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Nuetrik [128]
3 years ago
14

5 1/6 + (7 1/3)l <60

Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

l

Step-by-step explanation:

Given the inequality

5\dfrac{1}{6}+7\dfrac{1}{3}l

First, convert mixed numbers to improper fractions:

5\dfrac{1}{6}=\dfrac{5\cdot 6+1}{6}=\dfrac{31}{6}\\ \\7\dfrac{1}{3}=\dfrac{7\cdot 3+1}{3}=\dfrac{22}{3}

Now the inequality looks like

\dfrac{31}{6}+\dfrac{22}{3}l

Multiply it by 6:

\dfrac{31}{6}\cdot 6+\dfrac{22}{3}l\cdot 6

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Scott and Letitia are brother and sister. After dinner, they have to do the dishes, with one washing and the other drying. They
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Answer:

The probability that Scott will wash is 2.5

Step-by-step explanation:

Given

Let the events be: P = Purple and G = Green

P = 2

G = 3

Required

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If Scott washes the dishes, then it means he picks two spoons of the same color handle.

So, we have to calculate the probability of picking the same handle. i.e.

P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)

This gives:

P(G_1\ and\ G_2) = P(G_1) * P(G_2)

P(G_1\ and\ G_2) = \frac{n(G)}{Total} * \frac{n(G)-1}{Total - 1}

P(G_1\ and\ G_2) = \frac{3}{5} * \frac{3-1}{5- 1}

P(G_1\ and\ G_2) = \frac{3}{5} * \frac{2}{4}

P(G_1\ and\ G_2) = \frac{3}{10}

P(P_1\ and\ P_2) = P(P_1) * P(P_2)

P(P_1\ and\ P_2) = \frac{n(P)}{Total} * \frac{n(P)-1}{Total - 1}

P(P_1\ and\ P_2) = \frac{2}{5} * \frac{2-1}{5- 1}

P(P_1\ and\ P_2) = \frac{2}{5} * \frac{1}{4}

P(P_1\ and\ P_2) = \frac{1}{10}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

So, we have:

P(Same) = P(G_1\ and\ G_2) + P(P_1\ and\ P_2)

P(Same) = \frac{3}{10} + \frac{1}{10}

P(Same) = \frac{3+1}{10}

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3 years ago
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Answer:

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        <u> x³ + 7x²</u>

                     -2x + 6

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x^{2}-2+\frac{20}{x+7}

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