The perimeter of a rectangle is to be no greater than 100 centimeters and the length must be 35 centimeters. Find the maximum width of the rectangle.
The rest of the problem that is needed to be solved is in the image.

The required simplified value of the given expression is  6 / 35m² - 1/4. Option C is correct.

To determine the simplified value of the negative three-fifths times m times quantity negative two-sevenths times m minus one-fourth end quantity.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
negative three-fifths times m times quantity negative two-sevenths times m minus one-fourth can be interpreted as,
= -3/5m *  - 2/7m - 1/4
= 6 / 35m² - 1/4

Thus, the required simplified value of the given expression is  6 / 35m² - 1/4. Option C is correct.

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The second pair represent a unit rate. And the graph is shown.

An ordered pair is a pair made up of two parts that are written inside parantheses and are separated by commas. For instance, the ordered pair (x, y) denotes an ordered pair where "x" is the first member and "y" is the second element. These elements, which can either be variables or constants depending on the context in which they are used, have distinct names.

In an ordered pair, the element order is somewhat significant. It implies that (x, y) may not always be equivalent to (y, x).

When describing a point's location on the coordinate plane with respect to the origin, a coordinate geometry ordered pair is employed.

Hence the graph is attached and the second pair represents the unit rate.

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3.0 CUBIC YARDS I WILL NEED TO ORDER TO PUT A 2 INCH THICK LAYER OF TOPSOIL

As a result, the problem gives you the volume of the space you are trying to fill with soil ( 20ft by 24ft by 2 in). Let's measure everything in feet first, and then we can measure the volume in yards. You may acquire a volume of approximately (rounding to two decimal places)80.00  cubic feet by converting 2 inches to feet, or 2/12. Then, to obtain your volume, multiply that by 20 times 24. Since there are 3 feet in 1 yard, we divide this volume in yards by 3, giving us 3.0 cubic yards. You will need 3.0 cubic yards if the business only sells in 1/4 cubic yard increments.

V = (20')(24')(2'/12)

V = 80f[tex]t^{3}[/tex]

1 [tex]yd^{3}[/tex] = 27 [tex]ft3[/tex]

80[tex]ft3[/tex] / 27[tex]ft3[/tex] ≈ 3.0

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The step by step formula for figuring out a home mortgage is given by the equation: M = P [ i (1 + i )ⁿ ] / [ (1 + i )ⁿ - 1]

A standard mortgage payment means paying back your loan amount and any interest that the bank stated at the time of giving the loan.

It can also include taxes and insurance with your monthly mortgage rate, but this can be calculated separately.

The equation takes into account your total loan payment with the monthly interest rate and the length of time you have to pay off your loan that is the time period. It gives you a fixed monthly mortgage rate.

Therefore, the step by step formula for figuring out a home mortgage is given by the equation: M = P [ i (1 + i )ⁿ ] / [ (1 + i )ⁿ - 1]

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Answer:

3/10

Step-by-step explanation:

it is really simple just do 1/10+1/10+1/10=3/10

Answer:

Step-by-step explanation: you have to tell us how much money was made in order to find out how many of each

Answer: -12x+8y

Step-by-step explanation:

Based on the given conditions, formulate: (-9x+3y)+(-3x+5y)

Determine the sign: -9x+3y-3x+5Y

Combine like terms: -12x+8y

Option D. From the question that we have here, we would have it that neither option A or option B would help the Green in order to meet up with the plan that they have.

The house they want to put an addition on is in 18 months. The amount to be saved is $10620, the total amount saved after a year = 6120

Remember that a year has 12 months, if they are only able to save the above in a year, then in 12 months they cannot meet with the saving target.

Increasing saving by 120 for 18 months = 120 x 18= $2160

This is still below the target.

Hence we would conclude by saying that Neither option A nor option B will allow them to meet their goal.

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Answer:

That means you would only be able to fit 11 cases since 8 × 11 = 88. Any more cases would exceed 90 items.

