Ramona is ordering carpet for a room that is 19.5 feet by 41.6 feet. the carpet is $9.50 per square foot. about how many square feet of carpet will ramona need to order to cover the entire room

Answer:  The required value of the variable c is 18 and that of YZ is 72.

Step-by-step explanation:  Given that Y is in between X and Z, where

XY= 11, YZ=4c and XZ=83.

We are to find the value of the variable c and YZ.

Since the point Y is in between X and Z, so we must have

[tex]XY+YZ=XZ\\\\\Rightarrow 11+4c=83\\\\\Rightarrow 4c=83-11\\\\\Rightarrow 4c=72\\\\\Rightarrow c=\dfrac{72}{4}\\\\\Rightarrow c=18.[/tex]

And,

[tex]YZ=4c=4\times 18=72.[/tex]

Thus, the required value of the variable c is 18 and that of YZ is 72.

The given problem is a segment addition problem in geometry. It can be solved by creating an equation based on the Segment Addition Postulate, simplifying and solving it to find the value of the variable c equal to 18. Substituting this value into the equation for YZ gives a result of 72.

The subject of this question is a segment addition problem in geometry. From the given values, we can create an equation based on the Segment Addition Postulate, which states that the length of the whole line segment (XZ in this case) is equal to the sum of the lengths of the two segments it is split into (XY and YZ in this context).

With XZ = 83, XY = 11, and YZ = 4c, the equation becomes XY + YZ = XZ, or 11 + 4c = 83. To solve for the value of the variable c, subtract 11 from both sides, giving 4c = 72. Finally, divide each side by 4 to find that c = 18.

To find the value of YZ, substitute c = 18 back into the YZ equation: YZ = 4c = 4*18 = 72.

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Answer: There are 42 products he can have at maximum.

Step-by-step explanation:

Since we have given that

Number of products displays = 12

Number of shelves six products have = 4

Number of shelves six products have = 3

So, total number of shelves first six products have

[tex]6\times 4=24[/tex]

Total number of shelves next six products have

[tex]6\times 3\\\\=18[/tex]

So, the maximum number of products that he can have is given by

[tex]24+18=42[/tex]

Hence, there are 42 products he can have at maximum.

Neil has approximately 21/30 gallon of paint in total.

To find out how much paint Neil has in total, we need to add up the amounts of paint in each can.

The first can contains 1/3 gallon of paint, the second can contains 1/5 gallon of paint, and the third can contains 1/2 gallon of paint.

To add fractions, we need to find a common denominator. In this case, the common denominator is 30. We can convert the fractions to have a denominator of 30 and then add the numerators:

1/3 gallon + 6/30 gallon + 15/30 gallon = 21/30 gallon.

Therefore, Neil has approximately 21/30 gallon of paint in total.

Final answer:

Neil has a total of 31/30 gallons of white paint when his three cans containing 1/3, 1/5, and 1/2 gallon are added together, which is slightly more than 1 gallon.

Explanation:

Neil has three partially full cans of white paint with quantities of 1/3 gallon, 1/5 gallon, and 1/2 gallon. To find the total amount of white paint Neil has, we simply need to add these fractions together. Adding fractions involves finding a common denominator and then adding the numerators.

In this case, the common denominator for 3, 5, and 2 would be 30, so the fractions would be equivalent to 10/30, 6/30, and 15/30, respectively. Now, we add the numerators:

10/30 + 6/30 + 15/30 = 31/30 gallons

So Neil has 31/30 gallons of white paint in total, which is a little more than 1 gallon when converted from an improper fraction to a mixed number (1 gallon and 1/30 of a gallon).

Answer:

no

Step-by-step explanation:

divide 3 by 4 = 3/4 = 0.75

so Cody jogs 3/4 mile for every 1 mile Vanessa runs

The answer is a.

12x

Value of x is 2, can be determined by algebraic equation.

It’s a equation for of known and not known constant and we have to find the not known constant value .

3(5x+4) - 20 -13x

= - 4 15x + 12 - 20 - 13x

= - 4 2x -8

= - 4 2x

= 8 - 4 2x

= 4 x

= 2

Hence , the value of x will be 2 .

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Answer:

t=4.56

Step-by-step explanation:

t+1.24=5.8

t=4.56

Parallel lines have the same slope, so if we find the slope of the line shown, the slope of the line parallel to it will be the same.

To find the slope, we find the rise divided by the run, or the change in x values divided by the change in y values.

slope = m = (y1 - y2)/(x1 - x2) = (3-2)/(0-3) = 1/(-3) = -1/3

Therefore, the slope is -1/3, and so the slope of the parallel line is also -1/3.

Your answer is -1/3.

Hope this helps!

The two consecutive integers that sum up to 47 are 23 and 24, and their product is 552.

The question involves finding two consecutive integers whose sum is 47 and subsequently determining their product. To solve this, let's denote the smaller integer as n, which means the next consecutive integer will be n + 1. Since the sum is 47, we set up the equation n + (n + 1) = 47.

This simplifies to 2n + 1 = 47. To find the value of n, we subtract 1 from both sides to get 2n = 46, and then divide both sides by 2, yielding n = 23. Therefore, the two consecutive integers are 23 and 24. To find the product of these integers, we multiply them together: 23 imes 24 = 552.

The common ratio for the sequence is 2/3

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

Sequence: 9,6,4

The common ratio for the sequence is calculated using

Ratio = T2/T1

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

Ratio = 6/9

Evaluate

Ratio = 2/3

Hence, the common ratio is 2/3

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Answer:

Value of her investment after 2years is £12,362.7

Step-by-step explanation:

The question is incomplete, here is the complete question.

"Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after two years"

Using the relationship:

A = P(1+r/100)^n

Where P is the principal = amount invested = £12000

r is the compound interest = 1.5%

n is the time = 2years

A is the amount compounded after n years

A = 12000(1+1.5/100)²

A = 12000(1+0.015)²

A = 12000(1.015)²

A = 12000(1.03)

A = 12362.7

Value of her investment after 2years is £12,362.7

The expression v^3 + 27 can be factored as a sum of cubes using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2). In this case, it factors to (v + 3)(v^2 - 3v + 9).

To factor the expression, v^3 + 27, we recognize it as a sum of cubes. The formula for factoring a sum of cubes is:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

In this case, a = v and b = 3 since 27 is 3 cubed (3^3).

Identify the cube roots of each term

Apply the sum of cubes formula:

Substitute the values into the formula:

Hence, we get v^3 + 27 = (v + 3)(v^2 - 3v + 9)

So, v^3 + 27 factors to (v + 3)(v^2 - 3v + 9).

After translating words to numerical form, it is equal to 135.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the value provided in the question,

Product of 15 and another number.

Another number is negative 3 decreased by 12 which means that (12 - 3) = 9

Product in numeric form = 15 × 9 = 135

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