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There is a directly proportional relationship between the weight and total cost of bag of of lemons.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

When two variables are directly or indirectly proportional to one another, their relationship may be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

As an illustration, we may write y = kx, where x is the amount of gas in gallons, y is the price in dollars, and k is the proportionality constant.

Given data :

One bag weighs 2.4 pounds and cost $5.28.

Another bag weighs 2.7 pounds and cost $5.94

2.4k = 5.28

k= 2.2

2.7k = 5.94

k = 2.2

k > 1

The weight and total cost of bag of of lemons is directly proportional, so when weight of lemon increases, the cost of lemon also increases.

Therefore, there is a directly proportional relationship between the weight and total cost of bag of of lemons.

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Answer: The answer is 29,446,941,856

Step-by-step explanation:

Answer:

-4

Sorry if this is wrong.

Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

Answer:

Corect Answer: A (5,5)

Step-by-step explanation:

5(5)+2(5)= 35, which is greater than 19

5+5= 10, which is greater than 5

therefore- (5,5) is correct & works for the system of inequalities

Set of value that belong to the Domain are: Values of Independent, Variable, Input Values

Set of value that belong to the Range are: Output Values, Values of Dependent Variables.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

Domain :

Values of Independent Variable

Input Values

Range :

Output Value

Values of Dependent Variables.

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From the inventory ratios of  24 8, 33.4 and 53.8 of  Dunn and Bradstreet report. It can be concluded that

The problem is seeking expression of ratios in percentage

Ratios represents part or share of a whole while percentage refers to a fraction of hundred

Calculation of the whole among the ratios 24 8 : 33.4 : 53.8 is done by adding up

= 24 8 + 33.4 + 53.8

= 108

Expressing as ratio 53.8 a percentage, we have

= 53.8/108 * 100

= 0.4981 * 100

= 49.81%

approximately 50%

We can therefore say that inventory of 53.8 or more is 50%

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So we're trying to find the equation of a line using the provided x and y values in the chart. We should start by finding the slope of the line, since that's easiest!

We know that the equation for slope is [tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

All we need to do is pick two points (two x and y coordinates) and respectively plug them into the equation! I want to note that it does not matter which two points you choose! You will always get the same slope!

Alright, so using the two points (-2, -17) and (0, 23) I'll calculate the slope!

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{23-(-17)}{0-(-2)}\\m=\frac{23+17}{0+2}\\m=\frac{40}{2}\\m=20[/tex]

(Just to prove that you can use any two points I'm going to do another example. The only thing you need to keep in mind is that y values are always on top and x values are always on the bottom! In this example I'm using (-6, -97) and (2,63)!)

[tex]m=\frac{63-(-97)}{2-(-6)}\\m=\frac{160}{8}\\m=20[/tex]

As we can see, no matter which points you use, it will always simplify to the same slope!

Now that we have the slope, we need to find the x and y intercepts! An x intercept is the point where y = 0 on the x-axis. A y intercept is the pint where x = 0 on the y-axis!

We already have a y intercept given to us, as you can see in the table there is a point (0, 23). This point is where x = 0! This will be our value next to the y in the equation. So so far, our equation looks like this:

[tex]y-23=20(x-x_1)[/tex]

And how do we know what the x intercept (x1) is? Well, we have a table full of values, so we can use those to plug in for y and x! I want to note again, you do not need to worry about which values you use! Just make sure you have your x and y straight and plug in whichever pair of coordinates you want! I will use the point (-2, -17).

[tex](-17)-23=20((-2)-x_1)\\-40=20(-2-x_1)\\-2=-2-x_1\\x_1=0[/tex]

So it looks like this line goes straight through the origin! If you want to confirm your findings, you can just use another point. This time I'll just use (2, 63)!

[tex](63)-23=20(2-x_1)\\40=20(2-x_1)\\2=2-x_1\\x_1=0[/tex]

This also makes sense to be our x-intercept value since if it was any other number, our y intercept would not be (0, 23) and the given values wouldn't be true anymore! (This is just another way to confirm that it's right!)

Therefore, our final equation is:

y - 23 = 20 (x - 0)

y = 20x + 23 (same answer, just in a different form)

Answer:

Hello, the answer is 6, C.

Step-by-step explanation:

50 percent of 12 is 6.

Answer:

180 degrees counter-clockwise and 180 degrees clockwise

Step-by-step explanation:

Answer:

24/7

Step-by-step explanation:

tan 2t =+ 2 tan t) /( 1 - tan²t)

(2(-4/3))/(1- 16/9)

(-8/3)/(-7/9) = 24/7

Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.

The recipe for 30 people would be as follows:

The recipe in the question above only serves 8 persons.

However, we are required to convert the recipe into one that serves 30 persons.

To do that, it is important to first convert the recipe into one that serves one(1) person.

If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.

The results are as follows:

The new recipe above is for serving 1 person Molten lava cake.

Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.

The results are as follows:

However, the question requires that the quantities be rounded off to the nearest half.

therefore we have,

4 c of sugar

22 ¹/2 squares of bittersweet chocolate

7 ¹/2 squares semisweet chocolate

4 ¹/2 stick butter

2 cup all-purpose flour

5 ¹/2cups confectioners’ sugar

11 ¹/2 large eggs

15 egg yolks

4 tsp vanilla extract

9 ¹/2 tablespoons orange liqueur.

