3) Solve 5(x + 3) - 3x = 55 for x. Use mathematical properties to justify each step in the process.

Step 1

Step 2

Step 3

Step 4

Step 5

Answers

Answer 1

solution

5(x+3)-3x=55

5x+15-3x=555x-3x+15=552x+15=552x=55-152x=402x/2=40/2x=20

Related Questions

The speed that a tsunami can travel is modeled by the equation s = 356 startroot d endroot , where s is the speed in kilometers per hour and d is the average depth of the water in kilometers. what is the approximate depth of water for a tsunami traveling at 200 kilometers per hour? 0.32 km 0.75 km 1.12 km 3.17 km

Answers

The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken.

The speed that a tsunami can travel is modeled by the equation

s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.

S = 356√d

200 = 356√d

√d = 200/356

= 0.5618

d = 0.5618^2

= 0.316 km

d = 0.32 km.

Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.

Learn more about speed;

https://brainly.com/question/4723349

Answer:

A its a

Step-by-step explanation:

edge 22

The cost of living in Seattle increases by 1.2% every year. If Noah spends $41,000 this year, how
much can he expect to spend 4 years from now to maintain the same standard of living? Roun
to the nearest dollar.

Answers

After 4 years noah would spend 42,968 dollars

I need help
Solve for x

Answers

Answer:

x = 21

Step-by-step explanation:

5x + 15 = 2x + 78

3x = 63

x = 21

Answer:

x = 21°

Step-by-step explanation:

As corresponding angles in parallel lines are equal,

5x + 15 = 2x + 78

And now let us solve for x.

5x + 15 = 2x + 78

5x + 15 - 2x = 78

3x + 15 = 78

3x = 78 - 15

3x = 63

Divide both sides by 3.

x = 21°

A jug contains 2 gallons of water how Amy quarts of water does the jug contain

Answers

The jug contains 8 quarts of water.

Solve 5x 1 = 2x2 9x. which are steps in the process of completing the square used to solve the equation? 1 = 2(x2 2x) 1 = 2x2 4x 2 = 2(x2 2x 1) 3 = 2(x 1)2 2 = 2(x 1)2

Answers

Steps to complete the square used to solve the equation were discussed.

The given quadratic equation is:

[tex]5x+1=2x^{2} +9x[/tex].....(1)

What is a quadratic equation?

Any equation of the form [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex] called a quadratic equation.

Rearranging the equation (1):

[tex]2x^{2} +9x-5x=1[/tex]

[tex]2x^{2} +4x=1[/tex]

[tex]2x^{2} +4x+2=1+2[/tex]

[tex]2x^{2} +4x+2=3[/tex]

[tex]2(x^{2} +2x+1)=3[/tex]

[tex]2(x+1)^2=3[/tex]........(2)

So, the required answer is equation (2).

Hence, steps in the process of completing the square used to solve the equation were discussed.

To get more about quadratic equations visit:

https://brainly.com/question/1214333

There were 15 zebras at the children’s zoo. There were 2 more monkeys than zebras. There were 5 less goats than monkeys. How many zebras , goats , and monkeys altogether?

Answers

Answer:

altogether there are 42 animals at the zoo

What does this mean pls help me I am gonna get a zero

Answers

Answer:

36 monkeys where sleeping

-4K2 – 8k – 3 =-3 – 5K2
Solve by factoring

Answers

Answer:

k = 0 or 8

Step-by-step explanation:

First, get the variables and constants on their side.

-4k^2 + 5k^2 - 8k = -3 + 3     Now simplify

k^2 - 8k = 0            Factor

k(k - 8) = 0          Solve

k = [0, 8]

If you want you can double check your answer by plugging in the values you got. First, 0.

0 - 0 - 3 = -3 - 0

-3 = -3. That works, so we know 0 is correct. Now 8

-4(64) - 8(8) - 3 = -3 - 5(64)

-256 - 64 - 3 = -3 - 320

-320 - 3 = -323

-323 = -323 That also works, so we know 8 is correct.

