2/3 3/4 5/6 least to greatest

Answer:

17.5

Step-by-step explanation:

hope it helps :)

Answer:

Step-by-step explanation:

35x2=70/4=17.5

The demand curve slope to P = 2 - 0.0025·Q is -0.0025

The slope of a line is the ratio of the rise of the line (vertical distance), divided by the horizontal distance of the line.

The equation of the demand curve is; P = 2 - 0.0025·Q

The possible question is to graph the demand curve.

Let P represent the price of the item in dollars, and let Q represent the quantity demanded, we get the following table, with which the graph of the demand curve can be plotted

Price($) [tex]{}[/tex]         Quantity Demanded

2                     [tex]{}[/tex]         0

1.75                     [tex]{}[/tex]     100

1.50                   [tex]{}[/tex]       200

1.25                     [tex]{}[/tex]     300

1.00               [tex]{}[/tex]           400

0.75                     [tex]{}[/tex]     500

0.5                     [tex]{}[/tex]       600

0.25                     [tex]{}[/tex]     700

0                     [tex]{}[/tex]           800

The above points, obtained by using the equation function of MS Excel,  can be used to plot the graph of the Demand function.

The slope of the graph, using any two points, is found as follows;

Slope = (1.75 - 2)/(100 - 0) = -0.0025

The other characteristics of the line includes;

The x-intercept, the point at which P is 0 is obtained as follows;

P = 2 - 0.0025·Q = 0

At the x-intercept; 2 = 0.0025·Q

Q = 2/0.0025 = 800

The x-intercept is the point where the quantity, Q, is 800

The y-intercept, the point where, the quantity, Q, is 0 is found as follows;

P = 2 - 0.0025·Q

Q = 0, P = 2 - 0.0025 × Q = 2

The y-interceprt is the point where the price is $2

Please find attached the required graph of the demand function created with MS Excel.

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By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.

By multiplying the surface area of one face by six, 54 cm2 is obtained as the area of six faces.

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Answer:300

Step-by-step explanation:

doesn't factorize unless there is an x or if the 9 is negative

Answer: The integer 10 can represent various situations such as:

The number of apples in a basket

The number of students in a class

The number of eggs in a carton

The number of minutes in 10/60 of an hour

The number of seconds in 10/60/60 of a day

The number of inches in 10/12 of a foot

and so on

It represents a quantity or a count of something.

Step-by-step explanation:

The solutions to the given quadratic equation is x = -1 and x = -2/3.

The quadratic equation is defined as a function containing the highest power of a variable is two.

The quadratic equation is given in the question, as follows:

3x² + 5x + 2 = 0

We have to determine the solution to the given equation.

As per the question, we have

3x² + 5x + 2 = 0

3x² + 3x + 2x + 2 = 0

3x(x+1) +2(x+1) = 0

(x+1)(3x+2) = 0

Factor equating to zero,

(x+1) = 0 and (3x+2) = 0

x = -1 and x = -2/3

Thus, the solutions are x = -1 and x = -2/3.

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The question seems to be incomplete the correct question would be:

Find the solution to the below quadratic equation.

3x² + 5x + 2 = 0

Answer:

About $1.45

hope this helps and I accept venmo

The linear equation that will relate a and b is 30a+10b=24.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

As given

speed and time it carried letter of large truck=30m/h and a

speed and time it carried letter of local vehicle=10m/h and b

Total distance travelled=24miles

As speed=distance/time

distance=speed*time

Hence,

24=30a+10b

i.e. 30a+10b=24

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Yes, the graph represent a proportional relationship.

What is a proportional relationship?

If one variable is always equal to a constant multiplied by the other variable(quantity), then we can say that those variables are in a proportional relationship.

Based on the type of relationship two or more quantities share, the proportion can be classified into different types. There are two types of proportions.

Direct Proportion relationship:-

This type describes the direct relationship between two quantities. In simple words, if one quantity increases, the other quantity also increases and vice-versa.

For example, if the speed of a car is increased, it covers more distance in a fixed amount of time. In notation, the direct proportion is written as y ∝ x.

Denoted by y = kx where k is the constant of proportionality.

Inverse Proportion relationship:-

This type describes the indirect relationship between two quantities. In simple words, if one quantity increases, the other quantity decreases and vice-versa.

It is represented as y ∝ 1/x. For example, increasing the speed of the car will result in covering a fixed distance in less time.

Denoted by y = k(1/x) or xy = k, where k is the constant of proportionality.

Now,

It is a direct proportional relationship because y-axis is increasing in multiples (50 multiple) of x.

