The total cost to rent 5 chairs and 3 tables is $27. The total cost to rent 2 chairs and 12 tables is $81. What is the cost to rent each chair and each table

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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Answer:

$5.99 per can of gas

Step-by-step explanation:

$23.96 divided by 4 = $5.99

This means that each can of gas is $5.99.

Answer:

$95.84

Step-by-step explanation:

Each can of Fuel is $23.96 and you want to find out How much she payed for 4. So all you have to do is multiply the given cost($23.96) by the amount of fuel cans(4). 23.96 times 4 give you the answer $95.84.

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Answer:

A. There is 1 tablespoon of salt for each cup of water in the mixture.

B. There are 2/5 cups of flour for each cup of water in the mixture.

D. There is 1/2 tablespoon of salt for each cup of flour in the mixture.

Step-by-step explanation:

A. Mentioned in the question.

B. 5 ÷ 5 = 1 cup of water

   2 ÷ 5 = 2/5 cups of flour

D. 2 ÷ 2 = 1 cup of flour

    1 ÷ 2 = 1/2 a cup of water

Let x be the smaller income and y be the bigger income.

So, if both earn together $28,000, then:

If one earns $2000 more than the other, we can say the the bigger minus the smaller is equal to 2000, that is:

Now, we can solve the second equation for y and input it into the first equation:

Thus, the smalle income is $13,000, alternative D.

Answer:

A) y=9x

B) y=45 when x=5

Step-by-step explanation:

Part A

\(y=kx\\-27=k(-3)\\-27=-3k\\9=k\\y=9x\)

Part B

\(y=9(5)\\y=45\)

The set of the bivariate data which is minimized by the line and used to create a least squares regression line is given by :

option B. The sum of all the squared residuals.

To get a set of bivariate data which help us to create a least squares regression line is :

Option A. The sum of the residuals : Here set values are positive and negative so total sum is zero.

Incorrect option.

Option B : Sum of squared residuals represents all the positive values.

By taking square error of the regression line get minimized by the line.

Correct option.

Option C. Absolute value of the residual will not give least squared regression line.

Incorrect option.

Option D. Outlies does not relate with regression line.

Incorrect option.

Option E. Slope will not define least squared value.

Incorrect option.

Therefore, the set of bivariate data representing least squared regression line is given by :

Option B . Sum of the squared residuals.

The above question is incomplete , the complete question is:

A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line

A) the sum of the residuals

B) the sum of the squared residuals

C) the sum of the absolute value of the residuals

D) the influence of outliers

E) the slope

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Answer:

90

Step-by-step explanation:

7x + 3 = 9x - 3 - 2x

7x - 9x + 2x = -3 - 3

0 = -6

equation doesn't have any solution

Answer:

160% of 35 is 56.

Step-by-step explanation:

\(\frac{56}{y} :\frac{160}{100}\)

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

Four straight sides that are aligned and equal in length make up a rectangle, a two-dimensional geometric object. A rectangles has four right-angled angles (90 degrees). A rectangle can be thought of as a quadrilateral with all angles equal to 90 degrees, or as a trapezoid with two pairs of parallel sides. By multiplying the rectangle's length and breadth, the area of the rectangle may be determined. By summing the measurements of all four sides, one may get a rectangle's perimeter. In many commonplace items like window, book covers, and screens, rectangles are frequently used.

given

According to the information provided, the rectangle's base has a 69 cm width.

We also know that the height is equal to the base by two thirds. As a result, the rectangle's height can be determined as follows:

Height equals 2/3 of base height, or 69 cm.

size = 46 cm

Knowing the rectangle's base and height, we can use the following formula to get its perimeter:

P = 2l + 2w

P = 2(69 cm) + 2(46 cm) (46 cm)

P = 230 cm if P = 138 cm plus 92 cm.

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

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The complete question is: - In a rectangle the base measures 69 cm and the height is 2/3 of the base. Calculate the perimeter.[230] Please help with a photo

Answer:

Will's share =   48

Olly's share =  32

Step-by-step explanation:

Will's share : Olly's share = 3:2

Will's share = 3x

Olly's share = 2x

3x + 2x =  £ 80                 {Combine like terms}

     5x   = 80                    {Divide both sides by 5}

      x = 80/5

       x = 16

Will's share = 3x = 3*16 = 48

Olly's share = 2x = 2*16 = 32

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

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Answer:

Step-by-step explanation:

Hello,

This is the equation of a line so if you know two points of the line you can graph it, right?

For x = 0 y = -3 so the point A (0,-3) is on the graph

For x = 3 y =-4 so the point B (3,-4) is on the graph

And then you can draw the line as below

Thanks

Answer:

\(h=\pm 21\)

Step-by-step explanation:

\(h^2=441 \implies h=\pm \sqrt{441}=\pm 21\)

Answer:

Area: 28 square ft

Perimeter: 22 ft

Step-by-step explanation:

To find the area:

A=Lw

A is area, L is length, w is width

A=4*7

A=28

The area is 28 square feet

To find the perimeter:

P=2L+2w

P=2(7)+2(4)

P=14+8

P=22

The perimeter is 22 feet.

Hope this helps!

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

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The number of Jim's model car is 48

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

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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Answer:

25% of the entire purchase

Step-by-step explanation:

18×1.60= 40%=28.8 18+18=36 36×.75=25%=27

Answer:

A.) - 1/5

Step-by-step explanation:

I divided each side by factors that do not contain the variable.

Answer:

It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10

Step-by-step explanation:

In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.

• Take the products of both functions.

f(x)g(x) = 3x²+5 • x-2

• Next, expand the functions. We expand by combining like terms.

= 3x^3 - 6x^2 + 5x - 10

Since the function cannot be simplified further, this leads to option B being our answer.

Hope this helps!

There will be a rise in false positives and a fall in false negatives.This is because the true positives and true negatives are determined by the values of the variables in the logistic regression model.

When the cut-off value is increased, the False Positives will increase, meaning that more observations will be incorrectly classified as positives. The False Negatives will decrease, meaning that fewer observations will be incorrectly classified as negatives. At the same time, the True Positives and True Negatives will remain unchanged, as long as the variables in the fitted logistic regression model remain the same.When the cut-off value is increased, the logistic regression model will be more stringent in its classification of observations. This means that the model will classify more observations as false positives (incorrectly classifying them as positives) and fewer as false negatives (incorrectly classifying them as negatives). On the other hand, the model will not be affected by the change in cut-off value when it comes to true positives and true negatives. This is because the true positives and true negatives are determined by the values of the variables in the logistic regression model, which remain unchanged when the cut-off value is changed.

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The quotient in polynomial form is C. x² - x ₊ 1.

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1  2  -2  3

Using synthetic division method,

-3 | 1  2  -2  3

   |   -3    3  3

   |1   -1    1  6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

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Answer:

$37.50

Step-by-step explanation:

First, create a proportion:

\(\frac{15}{4}\) = \(\frac{x}{10}\)

Then, cross multiply and solve for x:

150 = 4x

37.5 = x

So, 10 pounds of almonds will cost $37.50

The meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

The functions are given as:

So, the interpretation of the function c(p(t)) is

The number of calories burned doing push-ups in t seconds

In c(p(45)), the value of t is 45

Hence, the meaning of the composite function c(p(45)) is the number of calories burned doing push-ups in 45 seconds

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