Every package of a certain toy also includes 2 batteries. Are the number of toys and number of batteries in a proportional relationship?If so, what are the two constants of proportionality? If not, explain your reasoning.

Answer:

y = 4x+1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

y = 4x+1

Answer:

y = 4x + 1.

Step-by-step explanation:

The general slope-intercept form is

y = mx + c where m = the slope and c is the y-intercept.

Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.

Let d represent the amount of cash in dollars and p represent the amount of prizes.

Since the  grand prize winner is guaranteed to win at least $500,

So, p + d ≥ 500

Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

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Answer:

y is not mentioned in the question.

40°=(2z+10)°

40°-10=2z

30=2z

30/2=z

15=z

Using the definition of vertical angles, the value of z is: 15.

The two pairs of opposite angles formed when two straight lines intersect are called vertical angles, and are therefore congruent to each other.

Thus:

2z + 10 = 40

2z = 40 - 10

2z = 30

z = 30/2

z = 15

Therefore, using the definition of vertical angles, the value of z is: 15.

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The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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The solution of the function 3f(1) - 4g(-2)  is -19.

The functions can be solved as follows;

f(x) = 7x - 4

g(x) = 11 - x²

Therefore, let's solve the composite function as follows:

A composite function is generally a function that is written inside another function.

Hence,

3f(1) - 4g(-2) = ?

f(1) = 7(1) - 4 = 7 - 4 = 3

g(-2) = 11 - (-2)² = 11 - 4 = 7

Therefore,

3f(1) - 4g(-2) = 3(3) - 4(7) = 9 - 28 = -19

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Answer:

1-70: Purple- 9/10= 0.18= 2 marbles

        Orange- 16/50= 0.32= 3 marbles

        Yellow- 6/50= 0.12= 1 marble

        Green- 19/50= 0.38= 4 marbles

1-71: Part A. 3/6= 1/2

       Part B. 4/6= 2/3

26% because you multiply 26 by 100 and get 2,600 so thats 26% Hope this helps :) Step-by-step explanation:

When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

B

Step-by-step explanation:

THe answer is b because you have to divide 3 by whatever the answer is so just divide all answers until you get one thats 120 so b

Answer:

B.40 words

Step-by-step explanation:

120÷3=40

40×3=120

Answer:

The temperature in °C is 35.

Step-by-step explanation:

To calculate the temperature in degree Celsius we need to use the following equation:

\(^{\circ} C = (^{\circ} F - 32) \times \frac{5}{9}\)    (1)

The given equation has an error. Equation (1) is the correct one.

Hence, the conversion of 95 °F to °C is:

\(^{\circ} C = (95 - 32) \times \frac{5}{9} = 35\)

Therefore, the temperature in °C is 35.

I hope it helps you!        

84.13% of the printing jobs will be acceptable.

The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.

The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.

The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.

To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.

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For the above function describing movie rental expenses, neither the input (6.5) nor the output ($17.50) are possible or reasonable.

The solution (6.5, $17.50) does not make sense for the function g(x) representing the amount of money spent on renting movies, where x is the number of movies.

The reason is that the input value, 6.5, does not make sense in the context of renting movies. The number of movies rented should be a whole number, not a decimal or fractional value. Therefore, the input is not feasible.

In addition, the output value, $17.50, does not make sense either. Typically, the cost of renting movies is given in whole dollar amounts. It is highly unlikely to have a rental cost of $17.50 for a movie marathon involving 6.5 movies. Therefore, the output is not feasible.

In conclusion, neither the input (6.5) nor the output ($17.50) is feasible or realistic for the given function representing movie rental expenses.

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We can see that the y-intercept would be (0,-16) since this is the result of replacing x=0 in the function.

We can also find the x-intercepts solving the equation 0=2x^2+4x-16. Doing so, we have:

The graph that satisfies the conditions we have found previously is the option A.

Answer:

c

Step-by-step explanation:

hoped it helped you:)))

Answer: B) (x - 5)(x + 4)

Step-by-step explanation:

we’re looking for x intercepts at x = 5 and x = -4

x - 5 = 0; x = 5

x + 4 = 0; x = -4

(x - 5)(x + 4) is your answer

Answer: 2500

Step-by-step explanation: If you calculate out 5x6 that equals 30 and 5x5-5 equals 20, when you do 30+20 that equals 50 and 50 to the 2nd power is 50x50 and that would equal 2500

Answer:

A Between 1.43 in. and 1.47 in.

