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lara [203]
3 years ago
9

Jonathan tries to mathematically model the number of seats in a given row. He tries to come up with an

Mathematics
1 answer:
seropon [69]3 years ago
3 0

Answer:

Yes it does

Step-by-step explanation:

Why because “r” it means rows there could 1- infinite rows so S=7r (7 it means that each row has 7 seats) so let’s say r=2 (remember that is the # of rows are) so S=7(2)+ 2 (we replace r=2 on X) so 7•2=14 S=14+2=16 soo there are S=16 like 16 seats in 2 rows hope this could help y you understand....

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In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. Three of the 8 are in one family
lianna [129]
There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

4 0
3 years ago
Let t = 5. What is the value of (35 ÷ t) · 4?
lora16 [44]
Anwser: 28 :) 35 DEVIDED BY 5 IS 7 AND 7 X 4 IS 28
3 0
3 years ago
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A chocolate chip cookie recipe requires one and three quarters cups of flour to one cup of chocolate chips. If four and two thir
nikitadnepr [17]

1 cup of chocolate chips for every 1and 3/4 cup of flour

 so divide 4 and 2/3 x 1 and 3/4

turn them both into fractions

4 2/3 = 14/3

1 3/4 = 7/4

14/3 / 7/4 = 14/3 x 4/7 = 56/21 = 2 and 2/3 cups of chocolate chips are needed

8 0
3 years ago
Multiple choice easy question. Please answer.
Anton [14]

Answer:

I belive it should be # 3 i might be wrong thow.

Step-by-step explanation:

3 0
2 years ago
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Find the equation of a line, in slope-intercept fotm of a line that passes through the point (9,2) and is perpendicular to the l
cricket20 [7]

Considering the definition of perpendicular line, the equation of of perpendicular line is y= -\frac{1}{2}x + \frac{13}{2}.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b.

where

x and y are coordinates of a point.

m is the slope.

b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 2x-y=8. Expressed in the form y = mx + b, you get:

-y=8 - 2x

y= (-2x +8)÷ (-1)

y= 2x -8

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of 2. So:

2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (2)

<u><em>slope perpendicular line= -</em></u>\frac{1}{2}

So, the perpendicular line has a form of: y= -\frac{1}{2}x + b

The line passes through the point (9, 2). Replacing in the expression for perpendicular line:

2= (-\frac{1}{2})× 9 + b

2=  -\frac{9}{2} + b

2+ \frac{9}{2}= b

<u><em /></u>\frac{13}{2}<u><em>= b</em></u>

Finally, the equation of of perpendicular line is y= -\frac{1}{2}x + \frac{13}{2}.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

6 0
2 years ago
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