Caitlyn spends $17 at the store. She buys a mop for $5 and 3 bottles of floor cleaner. If x represents the cost of each bottle of cleaner, the equation that can be used to find the value of x is 3 x + 5 = 17. Which shows the first step that should be taken to verify that $4 is the solution to the equation?
3 (4) minus 5 = 17
3 (4) = 17 + 4
3 (4) + 5 = 17 + 5
3 (4) + 5 = 17

The cost of the film for the whole area of the figure is $73.6.

Given that,

Chris is covering a window with a decorative adhesive film to filter light.

The figure is a window in the shape of a parallelogram.

We have to find the area of the figure.

Area of parallelogram = Base × Height

Area = 8 × 4 = 32 feet²

Cost for the film per square foot = $2.3

Cost of the film for 32 square foot = 32 × $2.3 = $73.6

Hence the cost of the film is $73.6.

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Answer:

d. 540 deg

Step-by-step explanation:

2 pi radians = 360 deg

(360 deg)/(2pi rad) = 1

3 pi * (360 deg)/(2 pi rad) = 3 * 180 deg = 540 deg

Three rotational symmetries does  figure of  F have.

What is rotational symmetries?

Rotational symmetry is a type of symmetry where a shape or object can be rotated by a certain angle (less than 360 degrees) and still look the same as the original shape. In other words, it is a property of a shape or object that remains unchanged when rotated around a fixed point called the center of rotation.

The number of times a shape looks the same after being rotated by a certain angle is called the order of rotational symmetry. Shapes with higher order of rotational symmetry appear more symmetrical as they can be rotated by more angles and still retain their original form. Rotational symmetry is an important concept in mathematics, geometry, and physics, and it is used in many real-world applications, such as in designing objects, structures, and patterns.

To determine the number of rotational symmetries, we need to look for the number of times the figure looks the same after rotating it by some angle.

In the case of F, we can rotate it by 120°, 240°, and 360° and it will still look the same. Therefore, F has three rotational symmetries.

Option a) 1 at 360° is incorrect because F has additional rotational symmetries at 120° and 240°. Option c) 2 is incorrect because F has three rotational symmetries, not two.

Therefore, F has three rotational symmetries.

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Complete Question:

Answer:

1/5

Step-by-step explanation:

Hope this helps

Answer:

I think that the answer should be 920

Step-by-step explanation:

I think that an integer is a whole number so I rounded to the nearest 10th.

So that's why I think that the answer should be 920.    

Correct me If I'm wrong

Hope I Helped

The probability that Nick oversleeps and has a pop quiz on the same day is 12%.

To find the probability that Nick oversleeps and has a pop quiz on the same day, we can multiply the probabilities of each event since they are independent.

Probability of oversleeping = 48% = 0.48

Probability of having a pop quiz = 25% = 0.25

To find the probability of both events occurring, we multiply these probabilities:

Probability of oversleeping and having a pop quiz = 0.48 * 0.25 = 0.12

Therefore, the probability that Nick oversleeps and has a pop quiz on the same day is 12%.

So the correct answer is 4) 12%.

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Answer:

(12, 190). This represents that after selling 12 ice creams, I gain $190.

Step-by-step explanation:

I just found a scatter plot online. Ignore the current label on the x-axis that says TemperatureC, I just changed that to ice creams. You can change the title of the graph to whatever you want.

Step-by-step explanation:

In mathematics, whole numbers are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on.

Answer:

Whole Number - numbers that do not include fractions, just an integer

Examples:

counting numbers

natural numbers

intergers (positive)

You can search all three of these things online to find more info.

Answer:

1

Step-by-step explanation:

Characters are developed in the passage through their actions. Therefore, option A is correct.

Characters are the people, animals, or entities portrayed in a literary work such as a passage, story, or novel. They are often the main focus of the narrative and drive the plot forward.

A character can be developed through various literary techniques such as actions. Their traits, motivations, and relationships with other characters help to create a deeper understanding of the story and its themes.

Well-developed characters often feel like real people, with complex personalities, histories, and emotions, which helps to engage the reader and create a sense of empathy or connection. Therefore, option A is correct.

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Answer:

Anne made a mistake when she multiplied all the left side equation with 6

Step-by-step explanation:

6(2x)-3 = 22x+32

Distribute 6 only to the term within the parenthesis

12x - 3 = 22x + 32

Collect like terms

12x-22x = 32+3

-10x = 32+3

-10x = 35

divide both sides of equation by -10

x = -3.5

Therefore, P(x) = R(x) - C(x)800 = 9x - (2.5x + 60)800 = 9x - 2.5x - 60900 = 6.5x = 900 / 6.5x ≈ 138

So, she needs to produce and sell approximately 138 T-shirts to make a profit of $800.

