The Indian currency has notes of ₹5
, ₹10
, ₹20
, ₹50
, and ₹100
. Vicky has ₹300
and Ricky has ₹260
. Both of them have notes of the same denominations.

What denominations of notes can they have? Write in increasing order.

PLEASE PLEASE TRY TO GIVE ME THE ANSWER AS QUICK AS POSSIBLE PLEASE FRIENDS PLEASE!

Answers

Answer 1

The possible denominations of notes that Vicky and Ricky can have, in increasing order, are:

Vicky: ₹50, ₹100

Ricky: ₹10, ₹20, ₹50, ₹100

To determine the possible denominations of notes that Vicky and Ricky can have, we need to find combinations of notes that add up to their respective amounts.

Let's consider Vicky first. With ₹300, the possible combinations of notes are:

3 number of notes of ₹100 (₹100 + ₹100 + ₹100)

1 note of ₹100 and 2 notes of ₹100 (₹100 + ₹100 + ₹100)

two notes of ₹100 and 5 notes of ₹50 (₹100 + ₹100 + ₹50 + ₹50 + ₹50 + ₹50 + ₹50)

Now let's consider Ricky. With ₹260, the possible combinations of notes are:

2 notes of ₹100 and 3 notes of ₹20 taking their sum (₹100 + ₹100 + ₹20 + ₹20 + ₹20)

1 note of ₹100, 3 notes of ₹50, and 1 note of ₹10 (₹100 + ₹50 + ₹50 + ₹50 + ₹10)

2 notes of ₹100, 2 notes of ₹20, and 1 note of ₹10 (₹100 + ₹100 + ₹20 + ₹20 + ₹10)

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Related Questions

Katya has several sources of income, listed in the table. Which are considered earned income? *****Select all that apply.******

$150 she earned from her website's ad revenue

$80 she received from an investment

2% commission on all sales

$250 per month child support

$1300 per month salary

Katya has several sources of income, listed in the table. Which are considered earned income? *****Select

Answers

Answer: $1300 per month salary

2% commission on all sales

The considered income is 2% commission on all sales

$1300 per month salary

What is income?

Income is the money received by a person (individuals or business) periodically on daily, weekly, monthly, or yearly basis. Income includes monetary as well as non-monetary values of allowances and perquisites. All income is taxable under income tax unless expressly exempted.

Income includes

(i) Salary

(ii) Profits and Gains from business and profession

(iii) Dividends

(iv) Voluntary contributions made by trusts, charitable institutions created wholly or partly for charitable or religious purposes

(v) Perquisites

(vi) Special or other allowances

(vii) Any sum paid by the company to the assessee in the form of interest (viii) Capital gains

(ix) Income from other sources.

As per the situation given we have to find the earned income statement.

The statements which are showing the earned income statement is

$1300 per month salary

2% commission on all sales

All the other statement aren't the income statement. These statements are showing money from some other Organization.

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determine whether the given matrix a is diagonalizable where possible find a matrix p such that p-1ap=d

Answers

The given matrix A is diagonalizable, and the matrix P such that P⁻¹AP = D is:

P = [[1, 1],

    [0, 1]

D = [[2, 0],

    [0, 3]]

To determine whether a given matrix is diagonalizable, we need to check if it has a full set of linearly independent eigenvectors. If it does, then it is diagonalizable.
To determine if a matrix is diagonalizable and find the diagonal matrix D:
1. Compute the eigenvalues of matrix A by solving the characteristic equation det(A - λI) = 0, where λ is an eigenvalue and I is the identity matrix.
2. For each eigenvalue λ, find the corresponding eigenvectors by solving the equation (A - λI)X = 0, where X is a vector.
3. If the number of linearly independent eigenvectors is equal to the size of the matrix (i.e., the matrix has n linearly independent eigenvectors), then the matrix A is diagonalizable.
4. Once you have found a set of linearly independent eigenvectors, construct the matrix P using these eigenvectors as columns.
5. Find the inverse of matrix P, denoted as P⁻¹.
6. Compute the diagonal matrix D by using the equation D = P⁻¹AP.
If the matrix A is diagonalizable, then matrix P will be the matrix of eigenvectors, and D will be a diagonal matrix consisting of the corresponding eigenvalues on the diagonal.


