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
Thepotemich [5.8K]
3 years ago
7

The product of two numbers is 10000.If one number is 16 times the other numbers ,find the two numbers.​

Mathematics
2 answers:
Firlakuza [10]3 years ago
6 0

Answer:

  • (25, 400) or (-25, - 400)

Step-by-step explanation:

Let the numbers be x and y.

<u>We have:</u>

  • y = 16x
  • xy = 10000

<u>Substitute y and solve for x:</u>

  • x(16x) = 10000
  • 16x² = 10000
  • x² = 10000/16
  • x² = 625
  • x = √625
  • x = ± 25

<u>Then y is:</u>

  • y = ± 25*16 = ± 400

<u>The numbers are:</u>

  • 25 and 400 or -25 and - 400
Simora [160]3 years ago
5 0

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

<h2>➯Question:</h2>

  • The product of two numbers is 10000. If one number is 16 times the other numbers ,find the two numbers.

<h2>Answer:</h2>

  • Both numbers are 25 and 400.

<h3>Step By Step Explanation:</h3>

<h3>Given that:</h3>

  • The product of two numbers is 10000.

  • One number is 16 times the other number.

<h3>To Find:</h3>

  • Both numbers?

<h3>Solution:</h3>

  • Let us consider that one number be n, in question it is stated that other number is 16 times the first number. Therefore, other number is 16n.

<h3>According to the Question :</h3>

\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}

<h3>Hence,</h3>

  • 1st number = n = 25

  • 2nd number = 16n = 16 × 25 = 400

<h3>∴ Hence, both numbers are 25 and 400.</h3>

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

You might be interested in
Solve each equation and match the solution
8_murik_8 [283]

Answer:

a

Step-by-step explanation:

sub to yfbg jay

7 0
3 years ago
Read 2 more answers
Let a and b be real numbers where a 4640. Which of the following functions could represent the graph below?
Ann [662]
I also need this too pleaseee huryy
5 0
2 years ago
Two buses leave seattle at the same time and travel in opposite directions. one bus averages 55 mi/h and the other bus averages
nalin [4]

In 4 hours they will be 400 miles apart 4 times 55 is 220 and 4 time 45 is 180 since there going in opposer directions add the miles together and it equals 400 so it takes 4 hours

7 0
3 years ago
Someone help with this
timama [110]

Answer:

18% decrease

Step-by-step explanation:

  1. 7,500 - 6,125 = $1,375
  2. Set up a proportion: \frac{1375}{7500} = \frac{x}{100}  
  3. Cross multiply, then divide: 1375 × 100 = 137500, 137500 ÷ 7500 = 18 1/3
  4. 18 1/3% rounded = 18%
  5. It went down, so it is a decrease

I hope this helps!

7 0
3 years ago
Read 2 more answers
Is the simplified form of 2-3 + 3.3 rational?<br> Yes<br> No
N76 [4]

Answer:

YES IT IS

Step-by-step explanation:

2-3 + 3.3

= -1 + 3.3

= -4.3

We learn that:

Rational number: rational number is the number that can be written as a/b (a and b would be intergers and b is not equal to 0). Rational number would be most of numbers we use in out life, except Square root and Pi number.

In this case, -4.3 can be write as -43/10

So YES it would be a rational number

Hope this helped :3

6 0
3 years ago
Other questions:
  • For the equation 4(2x-4)=8x+k, what value of K will create an equation with infinitely many solutions? Please show steps
    5·2 answers
  • BRAINLIESTTT ASAP!! :)<br><br> How do you know if a parabola has a maximum or a minimum?
    11·2 answers
  • Consider the tables.
    5·1 answer
  • A translation is performed on the pre-image LMN. the coordinates of l are (-2,0)
    7·1 answer
  • -3(3w-4) =-20 <br> w= ?<br> Plssss help
    12·1 answer
  • True or False:
    14·2 answers
  • Find the slope of the line 8x – 4y = 8\ (hint: find 2 points; then use the slope formula)
    5·1 answer
  • 1/4x +4 = 1/2 solve with explanation
    11·1 answer
  • What is the Tan J? URGENT HELP PLS
    5·1 answer
  • HELP! Convert these repeating decimals into fractions
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!