Step-by-step explanation:

If the circumference is between 9 and 9.25 inches, and we know that circumference equals 2 * pi * radius, we can solve to find that the radius equals the circumference divided by 2pi. So we get between 1.43 in and 1.47in

The distance from the origin to the point (-15, 36) is 39 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Note: The origin is denoted by the coordinates (0, 0).

Substituting the given parameters into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(-15 - 0)² + (36 - 0)²]

Distance = √[15² + 36²]

Distance = √[225 + 1,296]

Distance = √1,521

Distance = 39 units.

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Answer:

x=1

Step-by-step explanation:

7x + 10 = 1/3 (12x - 3) +14x

First multiply by distrubuting 1/3 in parethesis

7x + 10 = 4x - 1 + 14x

Combine like terms, 14x and 4x

7x + 10 = 18x - 1

Isolate the X to one side by subtracting 7x from both sides

10 = 11x - 1

Add one to both sides

11 = 11x

Now divide by 11

x = 1

The interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

In this question we have an expression that combines polynomic and exponential expression, whose variable x cannot be cleared by analytical approaches, but by numerical and graphical methods. Herein we decide to find the interval by graphical methods, using a graphing tool:

First, write the function in explicit form (f(x) = 3 · x - eˣ). Second, find the two points such that the function goes through the x-axis (horizontal axis). Third, define the set of possible x-values by interval notation such that y > 0.

Then, the points of the function that are on the x-axis are (x₁, y₁) = (0.6191, 0) and (x₂, y₂) = (1.5121, 0). Then, the interval of the function f(x) = 3 · x - eˣ such that the function shall be positive is x ∈ (0.6191, 1.5121).

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Based on the given data, there is a 45% probability that the next packet Mariana pulls out of the box will have a flower pattern.

The area of mathematics known as probability is concerned with the analysis of random occurrences and the likelihood that they will occur. It is concerned with the theoretical estimation of an event's probability using predetermined premises or existing information. On the other hand, the area of mathematics known as statistics is concerned with the gathering, examination, interpretation, presentation, and organisation of data. It entails using mathematical and statistical techniques to examine data, come to conclusions, and make decisions in light of the findings.

Given that,

Number of flower packets = 5

Total number of packets = 11

Thus,

Probability of next packet being a flower = 5/11 ≈ 0.45 or 45%

Hence, based on the given data, there is a 45% probability that the next packet Mariana pulls out of the box will have a flower pattern.

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Answer: 5/11

Step-by-step explanation: i did this IXL and got it right

The equation that represents the cost, c, of n sets is c = 63.74n

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

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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The value of the minimum sample size required to estimate the population proportion is 438.

Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.

Given:

The margin of error, ME = 0.04,

The value of p = 0.12,

The confidence level =  99%,

Calculate the minimum sample size as shown below,

ME = z √[p(1 - p) / n]

Calculate the value of z from the table attached below considering the confidence level, z = 2.576,

0.04 = 2.576 √[0.12(1 - 0.12) / n]

Squaring both sides,

0.0016 = 6.636 × 0.12 × 0.88 / n

n = 0.7 / 0.0016

n = 437.9 or 438

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Have common denominators.

2/3

2/6 = 1/3

As we can see, 2/3 has one more third than 1/3

Therefore, 2/3 > 1/3

Best of Luck!

Answer:

2/3 is greater is 2/6

Step-by-step explanation:

Because

convert both to same denominator  

2/3 = 4/6

I multiply both my two

Then you see what is bigger

4/6 or 2/6 sooooooo 2/3 which is 4/6 is bigger.

The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)

For the first question:

The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.

The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.

Now, let's analyze the answer options:

A. A line passes through the point (0, 0) and continues through the point (3, 12).

This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.

B. A line passes through the point (0, 0) and continues through the point (2, 8).

This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).

C. A line passes through the point (0, 0) and continues through the point (6, 24).

This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.

D. A line passes through the point (0, 0) and continues through the point (12, 3).

This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).

Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.

For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?

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The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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