could someone help me with 7 and 8 i don’t really understand this..

The hotel served 306 gallons of orange juice this year.

To find the amount of orange juice served this year, we need to add 70% more of the amount served last year to the amount served last year. Let's denote the amount served last year as "x". Then we can set up the equation:

Simplifying this equation gives us:

We know from the problem that the amount served last year was 180 gallons. Plugging this into our equation, we get:

Simplifying this equation gives us:

Therefore, the hotel served 306 gallons of orange juice this year.

In summary, we used the information given in the problem to set up an equation and solve for the amount of orange juice served this year. We first found the amount served last year, and then added 70% more of that amount to get the total amount served this year.

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The z value when making 98% confidence interval for p will be 2.33.

When making a confidence interval for a proportion, we use the standard normal distribution, and the value of z depends on the level of confidence we want to achieve.

In this case, we want to make a 98% confidence interval, which means that we want to be 98% confident that the true proportion falls within our interval.

To determine the value of z, we can use a z-table or a calculator. The z-value corresponding to a 98% confidence level is 2.33. Therefore, we use 2.33 as our value of z when making a 98% confidence interval for p.

It is not impossible to make a 98% confidence interval, and the value of z is not 2.88. The z-value of 2.88 corresponds to a much higher confidence level of approximately 99.5%. Using a higher confidence level means we can be more confident that our interval contains the true proportion, but it also means that our interval will be wider, which reduces its precision.

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Answer:

If the store marks up the price of the diving board by 45%, the selling price will be 100% + 45% = 145% of the cost price.

Let's calculate the selling price:

Selling price = Cost price + Mark-up

Mark-up = Selling price - Cost price

Mark-up = (145% of cost price) - cost price

Mark-up = 0.45 * cost price

We know that the store paid $261 for the diving board, so:

Mark-up = 0.45 * $261 = $117.45

Therefore, the amount of the mark-up is $117.45.

well, what's 45% of 261?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{45\% of 261}}{\left( \cfrac{45}{100} \right)261}\implies \text{\LARGE 117.45}[/tex]

Answer: 180,000 g

Step-by-step explanation:

1st add all masses together:

80kg + 40kg + 60 kg = 180 kg

then we need to convert kilograms to grams:

1 kg = 1000g

180kg * (1000g / 1kg) = 180,000 g

To calculate the total mass (in grams) of the three boxes, we first need to convert their masses from kilograms to grams and then add them together.

The mass of the first box is 80 kg, which is equivalent to 80,000 grams (because 1 kg = 1000 grams).

The mass of the second box is 40 kilograms, or 40,000 grams.

The mass of the third box is 60 kilograms, or 60,000 grams.

To find the total mass of the three boxes, we add these values:

80,000 grams + 40,000 grams + 60,000 grams = 180,000 grams

Therefore, The total mass of the three boxes in gram is 180,000

The correct answer is D) 180,000

Answer:

115

Step-by-step explanation:

5 times 23= answer

If r(x) is a rational function in simplest form where the degree of the numerator is 3 and the degree of the denominator is 1, a)then r(x) has a horizontal asymptote at y=0.

This is because the degree of the denominator is greater than the degree of the numerator, which means that as x gets very large or very small, the denominator will dominate the behavior of the function.

As a result, the function will approach zero, and thus, there is a horizontal asymptote at y=0. If the degree of the numerator were greater than or equal to the degree of the denominator, then the function could have a horizontal asymptote at a nonzero value or no horizontal asymptote at all.

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Answer:

29

Step-by-step explanation:

First, let's find out how many members are added to the squad with the new coach:

45% of 20 = 0.45 x 20 = 9

So, with the new coach, there are 9 more members added to the squad.

Now, to find the total number of members on the squad with the new coach, we just need to add the old number of members (20) to the number of new members added (9):

20 + 9 = 29

Therefore, there are now 29 members on the cheerleading squad at Morristown High School with the new coach.

