The total cost of buying two potatoes and a half pound of hamburger at the grocery store is $3.00. Lisa buys one potato and two pounds of hamburger and pays $8.50. Find the price for each potato and each pound of hamburger.

doing test rn need help asap

Answer:

The first one , The fifth one and The sixth one

Step-by-step explanation:

Just test if the fractions are proportional

Answer:

it is the last one. the student should have switched the direction of the inequality.

Step-by-step explanation:

we know product of 2 negative is positive

in the given condition -5 < x. which means that x is greater than -5 so the values of x will be -4, -3, -2 and so forth.

but if this the case then if we take -3 for example and put it in the top equation we get 31 < -5x-3 + 6 = 31<21 this is wrong.

but if it is -5>x this means the value of x is -6,-7,-8 and so forth. if we apply this now for example if we take -8 or -10 and put it in 31 < -5 X -10 + 6 we get 31<56 which is correct. I hope you get the logic.

Answer: I am sure that its 60

Step-by-step explanation:

Answer:Answer:

60/11 or 5 5/11

Step-by-step explanation: Change to mixed numbers- 15/2 and 11/8.

multiply 15/2 by reciprocal- 15/2 x 8/11.

simplify-60/11

Answer:

3 miles per hour

Step-by-step explanation:

It is given that Diego and his friends took part in a walk a thon to raise money for cancer research.

From the table, it is given that:

Time took by Diego in hours = 2 hours

Miles walked by Diego in miles = 6 miles

Therefore, Diego is walking with a speed of = \($\frac{6}{2}$\)

                                                                          = 3 miles per hour

Answer:

Vertical line: x = -6

Horizontal line y = -2

Step-by-step explanation:

A vertical line will have a constant x value for all values of y so it will be of the form x = k where k is a constant. Since it passes through (-6,-2), where the x value is -6, we get the equation x = -6

A horizontal line will have a constant y value for all values of x so it will be of the form y = k where k is a constant. Since it passes through (-6,-2), where the y value is -2, we get the equation y = -2

The attached graph shows the two lines and the point (-6, -2)

Answer:

x = 9

Step-by-step explanation:

x−(3)(3=x+−9 )

The three variables in this question are all quantitative. Peak Ground Acceleration (PGA) is a measure of the intensity of the ground shaking that a home experienced in the earthquake, measured in units of acceleration of gravity (g). Damage indicates the amount of damage experienced in the earthquake in New Zealand dollars, and Building Value is the pre-earthquake value of the home in New Zealand dollars.

PGA is a measure of the intensity of the ground shaking caused by an earthquake, as measured in units of acceleration of gravity. Damage is the amount of damage experienced by a home or building as a result of an earthquake, measured in New Zealand dollars. Building Value is the pre-earthquake value of the home or building, also measured in New Zealand dollars.

These variables are all quantitative in nature, meaning that they represent numerical values and can be compared and analyzed mathematically. PGA, Damage, and Building Value all help to provide an understanding of the effects of an earthquake on a home or building. By examining these variables, researchers can better understand the intensity of an earthquake and the resulting damage.

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52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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Answer:

A. 29

Step-by-step explanation:

Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.

~theLocoCoco

The answer that you are looking for is b) 5(a – 2)(a – 4). In order to factor the formula, we must first locate two numbers whose sum is equal to -30 and whose product is equal to 40. Both constraints are met by the values -4 and -10, and as a result, we are able to factor the statement as 5(a – 2)(a – 4).(option b)

The following procedures can be used by us while factoring polynomials:

Find two numbers that, when added together, give you the coefficient of the middle term, and then multiply those two values by themselves to get the constant term.

Create the expression as the product of two binomials, with each binomial having one of the two numbers discovered in step 1. Write the equation as a product of two binomials.

Eliminate any factors that are frequent.

In this particular instance, the coefficient of the intermediate term is -30, while the value of the constant term is 40. When added together, the numbers -4 and -10 equal -30, and when multiplied together, they equal 40. Therefore, the expression can be factored as 5(a minus 2)(a minus 4).

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The vegetable patch has peppers and aubergines in a ratio of 5:3, with a total of 480 vegetables. Increasing the number of peppers by 10% changes the ratio to 11:5 for peppers to aubergines.

The ratio of peppers to aubergines in the vegetable patch is 5:3, and there are 480 vegetables in total. This means that there are 5/8 peppers and 3/8 aubergines. Increasing the number of peppers by

10% gives 5.5/8 peppers and 2.5/8 aubergines.

Simplifying this gives a new ratio of 11:5 for peppers to aubergines.

Therefore, the new ratio of peppers to aubergines in the vegetable patch is 11:5 in its simplest form.