An example of a pendulum is the wrecking ball, which is sometimes used to tear down old buildings. The arm of a pendulum, in this case the ball, swings according to the formula: s= 2 pi sqrt l/32 where S is the amount of time, in seconds, for one full swing, and L is the length of the pendulum, in feet. If the wrecking ball is attached to the crane by a 50 ft cable, how long will it take for the wrecking ball to complete one full swing?

Answers

Answer:

v

Step-by-step explanation:

Which two intervals account for approximately 60% of Benji’s reading?
NO LINKS AND PLEASE HELP
WILL MARK THE BRAINLIEST

Answers

Intervals 20-29 and 30-39 are 60%. Good luck!!

ILL GIVE BRAINLIEST
Using pi as 3.14. what is the circumference of a circle with a radius of 3mm.

Answers

Answer:

18.8

Step-by-step explanation:

Radius=3mm=r

Circumference

2πr2π(3)6π18.8mm²

If you could body swap with any person for 24 hours, who would you choose?

Answers

Answer:

Chris evans

Step-by-step explanation:

Jason bought 405 berries in total to prepare for a breakfast party. He bought 8
times as many strawberries as blueberries.
How many of each berries did Jason buy?
Jason bought
strawberries and
blueberries

Answers

45 blueberries and 360 strawberries

help me pls i dont get it

Answers

Answer:

D.  w² + 6w

Step-by-step explanation:

If the length is 6 ft more than the width, then:

width = wlength = w + 6

Area of a rectangle = width × length

Substituting the given values:

⇒ Area of the garden = w(w + 6)

                                    = w² + 6w

is 2+6x^2-2x a polynomial yes or no

Answers

Answer:

yes

Step-by-step explanation:

yes

Each term is a number or a number multiplied by a one or more variables.

Yes it is a polynomial

The ratio of boys to girls in a math class 7:8. Which statement must be true about this math class?

Answers

Answer:

That there are more girls than boys in the class

Step-by-step explanation:

If there are any answer choices i may be able to help a little more but from the information you gave i came to this conclusion :) Hope this helps

help solve the problem​

Answers

Answer:

$3.15

Step-by-step explanation:

1 dryer: 500 W

6 dryers: 6 × 500 W = 3000 W × (1 kW / 1000 W) = 3 kW

Running 6 dryers for 1 hour: 3 kW × $0.15 kWh = $0.45

Running 6 dryers for 7 hours: $0.45 × 7 = $3.15

What does the "area" of a pizza mean?

Does it mean either "The entire amount of pizza that will be eaten" or "The amount of crust around the outside of the pizza"

Answers

Answer:

The area is the entire pizza

Step-by-step explanation:

Complete the table.
f(a) = -3a2 + 10
-1
0
1
2

Answers

-1 | 18
0 | 10
1 | 4
2 | -2

The function f(x)=2^x and g(x)=f(x)+k. if k=2, what can be concluded about the graph?


the graph of g(x) is shifted vertically...

The graph ig g(x) si shifted horizontally

Answers

Answer:

Its shifted verticlly 2 and to the left 2.

Step-by-step explanation:

Its verticlly because when it says 2^x its going up if it said -2^x it would go down.

It goes left because it is 2^x=? so if you put it on  the other side its negative which makes it to the left.

A company sells kayaks for $575. Each kayak costs them $480 to manufacture. Write a linear function that represents the profit generated from selling the manufactured kayaks.

Answers

A  linear function that represents the profit generated from selling the manufactured kayaks is P(x) = $575x - $480x.

What is the linear function that represents profit?

Profit is the total selling price of an item less the cost price.

Profit = selling price - cost price.

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2 The variable x is raised to the power of 1. 2 is the constant terms.

P(x) = $575x - $480x.

Where x represents the number of manufactured kayaks sold

To learn more about linear functions, please check: https://brainly.com/question/26434260

Discussion: Descriptive Statistics
Graded Discussion
Discussion Topic
People use data and statistics to help them make important policy decisions, to identify problems in an organization, and to predict outcomes. In this
unit, you studied various ways to analyze and represent data sets to determine how to best interpret the data. You also learned how to critically examine
the data and account for outside factors that may influence the patterns you see in the data.
Think about the many statistical scores or rankings you receive in school, such as GPA, SAT and ACT scores, test scores, and class ranking. Describe
the usefulness and limitations of these pieces of data in defining who you are as a person or as a student. In what ways do they help give a clear
picture? What are they not conveying?

