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Sedbober [7]
3 years ago
5

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:
12345 [234]3 years ago
5 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.

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Musya8 [376]

Answer:

$ 190

Step-by-step explanation:

To find the answer you add $112.65 , $29.75 and $48.33.

The answer then becomes $190.73

That means approximetely he spent because $ 190 is closer to $190.73 than $170 , $210 and $ 230.

answer is $190

HOPE THIS HELPED

8 0
3 years ago
Read 2 more answers
Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4
vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^{2} = 52

Pythagoras' theorem for the middle one :

b^{2} = 6^{2} + a^{2}

Pythagoras' theorem for the biggest one :

(4+a)^2 = c^2 + b^2

16 + 8a + a^2 = 52 + b^2

Using the formula before (for b^2) it becomes :

16 + 8a + a^2 = 52 + (6^2 + a^2)

16 + 8a + a^2 = 52 + 6^2 + a^2

16 + 8a = 52 + 6^2

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

a = \frac{72}{8}

a = 9

Verifying :

b^2 = 6^2 + a^2

b^2 = 36 + 81

b^2 = 117

b^{2} = 117

The biggest one :

(4+a)^2 = c^2 + b^2

(4+9)^2 = 52 + 117

13^2 = 169

True

8 0
2 years ago
Use 3 darts. Each dart must hit the board.
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THE CORRECT ANSWER: 3

4 0
2 years ago
The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.​
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You can subtract the top equation from the bottom
3y = 18
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4 0
3 years ago
Don’t really understand it someone help
stich3 [128]

Answer:

<em>n = 8 or n = −2</em> <em>is the correction solution.</em>

Step-by-step explanation:

As the absolute value equation is given:                                      

                                            | n−3 | = 5

We know either n − 3 = 5 or n − 3 = −5

                                               n − 3 = 5            (First Possibility)

                                          n − 3 + 3 = 5 + 3

                                                       n = 8

                                                n − 3 = -5            (Second Possibility)

                                                      n = -5 + 3

                                                      n = -2

                  <em> So, n = 8 or n = −2</em> <em>is the correction solution.</em>

<em>Keywords: absolute value equation</em>

<em>Learn more about absolute value equation from brainly.com/question/680309</em>

<em>#learnwithBrainly</em>

7 0
3 years ago
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