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Roman55 [17]
2 years ago
7

one number is 8 times a first number. a third number is 100 more than the first number. if the sum of the three numbers is 480,

find the numbers
Mathematics
1 answer:
Katen [24]2 years ago
3 0

Answer:

Step-by-step explanation:

Let the first number = x

Let the second number = 8x

Let the third number = x + 100

x + 8x + x + 100 = 480              Combine like terms

10x + 100 = 480                        Subtract 100

     <u> - 100    -100</u>

10x = 380                                   Divide by 10

x = 380/10

x = 38

First number = 38

Second number = 8*38 = 304

The third number = 38 + 100 = 138

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The answer to your question is the letter B. x = 6

Step-by-step explanation:

Data

               4x² - 48x = -144

Process

1.- Equal to zero

               4x² - 48x + 144 = 0

2.- Multiply 4 by 144

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3.- Find the prime factors of 576

                     576   2

                     288   2

                     144    2

                       72    2

                       36   2

                       18    2

                        9    3

                        3     3

                         1

4.- Find two numbers that added gives -48,

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5.- Write the equation using these numbers

              4x² -24x - 24x + 144 = 0

6.- Factor by grouping

             4x(x - 6) - 24(x - 6)

7.- Factor by like terms

             (x - 6)(4x - 24)

8.- Find the solutions

              x - 6 = 0           4x - 24 = 0                            

              x = 6                   4x = 24

                                        x = 24/4

                                        x = 6

8 0
3 years ago
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