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bonufazy [111]
3 years ago
15

2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two

integers. What are the integers?
Steve helped me yesterday and gave me the hint 8+9=17. Then I thought about it and saw 8*9=72, but I am confused about how to put it into an equation.
Mathematics
1 answer:
Lena [83]3 years ago
8 0
To answer this item, we let x be the first positive integer. Then, the second would be x+1. Their reciprocals would be 1/x and 1/(x+1). Then, the equation that would best represent the scenario above is,
                            1/x + 1/(x+1) = 17/72
Solving the equation above,
                           ((x+1) + x) / (x)(x+1) = 17/72
If we take the numerators of both sides of the equation,
                              (x+1) + x = 17
The value of x from the equation is 8 and x+1 would be 9. Thus, the answer would be 8 and 9. 
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2 years ago
What is an equation of the line that passes through the point
bulgar [2K]

Answer:  y = 4x + 11

Step-by-step explanation:First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

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ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

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8 0
3 years ago
Please help asap!!!!
padilas [110]

Answer:

x ≤ 7.5

Step-by-step explanation:

First, get x alone by multiplying both sides by 3 (to get rid of the fraction)

3 (1/3x) ≥ 3(2.5)

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(The sign will flip whenever you multiply or divide in an inequality)

Since the sign is 'less than or <u>equal to</u>' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5

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3 years ago
How many shirts do I have if have a ratio of 2 to 7 with ten pairs of pants
tiny-mole [99]
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cross multiply:
10 * 2 = 20
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7x = 20
x = 2.857
3 0
3 years ago
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