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
BartSMP [9]
2 years ago
15

The senior classes at High School A and High School B planned separate trips to Lake Compounce. The senior class at High School

A rented and filled 6 vans and 7 buses with 412 students. High school B rented and filled 6 vans and 9 buses with 504 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
Mathematics
1 answer:
storchak [24]2 years ago
3 0

Answer:

Number of students in vans =15 and bus =46

Step-by-step explanation:

use variables for the vans and buses

let x= vans and y=buses

Now solve the 2 equations simultaneously

<em><u>remember</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>equations</u></em>

6x+7y=412..........1

6x+9y=504.........2

make x the subject of one equation

and label it equation 3

6x=412—7y

x =  \frac{206}{3}  -  \frac{7y}{6} .............3

subs 3 into 2

6( \frac{206}{3}  -  \frac{7y}{6} ) + 9y = 504

412 - 7y + 9y = 504

- 7y + 9y = 504 - 412

2y = 92

y = 46...................4

subs 4 into 1

6x + 7(46) = 412

6x + 322 = 412

6x = 412 - 322

6x = 90

x = 15

Therefore there are 15 students in each van and 46 students in each bus.

You might be interested in
Description of how a diagram<br> can help you solve 2 x 40.
Gwar [14]

Answer:

2 x 40 is = 80

Step-by-step explanation:

i hope that helps

5 0
2 years ago
Please answer this thank you
exis [7]

Step-by-step explanation:

option 1

option 3

7 0
2 years ago
A circle of yellow tulips is planted in Cedarburg's central park. Pam measured the circle and calculated that is has a circumfer
lozanna [386]

Answer:

The circle's diameter is 4\ yd

Step-by-step explanation:

we know that

The circumference of a circle is equal to

C=\pi D

where

D is the diameter of the circle

In this problem we have

C=12.56\ yd

\pi=3.14

substitute the values and solve for D

12.56=(3.14)D

D=12.56/(3.14)=4\ yd

6 0
3 years ago
Given the functions below, find (g * h)(1). g(x) = x^2 + 4 + 2x. h(x) = -3x + 2
pshichka [43]

Answer:

3

Step-by-step explanation:

g(x) = x² + 2x+4

h(x) = -3x+2

(g*h)(1) is the same as

g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1

g( h( x= 1)) = g( -3*1 +2)  = g( -1) so substitute in g(x) , x with -1

g(x= -1) = (-1)² +2(-1) +4 =1-2+4 =3

7 0
3 years ago
What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?<br><br> –4<br> 8<br> 12<br> 24
monitta

Answer:

8

Step-by-step explanation:

0 = –x^2 + 4x – 2

This is of the form

ax^2 +bx +c

a = -1  b = 4  x = -2

The discriminant is

b^2 -4ac

4^2 - 4(-1)(-2)

16 - 8

8

6 0
2 years ago
Read 2 more answers
Other questions:
  • Of 2x – 3y + 5 – (x – 3y) = 11 – 2x, what is the value of x?
    15·1 answer
  • 2. 10x - 11 - 4x = 43
    5·1 answer
  • Anyone?????????????????
    13·2 answers
  • Sin(25)/ 22 = Sin(B)/40<br><br> What is the measure of angle B?
    6·1 answer
  • How much money is 2/3 of 24.00$ draw a diagram
    15·1 answer
  • Multiply.<br><br> 4.9 X 6.7<br><br> Enter your answer in the box.
    6·2 answers
  • Find a number that is 15 more than 4 times its opposite
    6·1 answer
  • You need to convert the recipe measure of 2 quarts to both pints and fluid ounces so you enlist the help
    7·1 answer
  • How do u write 5,823 in scientific notation
    15·2 answers
  • INTERPRET THE VALUE OF EACH PLACE VALVE POSITION AS IO TIMES
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!