Roberto uses 150 roses, 120 lilies, and 45 hydrangeas to make bouquets. Each bouquet has the same number of roses, the same number of lilies, and the same number of hydrangeas. i What is the maximum possible number of bouquets he can make? ii How many roses, lilies, and hydrangeas are in each bouquet?

Answers

Answer 1

Answer: (i) Maximum possible number of bouquets he can make = 15

(ii) There are 10 roses, 8 lilies and 3 hydrangeas in each bouquet.

Step-by-step explanation:

Given: Roberto uses 150 roses, 120 lilies, and 45 hydrangeas to make bouquets.

(i) Maximum possible number of bouquets he can make = HCF(150, 120 , 45)

Since , 150 = 2 x 3 x 5 x 5  , 120= 2 x 2 x 2 x 3 x 5 ,  45 = 3 x 3 x 5

HCF(150, 120 , 45) = 3 x 5 = 15

Now, Maximum possible number of bouquets he can make = 15

(ii)  Number of roses in each bouquet = [tex]\dfrac{150}{15}=10[/tex]

Number of lilies in each bouquet = [tex]\dfrac{120}{15}=8[/tex]

Number of hydrangeas in each bouquet =[tex]\dfrac{45}{15}=3[/tex]

Hence, there are 10 roses, 8 lilies and 3 hydrangeas in each bouquet.


Related Questions

Can you figure this out for me ? I’m having issues .

Answers

Answer:

71

you just had to add them

Step-by-step explanation:

Kyle bought four boxes of cereal for $8.60. How much would 10 boxes of cereal cost

Answers

Answer:

$20.75

Step-by-step explanation:

The answer is $21.50

Explain:

$8.60 / 4 = $2.15

$2.15 x 10 = $21.50

Could I have brainliest?


Greg buys 2 puzzles from a garage sale. Each puzzle costs $4. Which graph
could show the coordinates of the point that represents the number of puzz
that Greg buys and the total cost?

Answers

Answer:

bottom right

Step-by-step explanation:

for the side that says total cost u go up to 4 and for the one that says number of puzzles u go two over

What is the solution of the system of equations?

Help

Answers

Answer:

(0, 5)

Step-by-step explanation:

6. Maria rides the bus every day. She bought a bus pass good for the month of
October for $38.75. How much was Maria spending per day for the bus pass?

Answers

Answer:

Maria is spending $1.25 for the bus pass everyday

Step-by-step explanation:

Given that Maria paid $38.75 for the pass for a month

As she bought the pass for the month of October and October has 31 days, dividing the amount paid for pass by 31 will give us the per day cost that she is spending.

So,

[tex]Per\ day\ cost = \frac{38.75}{31}\\= 1.25[/tex]

Maria is spending $1.25 for the bus pass everyday

Which of these pizza slices gives the best
value (the most pizza per dollar spent)?
A. a slice with a radius of 12 inches. central angle of 30 degrees, and a
cost of $3 per slice
B. a slice with a radius of 8 inches. central angle of 45 degrees. and a
cost of $2 per slice
C. a slice with a radius of 6 inches. central angle of 60 degrees, and a
cost of $2 per slice
D. a slice with a radius of 6 inches, central angle of 45 degrees, and a
cost of $1 per slice

Answers

Answer:

B. a slice with a radius of 8 inches. central angle of 45 degrees. and a

cost of $2 per slice

Step-by-step explanation:

brainest plz

Option B gives the best value.

What is a circle?

'A circle is a shape consisting of all points in a plane that are at a given distance from a given point which is the center.'

According to the given problem,

Radius = 8 inches

Diameter = 16 inches

Considering a pizza is a circle and the area of a circle increases with the square of the radius.

However 45 degrees being less inclined than 30 degrees.

Hence, a slice with a radius of 8 inches, central angle of 45 degrees gives the best value for $ 2 per slice.

Learn more about circles here: https://brainly.com/question/15099709

#SPJ2

expand and simplify: 2x(3x +y) - 5x(3x - 2y)

Answers

simplified the answer is -9x^2 + 12xy

Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.

No money was deposited into or withdrawn from the account.

What was the annual interest rate?

Enter your answer in the box.

Answers

Answer:  8.5%

Step-by-step explanation:

Formula : Simple interest = (Principal) x (annual interest rate) x (Time)    (i)

Given: Principal : P = $ 17,500

Time : 2 years

Simple interest : I = $ 2975

Let r = annual

[tex]2975=17500\times(r)\times(2)[/tex]

[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]

Hence, The annual interest rate was 8.5%.