The solutions for the systems of inequalities are:

a) (0, -50), (0, -100), (0, -125)

b)  (0, 20), (0, 23) , (0, 24).

When we have a system of inequalities, a solution is a point (x, y) that solves both ienqualities at the same time.

The first one is:

y ≤ x - 8

y < -3x - 9

Here y must be smaller than x, then we can define x like x = 0, and really small values for y, like y = -50, replacing that we will get:

-50  ≤ 0 - 8 = -8

-50 < - 3*0 - 9 = -9

Both of these are true, so (0, -50) is a solution, and trivially, other solutions of the system of inequalities can be things like (0, -100) and (0, -125) are other two solutions.

For the second system:

y > 5x + 1

y > 3

Let's do the same thing, x = 0 and y gets really large values, like y = 20

20 > 5* + 1 = 1  this is true.

20 > 3   this is true.

so (0, 20) is a solution, and also are (0, 23) and (0, 24).

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Answer:

12b (1-2) -n (u-8) this is the answer

Answer:

Were sorry! Answer is not available right now check in later.

Step-by-step explanation:

The value of x in the right triangle when calculated is approximately 13.8 units

Given the right-angled triangle

The side length x can be calculated using the following sine ratio

So, we have

sin(39) = x/22

To find x, we can use the fact that sin(39 degrees) = x/22 and solve for x.

First, we can use a calculator to find the value of sin(39 degrees), which is approximately 0.6293.

Then, we can set up the equation:

0.6293 = x/22

To solve for x, we can multiply both sides by 22:

0.6293 * 22 = x

13.8446 = x

Rewrite as

x = 13.8446

Approximate the value of x

x = 13.8

Therefore, x is approximately 13.8 in the triangle

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Answer:

120

Step-by-step explanation:

20 percent of 600 is 120 so he will get 120

A  homogeneous linear differential equation with constant coefficients has the form a_

n y^{(n)} + a_{n-1} y^{(n-1)} + ... + a_1 y' + a_0 y = 0,

where a_n, a_{n-1}, etc. are all constants. The general solution of this equation is given by y = c_1 e^{\lambda_1 t} + c_2 e^{\lambda_2 t} + ... + c_n e^{\lambda_n t}, where c_1, c_2, etc. are constants and \lambda_1, \lambda_2, etc. are the roots of the characteristic equation a_n \lambda^n + a_{n-1} \lambda^{n-1} + ... + a_1 \lambda + a_0 = 0.

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Answer: x = 6

Step-by-step explanation:

(7x+3)+85+50 = 180

(7x+3)+135 = 180

7x+3 = 180 - 135 = 45

7x = 45-3 = 42

x = 42 / 7 = 6

x = 6

The following is the recursive formula for the arithmetic sequence in this issue:

c(1) = -16.

c(n) = c(n - 1) - 17.

An arithmetic sequence is a series of numbers where each term is obtained by adding a fixed constant, known as the common difference, to the previous term. For example, in the sequence 2, 5, 8, 11, 14, 17, each term is obtained by adding 3 to the previous term.

The formula for finding the nth term of an arithmetic sequence is: a(n) = a(1) + (n-1)d, where a(1) is the first term, d is the common difference, and n is the term number. For example, to find the 10th term of the sequence 2, 5, 8, 11, 14, 17, we would use the formula a(10) = 2 + (10-1)3 = 29. Arithmetic sequences have many practical applications, such as in finance, where they can be used to calculate the interest earned on an investment over time.

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 In conclusion, the Poisson distribution was successfully applied by Student (1907) to the study of errors in counting yeast cells or blood corpuscles with a haemacytometer. It is possible to calculate an approximate 95% confidence interval for each estimated count, as well as to compare observed and expected counts.

The Poisson distribution was first applied to the study of errors made in counting yeast cells or blood corpuscles with a haemacytometer by Student (1907). The study involved the preparation of four different concentrations of a mixture of yeast cells, water, and gelatin spread on a glass. Counts were made on 400 squares and the data summarized in the following table.