Example:
Let's say we have a matrix A:
A = [[2, 1],
    [0, 3]]
1. Compute the eigenvalues:
  The characteristic equation is det(A - λI) = 0:
  |2-λ  1   |
  |0    3-λ |
  Setting this determinant equal to zero, we get:
  (2-λ)(3-λ) - 0 = 0
  Expanding and simplifying, we have:
  λ² - 5λ + 6 = 0
  Factoring, we get:
  (λ - 2)(λ - 3) = 0
  So, the eigenvalues are λ = 2 and λ = 3.

2. Find the eigenvectors:
  For λ = 2, we solve the equation (A - 2I)X = 0:
  |0  1| |x1|   |0|
  |0  1| |x2| = |0|
  Solving this system of equations, we get one eigenvector:
  X1 = [1, 0]
  For λ = 3, we solve the equation (A - 3I)X = 0:
  |-1  1| |x1|   |0|
  |0   0| |x2| = |0|
  Solving this system of equations, we get one eigenvector:
  X2 = [1, 1]
3. Since we have found two linearly independent eigenvectors (X1 and X2) and the matrix A is a 2x2 matrix, it is diagonalizable.
4. Construct matrix P:
  P = [X1, X2] = [[1, 1],
                  [0, 1]]
5. Find the inverse of matrix P:
  P⁻¹ = [[1, -1],
          [0,  1]]
6. Compute the diagonal matrix D:
  D = P⁻¹AP = [[2, 0],
                [0, 3]]
Therefore, the given matrix A is diagonalizable, and the matrix P such that P⁻¹AP = D is:
P = [[1, 1],
    [0, 1]]
D = [[2, 0],
    [0, 3]]

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Which graph represents the function g(x) = 3/(x+2) -4?

Answers

Answer:

x=-2, y=-4

Step-by-step explanation:I took the test on k12

The required graph of the given function g(x) = 3/(x+2) -4 is given in the image attached below,

Given that,
The graph for the function g(x) = 3/(x +2) - 4 is to be determined.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
g(x) = 3/(x+2) - 4
Since the function has an inverse operator as 1 / (x + 2) the graph for the given function shown in the graph,

Thus, the required graph of the given function g(x) = 3/(x+2) -4 is given in the image attached below,

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Which graph represents the function g(x) = 3/(x+2) -4?

Complete the two-column proof by providing a reason for each of the five statements.
(100 POINTS)

Complete the two-column proof by providing a reason for each of the five statements.(100 POINTS)

Answers

Answer:

See below

Step-by-step explanation:

Missing reasons:

1. Given2. Definition of rectangle3. Definition of rectangle4. SAS (side-angle-side) postulate5. Corresponding parts of congruent triangles are congruent
RUTS is a rectangle (Given)RU=ST;UT=RS(Sides of rectangle are equal)<STU and <SRU are right angles(All angles of rectangle is measured 90°)∆URS\(\cong\)∆STU(Side-Angle-Side Congruence)<USR=<SUT(As triangles are same angles remain same

The number of cookies Natalie can bake varies directly with the time she
spends baking. She can make 3 dozen cookies in 0.5 of an hour. How many
dozen cookies can she make in 5 hours?

Please help fast!!

Answers

We already know that 0.5 of an hour, or half of an hour, is 30 minutes. We also know that 3 dozen equals 36. With this information, we can conclude that Natalie can make 72 cookies in one hour. 72 times 5 is 360. 360 divided by 12 is 30, so, Natalie can bake 30 dozen, or 360, cookies in five hours.

the answer would be 10 dozen cookies

determine the most suitable system of coordinates to describe the spherical shell between two concentric spheres centered at (4,1,2). the inner sphere has a radius of 7 and the outer sphere has a radius of 13.

Answers

The spherical coordinate system is the most suitable system of coordinates to describe the spherical shell between two concentric spheres centered at (4,1,2).

A system of coordinates is a set of numbers used to describe the position of a point in space. There are different types of coordinate systems, each with its own advantages and disadvantages.

The spherical shell is the region of space between two spheres with the same center, but different radii. In this case, the center of both spheres is at (4,1,2) and the inner sphere has a radius of 7 while the outer sphere has a radius of 13.

One of the most commonly used coordinate systems for describing spheres is the spherical coordinate system.

