Solve for y.
y + 7x = 14
y = [?]x +[?]

The solution is:  the hire Purchas Price of the stove is:

$3,525.00

Explanation:

The hire purchase price will be the sum of the deposit and the total monthly installments.

The deposit is $750

Monthly installments =monthly fee multiplied by 15 months

=$185 x 15

=$2,775.00

Hire purchase cost will be

=$2,775.00 +$750

=$3,525.00

Hence, The solution is:  the hire Purchas Price of the stove is:

$3,525.00

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complete question:

A Stove Can be bought on hire purchase by making a deposit of $750

and 15 monthly installments of $185 each. Calculate the hire Purchase

Price of the stove

Answer:

The cost of one pack of pencils is $1.50 and cost of one pack of pens is $1.75

Step-by-step explanation:

We can create a system of equations from the given information and then solve it for the value of x and y.

Let,

x be the cost of one pack of pencils

y be the cost of one pack of pens

According to the given statement;

2x+3y=8.25    Eqn 1

5x+2y=11.00   Eqn 2

Multiplying Eqn 1 by 2;

Multiplying Eqb 2 by 3;

Subtracting Eqn 3 from Eqn 4

Dividing both sides by 11

Putting x=1.5 in Eqn 1

Dividing both sides by 3

The cost of one pack of pencils is $1.50 and cost of one pack of pens is $1.75

Answer: The thousands place

Step-by-step explanation: the two is the tenths place, all the 0 are one, tens, and hundreds place

The percentage of $898.01 billion that is spent on $161.4 billion​ is equal to 17.97%.

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to determine the percentage, we would use the following mathematical expression:

Percentage = 161.4/898.01 × 100

Percentage = 0.1797 × 100  

Percentage = 17.97%

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Answer:

SA = 360π in²

Step-by-step explanation:

The slant height l is the hypotenuse of the right triangle inside the cone.

Using Pythagoras' identity to find l

l² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )

l = \(\sqrt{676}\) = 26

Then

SA = πrl + πr²

      = (π × 10 × 26) + (π × 10²)

      = 260π + 100π

      = 360π in²

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer:

Can we have a picture or more information, please? Thanks!

Step-by-step explanation:

not to scale

the answer should be

\(14x + 2\)

The perimeter of triangle is \((14x+2)\) unit.

The perimeter of triangle is sum of length of all three sides of triangle.

From figure, sides of triangle are,

                \(3x+2,5x,6x\)

Now, find perimeter of given triangle,

                \(Perimeter=3x+2+5x+6x\\\\Perimeter=8x+6x+2\\\\Perimeter=14x+2\)

Thus, the perimeter of triangle is \((14x+2)\) unit.

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To calculate the change in volume of the box when the cutout length increases from 0.8 to 3.4 inches, we need to consider the dimensions and geometry of the box.

Let's consider an example where the box is a rectangular prism, and we'll calculate the change in volume when the cutout length increases from 0.8 to 3.4 inches.

Assuming the box has dimensions:

Length: 10 inches

Width: 6 inches

Height: 4 inches

To calculate the initial volume of the box with a cutout length of 0.8 inches, we need to subtract the volume of the cutout from the total volume of the box.

Initial volume = Length * Width * Height - Cutout volume

Initial volume = 10 inches * 6 inches * 4 inches - (0.8 inches * 6 inches * 4 inches)

Initial volume = 240 cubic inches - 19.2 cubic inches

Initial volume = 220.8 cubic inches

Now, let's calculate the new volume when the cutout length increases to 3.4 inches.

New volume = Length * Width * Height - Cutout volume

New volume = 10 inches * 6 inches * 4 inches - (3.4 inches * 6 inches * 4 inches)

New volume = 240 cubic inches - 81.6 cubic inches

New volume = 158.4 cubic inches

To find the change in volume, we subtract the initial volume from the new volume:

Change in volume = New volume - Initial volume

Change in volume = 158.4 cubic inches - 220.8 cubic inches

Change in volume = -62.4 cubic inches

Therefore, in this example, the volume of the box decreases by 62.4 cubic inches when the cutout length increases from 0.8 to 3.4 inches.

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The solution to the equation x²y' - xy = x² + 4, x > 0, y(1) is y = xln|x| - (2/x) +2

To find the solution, follow these steps:

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Answer:

go to y= and type in the equation then  press 2nd trace  and then press  2 on the left side of the parabola find a point to the left of the x intercept and press enter then find a point to the right of the x intercept  and press enter. then press enter when it ask you to guess  and you have your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

4+6+7+7+11+12+15+18+20= 100

divide by the number of values we have. we have 9 values

100/9=11.1111111111

I hope this helped

at first add all the number and divide it by how many numbers are there

4+6+7+7+11+12+15+18+20

= 100

now

divide

100÷ 9

11.1

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

Based on the quantity equation, if y = 4,000, p = 3, and v = 4, then

m = $3,000.

The quantity equation states that changes in market price affect money supply. It is evaluated with the equation: MV = PT, where M is the money supply, V is the velocity of money, P is the average price level, and T is the volume of economic transactions.

Using quantity equation

MV = PT

M = PT/V

M = (4000 × 3) / 4

M = 12000/4

M = 3000

Therefore,

Based on the quantity equation, if y = 4,000, p = 3, and v = 4, then

m = $3,000.

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The initial population at time t = 0 was 0.39 while the size of the bacteria population after 4 hours was 6553600

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the bacteria population at time t. a represent the initial population at t = 0. Since the doubling period of a bacteria population is 10 minutes, hence:

\(y=a(2)^\frac{t}{10}\)

At time t = 110 minutes, the bacterial population was 800. Hence:

\(800=a(2)^\frac{110}{10} \\\\a = 0.39\)

At 4 hours (240 minutes):

\(y=0.39(2)^\frac{240}{10} =6553600\)

The initial population at time t = 0 was 0.39 while the size of the bacteria population after 4 hours was 6553600

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Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:540

Step-by-step explanation:

Answer:

540

Step-by-step explanation:

When multiplying two numbers and one is a decimal you multiply both of them by 10 to keep whole number denominators.

