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loris [4]
2 years ago
5

A battle contains 4 1/2 cups of juice One serving of the juice 3/4 * c * u * p How many servings are in the bottle ?

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
4 0

Answer:

6

Step-by-step explanation:

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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),
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Step-by-step explanation:

As

  • The graph of the function passes through the point (2,1), and
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so

x             y

2             1

3             5

4             9

5             13

6             17

and so on

From the table:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

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As the slope-intercept form of the line is

y=mx+b

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

1=\left(4\right)2+b

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8+b-8=1-8

b=-7

So putting b=-7 and m=4  in the slope-intercept form of the line

y=\left(4\right)x+\left(-7\right)

y=4x-7

Therefore, the equation for the linear function will be:

y=4x-7

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If it takes Katie 4 hours to make 20 cupcakes that at that rate how many cupcakes could made in 12 hours answer
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Answer:

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<span>Dawn was at 6 am. Variables a = distance from a to passing point b = distance from b to passing point c = speed of hiker 1 d = speed of hiker 2 x = number of hours prior to noon when dawn is The first hiker travels for x hours to cover distance a, and the 2nd hiker then takes 9 hours to cover that same distance. This can be expressed as a = cx = 9d cx = 9d x = 9d/c The second hiker travels for x hours to cover distance b, and the 1st hiker then takes 4 hours to cover than same distance. Expressed as b = dx = 4c dx = 4c x = 4c/d We now have two expressions for x, set them equal to each other. 9d/c = 4c/d Multiply both sides by d 9d^2/c = 4c Divide both sides by c 9d^2/c^2 = 4 Interesting... Both sides are exact squares. Take the square root of both sides 3d/c = 2 d/c = 2/3 We now know the ratio of the speeds of the two hikers. Let's see what X is now. x = 9d/c = 9*2/3 = 18/3 = 6 x = 4c/d = 4*3/2 = 12/2 = 6 Both expressions for x, claim x to be 6 hours. And 6 hours prior to noon is 6am. We don't know the actual speeds of the two hikers, nor how far they actually walked. But we do know their relative speeds. And that's enough to figure out when dawn was.</span>
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