You start at (6,7) and move 5 units right and 4 units up.


Plz help me

Answer:

- sqaure root 7-3, sqaure root 7-3

Step-by-step explanation:

See Image below:)

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

4x + 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Define

4(x + 3)

Step 2: Expand

Answer:

\( \huge4(x + 3) = 4x + 12\)

Answer:

y=  −5 /2 x+5

Step-by-step explanation:

Let's solve for y.

5x+2y=10

Step 1: Add -5x to both sides.

5x+2y+−5x=10+−5x

2y=−5x+10

Step 2: Divide both sides by 2.

2y /2 = −5x+10 /2

y= −5 /2 x+5

The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

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Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

The mean is approximately 9, the median is 9, the mode is 8, and the range is 7.

To find the mean, we add up all the numbers in the data set and divide by the total number of numbers:

Mean = (7 + 6 + 8 + 12 + 9 + 13 + 8) / 7 = 63 / 7 ≈ 9

So the mean is approximately 9.

To find the median, we need to arrange the numbers in order from smallest to largest:

6, 7, 8, 8, 9, 12, 13

Since there are an odd number of values in the data set, the median is the middle value, which is 9.

To find the mode, we need to look for the value that occurs most frequently in the data set. In this case, 8 occurs twice, which is more than any other value, so the mode is 8.

To find the range, we need to subtract the smallest value from the largest value:

Range = largest value - smallest value = 13 - 6 = 7

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Answer:

plus (+)

Step-by-step explanation:

Assume there is a number such as 1 after the minus:

\( - 1 + ( - 1) = - 2\)

Thus - (+) - = +, since they add the minuses.

Using it's concept, the percentage of employees with 8 or more years at the company reported that email is their preferred method of communication is:

D. 44.79%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

P = a/b x 100%

In this problem, there are 96 employees with 8 or more years of experience, of which 43 prefer email, hence the percentage is:

P = 43/96 x 100% = 44.79%.

Hence option D is correct.

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The graph that shows a proportional relationship between x and y is given as follows:

Graph D.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

From the equation y = kx we have that it is a linear function with intercept of zero, meaning that the graph D represents the proportional relationship for this problem.

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Answer:

Step-by-step explanation:

\(3 \log_{a} (2x+1)=\log_{a}(2x+1)^{3}\)

\(2 \log_{a}(2x-1)=\log_{a}(2x-1)^{2}\)

\(2=\log_{a}(a^{2})\)

So the expression can be expressed as a single logarithm as follows:

\(3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}(2x+1)^{3}-\log_{a}(2x-1)^{2}+\log_{a}a^{2}\)

\(3\log_{a}(2x+1)-2\log_{a}(2x-1)+2=\log_{a}\left(\frac{(2x+1)^{3}a^{2}}{(2x-1)^{2}}\right)\)

Answer:

o to http://

Step-by-step explanation:

The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Answer:

  an infinitely long time

Step-by-step explanation:

You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.

The kitten runs slower than the puppy, so can never catch up to it.

<95141404393>

Answer: 31.7

Step-by-step explanation:

Do 16 plus 15.7 is 31.7 you added wrong.

Answer:

\(31.7\)

Step-by-step explanation:

The perimeter is the line forming the boundary of the figure.

Combining the two curved parts of the perimeter we obtain a circle with a diameter of 5 in. The perimeter (P) of a circle is calculated as follows:

\(P=\pi D\)

where D is the diameter. Then, the perimeter of the curved part is found replacing D = 5 in, as follows:

\(P^{1} =\pi~ .~5\\\)

\(P^{1} = 15.7~ in\)

To find the perimeter of the whole figure we need to add the two straight segments of length 8 in, that is,

\(P=15.7+8+8\\P=31.7\)

Hence the Answer is 31.7

i) the original distance when the lighthouse is due West of the ship is 7 km

ii) The time in minutes when the lighthouse is due West of the ship is 21 minutes

iii) The distance in km of the ship from the lighthouse when the lighthouse is due West of the ship is 29.97 km

To solve this problem, we'll use the concepts of relative velocity and trigonometry. Let's break down the problem into three parts:

i) Finding the original distance when the lighthouse is due West of the ship:

The ship's velocity is given as 21 km/h at a bearing of 052°. Since the ship observed the lighthouse due North, we know that the angle between the ship's initial heading and the lighthouse is 90°.