\(\frac{324}{0.6}\)

\(10* \frac{324}{0.6}\)

\(\frac{3240}{6}\)

\(\frac{3240}{6} = 540\)

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

(33*3+1 )/3 = 100/3%

Then you need to convert that to decimal by dividing 100

100/300 = 0.3333

which is 1/3 in decimal form

Answer:

utak mo gamitin mo

hwhsuudusjwudjeuejsusjssjjeiiejee

Answer:

X=3

Steps and explanations:

Step-by-step explanation:

The answer is x+1 x-2 x+3

The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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In the Clausius-Clapeyron equation, the variables related to the measured values that would typically be graphed on the x and y axes depend on the specific application.

Generally, the natural logarithm of the vapor pressure (ln P) is plotted on the y-axis, while the reciprocal of the absolute temperature (1/T) is plotted on the x-axis. The slope (m) and y-intercept (b) of the resulting linear graph have specific interpretations in the context of the equation.

The Clausius-Clapeyron equation relates the vapor pressure of a substance to its temperature. It is expressed as ln(P) = -ΔHvap/R * (1/T) + C, where P is the vapor pressure, ΔHvap is the enthalpy of vaporization, R is the gas constant, T is the temperature, and C is a constant. When graphing this equation, we often plot ln(P) on the y-axis and 1/T on the x-axis.

The graph obtained from plotting these variables follows a linear relationship. The slope of the resulting line, denoted as m, is equal to -ΔHvap/R. This slope provides valuable information about the enthalpy of vaporization, which is a measure of the energy required to convert a substance from its liquid phase to its gas phase. The y-intercept, denoted as b, represents the constant C in the equation, which accounts for any initial conditions or deviations from the ideal gas behavior.

By plotting ln(P) against 1/T, we can determine the slope and y-intercept of the linear graph. These parameters have specific physical interpretations and can provide insights into the thermodynamic properties of the substance under investigation. Analyzing the slope and y-intercept values can help in quantifying the enthalpy of vaporization and understanding the behavior of the substance as its temperature changes.

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We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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Answer:

The answer is 11/6! Hope this helped!

Steps:

6/3 + (-1/6)

apply rule --> a + (-b) = a - b

6/3 + (-1/6) = 6/3 - 1/6

= 6/3 - 1/6

6/3 = 2

= 2 - 1/6

2 = 6 x 2 over 6

= 6 x 2 over 6 - 1/6

= 12/6 - 1/6

apply fraction rule --> a/c - b/c = a - b over c

12/6 - 1/6 = 12 - 1 over 6

= 12 - 1 over 6

= 11/6

To convert 123.60' into centesimal system, we need to first convert minutes to decimal degrees.

FORMULA:   \(decimaldegrees= degrees+ \frac{minutes}{60}+\frac{seconds}{3600}\)

Therefore, the angle 123.60' is approximately equal to 136.68 centesimal degrees.

The likelihood that the age when the random sample of 58 men were first married is less than 25.2 years is approximately 0.6075.

We are given that the mean age of men when they marry for the first time follows a normal distribution with a mean (μ) of 24.8 years and a standard deviation (σ) of 2.9 years.

To find the likelihood that the age when they were first married is less than 25.2 years, we need to calculate the corresponding z-score and then find the corresponding probability from the standard normal distribution.

The z-score (z) can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for.

Plugging in the given values, we have:

z = (25.2 - 24.8) / 2.9 ≈ 0.1379

To find the probability associated with this z-score, we can refer to the standard normal distribution table or use a calculator. Looking up the z-value of 0.14 in the table, we find that the probability is approximately 0.5571.

However, since we want the probability of being less than 25.2 years, we need to find the area to the left of the z-score. The probability will be 0.5 (or 50%) plus the probability from the table. Thus, the likelihood is approximately 0.5 + 0.5571 ≈ 0.6075, rounded to four decimal places.

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Answer:

A = 36 m²

Step-by-step explanation:

The area (A) of a kite is calculated as

A = \(\frac{1}{2}\) d₁ d₂ ( d₁, d₂ are the diagonals )

Here d₁ =  4 + 5 = 9 and d₂ = 4 + 4 = 8 , then

A = \(\frac{1}{2}\) × 9 × 8 = \(\frac{1}{2}\) × 72 = 36 m²

The slope is the steepness of a line on a graph and represents the ratio of the vertical change to the horizontal change, the rate of change refers to the amount of change in one variable corresponding to a unit change in another variable.

The slope of a line is a measure of its steepness or incline. It is calculated by dividing the vertical change (change in y-values) by the horizontal change (change in x-values) between two points on the line. The slope indicates how much the dependent variable (y) changes with respect to a unit change in the independent variable (x). In other words, it represents the ratio of the rise (vertical change) to the run (horizontal change) on the graph.

On the other hand, the rate of change is a broader concept that applies to any relationship between two variables, not just linear relationships. It measures how one variable changes in response to a unit change in another variable. The rate of change can be positive, indicating an increase in one variable for every unit increase in the other variable, or negative, indicating a decrease. It can also vary across different intervals of the relationship, indicating that the relationship is not constant.

In summary, the slope specifically refers to the steepness of a line on a graph and is calculated as the ratio of the vertical change to the horizontal change. The rate of change, on the other hand, is a more general concept that describes how one variable changes in response to a unit change in another variable and can be applied to any type of relationship between variables.

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