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
viva [34]
3 years ago
14

numbers%3F" id="TexFormula1" title="The sum of two numbers is57 and the difference is3 . What are the numbers?" alt="The sum of two numbers is57 and the difference is3 . What are the numbers?" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
gogolik [260]3 years ago
6 0

Answer:

The numbers are 27 and 30

Step-by-step explanation:

The two numbers are x and y

x+y = 57

x-y = 3

Add the two equations together to eliminate y

x+y = 57

x-y = 3

---------------

2x = 60

Divide by 2

2x/2 = 60/2

x = 30

x+y = 57

30 + y = 57

y = 57-30

y = 27

The numbers are 27 and 30

Sedaia [141]3 years ago
6 0

The sum of two numbers is 57, and the difference is 3.

Give each number a variable (as you do not know what they are): x , y

Set the equations:

"The sum of two numbers is 57": x + y = 57

"The(re) difference is 3": x - y = 3

Isolate one of the variables in the second equation. Add y to both sides:

x - y (+y) = 3 + y

x = 3 + y

Plug in "3 + y" for x in the first equation:

3 + y + y = 57

Simplify. First, combine like terms:

3 + (y + y) = 57

3 + 2y = 57

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.

*PEMDAS is the order of operation.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 3 from both sides:

2y + 3 = 57

2y + 3 (-3) = 57 (-3)

2y = 57 - 3

2y = 54

Next, divide 2 from both sides:

(2y)/2 = (54)/2

y = 54/2

y = 27

Plug in 27 for y in one of the equations:

x = 3 + y

x = 3 + (27)

x = 3 + 27

x = 30

x = 30 , y = 27 is your answer.

~

Check:

"The sum of two numbers is 57": x + y = 57

30 + 27 = 57

57 = 57 (True)

"The(re) difference is 3": x - y = 3

30 - 27 = 3

3 = 3 (True)

You might be interested in
Help ME fast and pls
iogann1982 [59]

Answer:

the first one is 8 and 9

the second one is 13 and 14

Step-by-step explanation:

8^2 is equal to the square root of 64 and 9^2 is equal to the square root of 81.

13^2 is equal to the square root of 169 and 14^2 is equal to the square root of 196.

hope this helps and is correct.

5 0
3 years ago
where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto i
irina [24]

Answer:

An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to  reflect across an axis of symmetry so that a regular pentagon can carry onto itself. Hope this answer helps.

5 0
3 years ago
How are angles named?
Mama L [17]

Answer:

Acute angle, right angle, obtuse angle and reflex angle.

Step-by-step explanation:

Acute angle -

0° < θ < 90°

Right angle -

θ = 90°

Obtuse angle -

90° < θ < 180°

Reflex angle -

θ > 180°

4 0
3 years ago
Y=-4x-41 that passes through (-2,7)
dalvyx [7]

Answer:

Parallel: y=-4x-1

Perpendicular: y=-4x+13/2

Step-by-step explanation:

For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:

  • If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-7)=-4(x--2)


y-7=-4x-8


y=-4x-1

  • If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.

(y-7)=1/4(x--2)


y-7=1/4x-1/2


y=-4x+13/2


4 0
3 years ago
Read 2 more answers
NEED HELP ASAP (please and thank you)
solmaris [256]

Answer:

800

Step-by-step explanation:

i dont know how to explain. i just did the math. hope this helps.

it wouldnt be 600 because thats 1/2 of 1200 not 2/3.  

7 0
2 years ago
Read 2 more answers
Other questions:
  • (Please Help)<br> Line s ‖ segment RP. <br> m∠3 = m∠__?
    14·1 answer
  • Melanie made contributions to a ROTH IRA over the course of working 34 years. Her contributions averaged $3,750 annually.
    12·1 answer
  • HELP PLEASE WILL MARK BRAINLIEST
    9·2 answers
  • Mr.Guzman has 100 cows on his dairy farm. Of the cows , 57 are Holstein. What decimal represents the portion of cows that are Ho
    5·2 answers
  • B bbbbbbbbbbbbbbbbbbbbbbbbb
    7·1 answer
  • Please help? At least just for part A.
    10·1 answer
  • I need help pls..........
    13·1 answer
  • Help me out pleaseeee
    10·1 answer
  • Find the distance between the points. Round to the nearest tenth if necessary.<br> (4,3)<br> |(1,-1)
    10·1 answer
  • Change 3/2 3.14 to degree measure
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!