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Answer:

A = 38.5 units²

Step-by-step explanation:

the figure has one pair of parallel sides and is therefore a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

b₁ and b₂ are the parallel bases and h the perpendicular height between them.

here h = 7 , b₁ = 5 , b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 7 × (5 + 6) = 3.5 × 11 = 38.5 units²

Here's the solution,

we know,

[tex] \large \boxed{Sn = \frac{n}{2}[ 2a _1 + (n - 1)d ] }[/tex]

=》

[tex]Sn = \dfrac{17}{2} [ (2 \times 8 )+ (17 - 1) \times ( - 9) ][/tex]

=》

[tex]Sn = \dfrac{17}{2} [16 + (16 \times - 9)][/tex]

=》

[tex]Sn = \dfrac{17}{2} [16 + ( - 144)][/tex]

=》

[tex]Sn = \dfrac{17}{2} \times (- 128)[/tex]

=》

[tex]Sn = 17 \times ( - 64)[/tex]

=》

[tex]\huge\boxed{Sn = - 1088}[/tex]

Answer:

k = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

given variation equation

y = kx

to find k substitute y = 3 and x = 4 into the equation and solve for k

3 = 4k ( isolate k by dividing both sides by 4 )

[tex]\frac{3}{4}[/tex] = k

Answer:

2/5

Step-by-step explanation:

Rolling a number less than two means that you roll a 1.

1/10 is the answer to less than 2

Roll a number greater than 7 means you roll 8 9 or 10 that's 3 out of 10

Answer

1/10 + 3/10 = 4/10 = 2/5

Answer:

C

Step-by-step explanation:

The double step class is in studio b

Answer:

C) The double step class is in studio A.

Step-by-step explanation:

Answer: It is a reflection over the x axis!

Step-by-step explanation: The x axis is the horizontal line, so you reflect it over there. It is a reflection because you didn't rotate it, and you didn't translate it. You reflected the coordinates to the other side.

Answer:

x-3

Step-by-step explanation:

hope i helped, tell me if you get it right! :)

Answer:

10.5

Step-by-step explanation:

3x - 9 = x + 12

Subtract x from both sides

2x - 9 = 12

ad 9 to both sides

2x = 21

Divide both sides by 2

x = 10.5

Answer:

[tex]these \: sides \: are \: equal \: (rhombus) \\ x + 12 = 3x - 9 \\ 2x = 21 \\ x = 10.5[/tex]

Answer:

21.2058333333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference = 2 * pi * r

r = 9 inches

Circumference = 18 pi

If there are 12 pieces (all equal) then the length of the crust is

C_part = 18*pi/12

C_part = 3/2 * pi

C_part= 4.71 inches

The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).

When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.

given

Axis of symmetry:

x=9 /2

Vertex (minimum point): (9/2,−55/2)

X-intercepts: ((9+√55)/2,0) and ((9−√55)/2,0)

Y-intercept: (0,13)

The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).

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The maximum number of zeros is 2, and the x-intercepts are -9, 9.

The x-intercept is where the graph crosses the x-axis.

Here, we have,

The function is given as:

y=(x+9)(x-9)^2

The above function can be rewritten as:

y=(x+9)(x-9)(x-9)

The x-intercept is the point where the graph crosses the x-axis

To determine the x-intercepts, we remove the common factors

So, we have:

y=(x+9)(x-9)

Equate to 0

(x+9)(x-9)=0

Split

(x+9)=0 and, (x-9)=0

Solve for x

x=9 & x=-9

So, the maximum number of zeros is 2, and the x-intercepts are -9, 9.

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Answer:

-6 < x <1 , (-6, 1)

Step-by-step explanation:

Answer:

y=(x+4)/3

Step-by-step explanation:

Answer:

x + 4 / 3

Step-by-step explanation:

Answer:

a₁₂₀ = 64.5 , S₁₂₀ = 4170

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = 0.5 , then

a₁₂₀ = 5 + (119 × 0.5) = 5 + 59.5 = 64.5

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

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , then

S₁₂₀ = [tex]\frac{120}{2}[/tex] [ (2 × 5) + (119 × 0.5) ]

      = 60(10 + 59.5)

      = 60 × 69.5

      = 4170

Answer:

Step-by-step explanation:

If Colton makes a guaranteed salary of $500 per week, and he is paid a commission of 10% on top of that for a total of $1075 in sales, he would make an additional $107.50 in commission (1075 x .1 = 107.5). In total, Colton would make 500 + 107.5 = $607.50 in a week where he made $1075 in sales.

Answer:

b= 106 or b= -58

Step-by-step explanation:

word sentence

82= b-24

solution b equals 106

or

word sentence 82= 24-b

solution b equals -58

Answer:

Area= 46,000

Permiter= 4,600

Step-by-step explanation:

The formula to find the area of a rectangle is Length(L) times Width(W).

So 2,000(L) times 23 (W)= 46,000.

The formula for perimeter is 2(l+w).

So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.

Hope that helped, have a great day!!

Given:

Measure of a cube = 1 unit on each side.

Dimensions of a space 2 units by 3 units by 4 units.

To find:

Number of cubes that can be fit into the given space.

Solution:

The volume of cube is:

[tex]V_1=a^3[/tex]

Where, a is the side length of cube.

[tex]V_1=(1)^3[/tex]

[tex]V_1=1[/tex]

So, the volume of the cube is 1 cubic units.

The volume of the cuboid is:

[tex]V_2=l\times b\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=2,b=3,h=4[/tex], we get

[tex]V_2=2\times 3\times 4[/tex]

[tex]V_2=24[/tex]

So, the volume of the space is 24 cubic units.

We need to divide the volume of the space by the volume of the cube to find the number of cubes that can be fit into the given space.

[tex]n=\dfrac{V_2}{V_1}[/tex]

[tex]n=\dfrac{24}{1}[/tex]

[tex]n=24[/tex]

Therefore, 24 cubes can be fit into the given space.