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

ASAP PLEASE FOR BRAINLIEST!!!

Cindy Lou is Christmas shopping. She sees bracelets for $4.75. How many
can she buy for herself and her friends if she spends no more than $30? Be
sure to include an inequality to represent this scenario.

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Answer:

6 Bracelets

Step-by-step explanation:

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Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. PLS ANSWER CORRECT ANSWER WILL GET BRAINLIEST 100 POINTSSS

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Answer:

T

n

+

1

=

T

n

+

d

T

1

=

a

Where the first term is equal to

a

and the common difference is

d

.

Option a can be expressed as follows:

T

n

+

1

=

T

n

+

4

T

1

=

1

Option c can be expressed as follows:

T

n

+

1

=

T

n

4

T

1

=

1

Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)

Hope that helps :)

Step-by-step explanation:

Consider the graphs of Equals 5 sine (2 x minus StartFraction pi Over 3 EndFraction) and . Which feature of the graph of g(x) is different from the graph of f(x)?

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Answer:

c

Step-by-step explanation:

edge 2020

Answer:

C. the phase shift

Step-by-step explanation:

edge 2020

Timmy the Elephant received an 87.5% on his math test. How many questions were on the test if he got 35 questions right?

Answers

Answer:

40

Step-by-step explanation:

35/40 in percentage is 87.5%

find the number whose cube are 4913

Answers

Step-by-step explanation:

4913 is said to be a perfect cube because 17 x 17 x 17 is equal to 4913.

Answer:

[tex] {17}^{3 } = 4913[/tex]

Thank you and please rate me as brainliest as it will help me to level up

How can you get $120 using 10 bills?

Answers

Answer:

Twelve 10 dollar bills

Step-by-step explanation:

10, the value of a 10$ bill, times twelve equals 120$

Which equation is modeled below?
-x+ 1 = 2x+ 3
X+(-1) = 2x+3
X+(-1) = 3x+2
-2x = 2x+3

Answers

Answer:

Step-by-step explanation:

First one

Answer:

A

Step-by-step explanation:

A tank that is filled with water drains at a rate of d216+4d−100 d 2 16 + 4 d − 100 gallons per minute where d is the depth of the tank in feet. Pumping out a tank that is 120 feet deep with this same pump would empty the tank at what rate? 1380 gal/min 1380 gal/min 1280 gal/min 1280 gal/min 900 gal/min 900 gal/min 387.5 gal/min 387.5 gal/min 487.5 gal/min

Answers

Given:

Consider the tank that is filled with water drains at a rate of [tex]\dfrac{d^2}{16}+4d-100[/tex] gallons per minute where d is the depth of the tank in feet.

Depth of tank = 120 feet.

To find:

The rate of water drain for that tank.

Solution:

We have, rate of water drain in gallons per minute.

[tex]r=\dfrac{d^2}{16}+4d-100[/tex]

where, d is the depth of the tank in feet.

Put d=120, to get the rate of water drain for the tank.

[tex]r=\dfrac{120^2}{16}+4(120)-100[/tex]

[tex]r=\dfrac{14400}{16}+480-100[/tex]

[tex]r=900+380[/tex]

[tex]r=1280[/tex]

Therefore, the rate of water drain is 1280 gal/min. Hence, the correct option is B.

HURRY THIS IS TIMED!! I'LL GIVE BRAINLIEST! Please answer the question attached:

Answers

Answer:

Answer A is Linear.  You can see this because each term is equal to the previous term plus a fixed amount (3), making it an arithmetic sequence.

Answer B is not linear.  This is because each term is a multiple of the previous one, making it a geometric sequence.

Answer:

Function A

Step-by-step explanation:

Each time x increases by 1, y increases by 3. Function B is exponential instead of linear, because y increases by a larger number each time rather than increasing by the same amount.

Good luck :)

Marcus completed five fewer passes this season than Sean. If Marcus completed 122 passes, how many did Sean complete?

Answers

Answer: 127
Reason: Marcus completed five fewer than Sean. This is put in a strange way, so we can instead say...
That Sean completed 5 more than Marcus did.
We know Marcus completed 122.
Sean completed five more then he did.
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write an equation of a line parallel to x=3

Answers

Answer: y = 4

Step-by-step explanation:

The equation y = 3 represents a vertical line. Thus, any equation in which y = m = 0 would be parallel to this line. Pick a random b-value and plug it into the equation with a slope of 0 and you should have a parallel line equation.

Mia has 65 sea shells but How many more sea shells does she need to have 200 sea shells

Answers

135 sea shells more

65-200 equals to 135

Answer:

135 more

Step-by-step explanation:

please help me i’m stuck !

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Answer:

1n plus 2d

ayyyyyyyyyyyy

Blank% of 35 = 21 percent equations

Answers

Answer:

60%

Step-by-step explanation:

60% of 35  = 21

what is the base of 4^4

Answers

Answer:

it's 4...............

Answer:

The answer is 1

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Step-by-step explanation:

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Answer:

60

Step-by-step explanation:

I did this ones and its not hard

Answer:

60

Step-by-step explanation:

What is the sum of all integers $n$ that satisfy
$$-3n < 7n-20 < 3n~?$$

$($In other words, what is the sum of all integers $n$ that satisfy both of the inequalities
$$-3n<7n-20\text{~~and~~}7n-20<3n~?)$$

If you can't figure out the latex here is a screenshot ( in the comments)

Answers

Looks like the inequality is

-3n < 7n - 20 < 3n

Add 3n to each side:

0 < 10n - 20 < 6n

Solve the right inequality.