An approximate 95% confidence interval for each estimate can be calculated using the Poisson distribution. For each of the four concentrations, the lower bound of the confidence interval is given by the formula x - 1.96*sqrt(x) and the upper bound is given by the formula x + 1.96*sqrt(x), where x is the observed count for that concentration.

It is also possible to compare the observed counts with the expected counts for each concentration. The expected count for each concentration is given by the formula λ = n*p, where n is the number of squares and p is the probability of an event occurring in a single square. The expected counts can be compared to the observed counts to determine whether they are in agreement with the Poisson distribution.

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Answer:

|2x + 1| = 7

|2x − 1| = 7

2x + 1 = -7 or 2x + 1 = 7

Step-by-step explanation:

or if u have no time

C, E, F.

These might not be in order but hey they are correct amiright :/

Answer: false

Step-by-step explanation:

The equation representing total fraction strip is  ³/₃ + ¹/₃ = ⁴/₃.

option B.

A fraction is a mathematical representation of a part of a whole or a ratio between two numbers. It consists of a numerator, which represents the number of parts being considered, and a denominator, which represents the total number of parts in the whole.

For this case, 1 is divided into, and 1 divide into 3.

To obtain the total fractions, we will add the individual fractions as shown below;

For this first fraction = ¹/₃ + ¹/₃ + ¹/₃

For the second fraction = ¹/₃

Total fraction = 3(¹/₃ + ¹/₃ + ¹/₃) + ¹/₃

Total fraction = ³/₃ + ¹/₃ = ⁴/₃

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The answer of the given question based on the circle on finding the measure of the manilla angle the answer will be  the measure of the manila angle is 110° degrees.

A circle is  closed, two-dimensional shape that consists of all points in  plane that are equidistant from  given point, called center of the circle. The distance from  center to any point on circle is called  radius of the circle.

The circumference of  circle is distance around the circle, and it is equal to 2π times radius. Circles are fundamental concept in geometry and are used in many fields, like physics, engineering, and architecture. They are also used to represent cycles, cycles of time, and the cyclical nature of life.

If the entire pink arc measures 200° degrees and the entire blue arc measures 50° degrees, then the sum of the measures of the three arcs (pink, blue, and manila) is 360° degrees, which is the total measure of a circle.

To find the measure of the manila angle, we need to subtract the measures of the pink and blue arcs from 360° degrees:

360° degrees - 200° degrees - 50° degrees = 110° degrees

Therefore, the measure of the manila angle is 110° degrees.

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Ryan makes a profit of £240.  the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.

Ryan spends £190 to buy 80 jumpers. He sells 50% of the jumpers, i.e. 40 jumpers, at £12 each. This brings the total sales to £480. Then, he puts the remaining 40 jumpers on a Buy one get one half price offer. He sells 20 of the remaining jumpers using this offer. Therefore, the total sales now amount to £600. By subtracting the cost of the jumpers, i.e. £190, from the total sales, we calculate that Ryan makes a profit of £240.

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Answer:

x = 24/19

Step-by-step explanation:

Let's use algebra to solve this problem.

Let's say the number we're looking for is x.

According to the problem, "Some number minus 24" can be written as "x - 24".

And "the product of the number and -18" can be written as "x*(-18)" or simply "-18x".

So the equation we need to solve is:

x - 24 = -18x

We can solve for x by adding 18x to both sides of the equation:

x + 18x - 24 = -18x + 18x

Simplifying the left side of the equation gives:

19x - 24 = 0

Then we can add 24 to both sides of the equation to isolate the x term:

19x - 24 + 24 = 0 + 24

Simplifying the left side of the equation gives:

19x = 24

Finally, we can solve for x by dividing both sides of the equation by 19:

x = 24/19

Answer:

あたしの最後はあなたがいい (いい)

あなたとこのままおサラバするより

死ぬのがいいわ

死ぬのがいいわ

三度の飯よりあんたがええのよ

あんたとこのままおサラバするよか

死ぬのがいいわ

死ぬのがいいわ

それでも時々 浮つく

Step-by-step explanation:

Given the demand function P=$6.00-0.100(Qd)

a) at a price of $2.00, the quantity demanded is 40 units, thus, Total Revenue = $80

b) at a price of $1.00, the quantity demanded is 50 units, thus, Total Revenue  = $50

c) Since the price elasticity of demand is less than 1, demand is price inelastic between these two prices.