To use this system of coordinates to describe the spherical shell, we first need to determine the radial distance for each point in the shell. This distance is between 7 and 13, since the shell lies between the inner and outer spheres.

Therefore, to describe a point in the spherical shell using spherical coordinates, we use the radial distance, polar angle, and azimuthal angle. These coordinates can then be used to plot the spherical shell and understand its geometry and properties.

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She selects 150 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y
^
i

=600+4.93X i

, where Y
^
i

denotes the predicted number of apricots obtained from the I th tree and X i

denotes the number of units of fertilizer used on the I th tree. A. H 0

:β 1

≥5.14 and H 1

:β 1

<5.14. B. H 0

:β 1

>4.93 and H 1

:β 1

≤4.93. C. H 0

:β 1

=5.14 and H 1

:β 1


=5.14. D. H 0

:β 0

=4.93 and H 1

:β 0


=4.93. Suppose the standard error of the estimated slope is 0.74. The t-statistic associated with the test Wendy wishes to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.1

Answers

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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Paul was thinking of a number. Paul adds 10, then divides by 2 to get an answer of -13. What was the original number?

Answers

Answer:

-36

Step-by-step explanation:

-13= n+10/2

-13×2=n+10

-26=n+10

-26-10=n

-36=n

The sum of 9 times a number and 7 is 6

Answers

Given statement solution is :- The value of the number is -1/9.

Let's solve the problem step by step.

Let's assume the number we're looking for is represented by the variable "x".

The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:

9x + 7 = 6

To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:

9x + 7 - 7 = 6 - 7

This simplifies to:

9x = -1

Finally, to solve for "x," we divide both sides of the equation by 9:

9x/9 = -1/9

This simplifies to:

x = -1/9

So, the value of the number is -1/9.

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Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s claim is below.

Jeremiah: The y-intercept is at (15, 0).
Lindsay: The x-intercepts are at (–3, 0) and (5, 0).
Stephen: The vertex is at (–4, –1).
Alexis: The midpoint between the x-intercepts is at (4, 0).

Answers

the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

Which claims are true?

Here we have the quadratic equation:

f(x) = (x + 3)*(x + 5)

The first claim is: "The y-intercept is at (15, 0)."

This is clearly false, as the y-intercept is at x = 0, and in that point we have x = 15.

The second claim is:

"The x-intercepts are at (–3, 0) and (5, 0)"

This is false, in the factored equation we can see that the x-intercepts are x =-3 and x = -5.

Third claim:

"The vertex is at (-4, -1)"

The middle value between the zeros is:

(-3 + (-5))/2 = -4

Evaluating the function in x = -4 we get the y-value of the vertex:

f(-4) = (-4 + 3)*(-4 + 5) = -1*1 = -1

So the vertex is at (-4, -1), this claim is true.

The fourth claim is:

"The midpoint between the x-intercepts is at (4, 0)."

Which is false, we already saw that the midpoint between the x-intercepts is at x = -4

Then the only student that is correct is Stepheh. "The vertex is at (–4, –1)."

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Determine whether the point (-3,-6) is in the solution set of the system of inequalities below
y5/3x+2
A) There isn't enough information given
B) The point (-3,-6) is not in the solution sei.
C)The point (-3-6) is in the solution set.
D) The point (-3,-6) is in the solution set under certain conditions.

Answers

Answer:

A

Step-by-step explanation:

There isnt enough information given.

Hope it helps u

Please mark as the brainliest

The first step in solving 3+7(x-5)=2x+16 is to

Answers

Multiply out the things in the brackets.

3+7(x+5)=2x+16

3+7x+35=2x+16

Bring the x's over to one side and the numbers to the other side.

7x-2x=16-35-3

5x= -22

Kiwihelp pretty much is correct

A rectangular slab on grade is 60 ft 0 in. long × 45 ft 0 in. wide. What is the diagonal measurement in feet and inches?
A. 52 ft 6 in.
B. 75 ft 0 in.
C. 105 ft 8 in.
D. 115 ft 11 in.

Answers

The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

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Determine if each function is linear or nonlinear.

Determine if each function is linear or nonlinear.

Answers

Answer:

Step-by-step explanation:

Both are nonlinear.   Linear means x to the first power

The first equation is x^-1 not x. first equation has an asymptote and is curved.

The second equation has x^4 which will have 3 curves

Can someone explain how they found A to be (-10,10), and also explain how to solve the question?

