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
maksim [4K]
3 years ago
12

The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School

A rented and filled 14 vans and 2 buses with 270 students. High School B rented and filled 9 vans and 9 buses with 459 students. Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

x = number of students in the van = 14

y = number of students in the bus = 37

Step-by-step explanation:

Let

x = number of students in the van

y = number of students in the bus

14x + 2y = 270 (1)

9x + 9y = 459 (2)

Multiply (1) by 9 and (2) by 2

126x + 18y = 2,430 (3)

18x + 18y = 918 (4)

Subtract (4) from (3)

126x - 18x = 2,430 - 918

108x = 1,512

x = 1,512 / 108

= 14

x = 14 students in each van

Substitute x = 14 into (1)

14x + 2y = 270

14(14) + 2y = 270

196 + 2y = 270

2y = 270 - 196

2y = 74

y = 74/2

= 37

y = 37 students in each bus

x = number of students in the van = 14

y = number of students in the bus = 37

You might be interested in
5y=120 and 2x=108 FIND THE MISSING VALUES
Anna71 [15]
<h2>Answer:</h2>

To solve these, we will divide on both.

5y = 120\\\\y = 24

2x = 108\\\\x = 54

3 0
3 years ago
Read 2 more answers
-9+b=3.5 what is the value of b?
Serggg [28]

Answer:

12.5

Step-by-step explanation:

In order to solve, we need to add 9 to both sides of the equation:

<u>Our sum applied:</u>

b=12.5

4 0
2 years ago
3[-x + (2 x + 1)] = x - 1<br><br> what is x
lubasha [3.4K]

Answer:

the answer is x=-2 as answer

8 0
2 years ago
State the order and type of each transformation of the graph of the function
algol [13]

Using translation concepts, compared to the graph of the base function g(x) = x², the function f(x) was:

  • Vertically stretched by a factor of 4.
  • Shifted left by 9 units.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the base function g(x) = x² was:

  • Multiplied by 4, that is, vertically stretched by a factor of 4.
  • Shifted left 9 units, as x -> x + 9.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

6 0
2 years ago
How to solve fractagons​
Law Incorporation [45]

Answer:

By using cross multiplication

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Gunta's dad is 25 years older than gunta. The sum of their ages is 61. How old is gunta?
    15·1 answer
  • The 5 in 6.052 has 1/10 the value of the 5 in?
    6·1 answer
  • When converting measures, which is a true statement?
    11·1 answer
  • roger ran 13.2 miles in 1.6 hours. Ana ran 10.85 miles in 1.4 hours. who had the faster average speed? How much faster? Explain.
    14·1 answer
  • If 15 of the 1001<br> cars in a parking<br> lot are white,<br> how many cars<br> are white?
    13·2 answers
  • I need help on these 3 questions please! ​
    9·1 answer
  • Need help please thank you if you help
    9·1 answer
  • Hey can someone please help me with this
    11·1 answer
  • Matrices question need help
    6·1 answer
  • 2
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!