Given the demand function P=$4.80-0.060(Qd)

d)
The optimal price to maximize total revenue is $2.40 and the optimal quantity is 40 units. TR = $96

e) When the price is $3.00 and the quantity demanded is 30, TR = $90

f) When the price is $1.80 and the quantity demanded is 50, the total revenue = $90

g) If demand is price elastic and the market price is $3.00, total revenue can be increased by reducing the price.

A demand function is a mathematical equation that describes the relationship between the price of a good or service and the quantity of that good or service that consumers are willing and able to purchase at that price.

a. When the price is $2.00, the quantity demanded can be calculated by setting Qd equal to 2.00 in the demand equation:

Qd = (6.00 - 0.100Qd)

2.00 = (6.00 - 0.100Qd)

0.100Qd = 4.00

Qd = 40

Therefore, at a price of $2.00, the quantity demanded is 40 units. The total revenue can be calculated by multiplying the price by the quantity demanded:

Total Revenue = Price x Quantity Demanded = 2.00 x 40 = $80

b. When the price is $1.00, the quantity demanded can be calculated in the same way:

Qd = (6.00 - 0.100Qd)

1.00 = (6.00 - 0.100Qd)

0.100Qd = 5.00

Qd = 50

Therefore, at a price of $1.00, the quantity demanded is 50 units. The total revenue can be calculated as:

Total Revenue = Price x Quantity Demanded = 1.00 x 50 = $50

c. To determine the price elasticity of demand between these two prices, we need to compare the percentage change in quantity demanded to the percentage change in price.

At a price of $2.00, the quantity demanded is 40 units. At a price of $1.00, the quantity demanded is 50 units. The percentage change in quantity demanded can be calculated as:

% Change in Quantity Demanded = (New Quantity Demanded - Old Quantity Demanded) / Old Quantity Demanded x 100%

= (50 - 40) / 40 x 100% = 25%

The percentage change in price can be calculated as:

% Change in Price = (New Price - Old Price) / Old Price x 100%

= (1.00 - 2.00) / 2.00 x 100% = -50%

The price elasticity of demand between these two prices can be calculated as:

Price Elasticity of Demand = % Change in Quantity Demanded / % Change in Price

= 25% / -50%

= -0.5

Since the price elasticity of demand is less than 1, demand is price inelastic between these two prices. This means that a change in price will result in a proportionately smaller change in quantity demanded.

d). To find the optimal price and quantity to maximize total revenue, we need to take the derivative of the total revenue function with respect to quantity and set it equal to zero.

Total Revenue = Price x Quantity Demanded

TR = (4.80 - 0.060Qd)Qd

TR = 4.80Qd - 0.060Qd^2

Taking the derivative of TR with respect to Qd:

dTR/dQd = 4.80 - 0.120Qd

Setting dTR/dQd equal to zero:

4.80 - 0.120Qd = 0

Qd = 40

Substituting Qd = 40 into the demand equation to find the optimal price:

P = 4.80 - 0.060(40)

P = 2.40

Therefore, the optimal price to maximize total revenue is $2.40 and the optimal quantity is 40 units. The total revenue can be calculated as:

TR = P x Q = 2.40 x 40 = $96

e. When the price is $3.00 and the quantity demanded is 30, the total revenue can be calculated as:

TR = P x Q = 3.00 x 30 = $90

f. When the price is $1.80 and the quantity demanded is 50, the total revenue can be calculated as:

TR = P x Q = 1.80 x 50 = $90

g. If demand is price elastic and the market price is $3.00, total revenue can be increased by reducing the price. This is because the percentage increase in quantity demanded will be greater than the percentage decrease in price, resulting in a net increase in total revenue.


