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Lesechka [4]
3 years ago
5

Sandy has 18 roses, 9 daisies, and 45 tulips. She wants to arrange all the followers in bouquets. Each bouquet has the same numb

er of flowers and same type of flower. What is the greatest number of flowers that could be in a bouquet?
Mathematics
1 answer:
uranmaximum [27]3 years ago
8 0

Answer:

Greatest number of flowers in a bouquet = 9 flowers

Step-by-step explanation:

Total no. of roses = 18

Total no. of daisies = 9

Total no. of tulips = 45

To find the greatest no. of flowers that can be arranged in the bouquet such that there are same number of flowers and same type of flowers in the bouquet, we will take the H.CF (highest common factor) of 18,9,45

H.C.F of 18,9,45 = 9

Hence, the greatest number no. of flowers that can be arranged in the bouquet = 9 flowers.

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A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec
Paraphin [41]

Answer:

A. The solutions are x=3i,\:x=-3i.

B. The factored form of the quadratic expression x^2+9=(x-3i)(x+3i)

Step-by-step explanation:

A. To find the solutions to the quadratic equation x^2+9=0 you must:

\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}

x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i

The solutions are:

x=3i,\:x=-3i

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor x^2+9:

First, multiply the constant in the polynomial by i^2 where i^2 is equal to -1.

x^2+9i^2

Since both terms are perfect squares, factor using the difference of squares formula

a^2-i^2=(a+i)(a-i)

x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)

5 0
3 years ago
Que es la globalizacion​
Snezhnost [94]

La globalización significa la aceleración de movimientos e intercambios (de seres humanos, bienes y servicios, capital, tecnologías o prácticas culturales) en todo el planeta. Uno de los efectos de la globalización es que promueve y aumenta las interacciones entre diferentes regiones y poblaciones de todo el mundo.

7 0
3 years ago
Hello i need help with question 5 asap!!
sergeinik [125]

Answer:

  arc DB length = 14π feet

Step-by-step explanation:

Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:

  arc DB = 140° = 140°(π/180°) radians

__

Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...

  s = rθ

where r represents the radius and θ is the measure of the arc in radians.

The arc length is ...

  s = (18 ft)(7π/9) = 14π ft

Arc DB has a length of 14π feet.

4 0
3 years ago
What is 65% of 65? Please help
NARA [144]
I believe the correct answer is 42.25%
8 0
3 years ago
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Maria needs to read a 1,500 page book in 10 days how many page does she has to read everyday
BabaBlast [244]
You simply do 1500 ÷ 10 to work out how many pages she needs to read in one day. The answer is 150 pages everyday.
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3 years ago
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