Given Data Joanne sells silk-screened T-shirts at community festivals and craft fairs. Her marginal cost to produce one T-shirt is $2.50.

Her total cost to produce 60 T-shirts is $210, and she sells them for $9 each.
Linear Cost Function

The linear cost function is a function of the form:

C(x) = mx + b, where C(x) is the total cost to produce x items, m is the marginal cost per unit, and b is the fixed cost. Therefore, we have:

marginal cost per unit = $2.50fixed cost, b = ?

total cost to produce 60 T-shirts = $210total revenue obtained by selling a T-shirt = $9

a) To find the value of the fixed cost, we use the given data;

C(x) = mx + b

Total cost to produce 60 T-shirts is given as $210

marginal cost per unit = $2.5

Let b be the fixed cost.

C(60) = 2.5(60) + b$210 = $150 + b$b = $60

Therefore, the linear cost function is:

C(x) = 2.5x + 60b) We can use the break-even point formula to determine the quantity of T-shirts that must be produced and sold to break even.

Break-even point:

Total Revenue = Total Cost

C(x) = mx + b = Total Cost = Total Revenue = R(x)

Let x be the number of T-shirts produced and sold.

Cost to produce x T-shirts = C(x) = 2.5x + 60

Revenue obtained by selling x T-shirts = R(x) = 9x

For break-even, C(x) = R(x)2.5x + 60 = 9x2.5x - 9x = -60-6.5x = -60x = 60/6.5x = 9.23

So, she needs to produce and sell approximately 9 T-shirts to break even. Since the number of T-shirts sold has to be a whole number, she should sell 10 T-shirts to break even.

c) The profit function is given by:

P(x) = R(x) - C(x)Where P(x) is the profit function, R(x) is the revenue function, and C(x) is the cost function.

For a profit of $800,P(x) = 800R(x) = 9x (as given)C(x) = 2.5x + 60

Therefore, P(x) = R(x) - C(x)800

= 9x - (2.5x + 60)800

= 9x - 2.5x - 60900

= 6.5x = 900 / 6.5x ≈ 138

So, she needs to produce and sell approximately 138 T-shirts to make a profit of $800.

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Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

48 divided by 8 = 6 or 8 x 6 = 48

Answer:

12 30 100 a car

Step-by-step explanation:

Answer:

12 30 100 a car

Step-by-step explanation:

For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

In multiple regression analysis, the correlation among the independent variables is termed as d. multicollinearity.

Basically, multiple regression analysis means a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables.

If the independent variables of the regression analysis is correlated, the it is called as multicollinearity.

Therefore, the option (d). multicollinearity is the answer

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The statements that best describes the relationship between the mean and median of the distribution of ages in the histogram is the option (C)

(C) The mean is most likely less than the median because the distribution is skewed to the left

A histogram graphically represents the distribution of data, which consists of rectangles, representing the range of values, divided into intervals which is represented as the width of each rectangle, and the number of values within each interval, represented as the height of the rectangle.

Please find attached the possible histogram in the question, created with MS Excel

The histogram indicates that the distribution of the ages is skewed to the left, based on the tail consisting of four smaller rectangles to the left and  two smaller rectangles to the right of the modal frequency interval of 35 to 40. The left skewed histogram indicates that there are a higher frequency of the older age groups.

The mean of a left skewed histogram is usually less than the median.

The correct option is therefore, option (C)

The options in the question are;

(A) The mean and median are equivalent because the histogram has a symmetric distribution

(B) The mean is less than the median because the distribution is skewed to the right

(C) The mean is less than the median because the distribution is skewed to the left

(D) The median is likely less than the mean because the distribution is skewed to the right

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Answer:

56.52 cm

Step-by-step explanation:

Circumference of a circle = \(2\pi r\)

where r is the radius

Given:

⇒ circumference of teacup = 2 x 3.14 x 3² = 2 x 3.14 x 9 = 56.52 cm

The equation of the perpendicular line is y = -0.5x + 6.5

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

y = 2x - 6

Also, from the question;

We have the following points

Point = (5, 4) i.e.  (x, y) = (5, 4)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 2

This means that the slope is 2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/2

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

m = -1/2

(x₁, y₁) = (5, 4)

So, we have

y = -1/2(x - 5) + 4

Evaluate

y = -0.5x + 6.5

Hence, the line has an equation of y = -0.5x + 6.5

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Answer:

14

Step-by-step explanation:

Answer:

4.85

Step-by-step explanation:

4 1/2= 4.5

4 1/6= 4.1666666667

4.85.

when you put them into the decimal form you can see that 4.85 is the largest.

hope this helped.