To find the distance, we'll consider the ship's velocity in the North direction only. Using trigonometry, we can determine the distance as follows:

Distance = Velocity * Time = 21 km/h * (20 min / 60 min/h) = 7 km (to three significant figures).

ii) Finding the time in minutes when the lighthouse is due West of the ship:

To find the time, we need to consider the change in angle from 052° to 312°. The difference is 260° (312° - 052°), but we need to convert it to radians for calculations. 260° is equal to 260 * π / 180 radians. The ship's velocity in the West direction can be calculated as:

Velocity in West direction = Velocity * cos(angle) = 21 km/h * cos(260 * π / 180) ≈ -19.98 km/h (negative because it's in the opposite direction).

To find the time, we can use the formula:

Time = Distance / Velocity = 7 km / (19.98 km/h) = 0.35 h = 0.35 * 60 min = 21 minutes (to three significant figures).

iii) Finding the distance in km of the ship from the lighthouse when the lighthouse is due West of the ship:

We can use the formula for relative velocity to find the distance:

Relative Velocity = sqrt((Velocity in North direction)² + (Velocity in West direction)²)

Using the values we calculated earlier, we have:

Relative Velocity = sqrt((21 km/h)² + (-19.98 km/h)²) ≈ 29.97 km/h (to three significant figures).

Therefore, the ship is approximately 29.97 km away from the lighthouse when the lighthouse is due West of the ship.

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Answer:

Th computed value of the test statistic is 3.597

Step-by-step explanation:

The null and the alternative hypothesis is as follows:

Null Hypothesis:

\(\mathbf{H_o:}\) the population correlation coefficient is equal to zero

\(\mathbf{H_a:}\) the population correlation coefficient is not equal to zero

The test statistics for Pearson correlation coefficient is thus computed as :

\(t =\dfrac{r \sqrt{(n-2)}} { \sqrt{(1-(r)^2)} }\)

where;

r = correlation coefficient = 0.60

n = sample size = 25

So;

\(t =\dfrac{0.60 \sqrt{(25-2)}} { \sqrt{(1-(0.60)^2)} }\)

\(t =\dfrac{0.60 \sqrt{(23)}} { \sqrt{(1-0.36} }\)

\(t =\dfrac{0.60 *4.796} {0.8}\)

t = 3.597

Comparing to a critical value of t (23 degrees of freedom two-tailed value) = 2.069

Decision Rule:

Since computed value of t is greater than the critical value of t; We reject the null hypothesis and accept the alternative hypothesis.

Conclusion:

We conclude that the population correlation coefficient significantly differs from 0 at 5% (0.05) level of significance.

Answer:

Aircraft A: 403 seats

Aircraft B: 298 seats

Step-by-step explanation:

Let's x represent the seats in Aircraft B

We have the equations:

Aircraft A: (x + 105)

Aircraft B: x

We Know

Their total number of seats is 701; find the number of seats for each aircraft.

We Take

x + (x + 105) = 701

2x + 105 = 701

2x = 596

x = 298 seats

So, there are 298 seats in Aircraft B

Aircraft A has how many seats?

We Take

701 - 298 = 403 seats

So, there are 403 seats in Aircraft A

Final Answers:

Aircraft A: 403 seats

Aircraft B: 298 seats

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Answer:

\(P(Canada\ or\ Mexico)= 23\%\)

Step-by-step explanation:

Given

\(P(Canada) = 18\%\)

\(P(Mexico) = 9\%\)

\(P(Both) = 4\%\)

Required

Determine \(P(Canada\ or\ Mexico)\)

In probability:

\(P(A\ or\ B) = P(A) + P(B) - P(Both)\)

In this case:

\(P(Canada\ or\ Mexico)= P(Canada) + P(Mexico) - P(Both)\)

Substitute values:

\(P(Canada\ or\ Mexico)= 18\% + 9\% - 4\%\)

\(P(Canada\ or\ Mexico)= 23\%\)

Hence, the required probability is 23%

Emma is planning to cut 5 pieces of yarn and she should make each piece 7 inches long.

The acts of simplifying something to make it simpler to perform or comprehend, or the item that is simplified: The group offers guidance on streamlining trade processes.

Given, Emma is using this bar model to plan to cut 35 inches of yarn into equal pieces. As we can see in the picture she is planning to cut 5 pieces

Size of each  yarn  = 35/5 = 7

Therefore, Emma intends to cut five pieces of yarn, each measuring seven inches.

