The perimeter of a rectangle is 28cm it’s length is more than 10cm more than it’s widith which equation can be used to find the dimensions

Answer:

$104.51

Step-by-step explanation:

No.of people = 7

How much each person paid = $14.93

How much is the total bill = $14.93 x 7

                                          = $104.51

I was bored so I added the steps lol

Answer:

y = 3x  + b

3x is the slope

y = 3x + 1 because 1 is the y intercept

Step-by-step explanation:

Answer:

y = 3x + 1

Step-by-step explanation:

You know the  y intercept by looking where the line hits the y axis, which is at (0,1), so you know the "b" of the equation is 1. Then, you do rise over run. If you rise 3 and run 1, you get to another point, so I know the slope is 3/1 or 3.

Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

1. Marginal utilities:
To find the marginal utility of x (MUx), we take the partial derivative of the utility function with respect to x. In this case, MUx = (2/3)X^(-1/3)Y^(4/5).
To find the marginal utility of y (MUy), we take the partial derivative of the utility function with respect to y. In this case, MUy = (4/5)X^(2/3)Y^(-1/5).

2. Marginal rate of substitution (MRSxy):
The MRSxy represents the rate at which a consumer is willing to trade one good (x) for another good (y) while maintaining the same level of satisfaction. Mathematically, MRSxy is equal to the ratio of the marginal utilities: MRSxy = MUx/MUy.
Substituting the expressions for MUx and MUy derived earlier, we have MRSxy = [(2/3)X^(-1/3)Y^(4/5)] / [(4/5)X^(2/3)Y^(-1/5)].
Simplifying the expression, we get MRSxy = (5/6) * [(X/Y)^(1/3) * (Y/X)^(1/5)].
Thus, the expression for the marginal rate of substitution (MRSxy) is (5/6) * [(X/Y)^(1/3) * (Y/X)^(1/5)].

3. Indifference curves for perfect substitutes:
When two goods are perfect substitutes, it means that the consumer is equally satisfied with any combination of the two goods, as long as the ratio between them remains constant. In this case, the indifference curves would be straight lines with a constant slope.
For example, if the two goods are apples and oranges, and the consumer is equally satisfied with any combination of these two goods, the indifference curves would be straight lines with a constant slope of -1. This means that the consumer is willing to give up one apple for one orange and vice versa, without any change in satisfaction.

4. Indifference curves for complements:
When two goods are complements, it means that the consumer's satisfaction is maximized when the goods are consumed together in fixed proportions. In this case, the indifference curves would be L-shaped or right angles.
For example, if the two goods are coffee and sugar, and the consumer's satisfaction is maximized when the coffee and sugar are consumed together in a fixed proportion, the indifference curves would be L-shaped. This means that the consumer does not derive any satisfaction from consuming only coffee or only sugar, but rather from consuming them together in the right proportion.

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The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.

To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate

(f(x + h) - f(x)) / h, where h is not equal to 0.

First, let's find f(x + h):

\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)

\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)

\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)

Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:

\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)

= (2hx - 6h + h^2) / h

= 2x - 6 + h

Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.

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Answer:

567000 dollars

Step-by-step explanation:

Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000

Answer:

A is the answer

the test of the options are not the answer

Given |x - 2| <= 4, which of the following equation is C. x - 2 <= 4 && x - 2 >= -4.

The absolute value of (x - 2) represents the distance between x and 2 on the number line. The inequality |x - 2| <= 4 means that the distance between x and 2 is less than or equal to 4.

To solve for x, we can break it down into two inequalities:
1. x - 2 <= 4, which means x <= 6
2. -(x - 2) <= 4, which means -x + 2 <= 4, then -x <= 2, then x >= -2

Combining these two inequalities, we get:
x - 2 <= 4 && x - 2 >= -4

Therefore, the correct answer is C.

When solving an inequality involving absolute value, it's helpful to break it down into two separate inequalities and then combine them. In this case, we found that the correct answer is C.

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The probability that the first student selected is a psychology major and the second student is an art major is 0.057.

Probability for psychology = 4/21

Probability for art major = 6/21

Therefore, the probability that the first student selected is a psychology major and the second student is an art major will be:

= P(Psychology) × P(art)

= 4/21 × 6/20

= 24/420

= 0.057

Therefore, the probability that the first student selected is a psychology major and the second student is an art major is 0.057.