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The correct pairs for each graph and linear function are:

Let's discuss each graph's linear function:

Remember that the linear function format is y = mx + c can be found using 2 given points and formula of:

 y - y₁ =  x - x₁

y₂ - y₁     x₂ - x₁

Graph 1

Points: (3, 5) and (-2, -5)

 y - y₁ =  x - x₁

y₂ - y₁     x₂ - x₁

y - 5  =  x - 3

-5 - 5    -2 - 3

y - 5  =  x - 3

- 10       -5

y - 5 = 2x - 6

y = 2x - 1

y < 2x - 1

Graph 2

Points: (1, 0) and (0, -1)

 y - y₁ =  x - x₁

y₂ - y₁     x₂ - x₁

y - 0  = x - 1

-1 - 0    0 - 1

y - 0 = x - 1

 -1        -1

y = x - 1

y ≥ x - 1

Graph 3

Points: (0, 1) and (-1, -1)

 y - y₁ =  x - x₁

y₂ - y₁     x₂ - x₁

y - 1 = x - 0

-1 - 1   -1 - 0

y -1 = x

 -2     -1

y - 1 = 2x

y = 2x + 1

y > 2x + 1

Graph 4

Points: (2, 0) and (0, -2)

 y - y₁ =  x - x₁

y₂ - y₁     x₂ - x₁

y - 0 = x - 2

-2 - 0   0 - 2

  y    = x - 2

 -2         -2

y = x - 2

y ≤ x - 2

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a) Diagram of pool and walkway.

b) Expression for perimeter of pool = 8w

c) Expression for area of pool = 3w²

d)  Expression for perimeter of the walkway outside = 8w + 16

e)  Expression for area of pool and walkway = 3w² + 16w + 16

f)  Expression for area of walkway = 6w + 16

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

Given,

Length of pool = 3 times the width

Walkaway is 2 ft wide all around

Let the length be l and width be w

l = 3w

Perimeter of the pool P =  2l + 2w

                P = 2(3w) + 2w

                P = 6w + 2w

                P = 8w

Area of the pool A = l × w

                           A = 3w × w

                           A = 3w²

Length of the walkway outside = 3w + 4

Width of the walkway outside = w + 4

Perimeter of the walkway outside = 2(3w + 4) + 2(w + 4)

                                                        = 6w + 8 + 2w + 8

                                                        = 8w + 16

Area of the pool and walkway = (3w + 4)(w + 4)

                                                   = 3w² + 12w + 4w + 16

                                                   = 3w² + 16w + 16

Area of the walkway = Area of the pool and walkway - Area of the pool

                                  = 3w² + 16w + 16 - 3w²

                                  = 16w + 16

Hence,

b)8w is perimeter and

c) 3w² is area of pool.

d) 8w + 16 is the perimeter of the walkway outside,

e) 3w² + 16w + 16 is the area of pool and walkway,

f) 6w + 16 is the area of walkway.

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Answer: No you cannot

Step-by-step explanation:

280 + 95 + 470 = 845

but the max amount of pounds the elevator can carry is 800.

-1 x-intercepts in the graph.

Explanation:

Y = X^3 - 1

Put y = 0 , x = -1.

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Y is 275.Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation.

Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is typically put before constants when arranging the terms in the same sequence. The two phrases are equal if each of the terms in both of them is the same.

Explanation:

x 2 + xy+xz=135; y 2 + yz+ xy=351; z 2 + xz+ yz=243; (iii)

When I (ii), and (iii) are added together, we obtain x 2 + y 2 + z 2 + 2(xy+yz+xz) = 729, which converts to (x+y+z) 2 = 27 2.

x+y+z=27

........

(iv)

According to equation I x 2 + x y + x z = 135 => x(x+y+z) = 135 => x27=135 => x=5

In equation (ii), we have y 2 + y z + x y = 351, which leads to y (x+y+z) = 351.

y×27=351 \s=>

y=13

Once more, we obtain the following from equation (iii): z 2 + x z + y z = 243; z (x + y + z) = 243; z 27 = 243.

z=9 \sx \s2 \s +y \s2 \s +z \s2 \s =5

2 \s +13 \s2 \s +9 \s2 \s =275.

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Answer: To find the least common denominator (LCD) of two fractions, we need to find the least common multiple (LCM) of the denominators.

In this case, the fractions are:

1/6 and 5/9

The denominators are 6 and 9.

The least common multiple (LCM) of 6 and 9 is 18.

So, the least common denominator (LCD) of 1/6 and 5/9 is 18

We can write both fractions with 18 as denominator:

1/6 = 3/18

5/9 = 10/18

So, the least common denominator of 1/6 and 5/9 is 18.

Step-by-step explanation:

Answer: ASK ONLINE

Step-by-step explanation:

Answer:

Okay so since she has 80 dollars, and already spent 25, then she would have 55 dollars remaining.

Now that she has 55 dollars, she will divide it up evenly between her 4 friends.

55/4 = 13.75

The most that she would be able to give them is $13.75

Step-by-step explanation:

Hope it helps! =D

Step-by-step explanation:

he surface area of a sphere is given as SA = 4πr^2, where r is the radius.

