pls help .....................

Answer:

15/6 = 20/8 = 25 / 10

Step-by-step explanation:

Answer/Step-by-step explanation:

 5      10       15      20    25  (the numerator goes up by 5 every time)

----- = ----- = ----- = ----- = -----

 2       4        6       8      10  (the denominator does up by 2 every time)

I hope this helps!

We can conclude after answering the provided question that As a result, variable the two equality statements are: x+y=4644x+6y= 2278

A variable is something that can be altered in the context of a mathematical concept or experiment. Variables are frequently denoted by a single symbol. The characters x, y, and z are frequently used as generic variables symbols. Variables are characteristics with a wide range of values that can be examined. Size, age, money, where you were born, academic status, and type of housing are just a few examples. Variables can be classified into two major groups using both numerical and categorical methods.

Let's use variables "x" and "y" to represent the number of student and adult tickets sold.

Statement 1: "Marc sold 464 school play tickets."

This means that 464 tickets were sold in total:

x + y = 464

Statement 2: "Marc's total sales were $2278."

This equates to a total revenue of $2278 from ticket sales:

4x + 6y = 2278

As a result, the two equality statements are:

x+y=4644x+6y= 2278

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Answer:

8b

Step-by-step explanation:

You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:

\(\displaystyle{16b-8b=\left(16-8\right)b}\)

Then evaluate and simplify:

\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)

Answer:

x = -2  ||   y = -3

Step-by-step explanation:

5x - 2y = -4

x + 2y = -8

--------------------------------------------

5x - 2y = -4

5x = -4 + 2y

x = (-4 + 2y)/5

x + 2y = -8

x = -8 - 2y

Solving simultaneously:

-8 - 2y  =   (-4 + 2y)/5

5(-8 - 2y) = -4 + 2y

-40 - 10y = -4 + 2y

-40 + 4 = 2y + 10y

-36 = 12y

y = -3

if y is -3 then x is:

x = -8 - 2y

x = -8 - 2(-3)

x = -2

Answer:

16

Step-by-step explanation:

x= 9

x×2=2x

9×2=18

18-2= 16

The rate of the water being pumped into the tank is 289,753 cm3/min

d = 4m

∴ r = 2m

h = 6m

Therefore r = h/3

The formula for the volume of the cone is:

V=(1/3)π•r2h

substitute:

V=(1/3)π (h/3)2h

V=(1/27)π h3

Derive both sides with respect to time:

dV/dt = (1/9) π h2• dh/dt

When h= 2 meters = 200 cm when dh/dt = 20

dV/dt = (1/9) π (200)2• (20)

dV/dt = (800,000/9) π ~ 279,252.68

Meaning the volume of water is increasing at a rate of 279,252.68 cm3/min.

However, it's leaking out at a rate of 10,500 cm3/min. Therefore the rate of the water being pumped into the tank is:

279,252.68 + 10,500 = 289,752.68 ~ 289,753 cm3/min

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The earnings for the pay period are $684.

Given that,

Now based on the above information, the earnings for a pay period is

= 6.5% of $6,427 + 32.25 hours × $8.25

= $418 + $266

= $684

Therefore we can conclude that the earnings for the pay period are $684.

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Answer:

25pi

Step-by-step explanation:

This mulch would cover the circular area, and not just placed on the outside. Therefore: it's area. Now, to calculate how much you'd need

Area of a circle is Pi*r^2

Multiply r (the radius) by itself to get 25, then multiply pi. Since 25pi looks like a simpler answer than 78.5398163, that's what I'd stick with for the answer, unless they say otherwise...

In conclusion the temperature range for bituminous material is between 93.3°C and 126.7°C, the temperature range for the water solution is between 18.3°C and 37.8°C, the temperature range for the mixing gel is between 71.1°C and 98.9°C.

How to solve?

To convert temperatures from Fahrenheit (°F) to Celsius (°C), we can use the following formula:

°C = (°F - 32) × 5/9

A) Bituminous material must be between 200°F and 260°F.

To convert these temperatures to Celsius, we can use the formula:

The lower limit of 200°F is (200 - 32) × 5/9 = 93.3°C.

The upper limit of 260°F is (260 - 32) × 5/9 = 126.7°C.

Therefore, the temperature range for bituminous material is between 93.3°C and 126.7°C.

B) Water solution must be between 65°F and 100°F.

To convert these temperatures to Celsius, we can use the formula:

The lower limit of 65°F is (65 - 32) × 5/9 = 18.3°C.

The upper limit of 100°F is (100 - 32) × 5/9 = 37.8°C.

Therefore, the temperature range for the water solution is between 18.3°C and 37.8°C.

C) The mixing gel must be between 160°F and 210°F.

To convert these temperatures to Celsius, we can use the formula:

The lower limit of 160°F is (160 - 32) × 5/9 = 71.1°C.

The upper limit of 210°F is (210 - 32) × 5/9 = 98.9°C.

Therefore, the temperature range for the mixing gel is between 71.1°C and 98.9°C.

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The normal price of the car on the basis that the sale price of the car was £7500 is £10,000.

