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
NemiM [27]
3 years ago
11

The larger of two numbers is four times the smaller number, and their difference is 18. Find the two numbers.

Mathematics
1 answer:
podryga [215]3 years ago
7 0

Answer:

x = 12 , y = 10

Step-by-step explanation:

Let x , y are two numbers.

x > y

1 ) Three times the greater is 18 times their

difference

3x = 18( x - y )

x = 6( x - y )

x = 6x - 6y

6y = 5x

y = 5x/6 ——-( 1 )

2 ) 4 times the smaller is 4 less than twice

the sum of the two

4y + 4 = 2 ( x + y )

2y + 2 = x + y

y = x -2 ——( 2 )

From ( 1 ) and ( 2 ) ,

5x/6 = x -2

( 5x /6 ) - x = -2

( 5x - 6x ) /6 = -2

-x = -12

x = 12

Put x = 12 in equation ( 2 ) , we get

y = 12 - 2

y = 10

Therefore ,

x = 12 , y = 10

You might be interested in
Find the x in the given triangle and at last do the proof...please help​
viva [34]

Answer:

x = 42.67

Step-by-step explanation:

5 0
2 years ago
Which comes first domain or range
Alisiya [41]
They are intertwined the domain is the allowed values of the independent varialbles and the range is the allowed values of the dependent variable.
6 0
3 years ago
Read 2 more answers
If A = C + 3A=C+3, B = 2CB=2C, and C = 4C=4, which is the correct order from least to greatest?
kotykmax [81]

Answer:

B, C, A.

Step-by-step explanation:

A = C + 3A = C + 3

A = C + 3

A = C + 3A

C + 3A = C + 3

3A = 3

A = 1

A = C + 3

1 = C + 3

C + 3 = 1

C = -2

B = 2C

B = 2(-2)

B = -4.

So, from least to greatest, B = -4, C = -2, and A = 1.

Hope this helps!

6 0
3 years ago
Write down the first five terms of the geometric progression with
Vilka [71]

Step-by-step explanation:

s1 = 3

s2 = 3×2 = 6

s3 = 6×2 = 12

s4 = 12×2 = 24

s5 = 24×2 = 48

sn = sn-1 × 2 = s1 × 2^(n-1)

s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608

7 0
2 years ago
5m + 9n if m = -7 and n = 4
dusya [7]

Answer:

1

Step-by-step explanation:

5m + 9n

5(-7) + 9(4)

-35 + 36

1

8 0
3 years ago
Read 2 more answers
Other questions:
  • 1.) What is the best approximation of the solution to the system to the nearest integer values?
    11·2 answers
  • Solve for x. 2 ( x + 1 ) = 12
    11·2 answers
  • Solve the inequality 3 + |t + 4| < 10
    7·2 answers
  • If a jet is moving at 178 mph, then how far will the jet move in 3 hours
    11·2 answers
  • The Federal Reserve Bank is responsible for minting new coins. True or false
    10·1 answer
  • Solve the equation. 2(5c – 7) = 1
    13·1 answer
  • 2(x-4)+3=7 which of these is x 4,6,7,8
    14·2 answers
  • -5 2/3 + 3 1/4 + -7 1/3
    10·1 answer
  • Timothy plans on saving, starting with the $50 he received for his birthday. He is pretty sure he can continue to contribute $50
    8·1 answer
  • What is -1/2 + (3/4 x 4/9)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!