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
fredd [130]
2 years ago
12

X and y are both bigger than 30. x and y have HCF 21 and LCM 1617. Find x and y.

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
6 0

The values of x and y are 99 and 343

<h3>The HCF</h3>

The HCF of numbers is the highest common factors of the numbers

<h3>The LCM</h3>

The LCM of numbers is the lowest common multiple of the numbers

The HCF and the LCM are given as:

HCF = 21

LCM = 1617

Multiply the HCF and the LCM

HCF \times LCM = 21 \times 1617

HCF \times LCM = 33957

The product of the numbers x and y equals the product of the HCF and the LCM.

So, we have:

x \times y = 33957

<h3>Prime Factors</h3>

Express 33957 as a prime factor

x \times y = 3^2 \times 7^3 \times 11

Rewrite the equation as

x \times y = 99 \times 7^3

x \times y = 99 \times 343

By comparison:

x = 99

y= 343

Hence, the values of x and y are 99 and 343

Read more about HCF and LCM at:

brainly.com/question/420337

You might be interested in
Write the quadratic function in standard form.<br><br> y=2(x - 3)² +9
xz_007 [3.2K]

Answer:

y = 2x^2 - 12x + 27

Step-by-step explanation:

<u>Step 1:  Distribute the power</u>

y = 2(x - 3)² + 9

y = 2(x^2 - 6x + 9) + 9

y = 2x^2 - 12x + 18 + 9

y = 2x^2 - 12x + 27

Answer: y = 2x^2 - 12x + 27

5 0
3 years ago
Can Someone please help me with this please please please
jasenka [17]

Answer:

About 5.5, but it is technically closer to 5.6 so I am not entirely sure

Step-by-step explanation:

Since EB and DC are parallel, triangles ABE and ACD are similar by AA. Therefore:

\dfrac{x}{10}=\dfrac{10}{18} \\\\\\x=10\cdot \dfrac{10}{18}\approx 5.5

Hope this helps!

4 0
3 years ago
What is x in this geometry equation?​
lesya [120]

Answer:

x = 7

Step-by-step explanation:

m\overset{\frown} {PQ} = m\overset{\frown} {MN}... (given) \\\therefore Chord \:PQ \cong Chord\: MN\\  \therefore \: 4x + 10 = 38 \\   \therefore \: 4x= 38  - 10\\ \therefore \: 4x= 28\\  \therefore \: x=  \frac{28}{4} \\   \huge \red{ \boxed{\therefore \: x= 7}}

8 0
3 years ago
Which expression and diagram represent “three times a number”?
kozerog [31]

Answer:

You've picked the right one! It's the one you've marked in the picture!

Step-by-step explanation:

Multiplication is just like addition; you're just doing it multiple times instead of once. 3<em>x</em> is equal to <em>x</em> + <em>x</em> + <em>x</em>. That's exactly what the option you chose in the image shows. Great job! You've got this!

6 0
3 years ago
Read 2 more answers
Witch one is the right answer
frez [133]
The answer is D good luck
6 0
3 years ago
Read 2 more answers
Other questions:
  • In the name katherine, fine the ratio of consonants to vowels. PLEASE HELP 100 POINTS WORTH!!!!!!!​
    6·2 answers
  • Which expressions are polynomials? Select each correct answer. 1)Which expressions are polynomials?
    11·2 answers
  • Find the real-number root -81
    15·1 answer
  • What expression equals 1/2(2n+6)
    6·2 answers
  • Which values of PP and QQ result in an equation with no solutions? -60x+32=Qx+P−60x+32=Qx+P Choose all answers that apply: Choos
    8·1 answer
  • Given that rectangle MNOP - Rectangle STUV what's the length of TU<br><br>Please explain. Thank you.
    5·1 answer
  • Determine the intercepts of the line. <br> Y-3=5(x-2)
    14·2 answers
  • Plzzz help me do this :-)​
    10·1 answer
  • Help me!<br> solve for w
    8·2 answers
  • Siena draws a map of her flower garden. She wants to plant roses 6 feet away from the marigolds and 5 feet away from the lavende
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!