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Hitman42 [59]
4 years ago
7

During the past half hour, a restaurant has had 23 orders for Coke and 15 orders for Sprite. How many more orders have there bee

n for Coke than for Sprite?
Mathematics
1 answer:
den301095 [7]4 years ago
5 0
23 - 15 = 8 orders

8 more orders for Coke
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A garden has four sides that are all the same length. Each side measures x + 4 units. The garden's perimeter in 112. What is the
KIM [24]
The value of x = 24

Since there’s 4 even sides, add up the number you know. So, 4 • 4 = 16. Then subtract 16 from the perimeter of 112 to get 96. Lastly, divide that number by 4 to find what x equals. And, 96 / 4 = 24.

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What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?
dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

5y = -2x + b

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

\frac{5}{5}y = -\frac{2}{5}x + b

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

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Add 2 to both sides to isolate b.

-4 + 2 = b

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Now that we have the y intercept, we can write the equation of the line, which is y = -\frac{2}{5}x - 2.

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