Which two elements are most likely to have similar physical properties?
A. copper and zinc
B. copper and silver
C. cadmium and indium
D. gallium and cadmium

Answers

B would be you’re answer


Hope you get everything done

Answer:

b

Step-by-step explanation:

10 + 5 + 5 ( 10 + 10 )

Answers

Answer:

The answer is 115 you do parentheses first and multiply 5 by the number in the parentheses and then add

Step-by-step explanation:

Carlos went kayaking and burned 380 calories. It's a hot day, and he decides to replace all of his calories to keep his energy up. Select a snack from the following options that will allow Carlos to replace his calories.

Answers

Step-by-step explanation:

yoi forgot to pit the snacks.

Hi please help :D it says 'toO sHorT' so just ignore this next part jhdvwbfyugbwcqiugbn

Answers

BRO WHAT IM SO CONFSUED WHAT DO MENS

URGENT 20 POINTS AND BRAINLIEST DUE TODAY

Answers

Answer:

I would help you but i usally know how todo this but i can't figure this out when i figure this out ill come back to it and edit my answer

Step-by-step explanation:

branlieeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeest

Answers

Answer:

A

You  are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)

If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer

D is the same like B

Choice C is just the whole of x-y plane  so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2

You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18

Answers

Answer:

B 1/9

Step-by-step explanation:

Because there are 6 sides of a die then your adding 3 to the 6

I think. (please dont hate me if im wrong!!)

The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

What is the chain rule in probability for two events?

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

For this case, let we define two events:
A = event of rolling a 4 in first rollB = event of rolling a number less than 3 in second roll

Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.

Thus, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Total number of outcomes for any roll = n(S) = 6

Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)

Thus, P(A) = n(A)/n(S) = 1/6

And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)

Thus, P(B) = n(B)/n(S) = 2/6

Hence, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]

Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

Learn more about probability here:

brainly.com/question/1210781

Which number is not in scientific notation?

3.2 ⋅ 10–2
15 ⋅ 1020
8 ⋅ 1013
1.42 ⋅ 10–9

Answers

Answer:

The correct answer should be B

Step-by-step explanation:

If this helped please mark brainliest!

Order the functions from narrowest graph to widest graph.
11. h(x) = 3x2
12. g(x)= -
13. f(x)= x2
14. k(x) = -2x

guys please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

djjdjdjdjdjsksjdjjdjdjdjdjdjdndndnndndjd

The order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x. A graph is a structure that amounts to a set of items.

What is graph?

A graph is a structure that amounts to a set of items in which some combinations of the objects are already in some manner "connected" in discrete mathematics, more specifically within graph theory.

The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge. A graph is typically shown diagrammatically as a collection of dots as well as circles representing the vertices and lines or curves representing the edges. The order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x.

Therefore, the order of  functions from narrowest graph to widest graph is 3x²,    -x,  x² and 2x.

To know more about graph, here:

https://brainly.com/question/29183673

#SPJ7

You are picking out an outfit to wear for school. You have the option of wearing jeans, a pair of khakis, or a pair of shorts; a white shirt, a yellow shirt or an orange shirt; and a pair of tennis shoes, a pair of flip flops or a pair of dress shoes. How many different outfit combinations do you have?

Answers

Answer:

You have 24

Step-by-step explanation:

(2, 6) & (2,7)
Find the slope

Answers

Answer:

1/0 or undefined (use undefined)

Step-by-step explanation:

7-6= 1/0

2-2=

1/0 isn't a real slope so it's undefined...

What is 2 + 2 + 3 x 4 - 1 x 10 - 6. First on the answer gets brainlist;)

Answers

Answer: 19

Step-by-step explanation:

Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?

Answers

Answer:

70

Step-by-step explanation:

It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70

Hope this helped!

Help needed asap
If 0

Answers

Answer:

umm... i need a problem or anything bud

Step-by-step explanation:

back to 6th grade learning stuff! Please help me

Answers

Answer:

1. 4

2. 20

3. 80

Step-by-step explanation:

  Brainliest? I only need one more. Lol

Which set of coordinates is NOT a function?
O {(5,5), (3, 9), (2, -1), (5, 8)}
O {(2,5),(3,9),(4, -1), (5,9)}
O {(-2,-5).(-3,5),(4,-5), (5,5)}

Answers

Answer:

O {(-2,-5).(-3,5),(4,-5), (5,5)}

Step-by-step explanation:

brainest plz

True or False: 400 more than the product of 60 and 90 is the same as 60 x 90 + 400

Answers

Answer:

true

Step-by-step explanation:

mark as brainliest  plz

Answer:

True

Step-by-step explanation:

400 + 60 x 90 = 400 + 5400 = 5800

60 x 90 + 400 = 5400 + 400 = 5800

A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30. What was the original price of the sweater?

