1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
9966 [12]
3 years ago
10

A school district transported a total of 409 students and teachers to a zoo in buses and vans.

Mathematics
2 answers:
kenny6666 [7]3 years ago
5 0

Answer:


Step-by-step explanation:

Let x be the number of buses and y be the number of vans.

We know that there are 5 more buses than vans, therefore, we can set up:

x=y+5

Since a bus transports 55 people and a van transports 12 people, therefore, we can set up:

55x+12y = 409\\

Now lets solve the above two equations together by substitution

55(y+5)+12y = 409\\\\55y+275+12y=409\\\\67y+275=409\\\\67y=409-275\\\\67y=134\\\\y=2,x=2+5=7

Total number of students and teachers who rode to the zoo in buses=55*7=385

Total number of students and teachers who rode to the zoo in vans=12*2=24

viva [34]3 years ago
4 0

Answer:

the answer is C

Step-by-step explanation:

You might be interested in
What is the answer to 7x-7=12x+13
QveST [7]

Answer:

x  =  − 4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
5-7 <-3 : what is the simplified form of the inequality below ?
Makovka662 [10]

Answer:

5<4

Step-by-step explanation:

This inequality is not correct though.

5-7+7<-3+7

5<4

7 0
3 years ago
The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
  • -3x - 4x = 1 - 22
  • -7x = - 21
  • x = 3

<u>Find y:</u>

  • 2*3 + y = 11
  • 6 + y = 11
  • y = 11 - 6
  • y = 5

The point is (3, 5)

2) <u>Line 1 and line 3</u>

  • -3x + 2y = 1
  • x + 4y = 9

<u>Triple the second equation and add up equations:</u>

  • -3x + 2y + 3(x + 4y) = 1 + 3(9)
  • 2y + 12y = 1 + 27
  • 14y = 28
  • y = 2

<u>Find x:</u>

  • x + 4*2 = 9
  • x + 8 = 9
  • x = 1

The point is (1, 2)

3) <u>Line 2 and line 3</u>

  • 2x + y = 11
  • x + 4y = 9

<u>Double the second equation and subtract the equations:</u>

  • 2x + y - 2(x + 4y) = 11 - 2(9)
  • y - 8y = 11 - 18
  • - 7y = - 7
  • y = 1

<u>Find x:</u>

  • x + 4*1 = 9
  • x + 4 = 9
  • x = 5

The point is (5, 1)

8 0
2 years ago
Help as soon as possible real answers only please
ankoles [38]

Answer:

I believe the answer is B.Good luck!

3 0
3 years ago
Toys R. Us is having a 38% off sale on all of their
ArbitrLikvidat [17]

Answer:

not sure wish i can help

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • lara has violet and blue pansies in groups of 5. she has x groups of violets and y groups of pansies. which expression shows tha
    12·2 answers
  • Three lengths of 2.25 feet each are cut from a board 12 feet long. How long is the remaining piece of wood?
    13·1 answer
  • If b=5, then 4^1 × 4^b s equal to
    11·1 answer
  • Which answer is an equation in point-slope form for the given point and slope? point (1,-7) slope -2/3
    14·2 answers
  • What is the area of the following circle?
    15·2 answers
  • EMERGENCY! DUE VERY SOON! HELP!
    12·1 answer
  • Graph and find the area of the figure with the vertices (-3, 0), (1,4), (2, 0)​
    11·1 answer
  • 1, 3, 9, 27, ... What's the pattern rule and the next three numbers?​
    9·2 answers
  • Can someone help me find the solution to these equations by using substitution
    11·1 answer
  • What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!