Answer:

The answer is A. (X=11 and X=-1)

Step-by-step explanation:

I remember getting this question on my test.

\([Hello,BrainlyUser]\)

Answer:

x = 22

Step-by-step explanation:

Knowing that it a supplementary angle = 180 degree

It a right angle therefore it makes that 90 degree

Thus,

The 2 equation is

4x + 2 = 90

3x + 24 = 90

Let first solve this one

4x + 2 = 90

Subtract 2 from both sides

4x + 2 - 2= 90-2

Simplify

4x = 88

Divide both sides by the same factor

4x/4 = 88/4

Simplify

x = 22

Now the second equation:

3x + 24 = 90

Subtract 24 from both sides

3x + 24 - 24 = 90 -24

Simplify

3x = 66

Divide both sides by the same factor

3x/3 = 66/3

Simplify

x = 22

Hence, x = 22.

[CloudBreeze]

Answer:

A is the answer

Step-by-step explanation:

Here is one way     pick two easy points  (-4,0) and  (0,-3)

  and sub into each of the equations until you find the one that 'fits'

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Given information:h(t) = -5t² + 12t + 14 where t is measured in seconds.a) How high is the rock off the ground when it is thrown?For h(0), the initial height of the rock is required.h(0) = -5(0)² + 12(0) + 14 = 14 meters.

For h(t), the rock's maximum height needs to be found to determine the time when the rock hits the ground. In order to determine the maximum height, first, we need to find the time of maximum height using the formula:

tmax = -b/2a = -12/2(-5) = 1.2s

Now, h(1.2) can be found to determine the maximum height:

h(1.2) = -5(1.2)² + 12(1.2) + 14 = 20.8 meters

Therefore, the rock is in the air for (1.2*2) 2.4 seconds.c) For what times is the height of the rock greater than 17 metres?This means h(t) > 17. Solving this inequality gives:-

5t² + 12t + 14 > 17

=> -5t² + 12t - 3 > 0

=> (-5t + 3)(t - 1) > 0

From part c, we know that the rock's height is greater than 17 metres between 0 and 0.6 seconds and after 1 second. Therefore, the time the rock is above 17 metres is the sum of these two time periods:0.6 seconds + (2 - 1) seconds = 1.6 seconds.

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Answer:

Step-by-step explanation:

Given inequality:

Mark the point 3.2 with open dot and shade zone right to that point.

See attached

Check the picture below.

so let's simply get the area of the triangle, square and trapezoid and add them up

\(\stackrel{\textit{\LARGE Areas}}{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{31})(\underset{h}{20})}~~ + ~~\stackrel{square}{(9)(6)}~~ + ~~\stackrel{trapezoid}{\cfrac{15(6+31)}{2}}}\implies 310+54+\cfrac{555}{2}\implies \text{\LARGE 641.5}~in^2\)

The grams of HNO3 in 80 mL of the 70% HNO3 solution is approximately 80 g.

To calculate the grams of HNO3 in 80 mL of a 70% (by mass) HNO3 solution, we can follow these steps:

Step 1: Convert the volume of the solution to grams.

Density = 1.42 g/mL

Volume of solution = 80 mL

Mass of solution = Volume of solution × Density = 80 mL × 1.42 g/mL

= 113.6 g

Step 2: Calculate the mass of HNO3 in the solution.

Percentage concentration of HNO3 = 70%

Mass of HNO3 = Mass of solution × Percentage concentration

= 113.6 g × 70%

= 79.52 g

Step 3: Round the answer to the nearest whole number.

Rounding 79.52 g to the nearest whole number, we get 80 g.

Therefore: The grams of HNO3 in 80 mL of the 70% HNO3 solution is approximately 80 g.

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Answer if im not misstaken its no

Step-by-step explanation:

because ur working with fractions they dont = the same thing. lmk if im wrong

Answer:

No, these functions fail to be inverses of each other.

Step-by-step explanation:

We have two functions :

Let's take the function f(x) and take x = 1.

Let's try the same with g(x).

Clearly, they are not inverse functions of each other.