Therefore, the company could consider lowering the price from $3.00 to a price closer to the optimal price of $2.40 to increase total revenue.

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Answer:

5.333 hours

Step-by-step explanation:

We know

4 Pipes fill a tank in 16 hours.

How long will it take to fill the tank if 12 pipes of the same dimensions are used?

We Take

16 x 1/3 = 5.333 hours

So, it takes about 5.333 hours to fill the tank.

The solution to the system of equations is (x, y) = (1, -1) where the given equations are 11x+9y=-20 and x=-5y-6.

The substitution method is a technique used in algebra to solve systems of equations by replacing one variable with an expression containing another variable. The goal is to eliminate one of the variables so that we can solve for the other one.

We are given the following system of two equations with two variables:

11x + 9y = -20 (equation 1)

x = -5y - 6 (equation 2)

To solve the system using the substitution method, we need to solve one of the equations for one of the variables, and then substitute the expression for that variable into the other equation. Let's solve equation 2 for x:

x = -5y - 6

Now we can substitute this expression for x into equation 1, and solve for y:

11x + 9y = -20

11(-5y - 6) + 9y = -20 (substituting x = -5y - 6)

-55y - 66 + 9y = -20

-46y = 46

y = -1

Now that we have found y = -1, we can substitute this value back into equation 2 and solve for x:

x = -5y - 6

x = -5(-1) - 6

x = 1

Therefore, the solution to the system of equations is (x, y) = (1, -1).

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The test has demonstrated a good level of test-retest reliability.

If a student took an assessment on their math ability at one time point and then the same assessment a month later, with no substantial changes such as getting a tutor, and their math ability was the same between time 1 and time 2, then the assessment has achieved Test-Retest Reliability.Test-Retest Reliability: Test-Retest reliability is the measure of consistency of a test over time. A test has test-retest reliability if a person performs similarly on the same test taken at two different times.A reliable test must always provide consistent results. Therefore, if the math ability was the same between time 1 and time 2, and no substantial changes occurred during that time, then the test has demonstrated a good level of test-retest reliability.

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The number of students on the bus is 40.

The first step is to form two equations that represent the information in the question:

a + b = 45 equation 1

375a + 200b = 9875 equation 2

Where:

a = number of adults in the bus

b = number of students in the bus

The elimination method would be used to determine the number of students on the bus.

Multiply equation 1 by 375

375a + 375b = 16,875 equation 3

Subtract equation 2 from equation 3

175b = 7000

Divide both sides of the equation by 175

b = 7000 / 175

b = 40

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The volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + 2y + 3z = 3 is 12 cubic units.

To calculate the volume, we can use the formula V = l × w × h, where l = length, w = width and h = height.

The three faces lie on the coordinate planes, so we can use the equation x + 2y + 3z = 3 to find the coordinates of the vertex. We can solve for the values of x, y, and z and plug them into the formula.

We will use the substitution method:

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The car must travel at an average speed of 105 km/h to cover the same distance in 3 hours and 30 minutes.

Let's start by calculating the distance covered by the car in 3 hours 40 minutes.

3 hours 40 minutes is equal to 3.67 hours.

Distance = Speed × Time

Distance = 100 km/h × 3.67 h

Distance = 367 km

Now, let's find the average speed the car must travel to cover the same distance in 3 hours and 30 minutes.

3 hours and 30 minutes is equal to 3.5 hours.

Distance = Speed × Time

367 km = Speed × 3.5 h

Speed = Distance / Time

Speed = 367 km / 3.5 h

Speed = 105 km/h

Therefore, the car must travel at an average speed of 105 km/h to cover the same distance in 3 hours and 30 minutes.

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