Shelly pays $22.75 for 3.5 yards of fabric. What is the price per yard of fabric?

Answer:

15

Step-by-step explanation:

miranda - 2x5=10

trudy - 5x5=25

25-10=15

Answer:

11

need more characters

Answer:

2 I guess or what you mean with replace

Step-by-step explanation:

but you replace it you still have the 5 apple so not sure

All the condition for to show whether cost is proportional to area in the situation represented are shown below.

Since, we know that;

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y = kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin.

Now, We can Verify each case;

case 1) Sod that is quoted at a set price per square yard plus a labor fee

The Cost is NOT proportional to Area, because the line don't pass though the origin (the equation has an y-intercept equal to the labor fee)

case 2) Pavers that cost a set amount per square foot

The Cost is Proportional to Area

In this problem the constant of proportionality k is equal to the set amount per square feet

case 3) Hardwood flooring that cost $16 for every 2 square feet

The Cost is Proportional to Area

The constant of proportionality k is equal to

k = y/x

k = 16 / 2

k = 8

The linear equation is,

⇒ y = 8x

case 4) The given graph

Is a line that passes though the origin

So, The Cost is Proportional to Area

case 5) The given table

Find the constant of proportionality k for each ordered pair

If all values of k are the same, then the cost is proportional to area

For x=2, y=3,000

k = 3000/2

k = 1500

For x=4, y=4,000

k = 4000/4

k = 1000

For x=6, y=6,000

k = 6000 / 6

k = 1000

Thus, the values of k are different

Therefore, The Cost is NOT proportional to Area.

case 6) A concrete patio quoted at a bulk cost for 50 square feet

Not enough information.

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We know

D = RT

D is distance

R is rate

T is time

Upstream rate = x - c

Downstream rate = x + c

note: c is rate of current and x is still water rate (x)

In the next 10 years there will be 398 racoons in the state park

The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.

Using the formula

p(t) = p(o) e^ kt

k = 3.5/100 = 0.035

t = 10 years

p(t) = 280 e^ 0.035 ×10

p(t) = 280e^0.35

p(t) = 280 × 1.42

p(t) = 398( nearest whole number)

therefore be after 10 years there will be 398 racoons in the state park.

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The 83 car stereos had a CD player only.

Given that,

348 car stereos were recently sold in a car audio store.

131 had a CD player, 133 had a cassette player, and 48 had both a CD and a cassette player.

Let's denote the number of car stereos having only a CD player as 'x'.

Using the given data, we can write,

Total number of car stereos with CD player = number of car stereos with CD player only + number of car stereos with both CD and cassette players

Now, using the values from the given data, we get:

131 = x + 48

Solving this equation for x, we get:

x = 131 - 48 = 83

Therefore, 83 car stereos had a CD player only.

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Given simultaneous equations:

x - 2y -15 = 0

x - 4y -3 = 0

a)

Rearranging the equation 2.

x - 3 = 4y

x - 4y -3 = 0

x = 4y + 3

b)

x - 2y = 15

substitute x value

4y+3 - 2y = 15

2y + 3 = 15

2y = 15 - 3

2y = 12

divide 2 on both sides

2y/2 = 12/2

y = 12/2

y = 6

y value in x - 2y = 15

x - 2*6 = 15

x - 12 = 15

x = 27.

the values of x and y is 27 and 6.

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(a) The function f(x) is increasing throughout.

(b) The average rate of change is decreasing throughout.

(a) To determine whether the function f(x) is increasing, decreasing, or constant throughout, we observe the values of f(x) as x increases. From the given data, we can see that the values of f(x) are increasing as x increases. For example, f(0) = 0, f(1) = 3, f(2) = 24, and so on. Since the function values are consistently increasing, we can conclude that the function f(x) is increasing throughout.

(b) To calculate the average rate of change between adjacent points, we consider the difference in the function values divided by the difference in the x-values. By calculating the average rate of change for each pair of adjacent points, we can observe the trend.

