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kherson [118]
3 years ago
5

Julia has saved 108 sand dollars and wants to give them away equally to x friends. Write an expression to show how many sand dol

lars each of Julia’s friends will receive. Then, find the total number of sand dollars each of Julia’s friends will get if Julia gives them to 12 friends.
Mathematics
1 answer:
Xelga [282]3 years ago
3 0

Answer:

  • s = 108/x . . . . s = sand dollars each friend gets
  • each of the 12 friends gets 9 sand dollars

Step-by-step explanation:

The point of a fraction is to express the size of something that has been divided into a number of parts equal to the denominator. For example, 1/3 represents the amount when 1 unit is divided into 3 parts.

Here, Julia has 108 that she wants to divide into x parts. The fraction 108/x will tell the size of each part.

__

When x=12, the fraction becomes 108/12 = 9/1 = 9. Each friend gets 9 sand dollars.

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Answer <u>(assuming it can be in slope-intercept form)</u>:

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Step-by-step explanation:

1) First, we need to find the slope of the given equation. To do that easily, convert it to slope-intercept form, represented by the formula  y = mx + b. Isolate y:

2x + y = 3\\y = -2x + 3

The number in place of m, or the coefficient of the x-term, represents the slope of the equation. So, the slope of the given equation is -2.

Lines that are parallel share the same slope. So, the slope of the new equation will be -2 as well.  

2) Now, remember that the slope-intercept form is represented by the formula y = mx + b. In order to write an equation of a line using that formula, we need to substitute values for m and b. We know m is the slope, so we already know what that equals. Now, we just need to find b.

To do that, substitute -2 for m in the slope-intercept formula. Additionally, substitute the x and y values of the point (2,6) for the x and y in the formula as well. This sets up the equation so that we can isolate b and find its values:  

y = mx +b\\6 = (-2)(2)+b\\6 = -4 + b\\10 = b

So, b = 10.

3) Substitute values for b and m into the slope-intercept formula to write the slope-intercept form of the line:

y = -2x  +10

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