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kvv77 [185]
3 years ago
11

a company uses two vans to transport workers from a free parking lot to the workplace between 7 and 9 a.m. One can has 14 more s

eats than the other. the small van makes two trips every morning while the larger one only makes one trip. the two vans can transport 65 people, at maximum.
Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0
Y = x + 14     (the larger bus has 14 more seats)
2x + y = 65       ( 2 x two times the seats , as it makes 2 trips the smaller van so the seats will be full twice maximum)

2x + x + 14 = 65   (sub the value of y = x+14 in the second equation)

3x = 51
x = 17 seat (smaller)
y = 31 seat (larger)
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write the equation of the line (in slope-intercept form) that passes through the points (2,3 and (5,7)
AfilCa [17]

Answer:

The answer to your question is    y = 4/3x + 1/3

Step-by-step explanation:

Data

Point A = (2, 3)

Point B = (5, 7)

Process

1.- Calculate the slope

x1 = 2    y1 = 3

x2 = 5    y2 = 7

m = (y2 - y1)/(x2 - x1)

- Substitution

  m = (7 - 3)/(5 - 2)

- Slope

  m = 4/3

2.- Find the equation of the line

     y - y1 = m(x - x1)

     y - 3 = 4/3(x - 2)

     y - 3 = 4/3x - 8/3

     y = 4/3x - 8/3 + 3

     y = 4/3x - 8/3 + 9/3

     y = 4/3x + 1/3

8 0
3 years ago
Let x be a Poisson random variable with μ = 9.5. Find the probabilities for x using the Poisson formula. (Round your answers to
miv72 [106K]

Answer: 1

Step-by-step explanation: the probability mass function that defines a possion probability distribution is given below as

P(x=r) = e^-u × u^x/x!

For this question, x = 0 and u = 9.5

Hence we have that

P(x=0) = e^-0 × 9.5^0 / 0!

P(x=0) = 1 × 1/ 1 = 1

5 0
3 years ago
There is 3 4 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1 4 of the pie that was left. Enter how much of the
lora16 [44]

Answer:

3/16

Step-by-step explanation:

Let the size of the whole apple be T

Given that 3/4 of the apple is left, it means the size left

= 3T/4

Since Victor plans to eat 1/4 of the pie that was left, this amounts to

1/4 * 3T/4

= 3T/16

This means that Victor will eat 3/16 of the whole pie tomorrow

5 0
2 years ago
Dean had already read 1 book this year before joining a book club, and he plans to read 1 book every month now that he has joine
solniwko [45]

<em>b</em><em> </em>for <em>books</em><em> </em>read. b=1x + 1. the amount of months he's been in the club goes for x and +1 because he already read a book before he joined. if you do easy math, he's been there for 8 months because he read 9 books. i probably got the equation backwards but this works both ways imo.

6 0
3 years ago
Which congruence postulate is this? SAS, SSS, AAS, ASA, HL
lara31 [8.8K]

Answer:

SAS

Step-by-step explanation:

6 0
2 years ago
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