From the given data, we can calculate the average rate of change between adjacent points as follows:

- Between x=0 and x=1: (f(1) - f(0))/(1 - 0) = (3 - 0)/1 = 3

- Between x=1 and x=2: (f(2) - f(1))/(2 - 1) = (24 - 3)/1 = 21

- Between x=2 and x=3: (f(3) - f(2))/(3 - 2) = (81 - 24)/1 = 57

- Between x=3 and x=4: (f(4) - f(3))/(4 - 3) = (192 - 81)/1 = 111

- Between x=4 and x=5: (f(5) - f(4))/(5 - 4) = (375 - 192)/1 = 183

By examining the calculated average rate of change values, we can see that they are decreasing as x increases. Therefore, we can conclude that the average rate of change is decreasing throughout.

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(3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0, (3, -2) is not a solution to the system of equations  -x - y = -5 and 3x - 4y = 17 and (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

The systems of equations are given as:

1. x - 2y = 7 and 2x + 3y = 0

2. -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

Next, we substitute (3, -2) for (x, y) in the system of equations.

So, we have:

1. x - 2y = 7 and 2x + 3y = 0

3 - 2 * -2 = 7 and 2 * 3 + 3 * -2 = 0

Evaluate

7 = 7 and 0 = 0

The above equation is true

Hence, (3, -2) is a solution to the system of equations x - 2y = 7 and 2x + 3y = 0

2.- x - y = -5 and 3x - 4y = 17

-3 + 2 = -5 and 3 * 3 + 4 * 2 = 17

Evaluate

- 1 = - 5 and 1 7 = 1 7

The above equation is false

Hence, (3, -2) is not a solution to the system of equations  -x - y = -5 and 3x - 4y = 17

3. x + y = 1 and x - y = 6

3 - 2 = 1 and 3 + 2 = 6

Evaluate

1 = 1 and 5 = 6

The above equation is false

Hence, (3, -2) is not a solution to the system of equations x + y = 1 and x - y = 6

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Answer:

B

\(x \geqslant - 0.9\)

Answer:

x is greather or equal to -0.9

Step-by-step explanation:

The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function g(x) is a transformation of the cube root parent function that will be given below.

f(x) = ∛x.

If we subtract h in the variable of the function then the function shifts toward the left by h units.

And if we subtract k in the function then the function shifts downward by k units.

Then the function g(x) will be

g(x) = ∛(x - 4) - 3

Then the correct option is D.

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The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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Answer:

a. Let's call the average ticket price for Dallas in 2005 as "d" and the average ticket price for Boston in 2005 as "b". Then the system of equations can be written as:

y_d = d + 0.53x (where y_d represents the price of an average ticket for Dallas after x years)

y_b = b - 1.08x (where y_b represents the price of an average ticket for Boston after x years)

b. To find the number of years in which the average ticket price for Dallas will approximately equal that of Boston, we need to solve the equation y_d = y_b for x. Plugging in the equations for y_d and y_b, we get:

d + 0.53x = b - 1.08x

Rearranging and solving for x, we have:

1.61x = b - d

x = (b - d) / 1.61

Now we just need to plug in the values for d and b from the table:

d = 53.60

b = 55.93

x = (55.93 - 53.60) / 1.61 = 2.33 years

So it will take approximately 2.33 years for the average ticket price for Dallas to approximately equal that of Boston.

Step-by-step explanation:

Answer: a. Let x be the number of years after 2005, and y be the price of an average ticket. Then, we can write the following system of equations to represent the information in the table:

For Dallas:

y = 53.60 + 0.53x

For Boston:

y = 55.93 - 1.08x

This system of equations represents the average ticket price y for Dallas and Boston as a function of the number of years x after 2005, with the change in price from the 2004 season to the 2005 season given in the table.

b. To find the number of years when the average ticket price for Dallas will approximately equal that of Boston, we can set the two equations equal to each other and solve for x:

53.60 + 0.53x = 55.93 - 1.08x

2.33x = 2.33

x = 1

So, the average ticket price for Dallas and Boston will approximately equal each other after 1 year. Therefore, in 2006, the average ticket price for Dallas will approximately equal that of Boston.

