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
Maksim231197 [3]
3 years ago
6

Sophia’s school took a field trip. A total of 21 vehicles were needed for the trip. Some students took the bus, and some student

s car-pooled. There were 30 people on each bus and 4 people in each car. 318 people altogether attended the trip. How many buses and cars were needed for the trip?
Can someone help me find the x and the y using systems of equations?
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0
We know there were 21 vehicles so one of the equations is:

c+b=21

We can find  the second equation with the other given information:

30b+4c=318

We can use manipulate the first equation then use substitution to solve the system:

c=21-b

We can plug this into the second equation:

30b+4(21-b)=318
30b+84-4b=318
26b+84=318
26b=234
b=9

Now we can plug this into one of the original equations to solve for c (the first equation is easier):

c+9=21
c=12

You can check your work by plugging the answers into the two equations:

12+9=21
21=21

(30)(9)+(4)(12)=318
270+48=318
318=318

There are 9 buses and 12 cars.
You might be interested in
Lynnette can wash 959595 cars in 555 days.<br> How many cars can Lynnette wash in 111111 days?
Sloan [31]
<span>192110919 cars.....that is a lot of cars, are you sure you didn't make this up?</span>
6 0
3 years ago
Read 2 more answers
Pls help me with this dilation.
Mars2501 [29]

Answer:


Step-by-step explanation:

you want to multiply each point by the scale factor 1/4

the simplify

then graph

3 0
3 years ago
Figure ABCD is a parallelogram. What is the product of xy?
Andrei [34K]

Answer:

A) 2695.

Step-by-step explanation:

Opposite angels of a parallelogram are equal.

Also (x - y) = 42   (interior alternate angles)

So we have the system of equations:

x + y = 112

x - y = 42       Adding the 2 equations:

2x = 154

x = 77.

Plug x = 77 in the first equation:

77 + y = 112

y = 112 - 77 = 35.

and

xy =  77 * 35 =  2695.

5 0
1 year ago
Find the volume of the figure below. Include units.
Nastasia [14]
Can I get your snap?
6 0
2 years ago
Read 2 more answers
Which number is in the solution set of the inequality -5x - 7 &gt; 28?
Vanyuwa [196]

Answer:

x>-7

Step-by-step explanation:

A

7 0
1 year ago
Other questions:
  • Evaluate. 43 – 10 ÷ 2 + [(7 + 3) • 3]
    7·1 answer
  • An ocbpus has 8 legs.
    11·2 answers
  • I NEED HELPPPPP!!!!!!!!!!!!
    13·1 answer
  • Given the vertex of (3, 6) of a quadratic and a point at (4,8) what would be the a value for the quadratic?
    6·2 answers
  • So whatcha guys up to
    5·1 answer
  • If you borrow $2400 for four years at an annual interest rate for 6% how much will you pay all together
    14·1 answer
  • Any suggestions for concentrating on schoolwork?<br> Don't answer unless you have serious advice
    8·2 answers
  • ANOVA is a hypothesis testing technique used to compare the equality of means for two or more groups; for example, it can be use
    12·1 answer
  • Can someone help me out with this inequality problem?? Will give brainliest to best answer!!
    11·1 answer
  • Station P is situated on a bearing 030° and 12km east of station Q which is north of R. How far is P north of R?​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!