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vagabundo [1.1K]
3 years ago
12

Round tables seating 8 people and rectangular tables seating 12 people are being used at a banquet for 8th graders. The ratio of

round tables to rectangular tables is 2 to 1. How many tables are used to seat 336 students at the banquet, if no table has an empty seat?
Mathematics
2 answers:
Tamiku [17]3 years ago
6 0

Answer:

<u>36 tables are used to seat  the students at the banquet: 12 rectangular and 24 round.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Round tables = 8 seats

Rectangular tables = 12 seats

Ratio of round tables to rectangular tables = 2:1

Number of students = 336

2. How many tables are used to seat 336 students at the banquet, if no table has an empty seat?

x = Number of rectangular tables

2x = Number of round tables

Let's solve for x, using this equation:

12x + 8 (2x) = 336

12x + 16x = 336

28x = 336

x = 336/28

x = 12 ⇒ 2x = 24

12 + 24 = 36

<u>36 tables are used to seat  the students at the banquet: 12 rectangular and 24 round.</u>

olasank [31]3 years ago
4 0

Answer:

36

Step-by-step explanation:

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Find the value of x in (4x -5) = 7(x -5)​
Vlad1618 [11]

Answer: x = 10

Step-by-step explanation:

( 4 x − 5 ) = 7 ( x − 5 )

Simplify  7 ( x − 5 ) .

4 x − 5 = 7 x − 35

Move all terms containing  x  to the left side of the equation.

− 3 x − 5 = − 35

Move all terms not containing  x  to the right side of the equation.  

− 3 x = − 30

Divide each term by   − 3  and simplify.

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Step-by-step explanation:

I think this is the answer

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3 years ago
A random sample of 121 automobiles traveling on an interstate showed an average speed of 73 mph. from past information, it is kn
tatiyna

121 is big enough to assume normality and not worry about the t distribution. By the 68-95-99.7 rule a 95% confidence interval includes plus or minus two standard deviations. So 95% of the cars will be in the mph range


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The question is a bit vague, but it seems we're being asked for the 95% confidence interval on the average of 121 cars. The 121 is a hint of course.


The standard deviation of the average is in general the standard deviation of the individual samples divided by the square root of n:


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So repeating our experiment of taking the average 121 cars over and over, we expect 95% of the averages to be in the mph range


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Oliga [24]
B.28 Years Hope it help
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