The fact that the normal prices are reduced by 25% means that the actual price paid eventually is 75%, which is 100% minus discount of 25%, hence, the actual price of £7500 paid eventually represents 75% of normal price

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The golden ratio between quantities 'a' and 'b' can be represented algebraically as (a+b)/a = a/b = Φ. Geometrically, it is illustrated through the construction of a golden rectangle with sides in this ratio.

The golden ratio is a mathematical constant denoted by the Greek letter phi (Φ) and is approximately equal to 1.618. It is often represented algebraically as (a+b)/a = a/b = Φ.

To illustrate the relationship geometrically, we can use a geometric construction known as the golden rectangle. A golden rectangle is a rectangle that has the property that the ratio of its longer side to its shorter side is equal to the golden ratio.

Here's how we can construct a golden rectangle:

Start with a rectangle ABCD where AB is the longer side and BC is the shorter side.

Divide the longer side AB into two segments, AC and CB, such that the ratio of AB to AC is equal to the golden ratio (Φ). This means that AB/AC = Φ.

Draw a line segment DE parallel to AD and BC, where D is the intersection point of AC and DE.

Complete the rectangle DEFG by drawing lines through points E, F, and G parallel to AB and CD.

Now, we have a golden rectangle DEFG. The longer side EF is equal to AB, and the shorter side EG is equal to BC. The ratio of EF to EG is equal to the golden ratio (Φ). Geometrically, this illustrates the relationship between the two quantities (a and b) in the golden ratio.

It's worth noting that the golden ratio is found in various aspects of art, architecture, and nature. It is considered aesthetically pleasing and has been used in design principles to create visually harmonious compositions.

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Explanation:

If x > 2, then x-2 > 0 after subtracting 2 from both sides.

Since x-2 is always positive when x > 2, this means the absolute value bars around the x-2 aren't needed. The results of |x-2| and x-2 are perfectly identical.

For example, if we tried something like x = 5, then

Both outcomes are 3. I'll let you try other x inputs.

So because |x-2| and x-2 are identical, this means |x-2| = x-2 for all x > 2.

In short, we just erase the absolute value bars.

The given expression ((y-b)²/(y-b+1)+(y-b)/(y-b+1) after being reduced to a polynomial, can be represented as y-b.

In order to reduce the given equation to a polynomial, we are required to simplify and combine like terms. First, we can simplify the expression in the numerator by expanding the square:

((y-b)²/(y-b+1) = (y-b)(y-b)/(y-b+1) = (y-b)²/(y-b+1)

Now, we can combine the two terms in the equation by finding a common denominator:

(y-b)²/(y-b+1) + (y-b)/(y-b+1) = [(y-b)² + (y-b)]/(y-b+1)

Next, we can combine the terms in the numerator by factoring out (y-b):

[(y-b)² + (y-b)]/(y-b+1) = (y-b)(y-b+1)/(y-b+1)

Finally, we can cancel out the common factor of (y-b+1) in the numerator and denominator to get the polynomial:

(y-b)(y-b+1)/(y-b+1) = y-b

Therefore, the equation ((y-b)²)/(y-b+1)+(y-b)/(y-b+1)  after being simplified, is equivalent to the polynomial y-b.

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Answer:

Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

Answer:

A

Step-by-step explanation:

The zeros are the roots or x-intercepts

They are located at coordinate points (0, 0) and (6, 0)

This means the answer is A

Hope it makes sense!

Answer:

A. x = 0 and x = 6

Step-by-step explanation:

So, the zeroes of a quadratic are the parts of it that touch the x-axis. When you find those parts, take their x value and you will get the zero.

So, in this parabola, it touches the x-axis at (0, 0) and (6, 0).

The x-values of these are 0 and 6, respectively.

Answer:

2x - 1

Step-by-step explanation:

Simplify. Note that you cannot combine a term with a variable with a constant term. Divide 5 from both terms in the parenthesis:

1/5(10x - 5) = (10x - 5)/5

Divide 5 from both terms in the parenthesis:

10x/5 = 2x

-5/5 = -1

2x - 1 is your answer.

~

Answer:

1/5 (10x - 5)

\(taking common \: 5 \: from (10x - 5) \\ 1 \div 5 \times 5(2x - 1)\)

2x-1 is your answer

Answer:

C.

t = v-u/a

is the Answer.

Based on the number of pages read and the time it was read in, the number of pages read per day was 44 pages.

Marion read 616 pages and did this in 14 days.

She read the same number of pages each day so the number of pages read per day was:

= Number of pages read in total / Number of days

= 616 / 14

= 44 pages

In conclusion, she read 44 pages per day.

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Answer:

Math Expert Answer

Step-by-step explanation:

So toms equation is y= 4x + 6 and addisons equation is y=10x so they will meet eachother in 1 hour. You can use a desmos calculator to input the equations for the answer

Answer:

1 hour

Step-by-step explanation:

Let's set up an equation for Tom's and Addison's distances: T(x) = 4x + 6, A(x) = 10x, where x is the amount of time since Addison started (in hours).

