid is 33.3 cm³.

The diagram above is a triangular pyramid.  The volume of the triangular pyramid can be calculated as follows:

volume of triangular pyramid = 1 / 3 × base area × height

base area = 1 / 2 bh

base area = 1 / 2 ×5 × 5

base area = 25 / 2

base area = 12.5 cm

volume of triangular pyramid =  1 / 3 × 12.5 × 8

volume of triangular pyramid =  100 / 3

volume of triangular pyramid =  33.3333333333

volume of triangular pyramid = 33.3 cm³

learn more on volume here: https://brainly.com/question/28977958

#SPJ1

When an optimistic tile is coupled to a negative tile in the provided framework a zero pair may be produced, giving rise to a net value of 0.

We can make a zero pair by using these as there are two x tiles as well as one negative x tile. We also have two negative and three plus sign tiles, which can be used to make one more pair of zeros. As a result, this approach allows for the creation of a pair zero pairs altogether.

We can put a minus x tile close to each of its positive x tiles to make the initial zero pair. Net value will be zero as a result of this.

We can put one negative tile behind two positive tiles to make the second zero pair. This will result in a net value of zero as well.

Overall, understanding the concept of zero pairs is essential in basic algebra and helps in simplifying expressions by eliminating terms that add upto zero.

Learn more about algebra here:

https://brainly.com/question/19447945

#SPJ4

If Porter's family ordered 3 pizzas and they ate 1 pizza, then they are left with 2 pizzas.

None of the given options is correct.

Given information:

Porter's family ordered 3 pizzas. They ate 1 of the pizzas.

Since the question is asking for the amount of pizza left, the answer can be evaluated by subtraction operation:

Mathematical operations like subtraction exist.

It is employed to delete words or objects from the phrase.

As per the above concept, apply in the situation,

3 pizzas - 1 pizza = 2 pizzas.

Therefore, the correct answer is not listed among the options provided.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ1

Answer: F,B,D

Hope this helps : )

Step-by-step explanation:

Answer:

B, C, F

Step-by-step explanation:

B, C, and F are the only correct statements

Draw the 2 triangles, correctly labeled, and compare them.  This makes it easy to visualize which choices are true vs. false.

A series of numbers or any digital data that passes one or more statistical tests for randomness but was generated using a specific mathematical technique is known as a pseudorandom number.

Because the algorithm can repeat the sequence, it is known as "pseudo" random because the numbers are not completely random.

The difference between random and pseudorandom is thus made. For our purposes, anything is considered pseudorandom if it is statistically random. Pseudorandom indicates that it is created by an algorithm that creates a sequence of bits that seem random but are actually calculated using an algorithm.

The following characteristics of a pseudorandom sequence generator should be present: strong output sequence randomization features, speed and efficiency, reproducibility, and long period.

To know about pseudorandom

https://brainly.com/question/30857636

#SPJ4

All points on the graph is collinear and slope of the equation is 1 and y - intercept is 0.

What is graph?

Graphs can be represented visually as diagrams with the vertices as points or circles and the edges as lines or arrows connecting them.

Graphs can be directed or undirected depending on whether the edges have a specific direction or not. They can also be weighted meaning which each side has a numerical value or weight associated with it.Graphs have numerous applications in different fields including computer science, social sciences, physics and biology. They are used to model networks such as social networks and transportation networks and communication networks to name a few examples.

They are also used in algorithms for searching and optimization as well as in data visualization and analysis.

Here given equation is y = x.

If we compare this equation with the equation y = mx+c then we will get m = 1 and c = 0 where m is slope and y is y-intercept.

It is also clear here y and x contain same value.

In the given graph, it is clear that the line passes through (-2,-2), (-1,-1), (0,0), (1,1), (2,2) e.t.c

So, all points on the graph is collinear.

Learn more about graph here,

https://brainly.com/question/28279103

#SPJ1

Answer:

0.436 ≠ 0.064

Step-by-step explanation:

P(A and B)=P(A) x P(B)

0.436 = 0.4 x 0.16

0.436 ≠ 0.064

Answer:

Step-by-step explanation:

Yes the bases must be the same

If you multiply, add the exponents.  Ex:  x² * x³ = [tex]x^{5}[/tex]

When dividing, subtract.  Ex. [tex]\frac{x^{6} }{x^{2} }[/tex] = [tex]x^{4}[/tex]

When it's to the power to the power, multiply exponents Ex.  [tex](x^{5} )^{2} = x^{10}[/tex]

[tex](\frac{x}{y} )^({ax-ax} )^{a/b} = (\frac{x}{y} )^{(0)} =1[/tex]    anything to the 0 power is 1

It's not clear what your last question part was.