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Answer:

The first number is 4, the second is 3

Step-by-step explanation:

We can make 2 equations, let x be the first number, and y be the second number.

x = 3y - 5

4x - 2y = 10

We sub x = 3y - 5

=> 4(3y - 5) - 2y = 10

=> 12y - 20 - 2y = 10

=> 10y - 20 = 10

=> 10y = 30

=> y = 3

Sub y = 3 into x = 3y - 5

x = 3(3) - 5

x = 4

Therefore, the first number is 4, and the second is 3

Answer: 40 ft

Step-by-step explanation:

I would start this problem out by drawing a picture. There is a building involved, so you will draw a right triangle, since the walls of a building and the ground create a 90 degree angle. Remember, the hypotenuse is the longest side and will be across from the right angle.

Start out by drawing a triangle: the building will be the vertical side, the ground will be the horizontal side, and the ladder will be the hypotenuse.

Label your triangle: from the problem, we know that the ladder is 41 feet long, so we can say the hypotenuse is 41. We also know that the base of ladder is 9 feet away from the building, so we can label the horizontal side as 9. We want to find the height of the ladder on the building, so we can label that side as b.

Use the Pythagorean theorem: remember the Pythagorean theorem is \(a^2+b^2=c^2\), so we can plug in what we know. The hypotenuse is always c, so we can plug in 41 for c. In this problem, we are calling the base a, so we can plug in 9 for a. That leaves you with the equation \(9^2+b^2=41^2\)

Solve: first, square the nine and 41 to get rid of the exponents. That gives us \(81+b^2=1681\). Next, isolate the variable. Subtract 81 from both sides to leave you with \(b^2=1600\). Next, take the square root of both sides. That leaves you with b = 40, which is your answer.

An Easier and Faster Way:

Whenever I get a problem with the hypotenuse and another side, I use the formula \(b=\sqrt{c^2-a^2}\) This allows you to do everything in one step and saves more time.

Answer:

25

Step-by-step explanation:

It would be 25 because 25(5)=125 and 25(6)=50 and anything above that wouldn't equal any of those.

Hope this helps!

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

Sure. Here are the values that you requested:

Future Value: The future value of the investment is $1,388,903.23.

Interest Earned: The total interest earned is $1,263,903.23.

Number of Payments: The total number of payments is 160 (40 years * 4 quarters/year).

Average Balance: The average balance of the account is $432,203.28.

Here is the formula that I used to calculate the future value of the investment:

FV = PV * (1 + r)^n

Where:

FV is the future value

PV is the present value (the initial deposit)

r is the interest rate

n is the number of years

In this case, the present value is $2,500, the interest rate is 2%, and the number of years is 40.

FV = 2500 * (1 + 0.02)^40 = 1388903.23

Here is the formula that I used to calculate the interest earned:

Interest = FV - PV

In this case, the future value is $1,388,903.23 and the present value is $2,500.

Interest = 1388903.23 - 2500 = 1263903.23

Here is the formula that I used to calculate the number of payments:

Number of Payments = Years * Periods/Year

In this case, the number of years is 40 and the number of periods per year is 4.

Number of Payments = 40 * 4 = 160

Here is the formula that I used to calculate the average balance of the account:

Average Balance = (PV + FV)/2

In this case, the present value is $2,500 and the future value is $1,388,903.23.

Average Balance = (2500 + 1388903.23)/2 = 432203.28

Step-by-step explanation:

Answer:

Frankie's weight change since last week was the opposite of Victor's.

Step-by-step explanation:

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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Answer:

C

Step-by-step explanation:

calculate the slope m of the 2 points from the origin and equate, since they lie on the same line

m = \(\frac{y_{2}-y_{1} }{x_{2-x_{1} } }\)

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (2, k )

m = \(\frac{k-0}{2-0}\) = \(\frac{k}{2}\)

repeat with

(x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = k, 32 )

m = \(\frac{32-0}{k-0}\) = \(\frac{32}{k}\)

equating the 2 slopes

\(\frac{k}{2}\) = \(\frac{32}{k}\) ( cross- multiply )

k² = 64 ( take square root of both sides )

k = \(\sqrt{64}\) = 8

The statement "The number of intervals tells you the size of the data set" is not true of histograms. Option A

The number of intervals, or bins, in a histogram is determined by the data and by the preferences of the person creating the graph. A larger number of intervals will result in a graph with more detail, but may also make it harder to see trends or patterns in the data.

