Is the following story a proportional relationship or not? Jenny bought 15 cans of soda for $6.45. how much will she pay for 21 cans?

The quantity of pounds of dog food that Mrs. Evans should buy that would be enough for her dog = 720 ounces.

The total number of days the food is required to last = 90 days.

The quantity of dog food in ounce the dog eat per day = 4 × 2 = 8 ounces.

Therefore the quantity of pounds that will be enough for the dog for the whole 90 days would be = ?

That is;

1 day = 8 ounces

90 days = X

Make X the subject of formula;

X = 90× 8

= 720 ounces

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The rate of change of the function is equal to 3.

A rate of change is the rate at which one quantity changes in relation to another. Rates of change can be positive or negative. This corresponds to a change in the y-value between the two data points. The term zero rates of change refer to a quantity that does not change over time.

The rate of change will be calculated as,

Rate of change = Δy / Δx

Rate of change = ( -7 + 10 ) / ( -3 + 4 )

Rate of change = 3 / 1

The rate of change Δy / Δx is 3.

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The percent of decrease is 4%.

One year, the population of a city was 215,000. Several years later it was 206,400.

To find out the percent decrease:

A fraction with denominator equals 100 to a percentage: 4%

Based on the given conditions, formulate: \(\frac{215000-206400}{215000}\)

Calculate the sum or difference: \(\frac{8600}{215000}\)

Cross out the common factor: \(\frac{1}{25}\)

Multiply a number to both the numerator and the denominator: \(\frac{1}{25}* \frac{4}{4}\)

Write as a single fraction: \(\frac{4}{25*4}\)

Calculate the product or quotient: \(\frac{4}{100}\)

Rewrite a fraction with denominator equals 100 to a percentage: 4%

Hence the answer is the percent of decrease is 4%.

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We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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The standard numbers are obtained from the given numbers as follows;

The standard form of numbers is obtained by expressing the number completely and not using powers of 10

The given numbers in powers of 10 can be expressed in standard form by writing the specified number of zeros next to 1 given by the power of 10 as follows;

Number → Standard form

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Rita is left with $25

Rita has $300

She spent 1/3 of the money on notebook

= 1/3 × 300

= 100

Rita also spent 1/4 of the money on stationary item

1/4 × 100

= 25

Hence Rita is left with $25

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Answer

I can't tell what you're asking but here is all the things

Step-by-step explanation:

Total Numbers: 10

Mean (Average): 7.9

SD:  4.38305

Variance (SD): 19.21111

Population SD: 4.15812

Variance(Population SD): 17.29

Hi there, here's your answer:

Given a class is divided into 2 equal groups, i.e. Group A has 1 : 2 of the students in the class and group B has 1 : 2 of the students in the class.

Also \(\frac{2}{3} rd\) of group A have an A

While 40% of group B have an A

To find:
Fraction of the class that has A

Solution:

First, we find the % of students in group A who have an A:

Since \(\frac{2}{3} rd\) of group A have an A,

\(\frac{2}{3}\) × \(50\)  (∵ 1 : 2 = 50 : 100)

\(= \frac{100}{3} = 33.33\)   (i)

Therefore, % of students in group A who have an A = 33.33%

Now, we find the % of students in group B who have an A:

Since 40% of group B have an A:

\(\frac{40}{100}\) × \(50\) (∵ 1 : 2 = 50 : 100)

= 4 × 5 = 20   (ii)

Adding (i) and (ii), we get
33.33 + 20 = 53.33%

Thus, the fraction of the class that has an A = \(\frac{53.33}{100}\)

Hope it helps! Please mark as Brainliest!

The required rates are: Unit rate of graph K = 3, Unit rate of graph P = 0.5, and Unit rate of graph F = 1. The order from lower to greater is Graph P, graph F, graph K

Step 1: As we know that Unit Rate

Step 2: Notice that the in graph K line passes through the point (1,3)

Step 3: (1,3)

It means the value of function is 3 when x= 1

Step 4: So the unit rate of graph K is, 3/1

Step 5: Simplify the expression.

3/1 = 3

Step 6: Similarly we can see that the graph P have the point (2, 1)

Step 7: So the unit rate of graph P will be 1/2

Step 8: Simplify the expression.

1/2 = 0.5

Step 9: The graph F have point (1, 1) so it have unit rate of 1/1

Step 10: Simplify the expression.

1/1 = 1

Step 11: So we have unit rate of graph K = 3, F= 1 and graph P = 0.5

Step 12: Putting them in least to greater order as,

0.5, 1, 3

It follows that;

graph P, graph F, graph K

Therefore, the required answer is,

Unit rate of graph K = 3

Unit rate of graph P = 0.5

Unit rate of graph F = 1

And the order from lower to greater is, Graph P, graph F, graph K

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The procedure describe a completely randomized design for this research as B. Yes, the subjects are randomly assigned to each treatment.

In a randomized block design, the experimental units are divided into groups that we refer to as blocks. The experimental units inside each of the blocks will then be randomly assigned treatments.

As we can see from the question, they were divided into Blocks based on how much sun exposure they received while engaging in outdoor activities. After that, random treatments are assigned to each group.

Here, the participants are divided into groups based on their sun exposure, and then both treatments are distributed at random among the groups.

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Answer:

Step-by-step explanation:

Given triangle WXY with sides WX = 7 in and XY = 7 in and angle X = 60°, you want the measure of angle Y and the length of side WY.

