Mathematics, 20.11.2019 20:31 willcoop6470

An airbus a380 has 1 first-class section, 1 business-class section
and 4 economy-class sections.
the first-class section has 14 seats.
5/7are being used.

the business-class section has 64 seats.
5/16are being used.
each economy-class section has 108 seats.
5/9in each section are being used.

are more than half the seats
on the plane being used?
you must show your working.

Answers: 2

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Answers

Answer from: maddieb1011

Yes

Step-by-step explanation:

Number of seats used in First class section = 5/7*14= 10 number of seats used in business class section= 5/16*64= 20 number of seats used in economy class section= 4*5/9*108=240 Total number seat = 14+64+432= 500.Yes more than half of the seats are being used because 270 is greater than 250.

Answer from: michellen2020

NO (222 SEATS IS LESS THAN 255 SEATS )

Step-by-step explanation:

1 first-class section

The first-class section has 14 seats.

5/7 are being used = 5/7 * 14 seats = 10 seats

Unused seats = 14 seats - 10 seats = 4 seats

1 business-class section

The business-class section has 64 seats.

5/16 are being used = 5/16 * 64 seats = 20 seats

Unused seats = 64 seats - 20 seats = 44 seats

4 economy-class sections

Each economy-class section has 108 seats.

5/9 in each section are being used = 4 * ( 5/9 * 108) = 240 seats

Unused seats in 4 economy - class section = 4*108 - 240 = 192 seats

Total seats in an airbus = 1 first-class section + 1 business-class section + 4 economy-class sections

Total seats in an airbus = 14 + 64 + 432 = 510 seats

used seats in an airbus = 1 first-class section + 1 business-class section + 4 economy-class sections

used seats in an airbus = 10+20 + 192 = 222 seats

half of total seats = 510/2 = 255 seats

used seat = 222 seats

222 seats < 255 seats

Thus NO

Answer from: Quest

step-by-step explanation:

Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

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