The size of the data set is not determined by the number of intervals in a histogram, but by the number of data points that are being represented.

The other statements are true of histograms. An outlier can show as a gap in the data if it falls outside the range of the intervals being used.

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Answer:

x = 2

Step-by-step explanation:

lines parallel to the y-axis are always vertical and begin with 'x ='

Answer:

x=2

Step-by-step explanation:

Hi there!

A line parallel to the y-axis would make it a vertical line. Vertical lines have the equation x=d, where d is the x-intercept (the value of x when y=0).

We also need to know that every point a vertical line passes through has the same x-coordinate. Therefore, because this line passes through the point (2,1), we know that the x-intercept is (2,0).

Therefore, the equation of the line would be x=2.

I hope this helps!

The distance between these two streets on Broad St is 0.3 miles.

We can use proportions to solve the problem.

Let's assume x is the distance between Thomas St and Denny Way on Broad St.

We know that on Aurora Ave, the distance between Thomas St and Denny Way is 0.2 miles, and on Broad St, the distance between Mercer St and Denny Way is 0.7 miles.

So, we can set up the following proportion:

0.2/0.45 = x/0.7

Simplifying, we get:

x = (0.2/0.45) * 0.7

x = 0.3111 miles

Rounded to the nearest tenth, the distance between Thomas St and Denny Way on Broad St is 0.3 miles.

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Answer:

m < 15

Step-by-step explanation:

2m+10 < 40

Subtract 10 from each side

2m+10-10 < 40-10

2m < 30

Divide by 2

2m/2 = < 30/2

m < 15

Answer:

72.27 euros

(54.20 X 4) / 3

Answer:

40%

Step-by-step explanation:

mark branliest

The answer is: The table and equation have the same slope.

we know that:

The formula to calculate the slope between two points is equal to

m=\(y_2-y_1/x_2-x_1\)

We have, A=(4,12) B=(5,15)

Substitute the values,

m=15-12/5-4

m=3

To find the slope of the equation, we have:

y=3x,

the equation represent a linear direct variation.

The slope is equal to m=3.

Therefore, The table and equation have the same slope.

What is a equation?

In mathematics, an equation is a formula that expresses equality by joining two expressions with an equal sign. Equations and their cousins ​​in other languages ​​can have subtly different meanings. For example, in French an equation is defined as containing one or more variables, but in English any formula in its proper form consisting of two equations joined by an equal sign is an equation.

To solve an equation involving variables, it is necessary to determine which values ​​of the variables make the equation true. The variables for which the equation must be solved are also called unknowns, and the values ​​of the unknowns that satisfy the equation are called the solution of the equation. There are two types of equations: identities and constraints. The ID applies to all values ​​of the variable. Constraint expressions apply only to specific values ​​of variables.

Therefore, The answer is: The table and equation have the same slope.

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There are A to E equations. The equation B and D area the equations have 3 as the greatest common factor.

Given that,

There are A to E equations.

We have to find that which equation is having 3 as the greatest common factor.

To check the the greatest common factor we have to multiply by 3.

A. b+3+6c

Divide by 3.

b/3+3/3+6c/3

b/3+1+2c

The equation does not have 3 as the greatest common factor.

B. 27n+66p

Divide by 3

27n/3+66p/3

9n+22p

The equation have 3 as the greatest common factor.

C.38-9j+6k

Divide by 3

38/3-9j/3+6k/3

38/3-3j+2k

The equation does not have 3 as the greatest common factor.

D.12x+75y+21

Divide by 3

12x/3+75y/3+21/3

4x+25y+7

The equation have 3 as the greatest common factor.

E. -32-24z

Divide by 3

-32/3-24z/3

-32/3-8z

The equation does not have 3 as the greatest common factor.

Therefore, The equation B and D area the equations have 3 as the greatest common factor.

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Answer:

y= -116/11

Step-by-step explanation:

5-3y-8y=121

5-11y=121

5-5-11y=121-5

-11y=116

-11y/-11=116/-11

y= -116/11

Your answer is attached above. hope it helps