Can someone explain how they found A to be (-10,10), and also explain how to solve the question?

Answers

The linear equation of the line through A and D is given by:

y = 3.33x + 43.33.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Point A is the (-10,10) because f(-10) = 10, as follows:

y = -0.5 x -10 + 5 = 5 + 5 = 10.

The line through A and D goes through points (-13,0) and (-10,10), hence the slope, which is change in y divided by change in x, is given by:

m = (10 - 0)/(-10 - (-13)) = 10/3 = 3.33.

Then:

y = 3.33x + b.

When x = -13, y = 0, hence we use it to find b.

0 = 3.3333333(-13) + b

b = 43.33.

The equation is:

y = 3.33x + 43.33.

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If I have a right triangle with vertices at (2,1) and (7, 1). Which best describes a possible location for the third point?
a. Any point on the line y=7, except where x=1
b. Any point on line y=1, except where x=1
c. Any point on line x=2, except where y=1
d. It is not a right triangle

Answers

Answer:

c

Step-by-step explanation:

because both vertices have their y set as 1, to make a right triangle, it cannot be b. because they are both on y=1, that means they make a straight line going either at x=2 or x=7, so c is the correct answer

it helps to graph the points for this question if you can

to graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. where do you come up with the values to use in the graph

Answers

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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Marta buys x candles and y books at a store.
• Each candle costs $6, and each book costs $14.
• She spends no more than $65.
• She buys more than 8 items total.
Create two inequalities using x and y to model the situation.

Answers

The two inequalities that models the situation are as follows:

6x + 14y ≤ 65

x + y > 8

How to use inequalities to model a situation?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Marta buys x candles and y books at a store.

Each candle costs $6, and each book costs $14.She spends no more than $65.She buys more than 8 items total

Therefore,

x = number of candlesy = number of books

Hence, the inequalities are as follows:

6x + 14y ≤ 65

x + y > 8

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For each ordered pair (x,y), determine whether it is a solution to the inequality 4x+8y>=-8.

Answers

The ordered pair (-6, 0) is a solution to the inequality 4x + 8y ≥ -8

How to determine whether the ordered pair is a solution to the inequality

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

4x + 8y ≥ -8

The ordered pair is given as

(-6, 0)

This means that

x = -6 and y = 0

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

4 * -6 + 8 * 0 ≥ -8

-24 ≥ -8

This is false

Hence, it is not a solution

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Question

For each ordered pair (x,y), determine whether it is a solution to the inequality 4x+8y>=-8.

(-6, 0)

Help
2х+6y=3
3х - 7у=6

Answers

If 2x + 6y = 3 and 3x -7y =6 then it has to be 6y x 7y =13

Keith went for a hike. He started at sea level and ended the hike at 500 feet above sea level. If it took Keith 5 hours to complete the hike, and he hiked at a consistent pace throughout the trip, how far did he travel each hour? Write your answer as an integer.

Answers

He traveled about 100 feet per hour. I hope this helps!

How many solutions does 6 -3x = 12 - 6x have?

Answers

Solve the equation
6 - 3x = 12 - 6x
Add 6x to both sides
6 + 3x = 12
Subtract 6
3x = 6, x = 2
The equation has one solution

Write the equation of the line that passes through the points (3,1) and (-2,6)

Answers

\(slope = y2 - y1 \div x2 - x1\)

\(6 - 1 \div - 2 - 3\)

\(5 \div - 5 \)

\( - 1\)

\(y = mx + c\)

\(1 = - 1 \times 3 + c\)

\(1 = - 3 + c\)

\(1 + 3 = c\)

\(c = 4\)

\(y = - 1x + 4\)

\(y = - x + 4\)

hewoo can you please help me with this i need it done by 11:00 tank you!! :3

hewoo can you please help me with this i need it done by 11:00 tank you!! :3

Answers

Answer:

  4. See attached

  5.  D. C(8) = 22

Step-by-step explanation:

4. You want the graph of g(x) = -1/3x +5.

5. You want the functional form of the expression telling you the cost of 8 gallons of gas is $22, where C(x) represents the cost of x gallons.

4. Graph

The +5 in the equation g(x) = -1/3x +5 is the y-intercept. It tells you the point y=5 on the y-axis is on the line you want to graph.