Answer:(2v+1)(v+5)

Step-by-step explanation:

your factors should add up to 11 and multiply to 5;

possible facotrs: 1,5

2x5=10

+1=11

yay

The calculated length of the rectangle is 10.5 cm

From the question, we have the following parameters that can be used in our computation:

Six identical right-angled triangle

The length of the right-angled triangle is

base length = 7 cm

based on the arrangement, we have

Rectangle length = base length + 1/2 * base length

So, we have

Rectangle length = 7 + 1/2 * 7

Evaluate

Rectangle length = 10.5

Read more about lengths at

https://brainly.com/question/24487155

#SPJ1

Associated terms:

The formula for Calculating the Surface Area of a Cube:

[tex]SA=6s^2[/tex]

s = the side length

[tex]SA=6(4in)^2 = 54inches^2[/tex]

The solution is, the values of x & y is 1 and 3.

The given equations are

y = -x + 4

y = 3x

We would substitute y = 3x into y = -x + 4. It becomes

3x = - x + 4

Adding x to both sides of the equation, we have

3x + x = - x + x + 4

4x = 4

Dividing both sides of the equation by 4, we have

4x/4 = 4/4

x = 1

Substituting x = 1 into y = 3x, we have

y = 3 * 1

y = 3

To learn more on equation click:

brainly.com/question/24169758

#SPJ1

complete question:

Problem 1) Y=-x+4 Y=3x

Answer:

[tex]36x - 16 = 4(9x - 4)[/tex]

The measure of angle HLK from the circle J is 34°.

Given that, in circle J, the measure of angle HJK is 34°.

The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Here, measure of arc HK =34° (∵∠HJK=34°)

Now, measure of arc HK = ∠HLK=34°

Therefore, the measure of angle HLK from the circle J is 34°.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ1

The length of segment PQ is equal to 6 units.

In Mathematics and Geometry, the Tangent Secant Theorem states that if a secant segment and a tangent segment are drawn to an external point outside a circle, then, the product of the length of the external segment and the secant segment's length would be equal to the square of the tangent segment's length.

By applying the Tangent Secant Theorem to this circle, we have the following:

RT × RS = QR × RP

12 × 4 = QR × 6

QR = 48/6

QR = 8 units.

PQ + RP = QR

PQ + 2 = 8

PQ = 8 - 2

PQ = 6 units.

Read more on Tangent Secant Theorem here: https://brainly.com/question/26826991

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Step-by-step explanation:

this means it filters the whole water (30,000 gallons) every 8 hours.

so the pump pumps with the rate of

30,000 gallons / 8 hours

but we need the adjusted rate for gallons per 1 hour.

so, what do we do ?

we divide top and bottom (numerator and denominator) of the fraction (every ratio is also a fraction) by 8. it is important that we use the same value for both to keep the overall value of the fraction unchanged.

so we get

30,000/8 / 8/8 = 3,750 gallons / 1 hour

The correct answers are:

• 31,878, The explanation Is on the bottom.

Mr. Lara's family has taxable earnings of 36,623 this year and they have paid 4,745 in withholding taxes. This means that their net income after taxes is calculated by subtracting the withholding taxes from their taxable earnings, which comes out to be 31,878. It is important to note that this is the amount of income that is subject to federal and state income taxes, and other deductions such as Social Security and Medicare may also apply.

• Another explanation on how to get the answer.

Mr. Lara's family earned 36,623 in taxable earnings and paid 4,745 in withholding taxes, leaving them with a net income of 31,878. This is the amount they will receive after taxes are deducted.

• Last explanation to get answer.

Mr. Lara's family had taxable earnings of $36,623 this year and paid $4,745 in withholding taxes. Their net income after taxes is calculated by subtracting the withholding taxes from their taxable earnings, leaving them with $31,878. It is important to note that this is their net income after all taxes have been paid and may not necessarily reflect their actual take-home pay, as there may be other deductions such as retirement contributions or health insurance premiums. Overall, their net income after taxes represents the amount they have available for living expenses and savings.

The equation for the transformed function in the graph is:

g(x) = 2x² + 3

We know that g(x) is a transformation of f(x)=  x².

First, we can see that the y-intercept is 3 units above of the one of f(x), so we have a vertical translation of 3 units.

We also can see that the graph is narrower, so there is a coefficient larger than 1, the only option that meets these two conditions is:

g(x) = 2x² + 3

Where the leading coefficient is larger than 1, and the constant term (and thus the y-intercept) is positive.

Learn more about transformations at:

https://brainly.com/question/4289712

#SPJ1