If the surface area is 64 square feet, then:

64 = 4πr^2

Dividing both sides by 4π:

16/π = r^2

Taking the square root of both sides:

r = √(16/π)

The radius, in feet, is approximately 2.8 feet.

Answer:

To express the given expression T² − 8t + 16 in the form (t+a)sqrd , we need to factor it.

We can start by noticing that T² − 8t + 16 can be written as (T-4)² which is the square of a binomial.

We can see that T² − 8t + 16 can be factored as (T-4)² .

So the expression T² − 8t + 16 can be expressed in the form (t+a)sqrd where a = -4

(t-4)² = (t+(-4))²

So the expression T² − 8t + 16 can be expressed in the form (t-4)²

Answer:

The lateral surface area of a cylinder is the area of the curved surface that goes around the cylinder. It can be calculated using the formula:

Lateral Surface Area = 2πrL

where π is pi, r is the radius, and L is the length of the cylinder.

The total surface area of a cylinder is the sum of the lateral surface area and the area of the two circular end caps. It can be calculated using the formula:

Total Surface Area = 2πrL + 2πr^2

Given that r = 20mm and L = 75mm, we can use these values to find the lateral and total surface area of the cylinder:

Lateral Surface Area = 2πrL = 2 * 3.14 * 20mm * 75mm = 4712 mm^2

Total Surface Area = 2πrL + 2πr^2 = 2 * 3.14 * 20mm * 75mm + 2 * 3.14 * 20mm^2 = 4712 mm^2 + 1256 mm^2 = 5968 mm^2

Answer:

B

Step-by-step explanation:

take square on both sides,

7x-4 = 4x

so, x = 4/3

The arrangement of 26/4, 6.45, 6 2/5, and 50/8 in order from least to greatest is C. 50/8, 6 2/5, 6.45, 26/4.

The concept that will be used here is ordering of numbers using < signs.

To arrange the  shows, we can convert 26/4, 6.45, 6 2/5, and 50/8  to decimal so this will help us to determine the order.

26/4=6.50

6.45=6.45

6 2/5=32/5 = 6.40

50/8 =6.25

Then 6.25<6.40 <6.45 <6.50 and this implies that the order that the arrangement follows is 50/8, 6 2/5, 6.45, 26/4

Therefore, option C is correct.

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Answer: The beef costs $3/lb

Step-by-step explanation: in order: 2x$4=8,  20-8=12,   12/4=3

The population density of Rio de Janeiro in people per square meter is 5. 377 x 10 ⁻³ people per m²

To find the population density in meters squared when given the population density in kilometers squared, you first need to find the conversion factor between kilometer squared and meters squared.

1 kilometer squared is equal to 1, 000, 000 meters squared.

The population density of Rio de Janeiro in meters squared is therefore:

= Population density in kilometers squared / Conversion factor

= 5, 377 / 1, 000, 000

= 0. 005377

= 5. 377 x 10 ⁻³ people per m²

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The full question is:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

For f(x) = 1 the value of x is 0, -6, and the value of the function at x= 4 or f(4) is -3.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, a function f(x) in the graph

f(x) = y

F(X) represents the function value at various values of x

From graph,

f(4) = -3

Because at x = 4, y = -3

at f(x) = 1

since f(x) = y

y = 1

satisfying at two values of x that are -6, 0

Therefore, For f(x) = 1 the value of x is 0, -6 and the value of f(4) is -3.

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Complete question:

The value for the expression, (f * g)(x) is calculated as: C. 8x³ - 12x² - 6x -1

How to Evaluate the Expressions of Functions?

We are given the following functions,

f(x) = 4x² – 4x + 1 and g(x) = 2x – 1.

To find the value of the expression, (f * g)(x), it means we have to multiply the functions together. See the steps explained below.

(f * g)(x) = f(x) * g(x)

Plug in the values:

(f * g)(x) = f(x) * g(x) = (4x² – 4x + 1)(2x – 1)

(f * g)(x) = 4x²(2x – 1) - 4x(2x – 1) + 1(2x – 1)

Apply the distribution property of equality:

(f * g)(x) = 8x³ – 4x² - 8x² + 4x + 2x – 1

Combine like terms:

(f * g)(x) = 8x³ - 12x² - 6x - 1

Therefore, the answer is: C. 8x³ - 12x² - 6x - 1.

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The graph of a proportional relationship is a straight line that passes through the origin.

A proportional relationship is a relationship between two variables in which the ratio of one variable to the other is always constant. In other words, if y is proportional to x, we can write y = kx, where k is a constant.

The graph of a proportional relationship is a straight line that passes through the origin (0,0). The slope of the line is equal to the constant of proportionality k. If k is positive, the line will slope upward from left to right, and if k is negative, the line will slope downward from left to right.

The y-intercept of the graph will always be (0,0) since the line passes through the origin.

Therefore, we can state that: the graph of a proportional relationship is a straight line that passes through the origin.

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