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
Olenka [21]
3 years ago
7

9 is the difference between two numbers, and their sum is 31. Find the numbers.

Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

The first number is 20, the second one is 11

Step-by-step explanation:

Let the first number be x and the second number be y

Since it says "9 is the difference between two numbers", the first equation will be x-y=9

It also says that "their sum is 31". That means the second equation will be x+y=31

here are the two equations:

x-y=9

x+y=31

You can solve this any way you like, but I'll show elimination

add the two equations

x-y=9

x+y=31

2x=40

divide by 2

x=20

Substitute 20 as x in one of the equations

20+y=31

subtract 20 from both sides

y=11

That means the two numbers are 20 and 11

Hope this helps!

You might be interested in
Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational.
Llana [10]

Answer:

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

Step-by-step explanation:

We have 0.8034=\frac{8034}{10000} =\frac{4017}{5000}

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

7 0
3 years ago
A 5-gallon jug of cleaning solution contains 6% bleach. How much pure water should be added to it to dilute to 4% bleach?
mihalych1998 [28]
Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach?  well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.

if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.

the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.

\bf \begin{array}{lcccl}
&\stackrel{gallons}{quantity}&\stackrel{\textit{\% of bleach}}{amount}&\stackrel{\textit{gallons of bleach}}{amount}\\
&------&------&------\\
\textit{pure water}&x&0.00&0x\\
\textit{6\% solution}&5&0.06&0.3\\
-----&------&------&------\\
mixture&y&0.04&0.04y
\end{array}
\\\\\\
\begin{cases}
x+5=\boxed{y}\\
0x+0.3=0.04y\\
---------\\
0.3=0.04\left( \boxed{x+5} \right)
\end{cases}
\\\\\\
0.3=0.04x+0.2\implies 0.1=0.04x\implies \cfrac{0.1}{0.04}=x\implies 2.5=x
3 0
3 years ago
Tap on the thing and somebody help me with all this pls
Mumz [18]
Hey what number do you need help with
8 0
3 years ago
Solve the equation X³+2X²-5X -6​
Natali [406]

Answer: x = {-1, -3, 2}

<u>Step-by-step explanation:</u>

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work <em>(result in a remainder of zero)</em>.

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |<u>  ↓    1      3     -2 </u>      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |<u>  ↓    -1     -1     6 </u>      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

6 0
2 years ago
What is the taxidistance between (2,11) and (7,10)<br> 4<br> 6<br> 7<br> 26
Scilla [17]
X difference: 7-2 = 5 y difference: 11-10 = 1 Add up those results: 5+1 = 6 

Answer Is 6
4 0
3 years ago
Other questions:
  • Please help me it’s emergency please
    6·2 answers
  • H - 20/j = k solve for j
    13·1 answer
  • Mr hatch bout 4 round trip airplane tickets for $417 each. he also paid $50 in baggage fees. how much did mr hatch spend?
    14·1 answer
  • 13.6% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm Difficulty Level: Moderate Som
    14·1 answer
  • For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 9N acts on a
    8·1 answer
  • HELP I NEED HELP ASAP <br> HELP I NEED HELP ASAP <br> HELP I NEED HELP ASAP
    8·1 answer
  • Mercury travels about 107,100 miles per hour as it resolves around the sun. How far does Mercury travel in 6 seconds?
    15·2 answers
  • REWARDING BRAINLY
    15·1 answer
  • BRAINLIEST FOR THE RIGHT ANSWER, ANYONE?
    13·1 answer
  • PLEASE PLEASE HELP ME WITH THIS I HAVE NO IDEA HOW TO DO IT
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!