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iren [92.7K]
1 year ago
13

6. A catering company is setting up for a wedding. They expect 150 people toattend. They can provide small tables that seat 6 pe

ople and large tables thatseat 10 people.6a. Find a combination of small and large tables that seats exactly 150people. *Your answer6b. Let x represent the number of small tables and y represent the numberof large tables. Write an equation to represent the relationship between xand y.

Mathematics
1 answer:
damaskus [11]1 year ago
8 0

6a.

Since each small table seats 6 people and large tables seat 10 people, a possible combination for 150 people would be 10 small tables and 9 large tables

(10 * 6 + 9 * 10 = 60 + 90 = 150)

6b.

The relationship between x and y is given by the following equation:

6x+10y=150

This relationship represents the number of people of each type of table being added to the total number of people.

6c.

The point (20, 5) means that we would have x = 20 and y = 5, that is, 20 small tables and 5 large tables.

6d.

Let's use this point in the equation and check if the result is true:

\begin{gathered} 6x+10y=150 \\ 6\cdot20+10\cdot5=150 \\ 120+50=150 \\ 170=150\text{ (false)} \end{gathered}

Since the result is not true, the point (20, 5) is not a solution to the equation.

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Answer:

The likelihood that the professor's socks matched his pants on both days is 0.5625

Step-by-step explanation:

Total no. of pair of socks = 24

No. of black pairs = 18

We are given that  he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.

So, It is  a case of replacement

He always wears black pants.

We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.

So ,Probability of wearing black socks on Monday = \frac{18}{24}

So ,Probability of wearing black socks on Tuesday =\frac{18}{24}

So,the likelihood that the professor's socks matched his pants on both days = \frac{18}{24} \times \frac{18}{24}=0.5625

Hence the likelihood that the professor's socks matched his pants on both days is 0.5625

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3 years ago
Giving brainiest explain answer
enot [183]

Answer:

A.) -5

Step-by-step explanation:

<em>Slope Formula --->     </em>m = \frac{y_2 - y_1}{x_2 - x_1}       <em>m = slope</em>

m = \frac{2 - (-3)}{-2 - (-1)}

<em>Eliminate negatives:</em>

m = \frac{2 + 3}{ -2 + 1}

<em>Solve:</em>

m = \frac{5}{-1}

<em>Simplify:</em>

m = -5

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2 years ago
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Answer:

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Step-by-step explanation:

80x.20=16

80-16=64

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I think it could be m ( 5m + 16 ) + 12. Hope it useful . 

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