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
MariettaO [177]
3 years ago
8

A class of 165 students went on a field trip. They

Mathematics
1 answer:
navik [9.2K]3 years ago
3 0

answer

the number of buses is 3

the number of cars is 6

Step-by-step explanation:

total number of the students=165

total number of the vehicles=9

let x represent the number of cars

let y represent the number of buses

x+y=9...........equation 1

(the number of the cars plus the number of the buses= to the number of vehicles )

5x + 45y=165.......equation 2

(the number of student the car can hold plus the number of student the bus can hold= to the total number of the student in a class)

x+y=9.......eqn 1

5x +45y=165....eqn 2

make x the subject of the formula in eqn 1

x+y=9

x= 9-y

substitute for x= 9-y in eqn 2

5(9-y)+45y=165

45-5y+45y=165

-5y+45y=165-45

40y=120

divide both sides by 40

40y÷40=120÷40

y=3

since y represent number of buses,the numbet of bus is 3

Also,substitute for y=3 in eqn 1

eqn 1 is x+y=9

x+3=9

x=9-3

x=6

therefore,the number of cars is 6.

You might be interested in
The LCD for the fraction 1/3 , 3/4 , 5/32 , and 8/9 Is?
RSB [31]
The answer would be a. 288. hope that helped
3 0
3 years ago
Read 2 more answers
The average person's head has about 100,000 strands of hair.
MrMuchimi

Answer:

B: 1 × 10^5

Step-by-step explanation:

B is correct and C is not becasue you have to have the number multiplied by 10 to a power because then you wouldn't know what number to use as the base. I hope this helps. :)

7 0
3 years ago
Read 2 more answers
What is the slope of the line with the equation of y=-2/3x that passes through the point (2,1)
kow [346]

Answer:

-\frac{2}{3} = m

Step-by-step explanation:

In the Slope-Intercept Formula, y = mx + b, <em>b</em><em> </em>represents the y-intercept, and the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] is represented by <em>m</em>,<em> </em>so the slope is −⅔.

I am joyous to assist you anytime.

5 0
3 years ago
Juan's pit crew was able to get his car back onto the racetrack 0.4 seconds faster than Paul's crew. Paul's crew took 1.3 second
9966 [12]

Answer:

6.7 seconds

Step-by-step explanation:

Juan= Paul-0.4

Paul=Terry+1.3

We can substitute Terry+1.3 for Paul since they are equal

juan=(Terry-0.4)+1.3

terry=5.8

juan=(5.8-0.4)+1.3

juan=6.7

4 0
2 years ago
➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.
IgorC [24]

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

6 0
3 years ago
Other questions:
  • Which angle is an adjacent interior angle to
    11·1 answer
  • Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many peo
    12·1 answer
  • Describe how to transform the quantity of the fifth root of x to the seventh power, to the third powerinto an expression with a
    5·1 answer
  • I need help completing the two-column proof.
    8·2 answers
  • In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
    15·1 answer
  • What is the probability of rolling a dice 3 times in a row and all 3 rolls landing on a number greater than 1.
    7·1 answer
  • What is x − 2 y − 2 = 0 in slope intercepct form?
    8·1 answer
  • A paper cup is in the shape of a cone, with a diameter of 2 centimeters and a height of 5 centimeters,​
    12·1 answer
  • 4x²-24x-36 = 0<br>Help please......​
    9·1 answer
  • The revenue generated by the band is given by the expression 50x+150y.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!