The -1/3 in the equation is the slope of the line. This ratio tells you the line drops 1 unit for each 3 units to the right. That is, points (3, 4), (6, 3), (9, 2) will be on the line.

The graph is shown in the attachment.

5. C(x)

The problem statement tells you C(x) is the cost of x gallons. That is, ...

  C(gallons) = dollars

Substituting the given values for gallons (8) and dollars (22), you have ...

  C(8) = 22

hewoo can you please help me with this i need it done by 11:00 tank you!! :3

Help will give crown Find the missing side length

Help will give crown Find the missing side length

Answers

Answer:

11cm

Step-by-step explanation:

Converting Real Life Scale.. -Page 2-
NEED HELP ASAPPP 50 POINTS

(picture is linked belowww)


tysm like fr <33

Converting Real Life Scale.. -Page 2-NEED HELP ASAPPP 50 POINTS(picture is linked belowww)tysm like fr

Answers

The table with the scale measurements is given by the image shown at the end of the answer.

How to obtain the measurements?

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

': feet.'': inches.

For the first table, we have that every inch on the table represents one feet in real life, hence:

2'' on the paper represents 2' in real life.2' on the paper represents 24' in real life. (as one feet = 12 inches, hence 24 inches = 24 feet according to the scale).0.5'' on the paper represents 0.5' in real life.9'' on the paper represents 9' in real life.

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

2'' on the paper represents 4' in real life.2' on the paper represents 48' in real life.0.5'' on the paper represents 1' in real life.9'' on the paper represents 18' in real life.

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Converting Real Life Scale.. -Page 2-NEED HELP ASAPPP 50 POINTS(picture is linked belowww)tysm like fr

A spinner used in a board game is divided into 12 equally sized sectors. Seven of these sectors indicate that the player should move his token forward on the board, three of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board.


The total area of the sectors that do not allow the player to move his token is 45. 1 inches squared.


What is the radius of the spinner?


Enter your answer, rounded to the nearest tenth of an inch, in the box

Answers

Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

What does f(x)= 4% - 2 mean?"​

Answers

Answer:

f(x)= -1.96

f(x) is equaled to 4% - 2

Step-by-step explanation:

Substitute the given value into the function and evaluate it.

A rectangle has perimeter 66 cm and length 27 cm. What is its width?
(help pls it’s my hw)

Answers

Answer:

Step-by-step explanation:

A rectangle has the perimeter of 66cm, and since a rectangle has 2 lengths and 2 widths, we can tell that 2 widths = 66-27*2 = 12

so 1 width is half of 12 which is 6

Help me please I'll give brainliest. And PLEASE put all three answers.

Help me please I'll give brainliest. And PLEASE put all three answers.

Answers

Answer: you have to multiply by ft2 x 250 = the answer is 23.22576 divide by 1.45161 and this is your real answer = 89.16

Step-by-step explanation: you have to do what i told you to do above of me

Answer: 24 - Rectangle 1

Step-by-step explanation:

The two Rectangle 1's are the top and bottom rectangles. To find the area of a rectangle, you have to multiply length x width. You know that the bottom rectangle is identical to the top rectangle, so by solving for the bottom rectangle, we solve for the top!

The length of this rectangle at the bottom is 8, and the width is 3. 8 x 3 = 24. The area of the bottom and top rectangles (1) are 24.

The question wants you to multiply one rectangle with an area of 24 feet squared by 2, because there are two of the same rectangles (top and bottom). 24 x 2 = 42. The total area of the top and bottom rectangles is 42 square feet.

You can do the same with the other rectangles. Using length x width = area, you can then multiply that times two to get the area of two of the same rectangles. Here's one more example from the problem:

The largest rectangle from the rectangular prism is facing the front, the other is facing the back. The length of these two rectangles is 15, the width is 8.

length x width = area
15 x 8 = area

120 square feet = area

Now, multiply that by 2 and you get the area of both of the same rectangles. 240 square feet.

Now we have Rectangle 1 (x2) = 42, and another Rectangle (2 or 3) (x2) = 240. Now, all you have to do is find the area of the rectangle with the length of 15 and the width of three and multiply it by two to find the areas of all the triangles. Then, save all three answers: 42, 240, and the other answer. Then, add 42, 240, and the other answer together to get the Total Surface Area. Good luck!

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