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Answer:90 degrees

Step-by-step explanation:

Angle b is a right angle

Answer: So for helium the equation above gives v= 973 m/s at STP, and 1,020 m/s at 298 K. Since the speed, frequency and length of a sound wave are related by the equation ν = v/λ, the frequency of a sound produced by a resonator of a particular length is proportional to the speed of sound in the particular gas that fills the resonator.  For air at STP (0 °C and 1 atm), γ = 1.40, and v= √((1.40 × 8.314 J/mol·K ×273.16 K)/(2.8967 × 10-2kg/mol)) = 331 m/s.

Step-by-step explanation:                    I think this is right I'm not the best but hope it helps!

To calculate the net present value (NPV) of an investment, we need the expected cash flows and an appropriate discount rate. However, in the given information, we only have the initial cost ($2,775) and the salvage value ($75) after 15 years. We don't have any information about the cash flows in between or the discount rate.

The net present value formula is typically used to evaluate the profitability of an investment by discounting the expected future cash flows to their present value and subtracting the initial cost. Without the necessary information, it is not possible to calculate the NPV in this case.

If you have additional information about the cash flows over the 15-year period or the discount rate, please provide that information so that a more accurate calculation can be performed.

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(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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Answer:

One adult ticket is $16, and one child ticket is $4

Step-by-step explanation:

Let A be the price for an adult ticket

Let C be the price for a child ticket

First write out the equations based on the given information

A = 4C

A + C = 20

Since we know that A is the same as 4C, you can sub in 4C into A + C = 20

4C + C = 20

5C = 20

C = 4

You can now sub in C = 4 into A + C = 20

A + 4 = 20

A = 16

Therefore, an adult ticket costs $16, and one child ticket is $4

The function g(x, y) has three stationary points: (0,0), (−1, 1/2), and (-2,1). The point (0,0) is a stationary point, while the points (−1, 1/2) and (-2,1) are local minima.

To find the stationary points of the function g(x, y), we need to find the values of x and y where the partial derivatives of g with respect to x and y are both equal to zero. Let's start by finding the partial derivative with respect to x:

∂g/∂x = 3x² + 6xy

Setting this equal to zero gives us:

3x² + 6xy = 0

We can factor out 3x:

3x(x + 2y) = 0

This equation gives us two possibilities:

1) 3x = 0

  x = 0

2) x + 2y = 0

  x = -2y

Now, let's find the partial derivative with respect to y:

∂g/∂y = -4y³ + 3x²

Setting this equal to zero gives us:

-4y³ + 3x² = 0

Plugging in the values of x we found earlier, we get:

-4y³ + 3(0)² = 0

-4y³ = 0

y³ = 0

y = 0

Now, let's substitute the values of x and y we found into the original function g(x, y) to determine the types of the stationary points:

1) (0, 0):

  g(0, 0) = (0)³ - 2(0)² - 2(0)⁴ + 3(0)²(0) = 0

  The function evaluates to zero at (0, 0), so it is a stationary point.

2) (-1, 1/2):

  \(g(-1, 1/2) = (-1)^3 - 2(1/2)^2 - 2(1/2)^4 + 3(-1)^2(1/2) = -1 - 1/2 - 1/8 - 3/2 = -8/8 - 4/8 - 1/8 - 12/8 = -25/8\)

  The function evaluates to a negative value at (-1, 1/2), so it is a local minimum.

3) (-2, 1):

\(g(-2, 1) = (-2)^3 - 2(1)^2 - 2(1)^4 + 3(-2)^2(1) = -8 - 2 - 2 - 12 = -24\)

  The function evaluates to a negative value at (-2, 1), so it is a local minimum.

Therefore, the function g(x, y) has three stationary points: (0,0), (−1, 1/2), and (-2,1). The point (0,0) is a stationary point, while the points (−1, 1/2) and (-2,1) are local minima.

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Answer:

51 cm^2

Step-by-step explanation:

the formula for area of an icoselese triangle is
A = b * h / 2
h is a line from the angle where the 5 and 5 intersect to the middle of the third line
You can find h using the pythagoran theorm with the 5 being the hypotenuse and the a being half the third line

4^2 + b^2 = 5^2
16 + b^2 = 25
b = 3, so h = 3, so now
A = 8 * 3 / 2
A = 24 / 2
A = 12 cm^2

now we have the triangle, just multiply that by 2 (top and bottom)
12 * 2 = 24

sides
8 * 1.5 = 12
5 * 1.5 * 2 = 15

now add all of it
15 + 12 + 24 = 51

Answer:

Step-by-step explanation:

g(x) is the translation of the parent function f(x) to left by 1 unit and slightly stretched vertically.

g(x) is:

See attached with both graphs included

Answer:

g(x)=3f(x)

Step-by-step explanation:

the f(x) creates the exact slope of those in the picture because is the parent function of g(x) and by adding the 3 in the front it set the y-intercept to be 3 as such in the picture visual.