Answers

The importance of descriptive statistics is that it provides basic information about the variables in a dataset.

What is a descriptive statistics?

A descriptive statistics simply means a description of the data set that are in a population.

Here, the importance of descriptive statistics is that it provides basic information about the variables in a dataset.

The limitation of descriptive statistics is that it only allows one to make summations about the objects measured.

Learn more about descriptive statistics on:

https://brainly.com/question/6990681

Which of the following is equivalent to ([tex]\sqrt[3]{x4}[/tex])[tex]x^{5}[/tex]

(hopefully i typed that in correctly )

A. x 12/5
B. x 15/4
C. x20/3
D. x^60

Answers

Answer:

15/4

Step-by-step explanation:

look it up on brainly

Give a rule for a transformation that would be a rigid motion. Explain why your transformation would be a rigid motion.​

Answers

Nee eeeeeeed thescbt pooooinnnnts

iouhsrjfopdjkdopcakwsodpfikapodsdjkfopaskdfopawjksdopf

Answers

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Cleveland and his family are on a road trip. If they have traveled 1/2 of the total distance in the past 4 days, what fraction of the total distance did when they travel per day?

Answers

Answer:

1/8

Step-by-step explanation:

Anthony buys 3 lb of oranges and 1 lb of cherries. Katie buys 2 lb of oranges and 2 lb of cherries. Oranges cost d dollars per pound, and cherries cost c dollars per pound . Write and expression with exactly two terms for the total cost of the fruit Anthony and Katie buy. Show your work.

Answers

Answer:

5d + 3c = x

Step by step explanation:

5 oranges so 5d

3 cherries so 3c

Are 2b + b and 3b equivalent expressions?

Answers

Yes , these expressions are equivalent.
Moreover , they are equal too since on adding " 2b and b " we get 3b which is the other expression.

Answer:

the answer is yes

Step-by-step explanation:

yes it is an equivalent expression because 2b+b and 3b have the same value and length or numerator which equals yes.

A model that has 4 points and 6 lines containing exactly two points

Answers

Answer:

4=point

6=line

4+6=10

the answer is 10

What is the radius of a circle whose equation is x2 y2 8x−6y 21=0? 2 units 3 units 4 units 5 units

Answers

The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as

x² + y² + 8x − 6y + 21 = 0

The equation can be written as

x² + 8x + 16 + y² − 6y 9 = 4

(x + 4)² + (y − 3)² = 2²

Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer: ^ TDLR : 2 units / A

Step-by-step explanation:

