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olga nikolaevna [1]
2 years ago
7

Tamara makes 12 identical flower arrangements, each with 3 roses and some carnations. She uses a total of 96 flowers.

Mathematics
1 answer:
storchak [24]2 years ago
5 0

Answer:

5 carnations in each arrangement

Total of 60 carnations used

Step-by-step explanation:

First calculate how many flowers are in each arrangement by dividing the total number of flowers by the number of arrangements:

96 ÷ 12 = 8

Given each arrangement has 3 roses, subtract 3 from 8 to find the number of carnations in each arrangement:

8 - 3 = 5

Therefore, there are 5 carnations in each arrangement

Total number of carnations used = 5 x 12 = 60

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Firstly, we need to understand the formula of point-slope form:
y1 - y2 =m( x1 - x2)

Where x and y is the coordinates and m is the slope respectively.

To find the slope:
\frac{y1 - y2}{x1 - x2}
In this case:
\frac{5 - 4}{ - 3 - ( - 1)}  \\  =  \frac{1}{ - 3 + 1}  \\  =  -  \frac{1}{2}

We can then put the above slope and the point (-1,4) into the formula:

4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2

Alternatively:

y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2

Therefore the answer is y = -1/2x+7/2.

Hope it helps!
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3 years ago
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How do the signs of b and c in standard form, x^2 + bx + c, affect the signs of p and q in factored form, (x + p)(x + q)?
Len [333]

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c

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4 0
3 years ago
Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6?​
Cerrena [4.2K]

2 occurred 3times

\\ \sf\longmapsto S=6\times 3=18

\\ \sf\longmapsto |S|=18

Now

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we know

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Answer:

2

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We can observe from the box plot the medians of both days.

The line in the middle of the box plot represents the median.

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We have to find the difference between medians of both box plots so the difference is:

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3 years ago
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disa [49]

Answer:

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