5 miles=8km how many miles in 80km

Answers

Answer 1

Answer: 5miles/8km = xmiles/80km

8x=400

x=50

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What is the correct reason for statement 3?Prove: (2y) ∙ 4 + y = 9y

Statements Reasons
1. (2y) ∙ 4 + y 1. Given
2. 4 ∙ (2y) + y 2. Commutative Property
3. (4 ∙ 2) ∙ y + y 3.
4. 8y + y 4. Commutative Property
5. 9y 5. Addition

Multiplication

Distributive Property

Addition

Associative Property

.

1 points

Question 3

Answers

The answer would be Associative Property.

Hope this helps you =)

What is the value of n in the equation: 8n + 9 = -n +5

Answers

Answer:

n = -4/9

Step-by-step explanation:

8n + 9 = -n +5

Add n to each side

8n+n + 9 = -n+n +5

9n +9 = 5

Subtract 9 from each side

9n+9 - 9 = 5-9

9n /9 = -4/9

Divide each side by 9

n = -4/9

2. What is the area of a square computer screen with 21-in. sides? A. 220 sq. in. B. 42 sq. in. C. 441 sq. in. D. 84 sq. in

Answers

The area of a square is l^2=A because the length and width are the same length. So this would be 21^2 or 21*21. Your answer will be 441in^2.

THE ANSWER IS C: 441 SQ IN..............
GOOD LUCK

Michael works at a furniture store. He makes a commission for every piece of furniture he sells. He sold a couch for $1245 and received a check for $62.25. What was the % of commission he made? A. 5% B. 6% C. 7% D. 8%

Answers

Answer: A, 5%

Step-by-step explanation: First set up an equation to solve this: $(62.25)/(1245) =(x)/(100)$
Next, you cross-multiply, simplifying the equation to: $1245x=6225$

Now you isolate the x by dividing both sides by 1245 giving you: $x=5$

Hope this helped

Kara is sorting buttons by lengths for a craft project.The line plot shows the length of each button.If Kara lines up all the 3/4-inche buttons,what would be the total length

Answers

Answer:

$2(1)/(4) inches.$

Step-by-step explanation:

Hi,

We see the plot line below, which shows that three crosses above $(3)/(4) - inch$ buttons, that means we have three such buttons available with us.

To find their total lengths, we have two methods:

We can add the lengths of all buttons, that means add $(3)/(4)$ thrice

Or simply multiply $(3)/(4)$ by three.

$(3)/(4) * 3\n = (3 * 3)/(4)\n= (9)/(4)$

changing this improper fraction into a mixed fraction: $2(1)/(4) inches.$ will be the total length of three buttons lined up.

The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building? I know it involves trig, but after an hour of thought i give up on guessing.

Answers

The required height of the building is 53.31 feet.

What is a right angle triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any angle is a right angle.

Given that,

Angle of elevation from the first car A to the top of the apartment building = 48 degrees,

Angle of elevation from the second car B to the top of the apartment building = 64 degrees.

Also, car B is 22 feet above the car A.

Let the height of the building is h feet.

And distance from the car B to the building is x feet.

Use formula of tan θ,

tan 64 = h / x

2.050 = h/x

x = h / 2.050 (1)

And tan 48 = h / x + 22
1.1106 = h / x+ 22 (2)

By solving equation (1) and (2)

1.1106 = h / (h/2.050 + 22)

1.1106 = 2.050h / h + 45.1

1.1106h + 50.08 = 2.050h

0.9394 h = 50.08

h = 53.31

The height of the building is 53.31 feet.

To know more about Triangle on :

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To the StudentContents: Members of the PEAMathematics Department have written the materialin this book. As youwork through it, you will discover that algebra, geometry, andtrigonometry havebeen integrated into a mathematical whole. There is no Chapter 5, noris there a section ontangents to circles. The curriculum is problem-centered, rather thantopic-centered.Techniques and theorems will become apparent as you work through theproblems, and youwill need to keep appropriate notes for your records — there are noboxes containingimportant theorems. There is no index as such, but the reference sectionthat starts on page201 should help you recall the meanings of key words that are definedin the problems(where they usually appear italicized).Comments onproblem-solving: You should approacheach problem as an exploration.Reading each questioncarefully is essential, especially since definitions, highlighted initalics, areroutinely inserted into the problem texts. It is important to make accuratediagrams wheneverappropriate. Useful strategies to keep in mind are: create an easierproblem, guess andcheck, work backwards, and recall a similar problem. It is importantthat you work on eachproblem when assigned, since the questions you may have about aproblem will likelymotivate class discussion the next day.Problem-solvingrequires persistence as much as it requires ingenuity. When you get stuck,or solve a problemincorrectly, back up and start over. Keep in mind that you’re probablynot the only one whois stuck, and that may even include your teacher. If you have takenthe time to thinkabout a problem, you should bring to class a written record of yourefforts, not just ablank space in your notebook. The methods that you use to solve aproblem, thecorrections that you make in your approach, the means by which you testthe validity of yoursolutions, and your ability to communicate ideas are just as importantas getting thecorrect answer.About technology: Many of theproblems in this book require the use of technology(graphing calculatorsor computer software) in order to solve them. Moreover, you areencouraged to usetechnology to explore, and to formulate and test conjectures. Keepthe followingguidelines in mind: write before you calculate, so that you will have a clearrecord of what youhave done; store intermediate answers in your calculator for later use inyour solution; payattention to the degree of accuracy requested; refer to your calculator’smanual when needed;and be prepared to explain your method to your classmates. Also,if you are asked to“graphy= (2x−3)=(x+ 1)”, for instance,the expectation is that,although you mightuse your calculator to generate a picture of the curve, you shouldsketch that picture in your notebook oron the board, with correctly scaled axes.

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

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