edge 2023 x3

Other Questions
-1/5 (-2 1/4) = what is it? Where does the energy generated by hydroelectric dams come from? A. Earth's internal heatB. Fossil fuelsC. Flowing waterD. Fission reactions Forecasting the demand for labor How will you utilize your education and experiences to make your community a more equal, inclusive place for all people?. Which of these anthropoid groups consists of primates who are mostly tree dwellers and whose forelimbs and hind limbs are about equal in length?. What is the solution to the system of equations? 4x+y=5 x-2y=6O(2,-2)O (-2,2)O (1/2,4) A single stem rose is $3.99. What would be the price of 36 roses? What material is too important to ever leave the nucleus? A. DNA B. Protein. C. Ribosomes D. Chromosomes I NEED HELP!!! ASAP!!! I HAVE NO CLUE WHAT TO DO!! 95 PTS!!!Step 1: Research and MacronutrientsResearch the nutritional needs of the following two men:Male 1: 30-year-old male, long-distance runner who weighs 140 lbs. and has a body fat percentage of 20 percent. He is 510 tall.Male 2: 30-year-old male, works a desk job all day. He is sedentary and the only exercise he gets is a short walk once a week. He weighs 190 lbs. and his body fat percentage is 30 percent. He is also 510 tall.Based on your research, use your best judgment to estimate the following nutritional requirements for each man. Record your information on the provided sheet.Daily caloric needsDaily intake of macronutrients: protein, fat, carbohydrates (in grams)Daily water intake (in cups)Any recommended micronutrients or supplements (optional)Step 2: GraphCreate a bar graph comparing the daily nutritional needs of each man. See example below for reference. Note: The following graph is merely an example on how to design your graph; the data included is not relevant.You may create your graph by hand on paper or poster board, use a slide presentation program, or a word processing program. Step 3: Statistical InformationUsing the provided Statistics Recording Form, record your answers for each of the following:Find the combined mean of the two mens daily macronutrients (remember macronutrients include proteins, fat, and carbohydrates). Use the following formula:Male 1 protein + fat + carbohydrates + Male 2 protein + fat + carbohydrates = XX 6 = MeanFind the combined median of the two mens daily macronutrients. Use the following formula:Take all numbers (Male 1 & Male 2 protein, fat, carbohydrates) and arrange from least to greatest.Take the two numbers in the middle (the 3rd and 4th number) and add them together, then divide by 2. The answer is your median.Find the combined mode of the two mens daily macronutrients. Use the following formula:Arrange all numbers (Male 1 & Male 2 protein, fat, carbohydrates) in numerical order. The number that appears most frequently is the mode. If no number is repeated, then there is no mode.Find the combined interquartile range of the two mens macronutrients. To do this, use the following instructions:Arrange all numbers (Male 1 & Male 2 protein, fat, and carbohydrates) in numerical order so you have two data sets.Find the median of each data set (i.e. for the lower and upper halves of your data set).Subtract the median of the lower set from the higher set to find the IQR, or interquartile range.Find the combined standard deviation of the two mens macronutrients. To do this, use the following instructions:Take the average of the mens macronutrients.From each macronutrient (Male 1 & Male 2s protein, fat, and carbohydrates) subtract the mean and square the difference (for example, protein average of macronutrients = x2)Find the average of all of the squared numbers (i.e. the average of all of the numbers you found in Step 2).Find the square root of the average of the squared numbers (i.e. the square root of the number you found in Step 3). This answer is your standard deviation.Step 4: Sample Meal Plan for 1 DayCreate a sample meal plan for one complete day for each man. Your plan should clearly depict what each man will eat throughout the day, including amounts. This plan should be created with their individual nutritional needs in mind.Be sure that the amount of calories, proteins, fats, carbohydrates, and water each man receives from their daily meal plan aligns with your research regarding their ideal nutritional requirements. You may use the included template or create your own in a word processing document, slide show presentation, or hand-created document.Step 5: Summarizing ParagraphTo conclude this activity, you will write (at least) one paragraph that includes:A brief explanation regarding why you chose the types and amounts of foods that you selected for each man.Analyze and compare how each meal plan and each mans nutritional needs are similar and different.Discuss how this weeklong plan could translate into a long-term personal health plan.Step 6: Submit your WorkSubmit your Graph, Research Recording Form, Statistics Recording Form, and Paragraph here. Silas is a making a wildflower meadow with the dimensions shown. He plans to cover the entire meadow with a wildflower seed mix. One bag of wildflower seed mix covers 22 square yards and costs $12.79. How much will Silas spend on the wildflower seed mix? what is the cost? can someone pls help me answer this question? hurry. Why were theories of racial superiority significant in the south?. Find the value of x in the equilateral triangle. 3 in Factor 6y^2(y^2+6y+9) completely. what happened around 2.5 billion years ago that lead to a tremendous increase in the amount of oxygen in earths atmosphere? will make brainliest help please. Which president signed the alien and sedition acts. please answer 2 1/3 meters by 1 5/6 what is the area If sin^2 x - 2 sin x = 1, then sin x = f(x) = -2(3)^ x-2Complete the following statements about f(x).The y-intercept of f(x) isThe x-intercept of f(x) is_The end behavior of f(x) is -f(3) =f(4) =