Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.

Answer:

-1/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

46

Step-by-step explanation:

Answer:

46

According to question,

10% × x = 20

x = 20 ÷ 10%

x = 20 ÷ 0.1

x = 200

Now find 23% of x

23% × 200

0.23 × 200

46

Answer:

= 2+10²× 1

= 2+(10*10)× 1

= 2+100×1

= 2+100

=102

Answer: 102

Step-by-step explanation: 2+(10^2)(1)

2+(100)(1)

2+100

102

The dimensions of the room are approximately 5.87 meters by 7.63 meters.

Let's assume the width of the room is "x" meters.

According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.

Perimeter = 2(length + width)

Substituting the values we know:

27 = 2(1.3x + x)

Simplifying:

27 = 2(2.3x)

27 = 4.6x

Dividing both sides by 4.6:

x = 27 / 4.6

x ≈ 5.87

The width of the room is approximately 5.87 meters.

To find the length, we can multiply the width by 1.3:

Length = 1.3 * 5.87 ≈ 7.63

The length of the room is approximately 7.63 meters.

Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.

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From the given probability distribution, the probability of x being 4 in the given probability distribution is 0.15,

According to the given probability distribution in Table 1, the probability of x being 4 is 0.15. This means that out of all the possible values of x (0 to 6), there is a 15% chance that x will be equal to 4.

To understand the probability distribution better, we can visualize it using a graph. The x-axis represents the possible values of x, while the y-axis represents the probability of each value. We can plot the values from Table 1 to create a histogram or a bar graph.

From the graph, we can see that the probability distribution is skewed to the right, with the highest probability being at x=2. This means that there is a higher chance that x will be closer to 2 than to 0 or 6.

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We can buy more matinee ticket with $63

Explain what algebra is.

The area of mathematics known as algebra uses alphabetical letters to locate unknown integers. Variables are another name for these letters. Constants are known values, such as numbers, that appear in the provided phrase. Students will master the fundamentals of algebra at the potential level in higher classes.

Given that:

There are two type of ticket available

Matinee = $7

Evening ticket = $9

Now with $63

Number of matinee ticket that can be bought = 63/7 = 9

Number of evening ticket that can be bought = 63/9 = 7

Therefor we can buy more matinee ticket with $63

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Using the relative frequency concept, it is found that the data value of 2 occurs with a frequency of 4.

What is a relative frequency?

\(r_f = \frac{D}{T}\)

In this problem:

Then:

\(r_f = \frac{D}{T}\)

\(0.16 = \frac{D}{25}\)

\(D = 0.16(25)\)

\(D = 4\)

The data value of 2 occurs with a frequency of 4.

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The domain of the function is all real numbers and the range is y ≥ -1.

What is domain of a function?

The set or grouping of all potential values that may be used in the function is known as the domain.

We are given a graph of a quadratic function with vertex (-2,-1).

The domain of the function is all real numbers as for every value of x, we will get a real and distinct value for y.

The range of the given function is y ≥ -1 because the parabola is facing upwards and therefore, y can not have a negative value other than those greater than or equal to -1.

Hence, the domain of the function is all real numbers and the range is

y ≥ -1.

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Answer:

Each book cost $3.55

Step-by-step explanation:

Answer:

5 per comic book and 12 per computer game hope this helps.

Answer:

Step-by-step explanation:

8x + 3y = 76

x  + 3y = 41

8x + 3y = 76

-x - 3y = -41

7x = 35

x = $5 comic book

3y + 5 = 41

3y = 36

y = $12 computer game

Answer:

2

Step-by-step explanation:

You'll need to find the reciprocal of m. -1/4 is your is your m and when you find the reciprocal you flip the number to 4/1 or 4 and change the negative to a positive. Then graph (4,11), you don't need to worry about your y intercept, b, or -1. On your graph go down 4 and over one to the left because it's positive the line should be going like " / "  <-- that. Keep going down until your y is three and whatever your x is, is your answer. Ex: (4,11) (3,7) (2,3). Hopefully, you understand :)

Using the concept of the word problem and utilizing the provided conditions and values, The answer is 18, 20, and 22.

A word problem in mathematics is a problem or exercise that is expressed in a natural language, rather than in mathematical notation. These types of problems often present a real-world situation that involves mathematical concepts, such as numbers, operations, or measurements. They typically require the use of mathematical reasoning and problem-solving skills to understand the problem and find a solution. Examples of word problems include: "If a train travels 60 miles per hour and you want to know how far it will travel in 4 hours", "If a rectangle is 6 meters long and 4 meters wide, what is its area?", "If a bag contains 3 red balls and 4 blue balls, what is the probability of picking a blue ball?"

In a mathematical problem, the conditions refer to the specific information or constraints provided in the problem statement that must be taken into account in order to find a solution. These conditions can include information about the quantities involved in the problem, the operations that need to be performed, or the specific requirements that the solution must meet.

Let x be the smallest of the three consecutive even integers. Then the next two integers are x+2 and x+4. We know that:

x + (x+4) * 3 = 84

Expanding and solving for x:

x + 3x + 12 = 84

4x = 72

x = 18

So the three consecutive even integers are 18, 20, and 22.

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29/2 ÷ 5/4

2/29 × 5/4

To get your answer its just a matter of understanding the question, they are asking you to find how many 1¼ gallons of water can fit in a tank that can hold 14½ gallons of water so, to find the answer we need to divide 14½ by 1¼ ( these fractions are mixed numbers so, you need to change them into improper fraction)

Now when dividing the fractions you always invert the fraction on the left side and the division sign turns into a multiplication sign...

