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
Mashcka [7]
3 years ago
5

Mr. Rich had 2 times more cars than motorcycles in his garage. After he bought 1 more car and sold 2 motorcycles, there were 3 t

imes more cars than motorcycles. How many cars and motorcycles were there in garage?
Mathematics
2 answers:
Degger [83]3 years ago
7 0

Answer:

After the sale there were 15 cars and 5 motorcycles

Step-by-step explanation:

c=cars originally

m=motorcycles originally

c=2m  (2 times the cars than motorcycles)

(c+1)  bought 1 car  after sale

sold 1 motor cycle (m-2)  after sale

(c+1) = 3(m-2)   (3 times more cars than motorcycles)


(c+1) = 3(m-2)

distribute

c+1 = 3m-6

substitute c =2m

2m +1 = 3m-6

subtract 2m from each side

2m+1-2m = 3m-6-2m

1 = m-6

add 6 to each side

1+6 = m-6+6

m=7

c = 2m

c = 2(7) =14

c=14

Originally there were 7 motorcycles and 14 cars

After the sale c+1 = 15, m-2 = 5

there were 15 cars and 5 motorcycles

Aleksandr [31]3 years ago
5 0

Answer:

In the Garage, Numeber of cars are 15 and Number of motorcycles are 5

Step-by-step explanation:

let number of motorcycles be = x

he had 2 times more cars than motorcycles so ,no of cars = 2x

he bought 1 more car,so number of cars = 2x+1

he sold 2 motorcycles,so motorcycles = x-2

he had 3 times more cars than motorcycles so, we equate it like this:

3(x-2) = 2x+1

solving the equation

3x-6 = 2x+1

here we find , x=7

solving for no of cars:

2x+1

2(7)+1

no of cars = 15

solving for no of motorcycles:

x-2

7-2

no of motorcycles = 5


You might be interested in
Solve by elimination<br> -8x+12y= 12<br> -2x-12y= -12
SSSSS [86.1K]

Answer:

x=0, y=1.

Step-by-step explanation:

-8x+12y= 12

-2x-12y= -12     Adding these 2 equations:

-10x = 0

x = 0.

Plug this into equation 1:

-8(0) + 12y = 12

12y = 12

y = 1.

7 0
4 years ago
Read 2 more answers
A rectangle patio has a length four times its width. It also has a 3-ft wide brick boarder around it. Write a quadratic function
Margarita [4]

Answer: Area = 4w² + 30w + 36

Step-by-step explanation:

Let w represent the width of the rectangular patio.

The rectangle patio has a length four times its width. It means that the length of the patio is 4w.

The formula for determining the area of a rectangle is expressed as

Area = length × width

If the boarder is 3 ft, the combined length of the patio and the boarder would be (4w + 3 + 3) = (4w + 6) feet

Also, the combined width of the patio and the boarder would be

(w + 3 + 3) = (w + 6) feet

Therefore, the expression for the area of the patio and boarder is

Area = (4w + 6)(w + 6)

Area = 4w² + 24w + 6w + 36

Area = 4w² + 30w + 36

5 0
4 years ago
What is the volume of a rectangular prism that is 28 meters by 18 meters by 31 meters?
CaHeK987 [17]
It's 15624 meters because 28*18*31
4 0
3 years ago
Read 2 more answers
The difference between a number and seven is less than or equal to -3.
ikadub [295]

Answer:

n ≤ 4

Step-by-step explanation:

"The difference between a number and seven is less than or equal to -3" translates into n - 7 ≤ -3. To solve, isolate the variable n.

n - 7 ≤ -3

n ≤ -3 + 7

n ≤ 4

5 0
3 years ago
Which of the following is a description of the data with a correlation coefficient of 1?
timama [110]

Answer:

perfect negative correlation

Step-by-step explanation:

correlation coefficient is the term used in statistic which provides the information of strength of relation between two variables. This value suggests if there is change in value of one variable, what will be the change in the variable and how much will value of that change.

What will be the change : it suggest whether change in value of one variable other will be increase or decrease .

If there is increase in one variable and other also increases it suggest there is positive correlation .

If there is decrease in one variable and other also decrease it suggest there is positive correlation .

how much will value of that change: It means to say if there is change in one variable by how much amount other variable will change.

If the value of correlation coefficient is high it means that  change in value   for one variable is high in to  response change in other variable .

It values ranges from -1 to +1 high

while sign depicts type of relation that is positive or negative .

value from - 1 to + 1 depicts strength of the relation .

with - 1 depicting  perfect negative correlation

+1   depicting perfect positive correlation.

In the problem it is given correlation coefficient is 1 which means it is positive and value of one means that if there x percentage increase in one variable then other variable will also increase by x percentage and vice versa.

5 0
3 years ago
Other questions:
  • Area of a circle with a diameter of 6
    8·1 answer
  • I need step by step explanation for thisss &gt;33
    15·2 answers
  • The average of 4, 9, 16, 25 and x is 2x. What is the value of x? A) 4 B)6 A)9 C)9 D)12
    9·1 answer
  • Convert 4 feet 6 inches to inches​
    7·2 answers
  • Simplify -(6x+2)-(4x-9)​
    13·1 answer
  • 0.9b + 12 = 0.8b - 9​
    6·1 answer
  • PLEASE HELP!!! PLEASE NO LINKS
    8·1 answer
  • Find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)
    10·1 answer
  • Simplify the following expression.<br><br> 2 + [(12 ÷ 6)] × 12
    6·2 answers
  • Question in attachment
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!