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lutik1710 [3]
3 years ago
10

A florist prepares an order of daisies and roses. For every 5 daisies she orders 2 roes. What 2 equations show the relationship

between the number of daisies d and the number of roses r ?
Mathematics
1 answer:
Vsevolod [243]3 years ago
6 0

Answer:

d = 2.5r and r = \frac{d}{2.5}

Step-by-step explanation:

Given

5 daises to 2 roses

Required

Determine the relationship between them

The question shows a direct proportion between number of daises and roses.

i.e.

d\ \alpha\ r

Where d = daises and r = roses

Convert the above expression to an equation

d = kr

Make k the subject

k = \frac{d}{r}

When d = 5 and r = 2;

k = \frac{5}{2}

k = 2.5

So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr

So:

d = 2.5 * r

d = 2.5r ----------- (1)

Make r the subject in (1)

r = \frac{d}{2.5} ------------------------(2)

Hence, the relationships between d and r are:

d = 2.5r and r = \frac{d}{2.5}

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<u><em></em></u>

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<u><em>STEP:-1</em></u>

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Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

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<u><em>Step(iii):-</em></u>

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<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{25}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{15-2}{25} = \frac{13}{25}<u><em></em></u>

<u><em /></u>

<u><em /></u>

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