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
Ierofanga [76]
3 years ago
9

In a parking lot there are totally 70 vehicles, cars and motorcycles. all together they've got 258 wheels. how many cars are the

re and how many motorcycles are there in the parking lot?
i need to understand how this was solved, thank you
Mathematics
1 answer:
docker41 [41]3 years ago
5 0
1 car - 4 wheels
1 motorcycle - 2 wheels

x - number of cars
y - number of motorcycles

so, there are 70 vehicles: x + y = 70
and all togeather they've got 258 wheels: 4*x + 2*y = 258
because each car has 4 wheels, so all car wheels = 4*x,
likewise 2*y for motorcycles

x + y = 70  /* 4
4 x + 2y = 258

4 x + 4 y = 280  (R1)
4 x + 2y = 258    (R2)

2y = 22  /:2      it is R1 - R2
x = 70 - y

y = 11    /motorcycles
x = 70 - 11 = 59  /cars

check:
59 + 11 = 70  ok
59 * 4 + 11 * 2 = 236 + 22 = 258  ok
You might be interested in
2(k + 1) = -4(k - 2)​
Misha Larkins [42]

Answer:

1

Step-by-step explanation:

2(k + 1) = -4(k - 2)

2k + 2 = --4k+8

2k+4k=8-2

6k=6

k=6/6

k=1

7 0
2 years ago
Read 2 more answers
A 8-sided number die is rolled exactly once. Which statement is correct?
UkoKoshka [18]

Answer:

what statement if it is statistics it is 1/8 chance to get any number between 1-8

Step-by-step explanation:

3 0
3 years ago
Can you guys tell me what does C , A, and B equal
irakobra [83]

you will need to use the law of cosines since this picture does not indicate that this is a right triangle

c^2 = a^2 + b^2 – 2ab cos C,

16^2 = 17^2+8^2 -2*17*8*cosC

256=289-272cosC

-33=-272cosC

33/272 = cosC

cos^-1 (33/272)=C  taking the inverse cos

C=83.0  (to the nearest tenth)

b^2 = a^2 + c^2 – 2ac cos B,

8^2 = 17^2 +16^2 -2*17*16cosB

64=289-544cosB

-225=-544cosB

225/544=cosB

cos^(-1) =B

B=65.5

A=180-83-65.6

A=31.4

4 0
3 years ago
On a city​ map, a rectangular park has a length of 2 in. If the actual length and width of the park are 400 ft and 100 ft​, ​res
pshichka [43]

Answer:

0.5 inches

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Will mark the brainliest... <br><br> Which triangles could not be similar to triangle ABC ?
lora16 [44]
The first and the third triangle
5 0
3 years ago
Read 2 more answers
Other questions:
  • After you measure the dimensions of a plot of land with a steel tape on a hot day, you come back and re-measure on a cold day. O
    11·1 answer
  • In a sample of seven cars, each car was tested for nitrogen-oxide emissions (in grams per mile) and the following results were o
    13·1 answer
  • a right triangle has the coordinates a(6,0), b(0,0) and c(0,8). what is the perimeter of the triangle
    7·1 answer
  • PLEASE SHOW YOUR WORK PLEASE SHOW YOUR WORK PLEASE SHOW YOUR WORK
    5·1 answer
  • Can some one Plz do this for me ( 28 Points )
    5·2 answers
  • What is the value of a if va- vh is equals to 1 <br><br>​
    15·2 answers
  • ok ok ok i didnt mean to do that other question but if u can answer this correctly ill paypal u a dollar
    5·2 answers
  • PLZZZ HELP 30 POINTS!!!!!!!
    9·1 answer
  • A cylinder has a helght of 16 cm and a radius of 5 cm. A cone has a helght of 12 cm and a radius of 4 cm. If the cone is placed
    12·1 answer
  • What is the range?<br> -2 -4 -4 -2 3 5
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!