Step-by-step explanation:

The slope of the given function of taxi fare mean  the rate of change of the cost of the taxi ride is $3.00 per minute..

In the situation y = mx + c the worth of m is known as the slant, (or angle), of the line. It very well may be positive, negative or zero. Lines with a positive inclination slant upwards, from left to right. Lines with a negative inclination slant downwards from left to right. Lines with a zero inclination are level.

C(x) = 3x + 2

On comparing with the general equation of line. we get

slope = 3  

slope = cost/time

Which says the rate of change of the cost of the taxi ride is $3.00 per minute.

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Answer:

4x + 5

Step-by-step explanation:

15x + 7  + (-11x - 2)

15x + 7 -11x - 2

4x + 7 -2

4x + 5

Answer:

4x + 5

Step-by-step explanation:

15x + 7 - 11x -2

combind like terms and simplify

Answer:

5/2

Step-by-step explanation:

Tammy has 4 songs

For each of the songs, the time spent is 5/8 minutes

Therefore the total time spent ca be calculated as follows

= 4 × 5/8

= 20/8

= 5/2

Hence the total time spent is 5/2

Answer: 2.5

Step-by-step explanation: 4* 5/8 = 20/8 20/8= 2 4/8  2 4/8 = 2 1/2

2 1/2= 2.5

The given equation is

We multiply 8 by each term in the bracket on the right side

Then we used the distributive property

The answer is D

Answer:

a. True

Step-by-step explanation:

a. True

A cost that changes in total as output changes is indeed a variable cost. Variable costs are expenses that vary in direct proportion to the level of production or business activity. As output increases, variable costs increase, and as output decreases, variable costs decrease. Examples of variable costs include direct labor, raw materials, and sales commissions.

Answer: √ 52

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

in order to find the mean you have find the sum of the numbers and divide them by the amount of numbers.without 68 the sum is 310 divide it by 5 and tge answer is 62.however if you add 68 the sum is 378 divide it by 6 and the answer is 63.

therefore the answer increased by 1.

hope this helps :)

The net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.

NPV is a method used to determine the present value of cash flows that occur at different times.

The net present value (NPV) calculation considers both the inflows and outflows of cash in each year of the project. The NPV is then calculated by discounting each year's cash flows back to their present value using a discount rate that reflects the firm's cost of capital or opportunity cost.

A 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year has a total cash inflow of $50,000 ($2,000 × 25).

Summary: Thus, the net present value (NPV) for a 25-year project with an initial investment of $5,000 and a cash inflow of $2,000 per year, assuming that the firm has an opportunity cost of 15%, is $9,474.23.

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Answer:

Draw it on a graph sheet

The equations 2.3p - 101 = 6.49p -4 and 23p - 101 = 65p - 40 - p are the equation that has the same solution:

The given equation is:

2.3p - 10.1 = 6.5p - 4 - 0.1p

The first option is:

2.3p - 10.1 = 6.4p - 4

which is equal to the given equation.

The second option:

230p - 1010 = 650p - 400 - p

which is not equal to the given equation

The third option:

23p - 101 = 65p - 40 - p

which is equal to the given option.

The last option:

2.3p - 14.1 = 6.4p -4

which is not equal to the given option.

Therefore equations 2.3p - 10.1 = 6.4p - 4 and 23p - 101 = 65p - 40 -p are the correct option.

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Answer:

- 3 ( 2x+1 ) 20

8x+5

_____________

8x+5×20 -3 ( 2×12.5+1 )

8×=100 -3 ( 25+1 )

100÷8= 12.5 -3 ( 26 )

×= 12.5

-3 ( 26 )

-3×2 + -3×6 = -6+ -18 = -24

-24

Answer: $253

Step-by-step explanation:At the end of 5 years, your savings will have grown to $1,003.

You will have earned in $253 in interest.

Answer:

It is not a function because as seen through the mapping diagram, 14 is paired with more than one output. Hence, it is not a function because a function occurs when an input is paired with one, and only one output.

Step-by-step explanation:

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