29/2÷5/4 = 2/29×5/4.

Answer:

b i think because 50 minus 9.99 then 1.29 will be less than cuz it cant go over

Answer:

Step-by-step explanation:

Answer:

The expression 3+4x2 can be simplified using the order of operations, which is a set of rules used to determine the sequence in which operations are performed in an expression. According to the order of operations, we first perform any calculations inside parentheses, then we perform any multiplications or divisions (from left to right), and finally we perform any additions or subtractions (from left to right).

There are no parentheses in this expression, so we move on to the next step, which is to perform any multiplications or divisions. In this case, we have 4x2, which equals 8. So, we can replace 4x2 with 8, and the expression becomes:

3+8

Finally, we perform the addition, and get the final result:

11

Therefore, 3+4x2 is equal to 11.

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

When you find the "quotient" of something, you just use division.

Image provided below as proof.

Hope this helps and have a nice day!

From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.

As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

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From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Who is Helen Keller?

Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.

As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Answer:

\(\huge\boxed{\sf x = 9}\)

Step-by-step explanation:

3(x + 4) - 11 = 28

3(x + 4) = 28 + 11

3(x + 4) = 39

3x + 12 = 39

3x = 39 - 12

3x = 27

x = 27/3

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

The solution of the expression is,

⇒ x = - 1 and x = 5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Solve the expression,

x² – 3x − 2 = x + 3

Now, We can simplify as;

x² – 3x − 2 = x + 3

x² – 3x − 2 - x - 3 = 0

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x (x - 5) + 1(x - 5) = 0

(x + 1) (x - 5) = 0

x = - 1

x = 5

Thus, The solution of the expression is,

⇒ x = - 1 and x = 5

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Ciana should purchase the skirt at the store across town because the total economic cost will be lowest.

Ciana makes $30 per hour at her work, and her purchase decision includes the opportunity cost of lost wages:

Total economic cost:

Local store = $114 + [1/4 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $144

Across town = $86 + [1/2 hours x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $131

Neighboring city = $60 + [1 hour x 2 (round trip) x $30] + (1/2 hours x $30 spent shopping) = $135

Ciana should buy a skirt at the store across town. Because it has the lowest total economic cost ($131).

Opportunity cost is the lost benefit or additional cost of choosing one activity or investment over another. Economic costs include both accounting costs and opportunity costs.  

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The parametric equations are mathematically given as

(x(t), y(t), z(t))= (2-4t, 1-t, t)

Generally, To express the parametric point from A (2,1,0) to B(-2,0,1) in parametric form, we can use the following equation:

P(t) = (2-4t, 1-t, t)

To find the parametric equations for a point moving from A to B, we can use the following formula:

x = x₁ + t(x₂ - x1)

y = y₁ + t(y₂ - y₁)

z = z₁ + t(z₂ - z₁)

Where (x₁, y₁, z₁) is the starting point (A), (x₂, y₂, z₂) is the ending point (B), and t is a parameter that varies from 0 to 1.

Using this formula, the parametric equations for a point moving from A (2,1,0) to B(-2,0,1) are:

x = 2 + t(-2 - 2)

= 2 - 4t

y = 1 + t(0 - 1)

= 1 - t

z = 0 + t(1 - 0)

= t

These equations describe the motion of a point that starts at A, moves along the line segment from A to B, and arrives at B when t = 1.

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The complete Question was found

Find parametric equations for the line. (Use the parameter t.)

The line through points A (2,1,0) to B(-2,0,1)

(x(t), y(t), z(t))= \((\square)\)

Answer:

it's C

All the graphs except C crosses the x axis at the roots but C doesn't

The answer is: Pm= pm/n

Tamika Clark's total travel expense this month is $362.90.

Given that the supervisor for the county is Tamika Clark.

Every month, she makes the trip to the three schools in her district.

Her travel costs for this month include 246 miles at a cost of $0.55 per mile, $180.70 for meals, and $46.10 for other expenses.

We must determine the whole cost of her.

To calculate Tamika Clark's total travel expenses this month, we need to add up her expenses for miles traveled, meals, and miscellaneous items.

Miles traveled:

246 miles x $0.55 per mile = $135.30

Meals: $180.70

Miscellaneous: $46.90

Total travel expenses:

$135.30 (miles traveled) + $180.70 (meals) + $46.90 (miscellaneous) = $362.90

Therefore, Tamika Clark's total travel expense this month is $362.90.

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Answer:

The proportion of borrowers who owe more than 54,000 is 0%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Researchers found that the average student loan balance per borrower is $23,300.

This means that \(\mu = 23300\)

They also reported that about one-quarter of borrowers owe more than $28,000.

This means that the 1 subtracted by the p-value of Z is 0.25 when X = 28000, that is, when X = 28000, Z has a p-value of 0.75, so when X = 28000, Z = 0.675. We use this to find \(\sigma\)

\(Z = \frac{X - \mu}{\sigma}\)

\(0.675 = \frac{28000 - 23300}{\sigma}\)

\(0.675\sigma = 4700\)

\(\sigma = \frac{4700}{0.675}\)

\(\sigma = 6963\)

Estimate the proportion of borrowers who owe more than 54,000.

This is 1 subtracted by the p-value of Z when X = 54000. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{54000 - 23300}{6963}\)

\(Z = 4.41\)

\(Z = 4.41\) has a p-value of 1

1 - 1 = 0

The proportion of borrowers who owe more than 54,000 is 0%.

Answer:

46.8 cm²

Step-by-step explanation:

The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).

The area of the rectangle is \((6)(10)=60\) cm².

Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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