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olga55 [171]
3 years ago
15

One positive number is 5 times another number . The difference between the two numbers is 80, Find the numbers.

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0
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Define the numbers:
---------------------------------------------------------------------------------------------------
Let x be one number.
One number = x
Other number = 5x

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Construct the equation:
---------------------------------------------------------------------------------------------------
5x - x  = 80

---------------------------------------------------------------------------------------------------
Combine like terms:
---------------------------------------------------------------------------------------------------
4x = 80

---------------------------------------------------------------------------------------------------
Divide by 4 on both sides:
---------------------------------------------------------------------------------------------------
x = 20

---------------------------------------------------------------------------------------------------
Find the 2 numbers:
---------------------------------------------------------------------------------------------------
One number = x = 20
Other number = 5x = 5(20) = 100

---------------------------------------------------------------------------------------------------
Answer: The two numbers in increasing order are 20 and 100.
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Answer:

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The graph in the attached figure

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Step-by-step explanation:

<u><em>The questions are</em></u>

Part a) Find the intercepts and graph the function

Part b) What does each intercept represent?

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Let

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we have

3x+1.5y=30

Remember that

The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero

so

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The <u><em>x-intercept</em></u> is the value of x when the value of y is equal to zero

so

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Plot the intercepts and graph the line

see the attached figure

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The x-intercept is the number of hamburgers they can buy if they buy no hot dogs

The y-intercept is the number of hot dogs they can buy if they buy no hamburgers      

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