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bazaltina [42]
2 years ago
6

The amount of orange juice in a bottle is modeled by the equation y=128-8x, where y is the number of ounces of juice in the bott

le, and x is the number of servings or juice poured from the bottle.
How many servings are in a bottle?
Mathematics
1 answer:
Vanyuwa [196]2 years ago
6 0

Answer:

There are 16 servings in the bottle.

Step-by-step explanation:

The equation for the amount of juice left in the bottle is:

y = 128 - 8*x

Where x is the number of servings of juice poured from the bottle.

The total number of servings that are in the bottle is the value of x such that we have y = 0 (because in that point, we do not have more juice left)

Then we need to solve:

y = 0 = 128 - 8*x

8*x = 128

now we can just divide both sides by 8

x = 128/8 = 16

There are 16 servings in the bottle.

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CaHeK987 [17]

6x - 5y = 3          x1

3x - 8y = -15    x2

===============

6x - 5y = 3

6x - 16y = -30

============= -

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y = 3

6x - 5(3) = 3

6x -15 = 3

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(3,3)

7 0
2 years ago
HELP PLS ITS URGENT
marysya [2.9K]

Melanie: 15 years old

Kevin: 5 years old

Assume Kevin's present age is x.

That means that 3 years ago, his age would be x - 3.

Melanie's age would be 6(x - 3).

Same thing for 5 years into the future:

Kevin's age would be x + 5.

Melanie's age would be 2(x + 5).

The two equations we have here are:

\left \{ {{x + 5 = 2(x + 5)} \atop {x - 3 = 6(x - 3)}} \right.

By subtracting both equations, we are simplified to:

8 = -4x + 28

By solving the equation, we get x = 5.

That means that Kevin's current age is 5 years old.

Melanie's age could be calculated by substituting Kevins'.

6(x - 3) --> 6(5 - 3) --> 12

Since that was 3 years ago, you need to add 3 to 12 to get her current age.

12 + 3 = 15

Melanie's current age is 15 years old.

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What is the slope of the line represented by the equation y + 3 = -4(X-5)?
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Step-by-step explanation:

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3 years ago
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