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
Given f(x)=-2x-1, solve for x when f(x)=-7
Svetlanka [38]

Answer:

The answer is -15.

Step-by-step explanation:

1. 2x - 1

2. 2(-7) - 1

3. (-14) - 1

4. -15

By plugging in our x value, we are able to use PEMDAS to  multiply 2 and the value of x and then, we subtract 1 from the value we got from step 3 to get -15.

5 0
2 years ago
How to do this in a 6th grade way
il63 [147K]

Answer:

4 2/3 - 1 2/3 and just keep doing that until you get to 0 it would take 3 days

Step-by-step explanation:

4 2/3 - 1 2/3=3

3- 1 2/3= 1 1/3

1 1/3- 1 2/3 = -1/3

6 0
2 years ago
I need help with HW it is hard (repost i forgot picture)
creativ13 [48]

Answer:

b 8 hours

Step-by-step explanation:

1/4 is 2 so 2/4 is 4 and we know 3/4 is 6 so 4/4 is 8 which is the answer

4 0
3 years ago
. Here is an equation 2x + 9 = -15. Write three different equations that have the same solution as 2x + 9 = -15. Show or explain
Anettt [7]

Answer:

1. x-3=-15
2.2x=-24
3.2x-3=-27

Step-by-step explanation:

Given the following question:

2x+9=-15

To find three equations that have the same solution as the given equation we have to first solve the equation.

2x+9=-15
9-9=0
-15-9=-24
2x=-24
2x\div2=x
-24\div2=-12
x=-12

<u>Equation one:</u>
x-3=-15
-3+3=0
-15+3=-12
x=-12

<u>Equation two:
</u>2x=-24
2x\div2=x
-24\div2=-12
x=-12

<u>Equation three:</u>
2x-3=-27
-3+3=0
-27+3=-24
-24\div2=-12
x=-12

Hope this helps.

4 0
2 years ago
The table shows some ordered pairs that belong to the quadratic function h.
erastova [34]

Answer:

C. Are all real numbers greater than or equal to -8.

Step-by-step explanation:

Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.

The range of h, h(x), in the table given are all real numbers.

The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.

Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".

6 0
3 years ago
Other questions:
  • What is the name of the period that has the didgits 486
    10·1 answer
  • Simplify: 4x-5y -2y+x
    9·1 answer
  • (2x + 3)3<br> I need help please
    7·2 answers
  • Write 9.202 using words
    8·1 answer
  • F(x)=(x-2)2 <br> X=8<br><br><br><br><br><br> Need answers ASAP
    11·1 answer
  • Here are two datasets:
    13·1 answer
  • (-12,-4) (4,8) what is the slope?
    10·1 answer
  • True or False??<br> .............................
    15·2 answers
  • The Palmer family spends money each month on the expenses shown.
    14·2 answers
  • Please help? i’m not good with math at all- <br> ^^<br> that’s embarrassing
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!