Answers

Answer:

50

Step-by-step explanation:

Bruh

Please help me Solve for r: r/5 = 7

-2
2
35
-35
Which one is the answer

Answers

Multiply both sides by 5
r = 35

Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions

Answers

Answer:

Lunar, and solar eclipse!

Step-by-step explanation:

This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!

The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!

I hope this helps, and I'm here if you need anything else! <3

2/5x+4 =1/5x+8

I give up I hate math

Answers

2/5x+4=1/5x+8
2/5x+4-1/5x=1/5x+8-1/5x
1/5x+4=8
1/5x+4-4=8-4
1/5x+4
5*(1/5x)=(5)*(4)
x=20

1. 3 cans of pudding costs $2.48 at Store A and 6 cans of the same pudding costs $4.50 at Store B. Which store has the better buy on these cans of pudding?

Answers

Answer:a

Step-by-step explanation:

Answer:

Store B because if you take 2.48 divided by 3 to figure out the cost per can aka one can  it will be 0.826 repeating and that's for store A . While store B you take 4.5 divided by 6 to and get 0.75 per can so Store B is the best option since 0.75 is smaller than 0.826.

Other Questions
What else is produced when sodium carbonate decomposes?Na2CO3 Na2O + _________ True or False: 400 more than the product of 60 and 90 is the same as 60 x 90 + 400 Ecosystems have producers, decomposers, and composers. Carnivores and scavengers are both types of consumers in an ecosystem. Which of the following is a characteristic of scavengers that make them different from carnivores? A.) Scavengers eat only plant materialsB.) scavengers are omnivores that always eat live animalsC.) scavengers are omnivores that eat dead plants and animals.D.) scavengers are able to produce their own food when no other food is available. HELP 15 POINTS AND BRAINLIESTEvaluate the unintended consequences of the Union Blockade on the conditions at Andersonville. What is the first step to solving the division problem below?Divide 15 into 82 to get 5.Divide 15 into 82 to get 6.Multiply 15 by 5 to get 75.Multiply 15 by 6 to get 80. To determine the relative age of rock layers 1-3, you could use the principle of can you pls help me with this question NEED HELP ASAPI GIVE BRAINLY Which of the following types of succession would most likely occur after a forest fire? 8. The author of "Nolan Bushnell" states that "It's very clear that game playing growsdendrites. So people are smarter. The brain is something that if you exercise it you can besmarter. It turns out that games are that exercise." becausehe believes that gaming and technology can hinder the chao Which is an example of a decomposer?A a hawkB a mouseC a flowerD a mushroom A store is having a sale where winter clothes are 60% of the original price. A sweater is on sale for $30. What was the original price of the sweater? What is the slope of a line represented by 3x-14y=28 PLEASE HELP!!! BRAINLIST IF ANSWER!Guys I really need some help paraphrasing this paragraph. Take out words that you don't think are needed and you don't need to paraphrase it in your own words. You can use an online thing to do it. I cant do it bc I'm at school the paragraphs are down below. THANK YOU!!!!:)Once in power, Charlemagne sought to unite all the Germanic peoples into one kingdom, and convert his subjects to Christianity. In order to carry out this mission, he spent the majority of his reign engaged in military campaigns. Soon after becoming king, he conquered the Lombards (in present-day northern Italy), the Avars (in modern-day Austria and Hungary) and Bavaria, among others.Charlemagne waged a bloody, three-decades-long series of battles against the Saxons, a Germanic tribe of pagan worshippers, and earned a reputation for ruthlessness. In 782 at the Massacre of Verden, Charlemagne reportedly ordered the slaughter of some 4,500 Saxons. He eventually forced the Saxons to convert to Christianity, and declared that anyone who didnt get baptized or follow other Christian traditions be put to death Hi please help :D it says 'toO sHorT' so just ignore this next part jhdvwbfyugbwcqiugbn BRAINLIST IF ANSWER! What makes a strong thesis statement?? quick I have 2 min to complete!! What is 2 + 2 + 3 x 4 - 1 x 10 - 6. First on the answer gets brainlist;) Buying a car can be exciting and make it a lot easier to get around.A. True B. False Which of these is a good method of increasing income so that it covers all expenses in a budget? A. Borrowing money from a bank B. Using a credit card to pay for expenses C. Getting another job or working overtime D. Spending less on utilities What is a way that society controls science?