We solve for A(x) = T(x) and get:

10x = 4x + 6 → subtract 4x from both sides

6x = 6 → divide both sides by 6

x = 1

Therefore, it took Addison 1 hour to catch up with Tom

Answer:

what........???????............

The sum of the sequence \((-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}\) is 1

Consider given sequence \((-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}\)

here, the dots . . . means that there are 21 numbers being added, one for each integer from −10 to 10.

We need to find the sum.

We can observe that the above sequence is a geometric sequence with the common ratio r = -1 and the first term a1 = \((-1)^{-10}\) i.e., a1 = 1

We know that the formula of the sum of n-terms of a geometric sequence is:

\(S_n= a_1 \times (\frac{1-r^n}{1 -r} )\)

For n = 21, r = -1 and a1 = 1

\(S_{21}=1 \times (\frac{1-(-1)^{21}}{1-(-1)} )\\\\S_{21 }= 1\times (\frac{1-(-1)}{1 +1} )\\\\S_{21 }=\frac{1+1}{2} \\\\S_{21 }= \frac{2}{2} \\\\S_{21 }= 1\)

Therefore, \((-1)^{-10} +(-1)^{-9} +(-1)^{-8} +\cdots+ (-1)^9+ (-1)^{10}\) = 1

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Answer:

1:none

2:c

3:b

4:a

Step-by-step explanation:

Answer:

A=4    B=3   C= 2  and 1 is none

Step-by-step explanation:

Just look at each shape and imagine or draw out how it would look unfolded.

Table A represents a function, but Table B does not represent a function.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

A function or mapping is described as a collection of pairs of x and y that are ordered such that given different values of x, there will also be different values of y, or vice versa. For instance, the function x=y+2 yields a different x for every different value of y, while yielding the same x value for every single different value of y. We obtain two distinct x for two distinct ys, thus we can refer to this as a function at that point.

As, each element of X is associated with unique element of Y, so this is a function.

Table A    

           X               Y

           3                 1

            2                 0

            1                  0

As, each element of X is associated with a unique element of Y, so this is a function.

Table B

X            Y

3           -2

5              1

5              2

Hence, Table A represents a function, but Table B does not represent a function.

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To formulate this problem as a linear programming problem, we need to identify the decision variables, objective functions, and constraints.

Decision Variables:
Let x be the number of model A printers manufactured per month, and y be the number of model B printers manufactured per month.

Objective Function:
The objective is to maximize monthly profits, which can be expressed as P = 25x + 40y.

Constraints:
1. The total number of printers demanded per month cannot exceed 3000, so we have the constraint x + y ≤ 3000.
2. The company has earmarked not more than $600,000/month for manufacturing costs, so the cost constraint is 120x + 140y ≤ 600,000.
3. The number of printers manufactured must be non-negative, so x ≥ 0 and y ≥ 0.

Therefore, the linear programming problem is:
Maximize P = 25x + 40y
Subject to:
x + y ≤ 3000
120x + 140y ≤ 600,000
x ≥ 0, y ≥ 0

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Answer:

Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"

Answer:18

Step-by-step explanation:

Because 40% of 45 is 18

Given,

The fraction is

The fraction decomposed by Tammi is,

The fraction decomposed by Orlando is,

The fraction formed by the Tammi's decomposed form,

The fraction formed by the Orlando's decomposed form,

Here, the forming fraction is 1 3/4. Hence, both are correct.

Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17

The solution of the equation \(x^2\) + 27 = 0 when solved over the complex number is \(\sqrt{27}i\)

The equation is

\(x^2\) + 27 = 0

The complex number is the combination of  a real number and an imaginary number.

Here we have to solve the equation and find the value of x

\(x^2\) + 27 = 0

Subtract 27 from the both side of the equation

\(x^2\) + 27 - 27= -27

\(x^2\)  = -27

Take square root on the both side of the equation

x = \(\sqrt{-27}\)

We know,

\(\sqrt{-1}\) = i

The substitute this value in the equation

Then the value of x =  \(\sqrt{27}i\)

Hence, the solution of the equation \(x^2\) + 27 = 0 when solved over the complex number is \(\sqrt{27}i\)

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Average There are 120 ways to choose the three positions so that at least one freshman and one sophomore is chosen.

There are a total of 4 possible combinations of freshman and sophomore for the three positions, with at least one of each:

1. Freshman President, Sophomore Vice-President, Sophomore Treasurer

2. Sophomore President, Freshman Vice-President, Sophomore Treasurer

3. Freshman President, Sophomore Vice-President, Freshman Treasurer

4. Sophomore President, Freshman Vice-President, Freshman Treasurer

For each of the four combinations, there are 10 possible ways to choose the specific freshmen and sophomores for the positions (5 freshmen and 5 sophomores). That means there are 40 possible ways to choose the three positions with at least one freshman and one sophomore. Multiplying this by the 3 possible orders of the positions (President-Vice-President-Treasurer, President-Treasurer-Vice-President, Vice-President-President-Treasurer) gives us a total of 120 possible ways to choose the three positions so that at least one freshman and one sophomore is chosen.

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Answer:

288 good ways

Step-by-step explanation:

:)