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Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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\(\bold{\huge{\underline{ Solution \:1}}}\)

Here, We have given

Let assume the given triangle as ΔABC and ΔXYZ

According to the similarity theorem

Therefore, By using above theorem :-

\(\sf{\dfrac{ A}{X}}{\sf{=}}{\sf{\dfrac{ B}{Y}}}{\sf{=}}{\sf{\dfrac{ C}{Z}}}\)

Subsitute the required values

\(\sf{\dfrac{ 8}{10}}{\sf{=}}{\sf{\dfrac{ 15 }{Y}}}{\sf{=}}{\sf{\dfrac{18}{Z}}}\)

For other two sides of another similar triangle

\(\sf{\dfrac{ 8 }{10}}{\sf{=}}{\sf{\dfrac{ 15}{Y}}}\)

\(\sf{Y =15}{\sf{\times{\dfrac{ 10}{8}}}}\)

\(\sf{Y =15}{\sf{\times{\dfrac{ 5}{4}}}}\)

\(\sf{Y = }{\sf{\dfrac{ 75}{4}}}\)

\(\bold{Y = 18.75 }\)

And,

\(\sf{\dfrac{ 8 }{10}}{\sf{=}}{\sf{\dfrac{ 18}{Z}}}\)

\(\sf{Z =18 }{\sf{\times{\dfrac{ 10}{8}}}}\)

\(\sf{Z =18}{\sf{\times{\dfrac{ 5}{4}}}}\)

\(\sf{Z = }{\sf{\dfrac{ 90}{4}}}\)

\(\bold{Z = 22.5 }\)

Hence, The two sides of the another similar triangle is 18.75 and 22.5

\(\bold{\huge{\underline{ Solution \:2}}}\)

Here, We have

Let assume the two triangle be ΔABC and ΔPQR

According to the similarity theorem :-

That is,

\(\sf{\dfrac{ A}{P}}{\sf{=}}{\sf{\dfrac{ B}{Q}}}{\sf{=}}{\sf{\dfrac{ C}{R}}}\)

Subsitute the required values,

\(\sf{\dfrac{4 }{5}}{\sf{=}}{\sf{\dfrac{ 12}{15}}}{\sf{=}}{\sf{\dfrac{ 20 }{25}}}\)

\(\sf{\dfrac{4 }{5}}{\sf{=}}{\sf{\cancel{\dfrac{ 12}{15}}}}{\sf{=}}{\sf{\cancel{\dfrac{ 20 }{25}}}}\)

\(\bold{\dfrac{4 }{5}}{\sf{=}}{\bold{\dfrac{ 4}{5}}}{\sf{=}}{\bold{\dfrac{ 4 }{5}}}\)

Hence, The scale factor of the given similar triangles is 4/5

\(\bold{\huge{\underline{ Solution \: 3}}}\)

Here, we have given that

But,

Therefore,

According to the scale factor

The actual distance will be

\(\sf{=}{\sf{\dfrac{ 12 }{0.5}}}\)

\(\bold{ = 24 \: km }\)

Hence, The map distance corresponds to actual distance of 12 km is 24 km.

#3 Answer:

The other sides are 18.75 and 22.5

#3 Step-by-step explanation:

Because of the similar triangle

So, \(\frac{8}{10}=\frac{15}{x}=\frac{18}{y}\)               \(\left\{The\ corresponding\ sides\ are\ proportional\right\}\)

\(x=18.75,\ y=22.5\)

#4 Answer:

4:5

#4 Step-by-step explanation:

\(\frac{4}{5}=\frac{12}{15}=\frac{20}{25}=\frac{6}{5}\)

\(So\ the\ scale\ factor\ is\ 4:5\)

#5 Answer:

24 cm

#5 Step-by-step explanation:

\(12\div0.5\)

Calculate

\(\frac{12}{0.5}\)

Multiply both the numerator and denominator with the same integer

\(\frac{120}{5}\)

Cross out the common factor

24

I hope this helps you

:)

The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

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Answer:

14 is the correct answer

Answer:

x=14

Step-by-step explanation:

The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

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Answer:

43°

Step-by-step explanation:

supplementary angles sum to 180° , then

second angle + 137° = 180° ( subtract 137° from both sides )

second angle = 43°

Answer:a

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer: Same. eeeeeeeeeeeeeeeeeeeeeeeeek