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
masha68 [24]
3 years ago
9

The LCM of three numbers is 7920 and their GCD is 12. Two of the numbers are 48 and 264. Using factor notation find the third nu

mber if one of its factors is 9.
Mathematics
1 answer:
svlad2 [7]3 years ago
4 0

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

You might be interested in
Rewrite each expression in the form kkxxnn, where kk is a real number and nn is an integer. Assume x ≠ 0.
labwork [276]

Answer:

The expression will be 2x^5\times x^{10}=2x^{5+10}=2x^{15}

Step-by-step explanation:

We have given the expression 2x^5\times x^{10}

We have to write this expression in kkxxnn form , here kk is real number and nn is integer

We know the property of exponent that when two function are multiplied thn their exponent are added

So 2x^5\times x^{10}=2x^{5+10}=2x^{15}

Here kk = 2 and nn = 15

7 0
3 years ago
Solvę for x. Assume that lines which appear tangent are tangent.
Tom [10]

Answer:

7

Step-by-step explanation:

Use secant-tangent product theorem.

1. Set up the equation

(x-3)(x-3+5) = (x-1)²

2. Solve

(x-3)(x+2) = (x²-2x+1)

(x²-x-6) = (x²-2x+1)

3. Solve for x

Subtract x² from both sides

-x-6 = -2x+1

Add 2x and 6 to both sides

x = 7

6 0
3 years ago
Find the area.<br> 2 cm<br> 6 cm<br> 4 cm
hammer [34]

Answer:

A=1/2(a+b)h

A=1/2(2cm+4cm)6cm

A=1/2×6cm×6cm

A=18cm²

3 0
3 years ago
]Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6. . . y + 3 = -6(x + 2)
pshichka [43]
Y - y1 = m(x - x1)
slope(m) = -6
(-2,-3)...x1 = -2 and y1 = -3
now sub and pay close attention to ur signs
y - (-3) = -6(x - (-2)....we're not done yet...
y + 3 = -6(x + 2) <===
7 0
3 years ago
Stephanie goes shopping on Sunday. She
just olya [345]
Started with: $60
left with: $10
items bought: 20

60 - 10 = 50 < amount spent
  
50/20 = amount spent/items bought
           = $ 2.50 < each chocolate

you can check this by multiplying the items bought and the amount each item cost to get how much you spent

20 × 2.5 = 50

Stephanie started off with 60 dollars and ended with 10 dollars

60 - 50 = 10

hope this helps :)









4 0
3 years ago
Other questions:
  • A town's population is 43200. About 100 people move in to town each month. A nearby town has a population of 50075 and about 175
    5·1 answer
  • Analyze the diagram below and complete the instructions that follow?
    9·1 answer
  • Volume scale factor, help needed.
    11·1 answer
  • What percent decrease is 50 to 36
    14·1 answer
  • For a Saturday matinee, adult tickets cost $4.50 and kids under 12 pay only $2.00. If 100 tickets are sold for a total of $350,
    6·1 answer
  • Will Give Brainliest (:.<br><br> What Is The Value Of |C|<br> Please Help.
    6·1 answer
  • Please help answer <br> Will give brainlst
    13·1 answer
  • 7. You are saving $12 per week to purchase a new kayak. Prices start at $300 and
    5·2 answers
  • Andrew has $65.50. He is paid $11.50 for each earbud case he sells. He has a goal of earning $146. Write an equation to determin
    10·1 answer
  • Pam bought a pair of shoes on sale for $22.40. If this was 20%. Off the original price, find the original price of the shoes
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!