Step-by-step explanation:

answer:

[tex] \frac{6}{5} [/tex]

Answer:  2

Step-by-step explanation:

[tex]\sqrt{\frac{36}{9} }[/tex]=

[tex]\frac{\sqrt{36}}{\sqrt{9}}[/tex]=

6/3=2

The answer is 2. I have no explanation because I searched it up at a website.

The numbers that can divide 648 evenly, using the divisibility tests, include 1, 2, 3, 4, 6, 8, 9, 12, and 18 and some multiples of any two numbers.

A divisibility test is performed to identify whether a number can be divided evenly by a fixed divisor without a remainder and without actually performing the division process.

Divisibility by 1: Every number is divisible by 1 = 648 (648/1).

Divisibility by 2: 648 is an even number and divisible by 2 = 324.

Divisibility by 3: Sum the digits (18). 18 is divisible by 3 = 6 (18/3).

Divisibility by 4: The last two digits (4 and 8) form a number (12) that is divisible by 4

Divisibility by 6:  It is divisible by 2 and by 3

Divisibility by 8: If the hundreds digit is even, the number formed by the last two digits must be divisible by 8.

Divisibility by 9: Sum the digits (18). 18 is divisible by 9

Divisibility by 12: 648 is divisible by 3 and by 4.

Divisibility by 18: 648 is divisible by 2 and by 9.

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Hilary's first installment is $80

What is linear equation in one variable?

Let x be any variable then ax + b = c  b is an linear equation in one variable

where a, b, c are constants  then we get solution for x as

x=(b-c)/a

Given that Hilary has bought a television on a twelve month installment plan let the installments be x₁, x₂, x₃, x₄,.......... , x₁₂

given x₁ = x₂ = x₃ = 2x₄=2x₅=2x₆=2x₇=2x₈=2x₉=2x₁₀=2x₁₁=2x₁₂

x₄=x₁/2=x₆=x₇=x₈=x₉=x₁₀=x₁₁=x₁₂

and x₁+x₂+x₃+x₄+.......+x₁₂= $600

Then we have got an linear equation in

x₁,

3x₁+9(x₁/2)=600

(6x₁+9x₁)/2=600

15x₁=1200

x₁=$80

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smaller number = y

larger number = x

x - y = 69

4y = x + 3

you can solve this using substitution

x = 69 + y

(isolating one of the variables)

4y = 69 + y + 3

(substituting 69 + y for x into the other equation)

4y = 72 + y

3y = 72

y = 24

(simplify)

x - 24 = 69

x = 93

(substituting 24 into one of the original equations)

The solution of the given inequality |x - 7| + 8 < 11 is  4 < x < 10.

In mathematics, an inequality is an interaction between two expressions as well as values which are not equitable to each other. Inequality results from a lack of balance.

As per the given relation;

|x - 7| + 8 < 11

Subtract both side by -8.

|x - 7| + 8 - 8 < 11 - 8

|x - 7|  < 3

Removing modulus will give the relation as;

- 3 < x - 7 < 3

Add 7 on both side.

- 3 + 7 < x - 7 + 7 < 3 + 7

4 < x < 10

Thus, the solution of the x lied between 4 and 10 with the condition that;

4 < x < 10.

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Answer:

172.63

Step-by-step explanation:

First let's write the problem as an expression

56.6% * 305

Let's convert 56.6 to a decimal

0.566% * 305

Now finish by multiplying

0.566% * 305
172.63

The number which represents the situation of a withdrawal of $36 is -$36.

In this question, we have to find out the number or integer which represents the situation of a withdrawal of $36. This question is from integers topic and for that we should have the definition of integers in our mind. So, an integer is defined as number which can be represented without the fractional form. It contains whole numbers and negative of natural numbers. The integers are generally denoted by the symbol 'Ζ'. And, the integers can be negative or positive.

In this question we have asked withdrawal of $36 from any source. So, withdrawal basically means money will decrease, so it will become negative.

To represent a withdrawal of $36, we will use the negative sign.

Hence, -$36 is the correct representation of the situation of a withdrawal of $36.

Therefore, -$36 is the required answer.

