A florist has 36 tulips and 21 carnations. If the florist wants to create identical bouquetswithout any leftover flowers, what is the greatest number of bouquets the florist can make?

Answers

Answer 1
Answer:

Answer:

3

Step-by-step explanation:

21 can be divided by 3 also 36

Answer 2
Answer:

Answer:

3 bouquets

Step-by-step explanation:

Both numbers are divisible by 3, so after division we have 3 groups of 7 carnations, and 3 groups of 12 tulips. 7 is no longer divisible, so if the desire is an even bouquet then we can only make 3 bouquets of 7 carnations and 12 tulips


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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.

The Wilsons have triplets and another child who is fourteen years old. The sum of the ages of their children is 32. How old are the triplets?

Answers

32 minus 14 then divide that by 3 so they are all 6

If each quadrilateral below is a rectangle find the missing measures

Answers

Answer:

Where is the a. b. c. or d?

SOLVING QUADRATIC EQUATIONS BY SQUARE ROOT
4m^2-1=-23

Answers

4m^2-1=-23
⇒ 4m^2= -23+1
⇒ 4m^2= -22
⇒ m^2= -22/4
⇒ m^2= -11/2
⇒ m is undefined for all m∈R (for m^2 is always ≥0 for all m∈R)

Final answer: 
m is undefined for all m∈R~
4m^2 -1 = -23 Add 1 to both sides 4m^2 = -22 then divide both sides by 4. m^2 = -11/2. Square root both sides. m = ((square root of 22)/2) times i

Which of the following statements are true of literal equations? (mofre than 1 answer)They consist primarily of variables.
They are often called formulas.
They mostly use words.
They often describe real-world relationships.
They are hardly ever used.

Answers

The correct answers are:


They consist primarily of variables.

They are often called formulas.

They often describe real-world relationships.


Explanation:


Literal equations are defined as "equations in more than 1 variable whose variables represent specific quantities."


This means that literal equations consist mostly of variables.


Since the variables represent specific quantities, this means they typically represent real-life situations.


Since they represent real-life situations, these equations are often formulas for things in the real world (such as area, volume, perimeter, circumference, etc.)

The literal equations are those which made use primarily of variables to represent known values. These equations allow the use of variables instead of the true distance, time, slope, interest, etc. With literal equations, we are often asked for the value of one of the variables in terms of the other. Hence, the answer to this item is the first and the second one.

A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair of pants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items

Answers

25.1 seconds

Average time is the sum of the individual times divided by the number of items.
i.e. (24.3+32.8+18.2)/3

Answer:

25.4 seconds

Step-by-step explanation:

got it wrong and i see its the correct answer