10n - 20 < 6n

Add -10n to both sides:

-20 < -4n

Divides both sides by -4:

5 > n

Now solve the left inequality, and take the intersection of the two solution intervals.

0 < 10n - 20

Add 20 to both sides:

20 < 10n

Divide both sides by 10:

2 < n

So 2 < n < 5. There are only 2 integers in this range (3 and 4), whose sum is 7.

Answer:

7

Step-by-step explanation:

We solve each of the two inequalities separately. To solve the first inequality, -3n<7n-20, we add 3n to both sides:

0<10n-20, then we add 20 to both sides to get

20<10n. Finally, dividing both sides by 10 gives 2<n, so n must be greater than 2.

For the second inequality, 7n-20<3n, we subtract 3n from both sides:

4n-20<0, then add 20 to both sides to get

4n<20. Finally, dividing both sides by 4 gives n<5, so n must be less than 5.

The only integers that are greater than 2 and less than 5 are 3 and 4. So, the sum of all possible integer values of n is 3+4=7.

help plz ill give brainliest

Answers

Answer:

I think 3 not positive

Step-by-step explanation:

let me know

Answer:

(4*200)+(4*10)+(4*3) = 4*213

Drag the missing statements and reasons to the correct spot to complete the proof

Answers

Answer:

The two column proof can be presented as follows;

1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex]      [tex]{}[/tex]               Given

2. [tex]\overline{AD}[/tex] ≅ [tex]\overline{CB}[/tex]      [tex]{}[/tex]              Given

3. [tex]\overline{BD}[/tex] ≅

4. ΔABD ≅ ΔBCD      [tex]{}[/tex]     SSS

Step-by-step explanation:

Given that we have;

Segment [tex]\overline{AB}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CD}[/tex] of triangle ΔBCD and segment [tex]\overline{AD}[/tex] of triangle ΔABD being congruent to the corresponding segment [tex]\overline{CB}[/tex] of triangle ΔBCD, and that the common segment [tex]\overline{BD}[/tex] of both triangles are congruent by reflexive property, we have that ΔABD is congruent to ΔBCD by the Side-Side-Side (SSS) rule of congruency.

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Answers

Answer:

-9/7 bc the perpendicular is the inverse of the former slope

Step-by-step explanation:

Emmy goes through a 50-ounce jug of laundry detergent in 40 loads. At the store, she
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Answers

Observing 150 is 3 times 50
So to keep it equivalent
40 times 3 is 120

Hence 120 loads of laundry is required with jumbo jug of laundry detergent.

What is laundry detergent?

A sort of detergent (cleaning agent) used to clean soiled laundry is laundry detergent (clothes). There are two types of laundry detergent produced: powder (washing powder) and liquid. Builders (about 50% by weight), surfactants (15%), bleach (7%), enzymes (2%), soil deposition inhibitors, foam regulators, corrosion inhibitors, optical brighteners, color transfer inhibitors, perfumes, dyes, fillers, and formulation aids may all be present in laundry detergents.

∵ Number of jumbo jug = 150 /50

                                     n = 3

∴ Laundry loads required of detergent:

 = 40 * n

= 40 * 3

= 120 loads

To know more about laundry detergent please visit:

https://brainly.com/question/16997259

#SPJ2

THE LOOK DOWN PLZ ||
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Answers

Answer:

Ur right, its 4!

Step-by-step explanation:

Answer:

you have the right one its 4

Step-by-step explanation:

A car that travels 20 miles in LaTeX: \frac{1}{2}1 2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in LaTeX: \frac{3}{4}3 4 hour at a constant speed. Both cars go miles in LaTeX: \frac{1}{4}1 4of an hour (or 15 minutes). Both cars will travel miles in 1 hour.

Answers

Answer:

10 miles per 1/4 hour

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Step-by-step explanation:

Given that:

A car travels 20 miles in 1/2 hour

Miles traveled per hour :

(20 * 2) / 1 = 40 miles per hour

Mile traveled in 1/4 hour :

Distance = speed * time

Distance = 40 mph * 1/4 = 10 miles per 1/4 hour

Car traveling 30 miles in 3/4 hours

(30 * 4) /3 = 120 / 3 = 40 miles per hour

Distance = 40 mph * 1/4 = 10 miles per 1/4 hour

Does anyone know the answer to this ? I need help!

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The answer is
“Yes i do know the answer”

Im jp
Its
9h+12

answer correctly for BL

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Answer:

The height is 5 feet

H= v/b

Step-by-step explanation:

here is the chart again. what is the speed that brian is riding his bicycle between minutes 11 and 15

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Answer:

I think it is maybe 0.7 or 2.8 for the speed

Step-by-step explanation:

I am not sure, i am sorry if it is wrong  

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The answer is true because I know it is trust

A shop owner offered a 20% discount off the regular price of a mirror. The amount of the
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Answers

Answer:

it was $15 before the discount

Step-by-step explanation:

1/5x + 24 = 50
what does x equal?

Answers

Answer:

130

Step-by-step explanation:

1/5x=50-24  subtract 24 to both sides

1/5x=26   multiply 5 on both sides

x=130  multiply 5 to both sides

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