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Nataly [62]
3 years ago
10

Rose picked 18 tulips and 20 daffodils. She divided the flowers into groups so that the same number of tulips and daffodils were

in each bouquet. What is the greatest number of bouquets she can make?
(Factors and multiples)
Mathematics
2 answers:
alexandr1967 [171]3 years ago
4 0

18: 1,2,3,6,9,18

20: 1,2,4,5,10

the answer is 2 because that is the biggest # both of them have in common

scoundrel [369]3 years ago
4 0

Answer:

2 bouquets.

Step-by-step explanation:

We have been given that Rose picked 18 tulips and 20 daffodils. She divided the flowers into groups so that the same number of tulips and daffodils were in each bouquet.

To find the greatest number of bouquets Rose can make, we will find greatest common factor of 18 and 20.

Factors of 18: 1, 2, 3, 6, 9, 18.

Factors of 20: 1, 2, 4, 5, 10, 20.

We can see that greatest common factor of 18 and 20 is 2, therefore, Rose can make 2 bouquets.

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Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

4 0
4 years ago
What are the solutions of 3(x – 4)(2x - 3) = 0? Check all that apply. -4 -3 win w bo 3 m/N 3 4​
Fudgin [204]

Answer:

Option (4) and Option (6)

Step-by-step explanation:

By the zero product property,

If (x - a)(x - b) = 0

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(x - b) = 0 ⇒ x = b

By following the zero product property,

From the given equation,

3(x - 4)(2x - 3) = 0

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2x - 3 = 0 ⇒ x = \frac{3}{2}

Therefore, options (4) and (6) will be the correct options.

7 0
3 years ago
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Answer:

x = 14.

Step-by-step explanation:

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6 0
4 years ago
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USPshnik [31]

Answer:

=2 5/8

Step-by-step explanation:

Converting mixed numbers to fractions, reducing where possible, our initial equation becomes,

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kykrilka [37]

Answer:

a) x = 9

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Step-by-step explanation:

Since r\ ||\ s, through the Alternate Angle Theorem, m \angle 1 = m \angle 2. We can solve for x by setting up an equation where both angles are equal to each other:

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6 0
2 years ago
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