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just olya [345]
3 years ago
8

37. Two numbers are such that their

Mathematics
1 answer:
omeli [17]3 years ago
4 0

Answer:

8 and 6

Step-by-step explanation:

Two numbers are such that their difference, their sum, and their product are to

each other as 1:7:24. Their product must equal what number?

:

Two numbers a & b

Let x = the multiplier

:

a - b = 1x

a + b = 7x

a * b = 24x

:

Add the 1st two equations

a - b = x

a + b = 7x

2a = 8x

a = 4x

or

x = .25a

:

a * b = 24x

Replace 24x; a = 4x therefore:

a * b = 6a

b = 6

;

Using the 1st equation

a - b = 1x

Replace b with 6 and x with .25a

a - 6 = .25a

a - .25a = 6

.75a = 6

a =

a = 8

:

Find the multiplier

a - b = x

8 - 6 = 2

:

Check this

a - b = 2 (1*2)

a + b = 14; (7*2)

a * b = 48: (24*2)

:

The numbers are 8 and 6; their products = 48

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The nature park has pride of 4 lions and 2 cubs. The adults eat 6 pounds of meat each day and the cubs eat 4 pounds. Simplify 4
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Answer:

32

Step-by-step explanation:

The data given in the question

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We apply the BODMASS rule that means we do the multiplication first and then addition so that the value could come accurate

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Step-by-step explanation:

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Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each touchdown, the
galben [10]

Answer:

Five touchdowns were made in the game

Step-by-step explanation:

Here, we want to know the number of touchdowns made during the game.

We proceed as follows;

Let the number of touch downs be x

So the total points earned through touchdowns is 6 * x = 6x

The number of scores is 10 times

Let the number of extra kick be y which means that the number of conversions will be (y-1)

So the total number of score times will be ;

x + y + y-1 = 10

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Now let’s work with points

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So;

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divide through by 3

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3 years ago
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