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Kazeer [188]
3 years ago
12

New York City is a popular field trip destination. THis year the senior class at High School A and the senior class at High Scho

ol B both planned trips there. The senior class at High School A rented and filled 1 van and 6 buses with 324 students. High School B rented and filled 9 van and 3 busses with 264 students. How many students can a van carry? How many students can a bus carry?
Mathematics
2 answers:
maw [93]3 years ago
8 0

Answer:

number of students in a van=12

number of students in a bus=52

Step-by-step explanation:

let number of students in a van=x

number of students in a bus=y

1x+6y=324     ...(1)

9x+3y=264   ...(2)

multiply (2) by 2

18x+6y=528   ...(3)

(3)-(1) gives

17x=204

x=204/17=12

put in (1)

12+6y=324

6y=324-12=312

y=312/6=52

Vinil7 [7]3 years ago
6 0

Answer:

number of students in a van=12

number of students in a bus=52

Step-by-step explanation:

let a number of students in a van=x

number of students in a bus=y

1x+6y=324 ...(1)

9x+3y=264 ...(2)

multiply (2) by 2

18x+6y=528 ...(3)

(3)-(1) gives

17x=204

x=204/17=12

put in (1)

12+6y=324

6y=324-12=312

y=312/6=52

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NikAS [45]

Answer:

(2,-3) and (-2,5)

Step-by-step explanation:

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Let us find another point by putting x = 1 and solving it for y

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Let us find another point by putting x = 2 and solving it for y

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Hence the another point will be (2,-3)

Let us find another point by putting x = -2 and solving it for y

y=-2(-2)+1

y=+1 = 5

Hence the another point will be (-2,5)

Now we have two points (0,1) ,(1,-1) ,  (2,-3) and (-2,5) we joint them on line to obtain our line  

2.

g(x)=y=x^2-2x-3

y=x^2-2x+1-1-3

y=(x-1)^2-4

(y+4)=(x-1)^2

It represents the parabola opening upward with vertices (1,-4)

Let us mark few coordinates so that we may graph the parabola.

i) x=0 ; y=y=(0)^2-2(0)-3=0-0-3=-3 ; (0,-3)

ii)x=-1 ; y=(-1)^2-2(-1)-3=1+2-3=0 ; (-1,0)

iii) x=2 ; y=(2)^2-2(2)-3 = 4-4-3 =-3 ;(2,-3)

iii) x=1 ; y=(1)^2-2(1)-3 = 1-2-3 =-4  ;(1,-4)

iii) x=-2 ; y=(-2)^2-2(-2)-3 = 4+4-3 =5  ;(-2,5)

Now we plot them on coordinate axis and line them to form our parabola

When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.

3 0
3 years ago
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hammer [34]
I think BD is 16 and EC is 9. hope this helps
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3 years ago
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grin007 [14]

Answer:

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Step-by-step explanation:

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HOPE THIS HELPS :)

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