-Also if you don't believe me you can always put it in a graphing calculator such as Desmos

The probability of the random variable X being less than 100 is approximately 0.8944 or 89.44%.

Hi! Based on your question, you'd like to compute the probability P(X < 100) for a normally distributed random variable X with a mean of 80 and a standard deviation of 16.

To compute this probability, you can use the standard normal distribution table (Z-table) by first converting the given value (100) to a Z-score using the formula:

Z = (X - μ) / σ

Where X is the value (100), μ is the mean (80), and σ is the standard deviation (16).

Z = (100 - 80) / 16
Z = 20 / 16
Z = 1.25

Now, you can look up the Z-score (1.25) in a standard normal distribution table to find the probability P(X < 100):

P(X < 100) ≈ 0.8944

So, the probability of the random variable X being less than 100 is approximately 0.8944 or 89.44%.

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The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.

Regression analysis is a statistical method that examines the dependence of a response variable on selected explanatory variables.

When studying the dependence between quantities and trying to describe a given functional dependence on a given formula, it is assumed that the dependence consists of a precisely determinable component and a random component. The relationship with this assumption is called the regression model.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

4 %

Step-by-step explanation:

Answer: the first is 7

Step-by-step explanation:

Answer:

$52.31

Step-by-step explanation:

61.72 includes the 18% tip. 61.72 = (100 + 18)% = 118%.

1% = 61.72/118

100% = 100 X (61.72/118 ) = 52.31.

so the original bill was $52.31 (to nearest cent)

Part a: Kinko's income is $280.

Part b: Kinko's optimal consumption will change due to the increased price of leather jackets, but the specific values cannot be determined without further calculations.

To find Kinko's income, we need to determine his budget line based on his current consumption and the price of whips. Kinko is consuming 4 whips and 16 leather jackets, and the price of whips is $6.

The budget line equation is given by: Px * x + Py * y = I, where Px is the price of whips, Py is the price of leather jackets, x is the consumption of whips, y is the consumption of leather jackets, and I is the income.

Since Kinko spends all his money on whips and leather jackets, his income equals the total expenditure on these goods. Thus, the budget line equation becomes: 6x + 16y = I.

We can substitute Kinko's consumption values into the equation: 6 * 4 + 16 * 16 = I.

Simplifying, we have: 24 + 256 = I.

Therefore, Kinko's income is $280.

To visualize this, we can plot Kinko's indifference curves and the budget line on a graph with whips (x) on the horizontal axis and leather jackets (y) on the vertical axis.

The budget line represents all the affordable combinations of whips and leather jackets given Kinko's income and the prices. The indifference curves represent Kinko's preferences, showing the combinations of whips and leather jackets that provide him with the same level of utility.

Part b:

If the price of leather jackets increases by 16 times, the new price of leather jackets becomes $16 * Py = $16 * 1 = $16.

To determine Kinko's optimal consumption, we need to find the new tangency point between an indifference curve and the new budget line. Since Kinko's utility function is non-standard, we need to use calculus to find the optimal consumption bundle.

Using the Lagrange multiplier method, we set up the following optimization problem:

Maximize U(x, y) = min{x½ + y½, x/4 + y}

Subject to the constraint: Px * x + Py * y = I, where Px = $6 and Py = $16.

By solving the optimization problem, we can find the new optimal consumption bundle in terms of whips (x) and leather jackets (y).

However, without the specific values for x and y, it is not possible to provide the exact optimal consumption bundle in one line.

The solution would involve finding the tangency point between the new budget line (with the increased price of leather jackets) and the indifference curves, and determining the corresponding values of x and y.

Therefore, without further information, we can only state that Kinko's optimal consumption will change due to the change in the price of leather jackets, but we cannot provide the specific values without additional calculations.

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first

Semi perimeter (S)=(2+4+3)/2

=9/2=4.5

now

area=

\( \sqrt{4.5(4.5 \times 2)(4.5 \times 4)(4.5 \times 3)} \)

\( \sqrt{s( s- a)( s-b )( s- c)} \)

which is equal to

99.20

Step-by-step explanation:

2x + 18

x = 18÷2

x=9

hence the answer is 9

The three-period weighted moving average for july is 145.4.

A weighted moving average technique is one of several methods for forecasting a given month's value or attribute. Other techniques for forecasting from historical data include the evenly weighted moving average method, a regression analysis method, and so on.

Now, according to the question;

The weighted moving average strategy forecast for month of July is given by:

= (Weight for May * Sales for May) + (Weight for April * Sales for April) + (Weight for June * Sales for June)

= (0.5 * 148) + (0.3 * 142) + (0.2* 144)

= 145.4

Therefore, the three-period weighted moving average for july is 145.4.

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The complete question is -

13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast for period 5?

Period Value

1 - 138 (march)

2 - 142 (april)

3 - 148 (may)

4 - 144 (june)