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=================================================

Reason:

Divide each term by its previous term

12/36 = 1/3

4/12 = 1/3

We get the same result each time, and that result is the common ratio. It says to multiply each term by 1/3 to get the next term

36*(1/3) = 12

12*(1/3) = 4

Answer:  R=PV/nT

Step-by-step explanation:

PV=nRT

divide both sides by nT

PV/nT =nRT/nT

R=PV/nT

i hope this was helpful

The given equation solved for R has R=PV/nT.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is PV=nRT.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, R=PV/nT

Therefore, the given equation solved for R has R=PV/nT.

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A number between 67 and 113 which is a multiple 4, 6 and 9 is 108

In this question, Greg must choose a number between 67 and 113 that is a multiple 4, 6 and 9.

We need to find the numbers which follow above conditions.

First we find the numbers between 67 and 113 that is a multiple 4.

68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112

the numbers between 67 and 113 that is a multiple 6 are:

72, 78, 84, 90, 96, 102, 108

the numbers between 67 and 113 that is a multiple 9 are:

72, 81, 90, 99, 108

We can observe that a common number between 67 and 113 which is a multiple 4, 6 and 9 is 108

Therefore, a number between 67 and 113 which is a multiple 4, 6 and 9 is 108

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Answer: 11

Step-by-step explanation:

area = 121 pi  = pi r^2      Divide both sides by pi

            121 = r^2

               r= 11

Answer:

4

Step-by-step explanation:

First let's begin at the top of the fraction, 18+6

18+6
24

Now let's look at the bottom of the fraction, 3*2

3*2
6

We now have 24/6, so we will simplify the fraction to get our answer by dividing 24 by 6

24/6
4

Answer:

i also can't at all

Step-by-step explanation:

This is hard for me

283,000 newspaper copies will be distributed among the 13 cities evenly.

Out of the four basic mathematical operations, division is frequently regarded as the most challenging. Once we fully comprehend the procedure and guidelines, we can use a calculator without error to perform increasingly challenging calculations.

We can divide or "share" numbers using division to arrive at an answer. Take 10 ÷  2 as an example. How would we arrive at the solution? (ten divided by two). This is equivalent to "sharing" 10 candies between 2 kids. The total quantity of candies that each child receives must be the same. The solution in this instance is 5.

No. of newspaper circulated a day = 3,679,000

No. of cities to be distributes among = 13

No. of newspaper a city will receive = 3,679,000/ 13

                                                            = 283,000

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Answer: The location of P is -9

Step-by-step explanation:

The two inequalities that can be used to find the solution are x-1 < 3 and x-1 > -3.

The given inequality is 3 + 2|x-1| < 9.

The absolute value |x-1| can be (x-1) or -(x-1).

We need to solve this inequality for this two cases.

So first if |x-1| = (x-1), then,

3 + 2|x-1| < 9

⇒ 3 + 2(x-1) < 9

⇒ 2(x-1) < 6

⇒ x-1 < 3

⇒ x < 4 is the solution.

Now if |x-1| = -(x-1), then,

3 + 2|x-1| < 9

⇒ 3 - 2(x-1) < 9

⇒ -2(x-1) < 6

⇒ -(x-1) < 3  

⇒ x-1 > -3  [When multiplied with (-1), the inequality reverses]

⇒ x > -2 is the solution.

Going through these steps, we can conclude that the two inequalities that can be used to find the solution to the absolute value inequality,

3 + 2|x-1| < 9 are x-1 < 3 and x-1 > -3.

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An example of a function is: The area of a square is a always a function of the length and width.

A counterexample of the function is: The area of a square is a function of the diagonal.

This a term used in mathematics to represent a mathematical relations. This is usually of three parts: the inputs, the output, and the relationship between them.

In the example the sides of the square is the input, the area is the output while the formula is the relationship.

Counter example is used to show a flaw in a mathematical statement where the conclusion is not in agreement with the statement.

In the given example providing a method of calculating area of squares using the diagonals counters the initial statement that has it that area of a square is a always a function of the length and width.

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