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grin007 [14]
2 years ago
7

Sandy has 16 roses,8 daisies, and 32 tulips. She wants to arrange all the flowers in bouguets. Each bouguet has the same number

of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouguet
Mathematics
1 answer:
avanturin [10]2 years ago
3 0

Answer:

Greatest number of flowers that can be used in a bouquet is 8.

Step-by-step explanation:

In this question greatest number of flowers used in a bouquet will be decided by the "Greatest Common Factor" of the numbers of the flowers given.

So, factors of 16 = 1×2×2×2×2

Factors of 8 = 1×2×2×2

Factors of 32 = 1×2×2×2×2×2

Common factors = 1×2×2×2

Greatest Common Factor of these numbers will be = 1×2×2×2 = 8.

Therefore, greatest number of flowers that could be in a bouquet is 8.

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NemiM [27]
Check the picture below.

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but let's do the trapezoid area then, 

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-------------------------------\\\\

\bf A=\cfrac{h(a+b)}{2}\quad 
\begin{cases}
A=At\\
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h=x\\
b=2x
\end{cases}\implies At=\cfrac{x(x+2x)}{2}
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8 0
2 years ago
It costs 20 cents to receive a photo and 30 cents to send a photo from a cellphone. C is the cost of one photo (either sent or r
ddd [48]

Answer:

(a) PC(C)=     \left \{ {{0.6 \ \ \ \ x=20} \atop 0.4 \ \ \ \ {x=30}} \right. \\\ 0 \ \ \ \ \ \ \ else

(b) E[C] = 24 cents

Step-by-step explanation:

Given:

Cost to receive a photo = 20 cents

Cost to send a photo = 30 cents

Probability of receiving a photo = 0.6

Probability of sending a photo = 0.4

We need to find

(a) PC(c)

(b) E[C]

Solution:

(a)

PC(C)=     \left \{ {{0.6 \ \ \ \ c=20} \atop 0.4 \ \ \ \ {c=30}} \right. \\\ 0 \ \ \ \ \ \ \ else

(b)

Expected value can be calculated by multiplying probability with cost.

E[C] = Probability × cost

E[C] = 0.6\times20 +0.4 \times 30 = 12 + 12 = 24\  cents

3 0
2 years ago
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
miv72 [106K]
F(1)=4(1+1+7)-2(1)+8-4
f(1)=36+2
f(1)=38

f(2)=4(2+2+7)-2(2)+8-4
f(2)=44

4 0
2 years ago
Today is the Harperville Fall for Fun festival, and Naomi is volunteering at the balloon stand. When she practiced last night, N
adelina 88 [10]

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8 0
2 years ago
You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4000 per mont
Molodets [167]

Answer:

  $311.74

Step-by-step explanation:

A financial calculator computes the payment amount to be $311.74.

___

Your graphing calculator may have the capability to do this. Certainly, such calculators are available in spreadsheet programs and on the web.

___

The appropriate formula is the one for the sum of terms of a geometric series.

  Sn = a1·((1+r)^n -1)/(r) . . . . . where r is the monthly interest rate (0.005) and n is the number of payments (480). Filling in the given numbers, you have ...

  $620827.46 = a1·(1.005^480 -1)/.005 = 1991.4907·a1

Then ...

  $620827.46/1991.4907 = a1 ≈ $311.74

7 0
2 years ago
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