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algol [13]
3 years ago
8

A group of friends decided to buy bulk chocolate from a candy store. If some friends each want 5 over 7 of a kilogram of a choco

late of the 10 kilograms of chocolate purchased, then how many people can get a share of chocolate?
Mathematics
1 answer:
AnnZ [28]3 years ago
7 0
Each person = 5/7 kg

----------------------------------------------------------------------------------
Number of people that can share the 10kg of chocolate:
-----------------------------------------------------------------------------------
10 \div  \dfrac{5}{7}

= 10 \times  \dfrac{7}{5}

= 14

---------------------------------------------------------
Answer: 14 can share the chocolate.
---------------------------------------------------------
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Determine the standard form of the equation of the line that passes through (6, -9) and (-8, 6)
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9514 1404 393

Answer:

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Step-by-step explanation:

Since we are given two points, we can start with the 2-point form of the equation for a line.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (6 -(-9))/(-8 -6)(x -6) +(-9)

  y = 15/-14(x -6) -9

Multiplying by -14, we have ...

  -14y = 15x -90 +126

Adding 14y-36 to both sides gives ...

  -36 = 15x +14y . . . . matches choice A

The standard-form equation is ...

  15x +14y = -36

_____

<em>Additional comments</em>

It can be easier to start with the form ...

  (Δy)x -(Δx)y = (Δy)x1 -(Δx)y1 . . . . . where Δx = x2-x1 and Δy = y2-y1

This gives ...

  (6+9)x -(-8-6)y = 15(6) +14(-9)

  15x +14y = -36 . . . simplified

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You can also start with the slope-intercept form or the point-slope form, if you're more familiar with those. The result will be the same. I find it handy to be familiar with a number of different forms of the equation for a line.

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Step-by-step explanation:

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Step-by-step explanation:

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