The equal given side measures tell you that their opposite angles (W and Y) have equal values. Those values will be such that the total of all angles is 180°:

  W +Y +X = 180°

  Y +Y +60° = 180° . . . . . . . . . . . use given values; substitute Y for W

  Y = (180° -60°)/2 = 60° . . . . . . . subtract 60°, divide by 2

All of the angles in this triangle have the same measure, so it is an equilateral triangle. All of the sides have the same measure, too.

  angle Y = 60°

  WY = 7 inches

__

Additional comment

It is helpful to recognize that an isosceles triangle with a vertex angle of 60° is an equilateral triangle. That recognition lets you write down the answer with no further work.

Answer:75.6

Step-by-step explanation:

Answer:

6 + n < 14

just in case...

n < 8

Answer:

Cooler

Step-by-step explanation:

Answer:

(4x + 11)

Step-by-step explanation:

(6x+11) + (4x + 9) - (6x + 9)

(10x + 20) - (6x + 9)

(4x + 11)

Answer:

your going to have to be a little more specific than that please ;-; but if you want i can answer it this way

Reach a fabled level of success that makes you untouchable.

Create a positive work/life balance.

Feel as capable as others think you are.

Be more productive with each minute of the day.

Be recognized as talented or even brilliant.

People want dreams, goals, values and expectations in their life.

Life is the quality which people, animals, and plants have when they are not dead, and which objects and substances do not have

Given is a statement that asks about the specific things that people want in life.

The specific things that people want in life are dreams, goals, values and expectations.

Therefore, people want dreams, goals, values and expectations in their life.

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Hello,

- 10, - 8, 0, 2, 9

The ascending order is always : negative numbers, zero, positive numbers

Answer:

-10, -8, 0, 2, 9

Answer:

The inverse is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x) = (x+3)^5

Finding the inverse,

\(f(x) = (x+3)^5\\or,\\y = (x+3)^5\)

We replace x with y and vice versa

so,

\(x = (y+3)^5\)

Solving for y,

the the 5th root,

\(\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3\)

hence the inverse function is,

\(f^{-1}(x) = \sqrt[5]{x} - 3\)

Step-by-step explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

Step-by-step explanation:

im not a spoiler

To find the missing angle measure, we need to use the fact that the sum of angles in a triangle is 180 degrees. Let's denote the missing angle as x. We know that one angle is 38 degrees and another angle is 12.5 degrees.Therefore, the missing angle measure is 129.5 degrees.

By subtracting these two angles from 180 degrees, we get:

180 - 38 - 12.5 = 129.5

Without additional information, it is not possible to determine the remaining parts of the triangle. We would need the lengths of at least one side or the measures of other angles to solve for the missing parts.

The given information states that AC is equal to AB minus mzB. Without knowing the values of AB and mzB, we cannot determine the exact length of AC. We would need additional information to solve for the length of AC.Therefore, the missing angle measure is 129.5 degrees.

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Answer:

D

Step-by-step explanation:

108.5

El volumen remanente entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

En esta pregunta debemos encontrar el volumen remanente entre el espacio de una caja cúbica y una esfera introducida en el elemento anterior. El volumen remanente es igual a sustraer el volumen de la pelota del volumen de la caja.

Primero, se calcula los volúmenes del cubo y la esfera mediante las ecuaciones geométricas correspondientes:

Cubo

V = l³

V = (4 cm)³

V = 64 cm³

Esfera

V' = (4π / 3) · R³

V' = (4π / 3) · (2 cm)³

V' ≈ 33.5103 cm³

Segundo, determinamos la diferencia de volumen entre los dos elementos:

V'' = V - V'

V'' = 64 cm³ - 33.5103 cm³

V'' = 30.4897 cm³

El volumen remanente entre la esfera y el cubo es igual a 30.4897 centímetros cúbicos.

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a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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The value of p when q is 2 is 1

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means that has x increases y will decrease and vice versa.

If p is inversely proportional to q , then p = kq

when p = 2, q = 4

2 = k4

k = 2/4

k = 1/2

When q = 2

p = 1/2 × 2

p = 1

Therefore the value of p is 1

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The ordered pair(y,x) that is a solution to the equation is (1, 0)

The equation of the function is given as

-x + 6y = 6

The ordered pair is given as

(y, x)

This means that x is a function of y

So, we make x the subject in -x + 6y = 6

This gives

x = 6y - 6

Next, we assume a value for y and solve for x

Assume y= 1

so, we have

x = 6(1) - 6

Evaluate

x = 0

So, we have

(y, x) = (1, 0)

Hence, the ordered pair is (1, 0)

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Answer:

3x² - 4x - 5

Step-by-step explanation:

Definitions:

Long Division Method of dividing polynomials:

Given:

Rearrange the dividend in descending order of the exponents:

6x³ - 17x² + 2x  + 15

Now use the method of long division to divide (6x³ - 17x² + 2x  + 15) by (2x - 3):

\(\large \begin{array}{r}3x^2-4x-5\phantom{)}\\2x-3{\overline{\smash{\big)}\,6x^3-17x^2+2x+15\phantom{)}}}\\{-~\phantom{(}\underline{(6x^3-9x^2)\phantom{-b)))))))).)}}\\-8x^2+2x+15\phantom{)}\\-~\phantom{()}\underline{(-8x^2+12x)\phantom{)))..}}\\-10x+15\phantom{)}\\-~\phantom{()}\underline{(-10x+15)\phantom{}}\\0\phantom{)}\\\end{array}\)

Therefore, the quotient is:

\(\boxed{\boxed{3x^2-4x-5}}\)

The calculated value of x in the triangle is 23.57 degrees

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

The right triangle

From the triangle, we have

Angle x

Also, we have the following sides in relation to x

Opposite = 6

Hypotenuse = 15

This means that we make use of the sine ratio

i.e. sin = opposite/hypotenuse

So, we have

sin(x) = 6/15

Evaluate

sin(x) = 0.4

Take the arc sin of both sides

x = 23.57

Hence, the value of x is 23.57 degrees

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