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.


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Step-by-step explanation:

60% of 35  = 21

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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

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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.

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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

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Line u has a slope of 7/9. Line v is perpendicular to u. What is the slope of line v ?

Answers

Answer:

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

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.

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

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1/5x + 24 = 50
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Answers

Answer:

130

Step-by-step explanation:

1/5x=50-24  subtract 24 to both sides

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x=130  multiply 5 to both sides

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 :)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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

Answers

Looks like the inequality is

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

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The answer is true because I know it is trust

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THE LOOK DOWN PLZ ||
\/

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Step-by-step explanation:

Answer:

you have the right one its 4

Step-by-step explanation:

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Step-by-step explanation:

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

Answer:

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

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Answers

Answer: 127
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Sean completed five more then he did.
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Hope this helps

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)?

Answers

Answer:

c

Step-by-step explanation:

edge 2020

Answer:

C. the phase shift

Step-by-step explanation:

edge 2020

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

Answers

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:

ASAP PLEASE FOR BRAINLIEST!!!

Cindy Lou is Christmas shopping. She sees bracelets for $4.75. How many
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Answer:

6 Bracelets

Step-by-step explanation:

Hope it helps

answer correctly for BL

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Answer:

The height is 5 feet

H= v/b

Step-by-step explanation:

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

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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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